Finite Group Databasebeta

← C2×#22624108 #33993169

Subgroups — C2×#22624108 #33993169

Order 18688.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624108C2132yesmaximal, direct product factor
2C2×#17989335C211yesmaximal, characteristic, complemented
3C2×#17989334C211yesmaximal, characteristic, complemented
4C2×#17989328C211yesmaximal, characteristic, complemented
5C2×#17989325C211yesmaximal, characteristic, complemented
6C2×#17989285C211yesmaximal, characteristic, complemented
7C2×#17989262C211yesmaximal, characteristic, complemented
8C2×#17989261C211yesmaximal, characteristic, complemented
9C2×#17989233C211yesmaximal, characteristic, complemented
10C2×#17989232C211yesmaximal, characteristic, complemented
11C2×#17989232C211yesmaximal, characteristic, complemented
12C2×#17989229C211yesmaximal, characteristic, complemented
13C2×#17989226C211yesmaximal, characteristic, complemented
14C2×#17989226C211yesmaximal, characteristic, complemented
15C2×D4×D292C211yesmaximal, characteristic, complemented
16C2×#17989221C211yesmaximal, characteristic, complemented
17C2×#17989192C211yesmaximal, characteristic, complemented
18C2×#17989189C211yesmaximal, characteristic, complemented
19C2×#17989185C211yesmaximal, characteristic, complemented
20C2×#17989179C211yesmaximal, characteristic, complemented
21C2×#17989178C211yesmaximal, characteristic, complemented
22C2×#17989176C211yesmaximal, characteristic, complemented
23C2×#17989170C211yesmaximal, characteristic, complemented
24C2×#17989170C211yesmaximal, characteristic, complemented
25C2×#17989164C211yesmaximal, characteristic, complemented
26C2×#17989148C211yesmaximal, characteristic, complemented
27C2×#17989145C211yesmaximal, characteristic, complemented
28C2×#17989145C211yesmaximal, characteristic, complemented
29C2×#17989096C211yesmaximal, characteristic, complemented
30C22×#14556576C211yesmaximal, characteristic, complemented
31C2×#121×D73C211yesmaximal, characteristic, complemented
32C2×#553×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic, complemented
34C22×#11924027C2211yescharacteristic, complemented
35C22×#11924027C2211yescharacteristic, complemented
36C23×D292C2211yescharacteristic
37C23×D292C2211yescharacteristic, complemented
38C22×D4×D73C2211yescharacteristic, complemented
39C22×D4×D73C2211yescharacteristic, complemented
40C22×D4×D73C2211yescharacteristic, complemented
41C22×D4×D73C2211yescharacteristic, complemented
42C22×D4×D73C2211yescharacteristic, complemented
43C22×D4×D73C2211yescharacteristic, complemented
44C23×C4×D73C2211yescharacteristic, complemented
45#17989335C22116yescomplemented
46#17989334C22116yescomplemented
47#17989328C22116yescomplemented
48#17989325C22116yescomplemented
49#17989285C22116yescomplemented
50#17989262C22116yescomplemented
51#17989261C22116yescomplemented
52#17989233C22116yescomplemented
53#17989232C22116yescomplemented
54#17989232C22116yescomplemented
55#17989229C22116yescomplemented
56#17989226C22116yescomplemented
57#17989226C22116yescomplemented
58D4×D292C22116yescomplemented
59#17989221C22116yescomplemented
60#17989192C22116yescomplemented
61#17989189C22116yescomplemented
62#17989185C22116yescomplemented
63#17989179C22116yescomplemented
64#17989178C22116yescomplemented
65#17989176C22116yescomplemented
66#17989170C22116yescomplemented
67#17989170C22116yescomplemented
68#17989164C22116yescomplemented
69#17989148C22116yescomplemented
70#17989145C22116yescomplemented
71#17989145C22116yescomplemented
72C2×#14556588C2211yescharacteristic, complemented
73C2×#14556587C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556585C2211yescharacteristic, complemented
78C2×#14556585C2211yescharacteristic, complemented
79C2×#14556584C2211yescharacteristic, complemented
80C2×#14556583C2211yescharacteristic, complemented
81C2×#14556582C2211yescharacteristic, complemented
82C2×#14556581C2211yescharacteristic, complemented
83C2×#14556579C2211yescharacteristic, complemented
84C2×#14556579C2211yescharacteristic, complemented
85C2×#14556579C2211yescharacteristic, complemented
86C2×#14556577C2211yescharacteristic, complemented
87C2×#14556577C2211yescharacteristic, complemented
88C2×#14556577C2211yescharacteristic, complemented
89#17989096C22116yescomplemented
90C2×#14556576C2211yescharacteristic, complemented
91C2×#14556576C2211yescharacteristic, complemented
92C2×#14556576C2211yescharacteristic, complemented
93C2×#14556576C2211yescharacteristic, complemented
94C2×#14556576C2211yescharacteristic, complemented
95C2×#14556576C2211yescharacteristic, complemented
96C2×#14556576C2211yescharacteristic, complemented
97C2×#14556576C2211yescharacteristic, complemented
98C2×#14556576C2211yescharacteristic, complemented
99C2×#14556576C2211yescharacteristic, complemented
100C2×#14556576C2211yescharacteristic, complemented
101C2×#14556576C2211yescharacteristic, complemented
102C2×#14556576C2211yescharacteristic, complemented
103C2×#14556576C2211yescharacteristic, complemented
104C2×#14556576C2211yescharacteristic, complemented
105C2×#14556576C2211yescharacteristic, complemented
106C2×#14556576C22116yescomplemented
107C2×#14556575C2211yescharacteristic, complemented
108C2×#14556575C2211yescharacteristic, complemented
109C2×#14556575C2211yescharacteristic, complemented
110C2×#14556574C2211yescharacteristic, complemented
111C2×#14556574C2211yescharacteristic, complemented
112C2×#14556573C2211yescharacteristic, complemented
113C2×#14556573C2211yescharacteristic, complemented
114C2×#14556573C2211yescharacteristic, complemented
115C2×#14556573C2211yescharacteristic, complemented
116C2×#14556572C2211yescharacteristic, complemented
117C2×#14556571C2211yescharacteristic, complemented
118C2×#14556571C2211yescharacteristic, complemented
119C2×#14556570C2211yescharacteristic, complemented
120C2×#14556569C2211yescharacteristic, complemented
121C2×#14556569C2211yescharacteristic, complemented
122C2×#14556569C2211yescharacteristic, complemented
123C2×#14556569C2211yescharacteristic, complemented
124C2×#14556569C2211yescharacteristic, complemented
125C2×#14556569C2211yescharacteristic, complemented
126C2×#14556568C2211yescharacteristic, complemented
127C2×#14556568C2211yescharacteristic, complemented
128C2×#14556568C2211yescharacteristic, complemented
129C2×#14556566C2211yescharacteristic
130C2×#14556566C2211yescharacteristic, complemented
131C2×#14556566C2211yescharacteristic, complemented
132C2×#14556566C2211yescharacteristic, complemented
133C2×#14556566C2211yescharacteristic, complemented
134C2×#14556566C2211yescharacteristic, complemented
135C2×#14556566C2211yescharacteristic, complemented
136C2×#14556565C2211yescharacteristic, complemented
137C2×#14556565C2211yescharacteristic, complemented
138C2×#14556565C2211yescharacteristic, complemented
139C2×#14556565C2211yescharacteristic, complemented
140C2×#14556565C2211yescharacteristic, complemented
141C2×#14556565C2211yescharacteristic, complemented
142C2×#14556565C2211yescharacteristic, complemented
143C2×#14556564C2211yescharacteristic
144C2×#14556564C2211yescharacteristic, complemented
145C2×#14556564C2211yescharacteristic, complemented
146C2×#14556564C2211yescharacteristic, complemented
147C2×#14556564C2211yescharacteristic, complemented
148C2×#14556564C2211yescharacteristic, complemented
149C2×#14556564C2211yescharacteristic, complemented
150C2×#14556564C2211yescharacteristic, complemented
151C2×#14556564C2211yescharacteristic, complemented
152C2×#14556564C2211yescharacteristic, complemented
153C2×#14556563C2211yescharacteristic
154C2×#14556563C2211yescharacteristic, complemented
155C2×#14556563C2211yescharacteristic, complemented
156C2×#14556563C2211yescharacteristic, complemented
157C2×#14556563C2211yescharacteristic, complemented
158C2×#14556563C2211yescharacteristic, complemented
159C2×#14556563C2211yescharacteristic, complemented
160C2×#14556562C2211yescharacteristic, complemented
161#121×D73C22116yescomplemented
162C2×#14556561C2211yescharacteristic
163C2×#14556561C2211yescharacteristic
164C2×#14556561C2211yescharacteristic, complemented
