Finite Group Databasebeta

← C2×#22624296 #33993619

Subgroups — C2×#22624296 #33993619

Order 18688.

8046 conjugacy classes of subgroups.

The subgroup lattice has 2156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624296C2132yesmaximal, direct product factor
2C2×#17989328C211yesmaximal, characteristic, complemented
3C2×#17989327C211yesmaximal, characteristic, complemented
4C2×#17989326C211yesmaximal, characteristic, complemented
5C2×#17989325C211yesmaximal, characteristic, complemented
6C2×#17989304C211yesmaximal, characteristic, complemented
7C2×#17989286C211yesmaximal, characteristic, complemented
8C2×#17989282C211yesmaximal, characteristic, complemented
9C2×#17989258C211yesmaximal, characteristic, complemented
10C2×#17989255C211yesmaximal, characteristic, complemented
11C2×#17989255C211yesmaximal, characteristic, complemented
12C2×#17989235C211yesmaximal, characteristic, complemented
13C2×#17989229C211yesmaximal, characteristic, complemented
14C2×#17989227C211yesmaximal, characteristic, complemented
15C2×#17989227C211yesmaximal, characteristic, complemented
16C2×#17989226C211yesmaximal, characteristic, complemented
17C2×#17989219C211yesmaximal, characteristic, complemented
18C2×#17989207C211yesmaximal, characteristic, complemented
19C2×#17989201C211yesmaximal, characteristic, complemented
20C2×#17989176C211yesmaximal, characteristic, complemented
21C2×#17989171C211yesmaximal, characteristic, complemented
22C2×#17989170C211yesmaximal, characteristic, complemented
23C2×#17989167C211yesmaximal, characteristic, complemented
24C2×#17989164C211yesmaximal, characteristic, complemented
25C2×#17989155C211yesmaximal, characteristic, complemented
26C2×#17989153C211yesmaximal, characteristic, complemented
27C2×#17989152C211yesmaximal, characteristic, complemented
28C2×#17989152C211yesmaximal, characteristic, complemented
29C2×#17989136C211yesmaximal, characteristic, complemented
30C2×#17989134C211yesmaximal, characteristic, complemented
31C2×#17989120C211yesmaximal, characteristic, complemented
32C2×#538×C73C211yesmaximal, characteristic, complemented
33C22×#11924029C2211yescharacteristic, complemented
34C22×#11924028C2211yescharacteristic, complemented
35C22×#11924028C2211yescharacteristic, complemented
36C22×#11924028C2211yescharacteristic, complemented
37C22×#11924028C2211yescharacteristic, complemented
38C22×#11924027C2211yescharacteristic, complemented
39C22×#11924027C2211yescharacteristic, complemented
40C22×#11924027C2211yescharacteristic, complemented
41C23×C22⋊D73C2211yescharacteristic
42C23×C22⋊D73C2211yescharacteristic
43C22×D4×D73C2211yescharacteristic
44C22×D4×D73C2211yescharacteristic
45#17989328C22116yescomplemented
46#17989327C22116yescomplemented
47#17989326C22116yescomplemented
48#17989325C22116yescomplemented
49#17989304C22116yescomplemented
50#17989286C22116yescomplemented
51#17989282C22116yescomplemented
52#17989258C22116yescomplemented
53#17989255C22116yescomplemented
54#17989255C22116yescomplemented
55#17989235C22116yescomplemented
56#17989229C22116yescomplemented
57#17989227C22116yescomplemented
58#17989227C22116yescomplemented
59#17989226C22116yescomplemented
60#17989219C22116yescomplemented
61#17989207C22116yescomplemented
62#17989201C22116yescomplemented
63#17989176C22116yescomplemented
64#17989171C22116yescomplemented
65#17989170C22116yescomplemented
66#17989167C22116yescomplemented
67#17989164C22116yescomplemented
68#17989155C22116yescomplemented
69#17989153C22116yescomplemented
70#17989152C22116yescomplemented
71#17989152C22116yescomplemented
72#17989136C22116yescomplemented
73#17989134C22116yescomplemented
74C2×#14556590C2211yescharacteristic, complemented
75C2×#14556589C2211yescharacteristic, complemented
76C2×#14556588C2211yescharacteristic, complemented
77C2×#14556587C2211yescharacteristic
78C2×#14556587C2211yescharacteristic
79C2×#14556587C2211yescharacteristic, complemented