165C2×#14556561C2211yescharacteristic, complemented
166C2×#14556561C2211yescharacteristic, complemented
167C2×#14556561C2211yescharacteristic, complemented
168C2×#14556561C2211yescharacteristic, complemented
169C2×#14556561C2211yescharacteristic, complemented
170C2×#14556561C2211yescharacteristic, complemented
171C2×#14556561C2211yescharacteristic, complemented
172C2×#14556559C2211yescharacteristic, complemented
173C2×#14556559C2211yescharacteristic, complemented
174C2×#14556559C2211yescharacteristic, complemented
175C2×#14556559C2211yescharacteristic, complemented
176C2×#14556559C2211yescharacteristic, complemented
177C2×#14556559C2211yescharacteristic, complemented
178C2×C4×D292C2211yescharacteristic, complemented
179C2×C4×D292C2211yescharacteristic, complemented
180C2×C4×D292C2211yescharacteristic, complemented
181C2×C4×D292C2211yescharacteristic, complemented
182C2×#14556553C2211yescharacteristic, complemented
183C2×#14556553C2211yescharacteristic, complemented
184C2×C4×C22⋊D73C2211yescharacteristic, complemented
185C2×C4×C22⋊D73C2211yescharacteristic, complemented
186C2×C4×C22⋊D73C2211yescharacteristic, complemented
187C2×C4×C22⋊D73C2211yescharacteristic, complemented
188C2×#14556551C2211yescharacteristic, complemented
189C2×#14556551C2211yescharacteristic, complemented
190C2×#14556549C2211yescharacteristic, complemented
191C2×#14556548C2211yescharacteristic, complemented
192C22×#11924007C2211yescharacteristic, complemented
193C2×C4⋊C4×D73C2211yescharacteristic, complemented
194C22×#11924005C2211yescharacteristic, complemented
195C22×#11924005C2211yescharacteristic, complemented
196C22×#11924005C2211yescharacteristic, complemented
197C22×#11924005C2211yescharacteristic, complemented
198C22×#11924005C2211yescharacteristic, complemented
199C2×C22⋊C4×D73C2211yescharacteristic, complemented
200C2×C22⋊C4×D73C2211yescharacteristic, complemented
201C2×C22⋊C4×D73C2211yescharacteristic, complemented
202C2×C22⋊C4×D73C2211yescharacteristic, complemented
203#553×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#125×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic, complemented
209C2×#121×C73C2211yescharacteristic, complemented
210C2×#121×C73C2211yescharacteristic, complemented
211C2×#121×C73C2211yescharacteristic, complemented
212C2×#121×C73C2211yescharacteristic, complemented
213C2×C4×D4×C73C2211yescharacteristic, complemented
214C2×C4×D4×C73C2211yescharacteristic, complemented
215C2×C4×D4×C73C2211yescharacteristic, complemented
216C2×C4×D4×C73C2211yescharacteristic, complemented
217C2×#117×C73C2211yescharacteristic, complemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C24×D73C2311yescharacteristic
222C24×D73C2311yescharacteristic
223C24×D73C2311yescharacteristic
224C24×D73C2311yescharacteristic
225C2×#11924028—44no—
226C2×#11924028C2318yescomplemented
227C2×#11924027—44no—
228C2×#11924027—44no—
229C2×#11924027C2318yescomplemented
230C2×#11924027C2318yescomplemented
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×D292—44no—
235C22×D292—44no—
236C22×D292C2311yescharacteristic
237C22×D292C2311yescharacteristic
238C22×D292C2311yescharacteristic
239C22×D292C2311yescharacteristic
240C22×D292C2311yescharacteristic
241C22×D292C2311yescharacteristic
242C22×D292C2311yescharacteristic
243C22×D292C2311yescharacteristic
244C22×D292C2311yescharacteristic
245C22×D292C2311yescharacteristic
246C22×D292C2311yescharacteristic
247C22×D292C2311yescharacteristic
248C22×D292C2311yescharacteristic
249C22×D292C2318yes—
250C22×D292C2311yescharacteristic
251C22×D292C2311yescharacteristic
252C22×D292C2318yescomplemented
253C22×C22⋊D73C2311yescharacteristic
254C22×C22⋊D73C2311yescharacteristic
255C22×C22⋊D73C2311yescharacteristic
256C22×C22⋊D73C2311yescharacteristic
257C22×C22⋊D73C2311yescharacteristic
258C22×C22⋊D73C2311yescharacteristic
259C22×C22⋊D73C2311yescharacteristic
260C22×C22⋊D73C2311yescharacteristic
261C22×C22⋊D73C2311yescharacteristic
262C22×C22⋊D73C2311yescharacteristic
263C22×C22⋊D73C2311yescharacteristic
264C22×C22⋊D73C2311yescharacteristic
265C22×C22⋊D73C2311yescharacteristic
266C22×C22⋊D73C2311yescharacteristic
267C22×C22⋊D73C2311yescharacteristic
268C22×C22⋊D73C2311yescharacteristic
269C2×D4×D73—44no—
270C2×D4×D73—44no—
271C2×D4×D73—44no—
272C2×D4×D73—44no—
273C2×D4×D73—44no—
274C2×D4×D73—44no—
275C2×D4×D73C2318yescomplemented
276C2×D4×D73C2318yescomplemented
277C2×D4×D73C2318yescomplemented
278C2×D4×D73C2318yescomplemented
279C2×D4×D73C2318yescomplemented
280C2×D4×D73C2318yescomplemented
281C23×Dic73C2311yescharacteristic
282C23×Dic73C2311yescharacteristic
283C23×Dic73C2311yescharacteristic
284C23×Dic73C2311yescharacteristic
285C22×C4×D73—44no—
286C22×C4×D73C2311yescharacteristic
287C22×C4×D73C2311yescharacteristic
288C22×C4×D73C2311yescharacteristic
289C22×C4×D73C2311yescharacteristic
290C22×C4×D73C2311yescharacteristic
291C22×C4×D73C2311yescharacteristic
292C22×C4×D73C2311yescharacteristic
293C22×C4×D73C2311yescharacteristic
294C22×C4×D73C2311yescharacteristic
295C22×C4×D73C2311yescharacteristic
296C22×C4×D73C2311yescharacteristic
297C22×C4×D73C2311yescharacteristic
298C22×C4×D73C2311yescharacteristic
299C22×C4×D73C2318yescomplemented
300#14556588C2318yescomplemented
301#14556587C2318yescomplemented
302#14556586C2318yescomplemented
303#14556586C2318yescomplemented
304#14556586C2318yescomplemented
305#14556585C2318yescomplemented
306#14556585C2318yescomplemented
307#14556584C2318yescomplemented
308#14556583C2318yescomplemented
309#14556582C2318yescomplemented
310#14556581C2318yescomplemented
311#14556579C2318yescomplemented
312#14556579C2318yescomplemented
313#14556579C2318yescomplemented
314#14556577C2318yescomplemented
315#14556577C2318yescomplemented
316#14556577C2318yescomplemented
317#14556576C2318yescomplemented
318#14556576C2318yescomplemented
319#14556576C2318yescomplemented
320#14556576C2318yescomplemented
321#14556576C2318yescomplemented
322#14556576C2318yescomplemented
323#14556576C2318yescomplemented
324#14556576C2318yescomplemented
325#14556576C2318yescomplemented
326#14556576C2318yescomplemented
327#14556576C2318yescomplemented
328#14556576C2318yescomplemented
329#14556576C2318yescomplemented
330#14556576C2318yescomplemented
331#14556576C2318yescomplemented
332#14556576C2318yescomplemented
333#14556575C2318yescomplemented
334#14556575C2318yescomplemented
335#14556575C2318yescomplemented
336#14556574C2318yescomplemented
337#14556574C2318yescomplemented
338#14556573C2318yescomplemented
339#14556573C2318yescomplemented
340#14556573C2318yescomplemented
341#14556573C2318yescomplemented
342#14556572C2318yescomplemented
343#14556571C2318yescomplemented
344#14556571C2318yescomplemented
345#14556570C2318yescomplemented
346#14556569C2318yescomplemented
347#14556569C2318yescomplemented
348#14556569C2318yescomplemented
349#14556569C2318yescomplemented
350#14556569C2318yescomplemented
351#14556569C2318yescomplemented
352#14556568C2318yescomplemented
353#14556568C2318yescomplemented
354#14556568C2318yescomplemented
355#14556566C2318yes—
356#14556566C2318yescomplemented
357#14556566C2318yescomplemented
358#14556566C2318yescomplemented
359#14556566C2318yescomplemented
360#14556566C2318yescomplemented
361#14556566C2318yescomplemented
362#14556565C2318yescomplemented
363#14556565C2318yescomplemented
364#14556565C2318yescomplemented
365#14556565C2318yescomplemented
366#14556565C2318yescomplemented
367#14556565C2318yescomplemented
368#14556565C2318yescomplemented
369#14556564C2318yes—
370#14556564C2318yescomplemented
371#14556564C2318yescomplemented
372#14556564C2318yescomplemented
373#14556564C2318yescomplemented
374#14556564C2318yescomplemented
375#14556564C2318yescomplemented
376#14556564C2318yescomplemented
377#14556564C2318yescomplemented
378#14556564C2318yescomplemented
379#14556563C2318yes—
380#14556563C2318yescomplemented
381#14556563C2318yescomplemented
382#14556563C2318yescomplemented
383#14556563C2318yescomplemented
384#14556563C2318yescomplemented
385#14556563C2318yescomplemented
386#14556562C2318yescomplemented
387#14556561C2318yes—
388#14556561C2318yes—
389#14556561C2318yescomplemented
390#14556561C2318yescomplemented
391#14556561C2318yescomplemented
392#14556561C2318yescomplemented
393#14556561C2318yescomplemented
394#14556561C2318yescomplemented
395#14556561C2318yescomplemented
396#14556561C2318yescomplemented
397#14556559C2318yescomplemented
398#14556559C2318yescomplemented
399#14556559C2318yescomplemented
400#14556559C2318yescomplemented
401#14556559C2318yescomplemented
402#14556559C2318yescomplemented
403C4×D292C2318yescomplemented
404C4×D292C2318yescomplemented
405C4×D292C2318yescomplemented
406C4×D292C2318yescomplemented
407#14556553C2318yescomplemented
408#14556553C2318yescomplemented
409C4×C22⋊D73C2318yescomplemented
410C4×C22⋊D73C2318yescomplemented
411C4×C22⋊D73C2318yescomplemented
412C4×C22⋊D73C2318yescomplemented
413#14556551C2318yescomplemented
414#14556551C2318yescomplemented
415#14556549C2318yescomplemented
416#14556548C2318yescomplemented
417C2×C4⋊Dic73C2311yescharacteristic
418C2×C4⋊Dic73C2311yescharacteristic
419C2×C4⋊Dic73C2311yescharacteristic
420C2×C4⋊Dic73C2311yescharacteristic
421C2×C4⋊Dic73C2311yescharacteristic
422C2×C4⋊Dic73C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2311yescharacteristic
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2311yescharacteristic
427C2×#11924007C2311yescharacteristic
428C2×#11924007C2311yescharacteristic
429C2×#11924007C2311yescharacteristic
430C2×#11924007C2311yescharacteristic
431C2×#11924007C2311yescharacteristic
432C2×#11924007C2311yescharacteristic
433C2×#11924007C2311yescharacteristic
434C2×#11924007C2311yescharacteristic
435C2×#11924007C2311yescharacteristic
436C2×#11924007C2311yescharacteristic
437C2×#11924007C2318yescomplemented
438C4⋊C4×D73C2318yescomplemented
439C2×C22⋊Dic73C2311yescharacteristic
440C2×C22⋊Dic73C2311yescharacteristic
441C2×C22⋊Dic73C2311yescharacteristic
442C2×C22⋊Dic73C2311yescharacteristic
443C2×C22⋊Dic73C2311yescharacteristic
444C2×C22⋊Dic73C2311yescharacteristic
445C2×#11924005C2311yescharacteristic
446C2×#11924005C2311yescharacteristic
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2311yescharacteristic
470C2×#11924005C2311yescharacteristic
471C2×#11924005C2311yescharacteristic
472C2×#11924005C2311yescharacteristic
473C2×#11924005C2311yescharacteristic
474C2×#11924005C2311yescharacteristic
475C2×#11924005C2311yescharacteristic
476C2×#11924005C2311yescharacteristic
477C2×#11924005C2311yescharacteristic
478C2×#11924005C2311yescharacteristic
479C2×#11924005C2318yescomplemented
480C2×#11924005C2318yescomplemented
481C2×#11924005C2318yescomplemented
482C2×#11924005C2318yescomplemented
483C2×#11924005C2318yescomplemented
484C22⋊C4×D73C2318yescomplemented
485C22⋊C4×D73C2318yescomplemented
486C22⋊C4×D73C2318yescomplemented
487C22⋊C4×D73C2318yescomplemented
488C2×C4×Dic73C2311yescharacteristic
489C2×C4×Dic73C2311yescharacteristic
490C2×C4×Dic73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C22×D4×C73C2311yescharacteristic
493C22×D4×C73C2311yescharacteristic
494C22×D4×C73C2311yescharacteristic
495C22×D4×C73C2311yescharacteristic
496C22×D4×C73C2311yescharacteristic
497C23×C4×C73C2311yescharacteristic
498C23×C4×C73C2311yescharacteristic
499C23×C4×C73C2311yescharacteristic
500C23×C4×C73C2311yescharacteristic
501C23×C4×C73C2311yescharacteristic
502C23×C4×C73C2311yescharacteristic
503#126×C73C2318yescomplemented
504#126×C73C2318yescomplemented
505#125×C73C2318yescomplemented
506#123×C73C2318yescomplemented
507#123×C73C2318yescomplemented
508#121×C73C2318yescomplemented
509#121×C73C2318yescomplemented
510#121×C73C2318yescomplemented
511#121×C73C2318yescomplemented
512C4×D4×C73C2318yescomplemented
513C4×D4×C73C2318yescomplemented
514C4×D4×C73C2318yescomplemented
515C4×D4×C73C2318yescomplemented
516#117×C73C2318yescomplemented
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C4⋊C4×C73C2311yescharacteristic
520C2×C4⋊C4×C73C2311yescharacteristic
521C2×C4⋊C4×C73C2311yescharacteristic
522C2×C4⋊C4×C73C2311yescharacteristic
523C2×C4⋊C4×C73C2311yescharacteristic
524C2×C4⋊C4×C73C2311yescharacteristic
525C2×C4⋊C4×C73C2311yescharacteristic
526C2×C4⋊C4×C73C2311yescharacteristic
527C2×C4⋊C4×C73C2318yescomplemented
528C2×C22⋊C4×C73C2311yescharacteristic
529C2×C22⋊C4×C73C2311yescharacteristic
530C2×C22⋊C4×C73C2311yescharacteristic
531C2×C22⋊C4×C73C2311yescharacteristic
532C2×C22⋊C4×C73C2311yescharacteristic
533C2×C22⋊C4×C73C2311yescharacteristic
534C2×C22⋊C4×C73C2311yescharacteristic
535C2×C22⋊C4×C73C2311yescharacteristic
536C2×C22⋊C4×C73C2311yescharacteristic
537C2×C22⋊C4×C73C2311yescharacteristic
538C2×C42×C73C2311yescharacteristic
539C2×C42×C73C2311yescharacteristic
540C2×C42×C73C2311yescharacteristic
541C23×D73—24no—
542C23×D73—24no—
543C23×D73—24no—
544C23×D73—24no—
545C23×D73—24no—
546C23×D73—42no—
547C23×D73—42no—
548C23×D73—42no—
549C23×D73—42no—
550C23×D73—42no—
551C23×D73—42no—
552C23×D73—42no—
553C23×D73—42no—
554C23×D73—42no—
555C23×D73—42no—
556C23×D73—42no—
557C23×D73—42no—
558C23×D73—42no—
559C23×D73C2411yescharacteristic
560C23×D73C2411yescharacteristic
561C23×D73C2411yescharacteristic
562C23×D73C2411yescharacteristic
563C23×D73C2411yescharacteristic
564C23×D73C2411yescharacteristic
565C23×D73C2414yes—
566C23×D73C2411yescharacteristic
567C23×D73C2414yes—
568C23×D73C2414yes—
569C23×D73C2414yes—
570C23×D73C2414yes—
571C23×D73C2414yes—
572#11924028—416no—
573#11924027—416no—
574#11924027—416no—
575C2×Dic146—42no—
576C2×Dic146—42no—
577C2×Dic146—42no—
578C2×Dic146C2414yes—
579C2×Dic146C2414yes—
580C2×Dic146C2414yes—
581C2×D292—24no—
582C2×D292—24no—
583C2×D292—24no—
584C2×D292—416no—
585C2×D292—416no—
586C2×D292—42no—
587C2×D292—42no—
588C2×D292—42no—
589C2×D292—42no—
590C2×D292—42no—
591C2×D292—42no—
592C2×D292—42no—
593C2×D292—42no—
594C2×D292—42no—
595C2×D292—42no—
596C2×D292—42no—
597C2×D292—42no—
598C2×D292C2414yes—
599C2×D292C2414yes—
600C2×D292C2414yes—
601C2×D292C2414yes—
602C2×D292C2414yes—
603C2×D292C2414yes—
604C2×D292C2414yes—
605C2×D292C2414yes—
606C2×D292C2414yes—
607C2×D292C2414yes—
608C2×D292C2414yes—
609C2×D292C2414yes—
610C2×D292C2414yes—
611C2×D292C2414yes—
612C2×D292C2414yes—
613C2×C22⋊D73—24no—
614C2×C22⋊D73—24no—
615C2×C22⋊D73—24no—
616C2×C22⋊D73—24no—
617C2×C22⋊D73—42no—
618C2×C22⋊D73—42no—
619C2×C22⋊D73—42no—
620C2×C22⋊D73—42no—
621C2×C22⋊D73—42no—
622C2×C22⋊D73—42no—
623C2×C22⋊D73—42no—
624C2×C22⋊D73—42no—
625C2×C22⋊D73—42no—
626C2×C22⋊D73—42no—
627C2×C22⋊D73—42no—
628C2×C22⋊D73—42no—
629C2×C22⋊D73C2414yes—
630C2×C22⋊D73C2414yes—
631C2×C22⋊D73C2414yes—
632C2×C22⋊D73C2414yes—
633C2×C22⋊D73C2414yes—
634C2×C22⋊D73C2414yes—
635C2×C22⋊D73C2414yes—
636C2×C22⋊D73C2414yes—
637C2×C22⋊D73C2414yes—
638C2×C22⋊D73C2414yes—
639C2×C22⋊D73C2414yes—
640C2×C22⋊D73C2414yes—
641C2×C22⋊D73C2414yes—
642C2×C22⋊D73C2414yes—
643C2×C22⋊D73C2414yes—
644C2×C22⋊D73C2414yes—
645D4×D73—416no—
646D4×D73—416no—
647D4×D73—416no—
648D4×D73—416no—
649D4×D73—416no—
650D4×D73—416no—
651C22×Dic73—24no—
652C22×Dic73—42no—
653C22×Dic73—42no—
654C22×Dic73—42no—
655C22×Dic73C2411yescharacteristic
656C22×Dic73C2411yescharacteristic
657C22×Dic73C2411yescharacteristic
658C22×Dic73C2411yescharacteristic
659C22×Dic73C2411yescharacteristic
660C22×Dic73C2411yescharacteristic
661C22×Dic73C2411yescharacteristic
662C22×Dic73C2411yescharacteristic
663C22×Dic73C2411yescharacteristic
664C22×Dic73C2414yes—
665C22×Dic73C2414yes—
666C22×Dic73C2414yes—
667C22×Dic73C2414yes—
668C2×C4×D73—24no—
669C2×C4×D73—24no—
670C2×C4×D73—416no—
671C2×C4×D73—42no—
672C2×C4×D73—42no—
673C2×C4×D73—42no—
674C2×C4×D73—42no—
675C2×C4×D73—42no—
676C2×C4×D73—42no—
677C2×C4×D73—42no—
678C2×C4×D73—42no—
679C2×C4×D73—42no—
680C2×C4×D73—42no—
681C2×C4×D73—42no—
682C2×C4×D73C2414yes—
683C2×C4×D73C2414yes—
684C2×C4×D73C2414yes—
685C2×C4×D73C2414yes—
686C2×C4×D73C2414yes—
687C2×C4×D73C2414yes—
688C2×C4×D73C2414yes—
689C2×C4×D73C2414yes—
690C2×C4×D73C2414yes—
691C2×C4×D73C2414yes—
692C2×C4×D73C2414yes—
693C2×C4×D73C2414yes—
694C2×C4×D73C2414yes—
695C4⋊Dic73C2414yes—
696C4⋊Dic73C2414yes—
697C4⋊Dic73C2414yes—
698C4⋊Dic73C2414yes—
699C4⋊Dic73C2414yes—
700C4⋊Dic73C2414yes—