80C2×#14556587C2211yescharacteristic, complemented
81C2×#14556587C2211yescharacteristic, complemented
82C2×#14556587C2211yescharacteristic, complemented
83C2×#14556587C2211yescharacteristic, complemented
84#17989120C22116yescomplemented
85C2×#14556586C2211yescharacteristic, complemented
86C2×#14556586C2211yescharacteristic, complemented
87C2×#14556586C2211yescharacteristic, complemented
88C2×#14556585C2211yescharacteristic, complemented
89C2×#14556585C2211yescharacteristic, complemented
90C2×#14556584C2211yescharacteristic, complemented
91C2×#14556584C2211yescharacteristic, complemented
92C2×#14556584C2211yescharacteristic, complemented
93C2×#14556581C2211yescharacteristic, complemented
94C2×#14556580C2211yescharacteristic, complemented
95C2×#14556579C2211yescharacteristic, complemented
96C2×#14556577C2211yescharacteristic
97C2×#14556577C2211yescharacteristic
98C2×#14556577C2211yescharacteristic
99C2×#14556577C2211yescharacteristic, complemented
100C2×#14556577C2211yescharacteristic, complemented
101C2×#14556577C2211yescharacteristic, complemented
102C2×#14556577C2211yescharacteristic, complemented
103C2×#14556576C2211yescharacteristic, complemented
104C2×#14556576C2211yescharacteristic, complemented
105C2×#14556576C2211yescharacteristic, complemented
106C2×#14556576C2211yescharacteristic, complemented
107C2×#14556575C2211yescharacteristic, complemented
108C2×#14556574C2211yescharacteristic, complemented
109C2×#14556574C2211yescharacteristic, complemented
110C2×#14556573C2211yescharacteristic, complemented
111C2×#14556573C2211yescharacteristic, complemented
112C2×#14556573C2211yescharacteristic, complemented
113C2×#14556573C2211yescharacteristic, complemented
114C2×#14556572C2211yescharacteristic, complemented
115C2×#14556569C2211yescharacteristic, complemented
116C2×#14556569C2211yescharacteristic, complemented
117C2×#14556569C2211yescharacteristic, complemented
118C2×#14556569C2211yescharacteristic, complemented
119C2×#14556568C2211yescharacteristic, complemented
120C2×#14556568C2211yescharacteristic, complemented
121C2×#14556568C2211yescharacteristic, complemented
122C2×#14556567C2211yescharacteristic, complemented
123C2×#14556566C2211yescharacteristic, complemented
124C2×#14556566C2211yescharacteristic, complemented
125C2×#14556566C2211yescharacteristic, complemented
126C2×#14556566C2211yescharacteristic, complemented
127C2×#14556566C2211yescharacteristic, complemented
128C2×#14556565C2211yescharacteristic, complemented
129C2×#14556565C2211yescharacteristic, complemented
130C2×#14556565C2211yescharacteristic, complemented
131C2×#14556565C2211yescharacteristic, complemented
132C2×#14556564C2211yescharacteristic
133C2×#14556564C2211yescharacteristic
134C2×#14556564C2211yescharacteristic
135C2×#14556564C2211yescharacteristic
136C2×#14556564C2211yescharacteristic
137C2×#14556564C2211yescharacteristic, complemented
138C2×#14556564C2211yescharacteristic, complemented
139C2×#14556564C2211yescharacteristic, complemented
140C2×#14556564C2211yescharacteristic, complemented
141C2×#14556564C2211yescharacteristic, complemented
142C2×#14556564C2211yescharacteristic, complemented
143C2×#14556564C2211yescharacteristic, complemented
144C2×#14556564C2211yescharacteristic, complemented
145C2×#14556564C2211yescharacteristic, complemented
146C2×#14556564C2211yescharacteristic, complemented
147C2×#14556564C2211yescharacteristic, complemented
148C2×#14556564C2211yescharacteristic, complemented
149C2×#14556564C2211yescharacteristic, complemented
150C2×#14556563C2211yescharacteristic
151C2×#14556563C2211yescharacteristic
152C2×#14556563C2211yescharacteristic
153C2×#14556563C2211yescharacteristic, complemented
154C2×#14556563C2211yescharacteristic, complemented
155C2×#14556563C2211yescharacteristic, complemented
156C2×#14556563C2211yescharacteristic, complemented