701#11924007C2414yes—
702#11924007C2414yes—
703#11924007C2414yes—
704#11924007C2414yes—
705#11924007C2414yes—
706#11924007C2414yes—
707#11924007C2414yes—
708#11924007C2414yes—
709#11924007C2414yes—
710#11924007C2414yes—
711#11924007C2414yes—
712#11924007C2414yes—
713#11924007C2414yes—
714#11924007C2414yes—
715C22⋊Dic73C2414yes—
716C22⋊Dic73C2414yes—
717C22⋊Dic73C2414yes—
718C22⋊Dic73C2414yes—
719C22⋊Dic73C2414yes—
720C22⋊Dic73C2414yes—
721#11924005C2414yes—
722#11924005C2414yes—
723#11924005C2414yes—
724#11924005C2414yes—
725#11924005C2414yes—
726#11924005C2414yes—
727#11924005C2414yes—
728#11924005C2414yes—
729#11924005C2414yes—
730#11924005C2414yes—
731#11924005C2414yes—
732#11924005C2414yes—
733#11924005C2414yes—
734#11924005C2414yes—
735#11924005C2414yes—
736#11924005C2414yes—
737#11924005C2414yes—
738#11924005C2414yes—
739#11924005C2414yes—
740#11924005C2414yes—
741#11924005C2414yes—
742#11924005C2414yes—
743#11924005C2414yes—
744#11924005C2414yes—
745#11924005C2414yes—
746#11924005C2414yes—
747#11924005C2414yes—
748#11924005C2414yes—
749#11924005C2414yes—
750#11924005C2414yes—
751#11924005C2414yes—
752#11924005C2414yes—
753#11924005C2414yes—
754#11924005C2414yes—
755C4×Dic73C2414yes—
756C4×Dic73C2414yes—
757C4×Dic73C2414yes—
758C24×C73C2411yescharacteristic
759C24×C73C2411yescharacteristic
760C24×C73C2411yescharacteristic
761C24×C73C2411yescharacteristic
762C2×D4×C73—24no—
763C2×D4×C73—24no—
764C2×D4×C73—24no—
765C2×D4×C73—42no—
766C2×D4×C73—42no—
767C2×D4×C73—42no—
768C2×D4×C73C2414yes—
769C2×D4×C73C2414yes—
770C2×D4×C73C2414yes—
771C2×D4×C73C2414yes—
772C2×D4×C73C2414yes—
773C2×D4×C73C2414yes—
774C22×C4×C73—42no—
775C22×C4×C73—42no—
776C22×C4×C73—42no—
777C22×C4×C73—42no—
778C22×C4×C73—42no—
779C22×C4×C73—42no—
780C22×C4×C73C2411yescharacteristic
781C22×C4×C73C2411yescharacteristic
782C22×C4×C73C2411yescharacteristic
783C22×C4×C73C2411yescharacteristic
784C22×C4×C73C2411yescharacteristic
785C22×C4×C73C2411yescharacteristic
786C22×C4×C73C2411yescharacteristic
787C22×C4×C73C2411yescharacteristic
788C22×C4×C73C2411yescharacteristic
789C22×C4×C73C2411yescharacteristic
790C22×C4×C73C2411yescharacteristic
791C22×C4×C73C2414yes—
792C22×C4×C73C2414yes—
793C22×C4×C73C2414yes—
794C22×C4×C73C2414yes—
795C22×C4×C73C2414yes—
796C22×C4×C73C2414yes—
797C4⋊C4×C73C2414yes—
798C4⋊C4×C73C2414yes—
799C4⋊C4×C73C2414yes—
800C4⋊C4×C73C2414yes—
801C4⋊C4×C73C2414yes—
802C4⋊C4×C73C2414yes—
803C4⋊C4×C73C2414yes—
804C4⋊C4×C73C2414yes—
805C4⋊C4×C73C2414yes—
806C4⋊C4×C73C2414yes—
807C22⋊C4×C73C2414yes—
808C22⋊C4×C73C2414yes—
809C22⋊C4×C73C2414yes—
810C22⋊C4×C73C2414yes—
811C22⋊C4×C73C2414yes—
812C22⋊C4×C73C2414yes—
813C22⋊C4×C73C2414yes—
814C22⋊C4×C73C2414yes—
815C22⋊C4×C73C2414yes—
816C22⋊C4×C73C2414yes—
817C42×C73C2414yes—
818C42×C73C2414yes—
819C42×C73C2414yes—
820C23×C73—22no—
821C23×C73—22no—
822C23×C73—22no—
823C23×C73—22no—
824C23×C73—22no—
825C23×C73—22no—
826C23×C73—22no—
827C23×C73—22no—
828C23×C73—22no—
829C23×C73—22no—
830C23×C73—22no—
831C23×C73H(5,𝔽2)14yes—
832C23×C73C2512yes—
833C23×C73C2512yes—
834C23×C73C2512yes—
835C23×C73C2512yes—
836C23×C73C2511yescharacteristic
837C22×D73—22no—
838C22×D73—22no—
839C22×D73—22no—
840C22×D73—22no—
841C22×D73—22no—
842C22×D73—22no—
843C22×D73—22no—
844C22×D73—22no—
845C22×D73—22no—
846C22×D73—28no—
847C22×D73—22no—
848C22×D73—22no—
849C22×D73—22no—
850C22×D73—22no—
851C22×D73—22no—
852C22×D73—22no—
853C22×D73—22no—
854C22×D73—22no—
855C22×D73—22no—
856C22×D73—22no—
857C22×D73—22no—
858C22×D73—28no—
859C22×D73—28no—
860C22×D73—28no—
861C22×D73—28no—
862C22×D73—44no—
863C22×D73—44no—
864C22×D73—44no—
865C22×D73—44no—
866C22×D73—44no—
867C22×D73—44no—
868C22×D73—44no—
869C22×D73—44no—
870C22×D73—44no—
871C22×D73—44no—
872C22×D73—44no—
873C22×D73—44no—
874C22×D73—44no—
875C22×D73—416no—
876C22×D73—88no—
877C22×D73—88no—
878C22×D73—88no—
879C22×D73—88no—
880C22×D73—88no—
881C22×D73H(5,𝔽2)14yes—
882C22×D73C2512yes—
883C22×D73C2512yes—
884C22×D73C2512yes—
885C22×D73C2512yes—
886C22×D73C2512yes—
887C22×D73C2512yes—
888C22×D73C2512yes—
889D4×C73—28no—
890D4×C73—28no—
891D4×C73—28no—
892D4×C73—44no—
893D4×C73—44no—
894D4×C73—44no—
895C2×C4×C73—22no—
896C2×C4×C73—22no—
897C2×C4×C73—22no—
898C2×C4×C73—22no—
899C2×C4×C73—22no—
900C2×C4×C73—22no—
901C2×C4×C73—22no—
902C2×C4×C73—22no—
903C2×C4×C73—22no—
904C2×C4×C73—22no—
905C2×C4×C73—22no—
906C2×C4×C73—44no—
907C2×C4×C73—44no—
908C2×C4×C73—44no—
909C2×C4×C73—44no—
910C2×C4×C73—44no—
911C2×C4×C73—44no—
912C2×C4×C73C2512yes—
913C2×C4×C73C2512yes—
914C2×C4×C73C2512yes—
915C2×C4×C73C2512yes—
916C2×C4×C73C2512yes—
917C2×C4×C73C2512yes—
918C2×C4×C73C2512yes—
919C2×C4×C73C2512yes—
920C2×C4×C73C2512yes—
921C2×C4×C73C2512yes—
922C2×C4×C73C2512yes—
923C22⋊D73—28no—
924C22⋊D73—28no—
925C22⋊D73—28no—
926C22⋊D73—28no—
927C22⋊D73—44no—
928C22⋊D73—44no—
929C22⋊D73—44no—
930C22⋊D73—44no—
931C22⋊D73—44no—
932C22⋊D73—44no—
933C22⋊D73—44no—
934C22⋊D73—44no—
935C22⋊D73—44no—
936C22⋊D73—44no—
937C22⋊D73—44no—
938C22⋊D73—44no—
939C2×Dic73—22no—
940C2×Dic73—22no—
941C2×Dic73—22no—
942C2×Dic73—22no—
943C2×Dic73—22no—
944C2×Dic73—22no—
945C2×Dic73—22no—
946C2×Dic73—22no—
947C2×Dic73—28no—
948C2×Dic73—22no—
949C2×Dic73—44no—
950C2×Dic73—44no—
951C2×Dic73—44no—
952C2×Dic73C2512yes—
953C2×Dic73C2512yes—
954C2×Dic73C2512yes—
955C2×Dic73C2512yes—
956C2×Dic73C2512yes—
957C2×Dic73C2512yes—
958C2×Dic73C2512yes—
959C2×Dic73C2512yes—
960C2×Dic73C2512yes—
961D292—28no—
962D292—28no—
963D292—28no—
964D292—44no—
965D292—44no—
966D292—44no—
967D292—44no—
968D292—44no—
969D292—44no—
970D292—44no—
971D292—44no—
972D292—44no—
973D292—44no—
974D292—44no—
975D292—44no—
976C4×D73—28no—
977C4×D73—28no—
978C4×D73—44no—
979C4×D73—44no—
980C4×D73—44no—
981C4×D73—44no—
982C4×D73—44no—
983C4×D73—44no—
984C4×D73—44no—
985C4×D73—44no—
986C4×D73—44no—
987C4×D73—44no—
988C4×D73—44no—
989Dic146—44no—
990Dic146—44no—
991Dic146—44no—
992C22×C73—22no—
993C22×C73—22no—
994C22×C73—28no—
995C22×C73—22no—
996C22×C73—22no—
997C22×C73—22no—
998C22×C73—22no—
999C22×C73—22no—
1000C22×C73—22no—
1001C22×C73—22no—
1002C22×C73—22no—
1003C22×C73—22no—
1004C22×C73—44no—
1005C22×C73—44no—
1006C22×C73—44no—
1007C22×C73C2×H(5,𝔽2)12yes—
1008C22×C73C2×H(5,𝔽2)14yes—
1009C22×C73C2×H(5,𝔽2)12yes—
1010C22×C73#58512yes—
1011C22×C73C2611yescharacteristic
1012C2×D73—22no—
1013C2×D73—22no—
1014C2×D73—28no—
1015C2×D73—22no—
1016C2×D73—22no—
1017C2×D73—22no—
1018C2×D73—22no—
1019C2×D73—22no—
1020C2×D73—22no—
1021C2×D73—22no—
1022C2×D73—22no—
1023C2×D73—22no—
1024C2×D73—22no—
1025C2×D73—22no—
1026C2×D73—22no—
1027C2×D73—22no—
1028C2×D73—22no—
1029C2×D73—22no—
1030C2×D73—22no—
1031C2×D73—22no—
1032C2×D73—22no—
1033C2×D73—416no—
1034C2×D73—44no—
1035C2×D73—44no—
1036C2×D73—44no—
1037C2×D73—44no—
1038C2×D73—44no—
1039C2×D73—44no—
1040C2×D73—88no—
1041C2×D73—88no—
1042C2×D73—88no—
1043C2×D73—88no—
1044C2×D73—88no—
1045C2×D73C2×H(5,𝔽2)14yes—
1046C4×C73—22no—
1047C4×C73—22no—
1048C4×C73—22no—
1049C4×C73—22no—
1050C4×C73—22no—
1051C4×C73—22no—
1052C4×C73—22no—
1053C4×C73—22no—
1054C4×C73—22no—
1055C4×C73—22no—
1056C4×C73—22no—
1057Dic73—22no—
1058Dic73—22no—
1059Dic73—22no—
1060Dic73—22no—
1061Dic73—22no—
1062Dic73—22no—
1063Dic73—22no—
1064Dic73—22no—
1065Dic73—22no—
1066C2×#3534—731nomaximal, Sylow
1067C2×C73—24no—
1068C2×C73—42no—
1069C2×C73—42no—
1070C2×C73—42no—
1071C2×C73#353414yescomplemented
1072C2×C73C22×H(5,𝔽2)11yescharacteristic
1073C2×C73C22×H(5,𝔽2)11yescharacteristic
1074C2×C73C2×#58511yescharacteristic
1075D73—24no—
1076D73—42no—
1077D73—42no—
1078D73—42no—
1079D73—42no—
1080D73—42no—
1081D73—42no—
1082#3534—7332no—
1083C2×#562—731no—
1084C2×#562—731no—
1085C2×#560—731no—
1086C2×#560—731no—
1087C2×#553—731no—
1088C2×#553D7311yescharacteristic, complemented
1089C2×#551—731no—
1090C2×#551—731no—
1091C2×#546—731no—
1092C2×#546—731no—
1093C2×#546—731no—
1094C2×#546—731no—
1095C2×#546—731no—
1096C2×#546—731no—
1097C2×D42—731no—
1098C2×D42—731no—
1099C2×#540—731no—
1100C2×#540—731no—
1101C2×#539—731no—
1102C2×#539—731no—
1103C2×#539—731no—
1104C2×#538—731no—
1105C2×#538—731no—
1106C2×#538—731no—
1107C2×#537—731no—
1108C2×#534—731no—
1109C2×#534—731no—
1110C2×#534—731no—
1111C2×#525—731no—
1112C22×#123—731no—
1113C22×#121—731no—
1114C73C2×#353411yescharacteristic, complemented, Sylow
1115C22×#41—731no—
1116C22×#41—731no—
1117C22×#41—731no—
1118C23×D4—731no—
1119C23×D4—731no—
1120C23×D4—731no—
1121C23×D4—731no—
1122C23×D4—731no—
1123C23×D4—731no—
1124C23×D4—731no—
1125C23×D4—731no—
1126C24×C4—731no—
1127#562—7316no—
1128#562—7316no—
1129#560—7316no—
1130#560—7316no—
1131#553—7316no—
1132#553C2×D73116yescomplemented
1133#551—7316no—
1134#551—7316no—
1135#546—7316no—
1136#546—7316no—
1137#546—7316no—
1138#546—7316no—
1139#546—7316no—
1140#546—7316no—
1141D42—7316no—
1142D42—7316no—
1143#540—7316no—
1144#540—7316no—
1145#539—7316no—
1146#539—7316no—
1147#539—7316no—
1148#538—7316no—
1149#538—7316no—
1150#538—7316no—
1151#537—7316no—
1152#534—7316no—
1153#534—7316no—
1154#534—7316no—
1155C2×#127—731no—
1156C2×#127—731no—
1157C2×#126—731no—
1158C2×#126—731no—
1159C2×#126—731no—
1160C2×#126—731no—
1161C2×#126—731no—
1162C2×#126—731no—
1163C2×#126C2×D7311yescharacteristic, complemented
1164C2×#126C2×D7311yescharacteristic, complemented
1165C2×#125—731no—
1166C2×#125—731no—
1167C2×#125—731no—
1168C2×#125C2×D7311yescharacteristic, complemented
1169C2×#124—731no—
1170C2×#124—731no—
1171C2×#124—731no—
1172C2×#124—731no—
1173C2×#124—731no—
1174C2×#124—731no—
1175#525—7316no—
1176C2×#123—731no—
1177C2×#123—731no—
1178C2×#123—731no—
1179C2×#123—731no—
1180C2×#123—731no—
1181C2×#123—731no—
1182C2×#123—731no—
1183C2×#123—731no—
1184C2×#123—731no—
1185C2×#123—731no—
1186C2×#123—731no—
1187C2×#123—731no—
1188C2×#123—731no—
1189C2×#123—731no—
1190C2×#123—731no—
1191C2×#123—731no—
1192C2×#123—731no—
1193C2×#123—731no—
1194C2×#123—731no—
1195C2×#123—7316no—
1196C2×#123—731no—
1197C2×#123—731no—
1198C2×#123—731no—
1199C2×#123—731no—
1200C2×#123—731no—
1201C2×#123—731no—
1202C2×#123—731no—
1203C2×#123C2×D7311yescharacteristic, complemented
1204C2×#123C2×D7311yescharacteristic, complemented
1205C2×C22⋊Q8—731no—
1206C2×C22⋊Q8—731no—
1207C2×C22⋊Q8—731no—
1208C2×C22⋊Q8—731no—
1209C2×C22⋊Q8—731no—
1210C2×C22⋊Q8—731no—
1211C2×C22⋊Q8—731no—
1212C2×C22⋊Q8—731no—
1213C2×C22⋊Q8—731no—
1214C2×C22⋊Q8—731no—
1215C2×C22⋊Q8—731no—
1216C2×C22⋊Q8—731no—
1217C2×#121—731no—
1218C2×#121—731no—
1219C2×#121—731no—
1220C2×#121—731no—
1221C2×#121—731no—
1222C2×#121—731no—
1223C2×#121—731no—
1224C2×#121—731no—
1225C2×#121—731no—
1226C2×#121—731no—
1227C2×#121—731no—
1228C2×#121—731no—
1229C2×#121—731no—
1230C2×#121—731no—
1231C2×#121—731no—
1232C2×#121—7316no—
1233C2×#121—731no—
1234C2×#121—731no—
1235C2×#121—731no—
1236C2×#121—731no—
1237C2×#121—731no—
1238C2×#121—731no—
1239C2×#121—731no—
1240C2×#121—731no—
1241C2×#121—731no—
1242C2×#121—731no—
1243C2×#121—731no—
1244C2×#121—731no—
1245C2×#121—731no—
1246C2×#121—731no—
1247C2×#121—731no—
1248C2×#121—731no—
1249C2×#121—731no—
1250C2×#121C2×D7311yescharacteristic, complemented
1251C2×#121C2×D7311yescharacteristic, complemented
1252C2×#121C2×D7311yescharacteristic, complemented
1253C2×#121C2×D7311yescharacteristic, complemented
1254C2×#120—731no—
1255C2×#120—731no—
1256C2×#120—731no—
1257C2×#120—731no—
1258C2×#120—731no—
1259C2×#120—731no—
1260C2×#120—731no—
1261C2×#120—731no—
1262C2×#120—731no—
1263C2×#120—731no—
1264C2×#120—731no—
1265C2×#120—731no—
1266C2×#120—731no—
1267C2×#120—731no—
1268C2×#120—731no—
1269C2×#120—731no—
1270C2×C4×D4—731no—
1271C2×C4×D4—731no—
1272C2×C4×D4—731no—
1273C2×C4×D4—731no—
1274C2×C4×D4—731no—
1275C2×C4×D4—731no—
1276C2×C4×D4—731no—
1277C2×C4×D4—731no—
1278C2×C4×D4—731no—
1279C2×C4×D4—731no—
1280C2×C4×D4—731no—
1281C2×C4×D4—731no—
1282C2×C4×D4C2×D7311yescharacteristic, complemented
1283C2×C4×D4C2×D7311yescharacteristic, complemented
1284C2×C4×D4C2×D7311yescharacteristic, complemented
1285C2×C4×D4C2×D7311yescharacteristic, complemented
1286C2×#117—731no—
1287C2×#117—731no—
1288C2×#117C2×D7311yescharacteristic, complemented
1289C22×C4⋊C4—731no—
1290C22×C4⋊C4—731no—
1291C22×C4⋊C4C2×D7311yescharacteristic, complemented
1292C22×C22⋊C4—731no—
1293C22×C22⋊C4—731no—
1294C22×C22⋊C4—731no—
1295C22×C22⋊C4—731no—
1296C22×C22⋊C4—731no—
1297C22×C22⋊C4—731no—
1298C22×C22⋊C4—731no—
1299C22×C22⋊C4—731no—
1300C22×C22⋊C4—731no—
1301C25—731no—
1302C25—731no—
1303C25—731no—
1304C25—731no—
1305C25—731no—
1306C25—731no—
1307C2×#41—2924no—
1308C2×#41—2924no—
1309C2×#41—2924no—
1310C2×#41—738no—
1311C2×#41—738no—
1312C2×#41—738no—
1313C22×Q8—731no—
1314C22×Q8—731no—
1315C22×Q8—731no—
1316C22×D4—2924no—
1317C22×D4—2924no—
1318C22×D4—2924no—
1319C22×D4—2924no—
1320C22×D4—2924no—
1321C22×D4—2924no—
1322C22×D4—2924no—
1323C22×D4—2924no—
1324C22×D4—731no—
1325C22×D4—731no—
1326C22×D4—731no—
1327C22×D4—731no—
1328C22×D4—731no—
1329C22×D4—731no—
1330C22×D4—731no—
1331C22×D4—731no—
1332C22×D4—731no—
1333C22×D4—731no—
1334C22×D4—731no—
1335C22×D4—731no—
1336C22×D4—738no—
1337C22×D4—738no—
1338C22×D4—738no—
1339C22×D4—738no—
1340C22×D4—738no—
1341C22×D4—738no—
1342C22×D4—731no—
1343C22×D4—731no—
1344C22×D4—731no—
1345C22×D4—731no—
1346C22×D4—731no—
1347C22×D4—731no—
1348C22×D4—731no—
1349C22×D4—731no—
1350C22×D4—731no—
1351C22×D4—731no—
1352C22×D4—731no—
1353C22×D4—731no—
1354C22×D4—731no—
1355C22×D4—731no—
1356C22×D4—731no—
1357C22×D4—731no—
1358C22×D4—738no—
1359C22×D4—738no—
1360C22×D4—731no—
1361C22×D4—731no—
1362C22×D4—731no—
1363C22×D4C22×D7311yescharacteristic
1364C22×D4C22×D7311yescharacteristic
1365C22×D4C22×D7311yescharacteristic
1366C22×D4C22×D7311yescharacteristic
1367C22×D4C22×D7311yescharacteristic
1368C22×D4C22×D7311yescharacteristic
1369C23×C4—2924no—
1370C23×C4—731no—
1371C23×C4—731no—
1372C23×C4—731no—
1373C23×C4—731no—
1374C23×C4—731no—
1375C23×C4—731no—
1376C23×C4—731no—
1377C23×C4—731no—
1378C23×C4—731no—
1379C23×C4—731no—
1380C23×C4—731no—
1381C23×C4—731no—
1382C23×C4—731no—
1383C23×C4—731no—
1384C23×C4—738no—
1385C23×C4—731no—
1386C23×C4—731no—
1387C23×C4—731no—
1388C23×C4C22×D7311yescharacteristic
1389C23×C4C22×D7311yescharacteristic
1390C23×C4C22×D7311yescharacteristic
1391C23×C4C22×D7311yescharacteristic
1392C23×C4C22×D7311yescharacteristic
1393C23×C4C22×D7311yescharacteristic
1394#127—738no—
1395#127—738no—
1396#126—738no—
1397#126—738no—
1398#126—738no—
1399#126—738no—
1400#126—738no—
1401#126—738no—
1402#126C22×D7318yescomplemented
1403#126C22×D7318yescomplemented
1404#125—738no—
1405#125—738no—
1406#125—738no—
1407#125C22×D7318yescomplemented
1408#124—738no—
1409#124—738no—
1410#124—738no—
1411#124—738no—
1412#124—738no—
1413#124—738no—
1414#123—738no—
1415#123—738no—
1416#123—738no—
1417#123—738no—
1418#123—738no—
1419#123—738no—
1420#123—738no—
1421#123—738no—
1422#123—738no—
1423#123—738no—
1424#123—738no—
1425#123—738no—
1426#123—738no—
1427#123—738no—
1428#123—738no—
1429#123—738no—
1430#123—738no—
1431#123—738no—
1432#123—738no—
1433#123—738no—
1434#123—738no—
1435#123—738no—
1436#123—738no—
1437#123—738no—
1438#123—738no—
1439#123—738no—
1440#123C22×D7318yescomplemented
1441#123C22×D7318yescomplemented
1442C22⋊Q8—738no—
1443C22⋊Q8—738no—
1444C22⋊Q8—738no—
1445C22⋊Q8—738no—
1446C22⋊Q8—738no—
1447C22⋊Q8—738no—
1448C22⋊Q8—738no—
1449C22⋊Q8—738no—
1450C22⋊Q8—738no—
1451C22⋊Q8—738no—
1452C22⋊Q8—738no—
1453C22⋊Q8—738no—
1454#121—738no—
1455#121—738no—
1456#121—738no—
1457#121—738no—
1458#121—738no—
1459#121—738no—
1460#121—738no—
1461#121—738no—
1462#121—738no—
1463#121—738no—
1464#121—738no—
1465#121—738no—
1466#121—738no—
1467#121—738no—
1468#121—738no—
1469#121—738no—
1470#121—738no—
1471#121—738no—
1472#121—738no—
1473#121—738no—
1474#121—738no—
1475#121—738no—
1476#121—738no—
1477#121—738no—
1478#121—738no—
1479#121—738no—
1480#121—738no—
1481#121—738no—
1482#121—738no—
1483#121—738no—
1484#121—738no—
1485#121—738no—
1486#121C22×D7318yescomplemented
1487#121C22×D7318yescomplemented
1488#121C22×D7318yescomplemented
1489#121C22×D7318yescomplemented
1490#120—738no—
1491#120—738no—
1492#120—738no—
1493#120—738no—
1494#120—738no—
1495#120—738no—
1496#120—738no—
1497#120—738no—
1498#120—738no—
1499#120—738no—
1500#120—738no—
1501#120—738no—
1502#120—738no—
1503#120—738no—
1504#120—738no—
1505#120—738no—
1506C4×D4—738no—
1507C4×D4—738no—
1508C4×D4—738no—
1509C4×D4—738no—
1510C4×D4—738no—
1511C4×D4—738no—
1512C4×D4—738no—
1513C4×D4—738no—
1514C4×D4—738no—
1515C4×D4—738no—
1516C4×D4—738no—
1517C4×D4—738no—
1518C4×D4C22×D7318yescomplemented
1519C4×D4C22×D7318yescomplemented
1520C4×D4C22×D7318yescomplemented
1521C4×D4C22×D7318yescomplemented
1522#117—738no—
1523#117—738no—
1524#117C22×D7318yescomplemented
1525C2×C4⋊C4—731no—
1526C2×C4⋊C4—731no—
1527C2×C4⋊C4—731no—
1528C2×C4⋊C4—731no—
1529C2×C4⋊C4—731no—
1530C2×C4⋊C4—731no—
1531C2×C4⋊C4—731no—
1532C2×C4⋊C4—738no—
1533C2×C4⋊C4—731no—
1534C2×C4⋊C4—731no—
1535C2×C4⋊C4—731no—
1536C2×C4⋊C4—731no—
1537C2×C4⋊C4—731no—
1538C2×C4⋊C4—731no—
1539C2×C4⋊C4—731no—
1540C2×C4⋊C4—731no—
1541C2×C4⋊C4—731no—
1542C2×C4⋊C4—731no—
1543C2×C4⋊C4—731no—
1544C2×C4⋊C4—731no—
1545C2×C4⋊C4—731no—
1546C2×C4⋊C4—738no—
1547C2×C4⋊C4C22×D7311yescharacteristic
1548C2×C4⋊C4C22×D7311yescharacteristic
1549C2×C4⋊C4C22×D7311yescharacteristic
1550C2×C4⋊C4C22×D7311yescharacteristic
1551C2×C4⋊C4C22×D7311yescharacteristic
1552C2×C4⋊C4C22×D7311yescharacteristic
1553C2×C4⋊C4C22×D7311yescharacteristic
1554C2×C4⋊C4C22×D7311yescharacteristic
1555C2×C4⋊C4C22×D7311yescharacteristic
1556C2×C4⋊C4C22×D7311yescharacteristic
1557C2×C4⋊C4C22×D7318yescomplemented
1558C2×C22⋊C4—731no—
1559C2×C22⋊C4—731no—
1560C2×C22⋊C4—731no—
1561C2×C22⋊C4—731no—
1562C2×C22⋊C4—731no—
1563C2×C22⋊C4—731no—
1564C2×C22⋊C4—731no—
1565C2×C22⋊C4—731no—
1566C2×C22⋊C4—731no—
1567C2×C22⋊C4—731no—
1568C2×C22⋊C4—731no—
1569C2×C22⋊C4—731no—
1570C2×C22⋊C4—731no—
1571C2×C22⋊C4—731no—
1572C2×C22⋊C4—731no—
1573C2×C22⋊C4—731no—
1574C2×C22⋊C4—731no—
1575C2×C22⋊C4—731no—
1576C2×C22⋊C4—731no—
1577C2×C22⋊C4—731no—
1578C2×C22⋊C4—731no—
1579C2×C22⋊C4—731no—
1580C2×C22⋊C4—731no—
1581C2×C22⋊C4—731no—
1582C2×C22⋊C4—731no—
1583C2×C22⋊C4—731no—
1584C2×C22⋊C4—731no—
1585C2×C22⋊C4—731no—
1586C2×C22⋊C4—731no—
1587C2×C22⋊C4—738no—
1588C2×C22⋊C4—738no—
1589C2×C22⋊C4—738no—
1590C2×C22⋊C4—738no—
1591C2×C22⋊C4—738no—
1592C2×C22⋊C4—731no—
1593C2×C22⋊C4—731no—
1594C2×C22⋊C4—731no—
1595C2×C22⋊C4—731no—
1596C2×C22⋊C4—731no—
1597C2×C22⋊C4—731no—
1598C2×C22⋊C4—731no—
1599C2×C22⋊C4—731no—
1600C2×C22⋊C4—731no—
1601C2×C22⋊C4—731no—
1602C2×C22⋊C4—731no—
1603C2×C22⋊C4—738no—
1604C2×C22⋊C4—738no—
1605C2×C22⋊C4—738no—
1606C2×C22⋊C4—738no—
1607C2×C22⋊C4C22×D7311yescharacteristic
1608C2×C22⋊C4C22×D7311yescharacteristic
1609C2×C22⋊C4C22×D7311yescharacteristic
1610C2×C22⋊C4C22×D7311yescharacteristic
1611C2×C22⋊C4C22×D7311yescharacteristic
1612C2×C22⋊C4C22×D7311yescharacteristic
1613C2×C22⋊C4C22×D7311yescharacteristic
1614C2×C22⋊C4C22×D7311yescharacteristic
1615C2×C22⋊C4C22×D7311yescharacteristic
1616C2×C22⋊C4C22×D7311yescharacteristic
1617C2×C42—731no—
1618C2×C42—731no—
1619C2×C42—731no—
1620C2×C42C22×D7311yescharacteristic
1621C2×C42C22×D7311yescharacteristic
1622C2×C42C22×D7311yescharacteristic
1623C24—2922no—
1624C24—2922no—
1625C24—2922no—
1626C24—2922no—
1627C24—2922no—
1628C24—2922no—
1629C24—2922no—
1630C24—2922no—
1631C24—2922no—
1632C24—2922no—
1633C24—2922no—
1634C24—2922no—
1635C24—2922no—
1636C24—734no—
1637C24—734no—
1638C24—734no—
1639C24—734no—
1640C24—734no—
1641C24—734no—
1642C24—731no—
1643C24—731no—
1644C24—731no—
1645C24—731no—
1646C24—731no—
1647C24—731no—
1648C24—731no—
1649C24—1464no—
1650C24—1464no—
1651C24—1464no—
1652C24—1464no—
1653C24—1464no—
1654C24C23×D7311yescharacteristic
1655C24C23×D7311yescharacteristic
1656C24C23×D7311yescharacteristic
1657C24C23×D7311yescharacteristic
1658#41—29216no—
1659#41—29216no—
1660#41—29216no—
1661C2×Q8—2922no—
1662C2×Q8—2922no—
1663C2×Q8—2922no—
1664C2×Q8—734no—
1665C2×Q8—734no—
1666C2×Q8—734no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—2922no—
1674C2×D4—2922no—
1675C2×D4—2922no—
1676C2×D4—2922no—
1677C2×D4—2922no—
1678C2×D4—2922no—
1679C2×D4—2922no—
1680C2×D4—2922no—
1681C2×D4—2922no—
1682C2×D4—2922no—
1683C2×D4—2922no—
1684C2×D4—2922no—
1685C2×D4—29216no—
1686C2×D4—29216no—
1687C2×D4—29216no—
1688C2×D4—29216no—
1689C2×D4—29216no—
1690C2×D4—29216no—
1691C2×D4—29216no—
1692C2×D4—29216no—
1693C2×D4—2922no—
1694C2×D4—2922no—
1695C2×D4—2922no—
1696C2×D4—2922no—
1697C2×D4—2922no—
1698C2×D4—2922no—
1699C2×D4—2922no—
1700C2×D4—2922no—
1701C2×D4—2922no—
1702C2×D4—2922no—
1703C2×D4—2922no—
1704C2×D4—2922no—
1705C2×D4—734no—
1706C2×D4—734no—
1707C2×D4—734no—
1708C2×D4—734no—
1709C2×D4—734no—
1710C2×D4—734no—
1711C2×D4—734no—
1712C2×D4—734no—
1713C2×D4—734no—
1714C2×D4—734no—
1715C2×D4—734no—
1716C2×D4—734no—
1717C2×D4—734no—
1718C2×D4—734no—
1719C2×D4—734no—
1720C2×D4—734no—
1721C2×D4—734no—
1722C2×D4—734no—
1723C2×D4—734no—
1724C2×D4—734no—
1725C2×D4—734no—
1726C2×D4—734no—
1727C2×D4—734no—
1728C2×D4—734no—
1729C2×D4—734no—
1730C2×D4—734no—
1731C2×D4—734no—
1732C2×D4—734no—
1733C2×D4—734no—
1734C2×D4—734no—
1735C2×D4—734no—
1736C2×D4—1464no—
1737C2×D4—1464no—
1738C2×D4—1464no—
1739C2×D4—1464no—
1740C2×D4—1464no—
1741C2×D4—1464no—
1742C2×D4—1464no—
1743C2×D4C23×D7314yes—
1744C2×D4C23×D7314yes—
1745C2×D4C23×D7314yes—
1746C2×D4C23×D7314yes—
1747C2×D4C23×D7314yes—
1748C2×D4C23×D7314yes—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—2922no—
1756C22×C4—2922no—
1757C22×C4—2922no—
1758C22×C4—2922no—
1759C22×C4—2922no—
1760C22×C4—2922no—
1761C22×C4—2922no—
1762C22×C4—2922no—
1763C22×C4—2922no—
1764C22×C4—2922no—
1765C22×C4—2922no—
1766C22×C4—29216no—
1767C22×C4—2922no—
1768C22×C4—2922no—
1769C22×C4—2922no—
1770C22×C4—734no—
1771C22×C4—734no—
1772C22×C4—734no—
1773C22×C4—734no—
1774C22×C4—734no—
1775C22×C4—734no—
1776C22×C4—734no—
1777C22×C4—734no—
1778C22×C4—734no—
1779C22×C4—734no—
1780C22×C4—734no—
1781C22×C4—734no—
1782C22×C4—734no—
1783C22×C4—734no—
1784C22×C4—734no—
1785C22×C4—731no—
1786C22×C4—731no—
1787C22×C4—731no—
1788C22×C4—731no—
1789C22×C4—731no—
1790C22×C4—731no—
1791C22×C4—731no—
1792C22×C4—731no—
1793C22×C4—731no—
1794C22×C4—734no—
1795C22×C4—734no—
1796C22×C4—1464no—
1797C22×C4—1464no—
1798C22×C4—1464no—
1799C22×C4C23×D7311yescharacteristic
1800C22×C4C23×D7311yescharacteristic
1801C22×C4C23×D7311yescharacteristic
1802C22×C4C23×D7311yescharacteristic
1803C22×C4C23×D7311yescharacteristic
1804C22×C4C23×D7311yescharacteristic
1805C22×C4C23×D7311yescharacteristic
1806C22×C4C23×D7311yescharacteristic
1807C22×C4C23×D7311yescharacteristic
1808C22×C4C23×D7311yescharacteristic
1809C22×C4C23×D7311yescharacteristic
1810C22×C4C23×D7314yes—
1811C22×C4C23×D7314yes—
1812C22×C4C23×D7314yes—
1813C22×C4C23×D7314yes—
1814C22×C4C23×D7314yes—
1815C22×C4C23×D7314yes—
1816C4⋊C4—734no—
1817C4⋊C4—734no—
1818C4⋊C4—734no—
1819C4⋊C4—734no—
1820C4⋊C4—734no—
1821C4⋊C4—734no—
1822C4⋊C4—734no—
1823C4⋊C4—734no—
1824C4⋊C4—734no—
1825C4⋊C4—734no—
1826C4⋊C4—734no—
1827C4⋊C4—734no—
1828C4⋊C4—734no—
1829C4⋊C4—734no—
1830C4⋊C4—734no—
1831C4⋊C4—734no—
1832C4⋊C4—734no—
1833C4⋊C4—734no—
1834C4⋊C4—734no—
1835C4⋊C4—734no—
1836C4⋊C4C23×D7314yes—
1837C4⋊C4C23×D7314yes—
1838C4⋊C4C23×D7314yes—
1839C4⋊C4C23×D7314yes—
1840C4⋊C4C23×D7314yes—
1841C4⋊C4C23×D7314yes—
1842C4⋊C4C23×D7314yes—
1843C4⋊C4C23×D7314yes—
1844C4⋊C4C23×D7314yes—
1845C4⋊C4C23×D7314yes—
1846C22⋊C4—734no—
1847C22⋊C4—734no—
1848C22⋊C4—734no—
1849C22⋊C4—734no—
1850C22⋊C4—734no—
1851C22⋊C4—734no—
1852C22⋊C4—734no—
1853C22⋊C4—734no—
1854C22⋊C4—734no—
1855C22⋊C4—734no—
1856C22⋊C4—734no—
1857C22⋊C4—734no—
1858C22⋊C4—734no—
1859C22⋊C4—734no—
1860C22⋊C4—734no—
1861C22⋊C4—734no—
1862C22⋊C4—734no—
1863C22⋊C4—734no—
1864C22⋊C4—734no—
1865C22⋊C4—734no—
1866C22⋊C4—734no—
1867C22⋊C4—734no—
1868C22⋊C4—734no—
1869C22⋊C4—734no—
1870C22⋊C4—734no—
1871C22⋊C4—734no—
1872C22⋊C4—734no—
1873C22⋊C4—734no—
1874C22⋊C4—734no—
1875C22⋊C4—734no—
1876C22⋊C4—734no—
1877C22⋊C4—734no—
1878C22⋊C4—734no—
1879C22⋊C4—734no—
1880C22⋊C4—734no—
1881C22⋊C4—734no—
1882C22⋊C4—734no—
1883C22⋊C4—734no—
1884C22⋊C4—734no—
1885C22⋊C4—734no—
1886C22⋊C4C23×D7314yes—
1887C22⋊C4C23×D7314yes—
1888C22⋊C4C23×D7314yes—
1889C22⋊C4C23×D7314yes—
1890C22⋊C4C23×D7314yes—
1891C22⋊C4C23×D7314yes—
1892C22⋊C4C23×D7314yes—
1893C22⋊C4C23×D7314yes—
1894C22⋊C4C23×D7314yes—
1895C22⋊C4C23×D7314yes—
1896C42—734no—
1897C42—734no—
1898C42—734no—
1899C42C23×D7314yes—
1900C42C23×D7314yes—
1901C42C23×D7314yes—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—29216no—
1914C23—2924no—
1915C23—2924no—
1916C23—2924no—
1917C23—2924no—
1918C23—2924no—
1919C23—2924no—
1920C23—2924no—
1921C23—2924no—
1922C23—2924no—
1923C23—2924no—
1924C23—2924no—
1925C23—2924no—
1926C23—2924no—
1927C23—5848no—
1928C23—5848no—
1929C23—5848no—
1930C23—5848no—
1931C23—5848no—
1932C23—734no—
1933C23—732no—
1934C23—732no—
1935C23—732no—
1936C23—732no—
1937C23—732no—
1938C23—732no—
1939C23—732no—
1940C23—1468no—
1941C23—1468no—
1942C23—1468no—
1943C23—1462no—
1944C23—1462no—
1945C23—1462no—
1946C23—1462no—
1947C23—1462no—
1948C23—1462no—
1949C23—1462no—
1950C23—1462no—
1951C23—1462no—
1952C23—1462no—
1953C23—1468no—
1954C23—1462no—
1955C23—1462no—
1956C23—1462no—
1957C23—1462no—
1958C23—1462no—
1959C23—1462no—
1960C23—1462no—
1961C23—1462no—
1962C23—1468no—
1963C23—1462no—
1964C23—1462no—
1965C23#1455663714yes—
1966C23C24×D7312yes—
1967C23C24×D7312yes—
1968C23C24×D7312yes—
1969C23C24×D7312yes—
1970C23C24×D7311yescharacteristic
1971Q8—2924no—
1972Q8—2924no—
1973Q8—2924no—
1974D4—28no—
1975D4—28no—
1976D4—28no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—2924no—
1981D4—2924no—
1982D4—2924no—
1983D4—2924no—
1984D4—2924no—
1985D4—2924no—
1986D4—2924no—
1987D4—2924no—
1988D4—2924no—
1989D4—2924no—
1990D4—2924no—
1991D4—2924no—
1992D4—2924no—
1993D4—2924no—
1994D4—2924no—
1995D4—2924no—
1996D4—2924no—
1997D4—2924no—
1998D4—2924no—
1999D4—2924no—
2000D4—2924no—
2001D4—2924no—
2002D4—2924no—
2003D4—2924no—
2004D4—1468no—
2005D4—1468no—
2006D4—1468no—
2007D4—1468no—
2008D4—1468no—
2009D4—1468no—
2010D4—1468no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—2924no—
2029C2×C4—2924no—
2030C2×C4—2924no—
2031C2×C4—2924no—
2032C2×C4—2924no—
2033C2×C4—2924no—
2034C2×C4—2924no—
2035C2×C4—2924no—
2036C2×C4—2924no—
2037C2×C4—2924no—
2038C2×C4—2924no—
2039C2×C4—2924no—
2040C2×C4—2924no—
2041C2×C4—2924no—
2042C2×C4—732no—
2043C2×C4—732no—
2044C2×C4—732no—
2045C2×C4—732no—
2046C2×C4—732no—
2047C2×C4—732no—
2048C2×C4—732no—
2049C2×C4—732no—
2050C2×C4—732no—
2051C2×C4—1468no—
2052C2×C4—1468no—
2053C2×C4—1462no—
2054C2×C4—1462no—
2055C2×C4—1462no—
2056C2×C4—1462no—
2057C2×C4—1462no—
2058C2×C4—1462no—
2059C2×C4—1462no—
2060C2×C4—1462no—
2061C2×C4—1468no—
2062C2×C4—1462no—
2063C2×C4C24×D7312yes—
2064C2×C4C24×D7312yes—
2065C2×C4C24×D7312yes—
2066C2×C4C24×D7312yes—
2067C2×C4C24×D7312yes—
2068C2×C4C24×D7312yes—
2069C2×C4C24×D7312yes—
2070C2×C4C24×D7312yes—
2071C2×C4C24×D7312yes—
2072C2×C4C24×D7312yes—
2073C2×C4C24×D7312yes—
2074C22—28no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—29216no—
2090C22—2924no—
2091C22—2924no—
2092C22—2924no—
2093C22—2924no—
2094C22—2924no—
2095C22—2924no—
2096C22—5848no—
2097C22—5848no—
2098C22—5848no—
2099C22—5848no—
2100C22—5848no—
2101C22—734no—
2102C22—1462no—
2103C22—1462no—
2104C22—1462no—
2105C22—1462no—
2106C22—1462no—
2107C22—1462no—
2108C22—1462no—
2109C22—1462no—
2110C22—1462no—
2111C22—1462no—
2112C22—1462no—
2113C22—1462no—
2114C22—1462no—
2115C22—1462no—
2116C22—1462no—
2117C22—1462no—
2118C22—1462no—
2119C22—1462no—
2120C22—1468no—
2121C22—1462no—
2122C22—1462no—
2123C22H(5,𝔽2)×D7312yes—
2124C22C2×#1455663714yes—
2125C22C2×#1455663712yes—
2126C22#1798942312yes—
2127C22C25×D7311yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—1462no—
2140C4—1462no—
2141C4—1462no—
2142C4—1462no—
2143C4—1462no—
2144C4—1462no—
2145C4—1462no—
2146C4—1462no—
2147C4—1462no—
2148C2—24no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—2922no—
2153C2—2922no—
2154C2—2922no—
2155C2—2922no—
2156C2—2922no—
2157C2—2922no—
2158C2—1464no—
2159C2#2262410814yesdirect product factor
2160C2C2×H(5,𝔽2)×D7311yescharacteristic
2161C2C22×#1455663711yescharacteristic
2162C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#553×C73C2
socleC23×C73C25
hypercenterC2×#553D73
hypocenterC73C2×#3534
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#553

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624108C2direct (N × H)
2. C2×#17989335C2semidirect
3. C2×#17989334C2semidirect
4. C2×#17989328C2semidirect
5. C2×#17989325C2semidirect
6. C2×#17989285C2semidirect
7. C2×#17989262C2semidirect
8. C2×#17989261C2semidirect
9. C2×#17989233C2semidirect
10. C2×#17989232C2semidirect
11. C2×#17989232C2semidirect
12. C2×#17989229C2semidirect
13. C2×#17989226C2semidirect
14. C2×#17989226C2semidirect
15. C2×D4×D292C2semidirect
16. C2×#17989221C2semidirect
17. C2×#17989192C2semidirect
18. C2×#17989189C2semidirect
19. C2×#17989185C2semidirect
20. C2×#17989179C2semidirect
21. C2×#17989178C2semidirect
22. C2×#17989176C2semidirect
23. C2×#17989170C2semidirect
24. C2×#17989170C2semidirect
25. C2×#17989164C2semidirect
26. C2×#17989148C2semidirect
27. C2×#17989145C2semidirect
28. C2×#17989145C2semidirect
29. C2×#17989096C2semidirect
30. C22×#14556576C2semidirect
31. C2×#121×D73C2semidirect
32. C2×#553×C73C2semidirect
33. C22×#11924028C22semidirect
34. C22×#11924027C22semidirect
35. C22×#11924027C22semidirect
37. C23×D292C22semidirect
38. C22×D4×D73C22semidirect
39. C22×D4×D73C22semidirect
40. C22×D4×D73C22semidirect
41. C22×D4×D73C22semidirect
42. C22×D4×D73C22semidirect
43. C22×D4×D73C22semidirect
44. C23×C4×D73C22semidirect
45. #17989335C22semidirect
46. #17989334C22semidirect
47. #17989328C22semidirect
48. #17989325C22semidirect
49. #17989285C22semidirect
50. #17989262C22semidirect
51. #17989261C22semidirect
52. #17989233C22semidirect
53. #17989232C22semidirect
54. #17989232C22semidirect
55. #17989229C22semidirect
56. #17989226C22semidirect
57. #17989226C22semidirect
58. D4×D292C22semidirect
59. #17989221C22semidirect
60. #17989192C22semidirect
61. #17989189C22semidirect
62. #17989185C22semidirect
63. #17989179C22semidirect
64. #17989178C22semidirect
65. #17989176C22semidirect
66. #17989170C22semidirect
67. #17989170C22semidirect
68. #17989164C22semidirect
69. #17989148C22semidirect
70. #17989145C22semidirect
71. #17989145C22semidirect
72. C2×#14556588C22semidirect
73. C2×#14556587C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556585C22semidirect
78. C2×#14556585C22semidirect
79. C2×#14556584C22semidirect
80. C2×#14556583C22semidirect
81. C2×#14556582C22semidirect
82. C2×#14556581C22semidirect
83. C2×#14556579C22semidirect
84. C2×#14556579C22semidirect
85. C2×#14556579C22semidirect
86. C2×#14556577C22semidirect
87. C2×#14556577C22semidirect
88. C2×#14556577C22semidirect
89. #17989096C22semidirect
90. C2×#14556576C22semidirect
91. C2×#14556576C22semidirect
92. C2×#14556576C22semidirect
93. C2×#14556576C22semidirect
94. C2×#14556576C22semidirect
95. C2×#14556576C22semidirect
96. C2×#14556576C22semidirect
97. C2×#14556576C22semidirect
98. C2×#14556576C22semidirect
99. C2×#14556576C22semidirect
100. C2×#14556576C22semidirect
101. C2×#14556576C22semidirect
102. C2×#14556576C22semidirect
103. C2×#14556576C22semidirect
104. C2×#14556576C22semidirect
105. C2×#14556576C22semidirect
106. C2×#14556576C22semidirect
107. C2×#14556575C22semidirect
108. C2×#14556575C22semidirect
109. C2×#14556575C22semidirect
110. C2×#14556574C22semidirect
111. C2×#14556574C22semidirect
112. C2×#14556573C22semidirect
113. C2×#14556573C22semidirect
114. C2×#14556573C22semidirect
115. C2×#14556573C22semidirect
116. C2×#14556572C22semidirect
117. C2×#14556571C22semidirect
118. C2×#14556571C22semidirect
119. C2×#14556570C22semidirect
120. C2×#14556569C22semidirect
121. C2×#14556569C22semidirect
122. C2×#14556569C22semidirect
123. C2×#14556569C22semidirect
124. C2×#14556569C22semidirect
125. C2×#14556569C22semidirect
126. C2×#14556568C22semidirect
127. C2×#14556568C22semidirect
128. C2×#14556568C22semidirect
130. C2×#14556566C22semidirect
131. C2×#14556566C22semidirect
132. C2×#14556566C22semidirect
133. C2×#14556566C22semidirect
134. C2×#14556566C22semidirect
135. C2×#14556566C22semidirect
136. C2×#14556565C22semidirect
137. C2×#14556565C22semidirect
138. C2×#14556565C22semidirect
139. C2×#14556565C22semidirect
140. C2×#14556565C22semidirect
141. C2×#14556565C22semidirect
142. C2×#14556565C22semidirect
144. C2×#14556564C22semidirect
145. C2×#14556564C22semidirect
146. C2×#14556564C22semidirect
147. C2×#14556564C22semidirect
148. C2×#14556564C22semidirect
149. C2×#14556564C22semidirect
150. C2×#14556564C22semidirect
151. C2×#14556564C22semidirect
152. C2×#14556564C22semidirect
154. C2×#14556563C22semidirect
155. C2×#14556563C22semidirect
156. C2×#14556563C22semidirect
157. C2×#14556563C22semidirect
158. C2×#14556563C22semidirect
159. C2×#14556563C22semidirect
160. C2×#14556562C22semidirect
161. #121×D73C22semidirect
164. C2×#14556561C22semidirect
165. C2×#14556561C22semidirect
166. C2×#14556561C22semidirect
167. C2×#14556561C22semidirect
168. C2×#14556561C22semidirect
169. C2×#14556561C22semidirect
170. C2×#14556561C22semidirect
171. C2×#14556561C22semidirect
172. C2×#14556559C22semidirect
173. C2×#14556559C22semidirect
174. C2×#14556559C22semidirect
175. C2×#14556559C22semidirect
176. C2×#14556559C22semidirect
177. C2×#14556559C22semidirect
178. C2×C4×D292C22semidirect
179. C2×C4×D292C22semidirect
180. C2×C4×D292C22semidirect
181. C2×C4×D292C22semidirect
182. C2×#14556553C22semidirect
183. C2×#14556553C22semidirect
184. C2×C4×C22⋊D73C22semidirect
185. C2×C4×C22⋊D73C22semidirect
186. C2×C4×C22⋊D73C22semidirect
187. C2×C4×C22⋊D73C22semidirect
188. C2×#14556551C22semidirect
189. C2×#14556551C22semidirect
190. C2×#14556549C22semidirect
191. C2×#14556548C22semidirect
192. C22×#11924007C22semidirect
193. C2×C4⋊C4×D73C22semidirect
194. C22×#11924005C22semidirect
195. C22×#11924005C22semidirect
196. C22×#11924005C22semidirect
197. C22×#11924005C22semidirect
198. C22×#11924005C22semidirect
199. C2×C22⋊C4×D73C22semidirect
200. C2×C22⋊C4×D73C22semidirect
201. C2×C22⋊C4×D73C22semidirect
202. C2×C22⋊C4×D73C22semidirect
203. #553×C73C22semidirect
204. C2×#126×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#125×C73C22semidirect
207. C2×#123×C73C22semidirect
208. C2×#123×C73C22semidirect
209. C2×#121×C73C22semidirect
210. C2×#121×C73C22semidirect
211. C2×#121×C73C22semidirect
212. C2×#121×C73C22semidirect
213. C2×C4×D4×C73C22semidirect
214. C2×C4×D4×C73C22semidirect
215. C2×C4×D4×C73C22semidirect
216. C2×C4×D4×C73C22semidirect
217. C2×#117×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
226. C2×#11924028C23semidirect
229. C2×#11924027C23semidirect
230. C2×#11924027C23semidirect
252. C22×D292C23semidirect
275. C2×D4×D73C23semidirect
276. C2×D4×D73C23semidirect
277. C2×D4×D73C23semidirect
278. C2×D4×D73C23semidirect
279. C2×D4×D73C23semidirect
280. C2×D4×D73C23semidirect
299. C22×C4×D73C23semidirect
300. #14556588C23semidirect
301. #14556587C23semidirect
302. #14556586C23semidirect
303. #14556586C23semidirect
304. #14556586C23semidirect
305. #14556585C23semidirect
306. #14556585C23semidirect
307. #14556584C23semidirect
308. #14556583C23semidirect
309. #14556582C23semidirect
310. #14556581C23semidirect
311. #14556579C23semidirect
312. #14556579C23semidirect
313. #14556579C23semidirect
314. #14556577C23semidirect
315. #14556577C23semidirect
316. #14556577C23semidirect
317. #14556576C23semidirect
318. #14556576C23semidirect
319. #14556576C23semidirect
320. #14556576C23semidirect
321. #14556576C23semidirect
322. #14556576C23semidirect
323. #14556576C23semidirect
324. #14556576C23semidirect
325. #14556576C23semidirect
326. #14556576C23semidirect
327. #14556576C23semidirect
328. #14556576C23semidirect
329. #14556576C23semidirect
330. #14556576C23semidirect
331. #14556576C23semidirect
332. #14556576C23semidirect
333. #14556575C23semidirect
334. #14556575C23semidirect
335. #14556575C23semidirect
336. #14556574C23semidirect
337. #14556574C23semidirect
338. #14556573C23semidirect
339. #14556573C23semidirect
340. #14556573C23semidirect
341. #14556573C23semidirect
342. #14556572C23semidirect
343. #14556571C23semidirect
344. #14556571C23semidirect
345. #14556570C23semidirect
346. #14556569C23semidirect
347. #14556569C23semidirect
348. #14556569C23semidirect
349. #14556569C23semidirect
350. #14556569C23semidirect
351. #14556569C23semidirect
352. #14556568C23semidirect
353. #14556568C23semidirect
354. #14556568C23semidirect
356. #14556566C23semidirect
357. #14556566C23semidirect
358. #14556566C23semidirect
359. #14556566C23semidirect
360. #14556566C23semidirect
361. #14556566C23semidirect
362. #14556565C23semidirect
363. #14556565C23semidirect
364. #14556565C23semidirect
365. #14556565C23semidirect
366. #14556565C23semidirect
367. #14556565C23semidirect
368. #14556565C23semidirect
370. #14556564C23semidirect
371. #14556564C23semidirect
372. #14556564C23semidirect
373. #14556564C23semidirect
374. #14556564C23semidirect
375. #14556564C23semidirect
376. #14556564C23semidirect
377. #14556564C23semidirect
378. #14556564C23semidirect
380. #14556563C23semidirect
381. #14556563C23semidirect
382. #14556563C23semidirect
383. #14556563C23semidirect
384. #14556563C23semidirect
385. #14556563C23semidirect
386. #14556562C23semidirect
389. #14556561C23semidirect
390. #14556561C23semidirect
391. #14556561C23semidirect
392. #14556561C23semidirect
393. #14556561C23semidirect
394. #14556561C23semidirect
395. #14556561C23semidirect
396. #14556561C23semidirect
397. #14556559C23semidirect
398. #14556559C23semidirect
399. #14556559C23semidirect
400. #14556559C23semidirect
401. #14556559C23semidirect
402. #14556559C23semidirect
403. C4×D292C23semidirect
404. C4×D292C23semidirect
405. C4×D292C23semidirect
406. C4×D292C23semidirect
407. #14556553C23semidirect
408. #14556553C23semidirect
409. C4×C22⋊D73C23semidirect
410. C4×C22⋊D73C23semidirect
411. C4×C22⋊D73C23semidirect
412. C4×C22⋊D73C23semidirect
413. #14556551C23semidirect
414. #14556551C23semidirect
415. #14556549C23semidirect
416. #14556548C23semidirect
437. C2×#11924007C23semidirect
438. C4⋊C4×D73C23semidirect
479. C2×#11924005C23semidirect
480. C2×#11924005C23semidirect
481. C2×#11924005C23semidirect
482. C2×#11924005C23semidirect
483. C2×#11924005C23semidirect
484. C22⋊C4×D73C23semidirect
485. C22⋊C4×D73C23semidirect
486. C22⋊C4×D73C23semidirect
487. C22⋊C4×D73C23semidirect
503. #126×C73C23semidirect
504. #126×C73C23semidirect
505. #125×C73C23semidirect
506. #123×C73C23semidirect
507. #123×C73C23semidirect
508. #121×C73C23semidirect
509. #121×C73C23semidirect
510. #121×C73C23semidirect
511. #121×C73C23semidirect
512. C4×D4×C73C23semidirect
513. C4×D4×C73C23semidirect
514. C4×D4×C73C23semidirect
515. C4×D4×C73C23semidirect
516. #117×C73C23semidirect
527. C2×C4⋊C4×C73C23semidirect
1071. C2×C73#3534semidirect
1088. C2×#553D73semidirect
1114. C73C2×#3534semidirect
1132. #553C2×D73semidirect
1163. C2×#126C2×D73semidirect
1164. C2×#126C2×D73semidirect
1168. C2×#125C2×D73semidirect
1203. C2×#123C2×D73semidirect
1204. C2×#123C2×D73semidirect
1250. C2×#121C2×D73semidirect
1251. C2×#121C2×D73semidirect
1252. C2×#121C2×D73semidirect
1253. C2×#121C2×D73semidirect
1282. C2×C4×D4C2×D73semidirect
1283. C2×C4×D4C2×D73semidirect
1284. C2×C4×D4C2×D73semidirect
1285. C2×C4×D4C2×D73semidirect
1288. C2×#117C2×D73semidirect
1291. C22×C4⋊C4C2×D73semidirect
1402. #126C22×D73semidirect
1403. #126C22×D73semidirect
1407. #125C22×D73semidirect
1440. #123C22×D73semidirect
1441. #123C22×D73semidirect
1486. #121C22×D73semidirect
1487. #121C22×D73semidirect
1488. #121C22×D73semidirect
1489. #121C22×D73semidirect
1518. C4×D4C22×D73semidirect
1519. C4×D4C22×D73semidirect
1520. C4×D4C22×D73semidirect
1521. C4×D4C22×D73semidirect
1524. #117C22×D73semidirect
1557. C2×C4⋊C4C22×D73semidirect
2159. C2#22624108direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226241082
C2×#179893352
C2×#179893342
C2×#179893282
C2×#179893252
C2×#179892852
C2×#179892622
C2×#179892612
C2×#179892332
C2×#179892322
C2×#179892292
C2×#179892262
C2×D4×D2922
C2×#179892212
C2×#179891922
C2×#179891892
C2×#179891852
C2×#179891792
C2×#179891782
C2×#179891762
C2×#179891702
C2×#179891642
C2×#179891482
C2×#179891452
C2×#179890962
C22×#145565762
C2×#121×D732
C2×#553×C732
C2×#353473