157C2×#14556563C2211yescharacteristic, complemented
158C2×#14556563C2211yescharacteristic, complemented
159C2×#14556562C2211yescharacteristic, complemented
160C2×#14556562C2211yescharacteristic, complemented
161C2×#14556561C2211yescharacteristic
162C2×#14556561C2211yescharacteristic
163C2×#14556561C2211yescharacteristic, complemented
164C2×#14556561C2211yescharacteristic, complemented
165C2×#14556561C2211yescharacteristic, complemented
166C2×#14556561C2211yescharacteristic, complemented
167C2×#14556561C2211yescharacteristic, complemented
168C2×#14556561C2211yescharacteristic, complemented
169C2×#14556560C2211yescharacteristic, complemented
170C2×#14556560C2211yescharacteristic, complemented
171C2×#14556559C2211yescharacteristic
172C2×#14556559C2211yescharacteristic, complemented
173C2×#14556559C2211yescharacteristic, complemented
174C2×#14556559C2211yescharacteristic, complemented
175C2×C4×Dic146C2211yescharacteristic, complemented
176C2×#14556556C2211yescharacteristic, complemented
177C2×#14556556C2211yescharacteristic, complemented
178C2×C4×D292C2211yescharacteristic, complemented
179C2×#14556553C2211yescharacteristic, complemented
180C2×#14556553C2211yescharacteristic, complemented
181C2×C4×C22⋊D73C2211yescharacteristic, complemented
182C2×C4×C22⋊D73C2211yescharacteristic, complemented
183C2×C4×C22⋊D73C2211yescharacteristic, complemented
184C2×C4×C22⋊D73C2211yescharacteristic, complemented
185C2×#14556551C2211yescharacteristic
186C2×#14556551C2211yescharacteristic
187C2×#14556551C2211yescharacteristic, complemented
188C2×#14556551C2211yescharacteristic, complemented
189C2×#14556551C2211yescharacteristic, complemented
190C2×#14556551C2211yescharacteristic, complemented
191C2×#14556551C2211yescharacteristic, complemented
192C2×#14556551C2211yescharacteristic, complemented
193C2×#14556549C2211yescharacteristic, complemented
194C2×#14556548C2211yescharacteristic, complemented
195C2×#14556547C2211yescharacteristic, complemented
196C2×#14556547C2211yescharacteristic, complemented
197C22×#11924007C2211yescharacteristic, complemented
198C2×C4⋊C4×D73C2211yescharacteristic, complemented
199C22×#11924005C2211yescharacteristic, complemented
200C2×C22⋊C4×D73C2211yescharacteristic, complemented
201C2×C22⋊C4×D73C2211yescharacteristic, complemented
202C2×C42×D73C2211yescharacteristic, complemented
203#538×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#124×C73C2211yescharacteristic, complemented
207C2×#124×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic, complemented
209C2×#123×C73C2211yescharacteristic, complemented
210C2×C22⋊Q8×C73C2211yescharacteristic, complemented
211C2×#121×C73C2211yescharacteristic, complemented
212C2×#121×C73C2211yescharacteristic, complemented
213C2×#121×C73C2211yescharacteristic, complemented
214C2×#120×C73C2211yescharacteristic
215C2×#120×C73C2211yescharacteristic, complemented
216C2×C4×D4×C73C2211yescharacteristic, complemented
217C2×C4×D4×C73C2211yescharacteristic, complemented
218C22×C22⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C24×D73C2311yescharacteristic
222C2×#11924029—44no—
223C2×#11924029C2318yescomplemented
224C2×#11924028—44no—
225C2×#11924028—44no—
226C2×#11924028—44no—
227C2×#11924028—44no—
228C2×#11924028C2318yescomplemented
229C2×#11924028C2318yescomplemented
230C2×#11924028C2318yescomplemented
231C2×#11924028C2318yescomplemented
232C2×#11924027—44no—
233C2×#11924027—44no—
234C2×#11924027—44no—
235C2×#11924027C2318yescomplemented
236C2×#11924027C2318yescomplemented
237C2×#11924027C2318yescomplemented
238C22×Dic146C2311yescharacteristic
239C22×Dic146C2311yescharacteristic
240C22×Dic146C2311yescharacteristic
241C22×Dic146C2311yescharacteristic
242C22×D292C2311yescharacteristic
243C22×D292C2311yescharacteristic
244C22×D292C2311yescharacteristic
245C22×D292C2311yescharacteristic
246C22×D292C2311yescharacteristic
247C22×D292C2311yescharacteristic
248C22×D292C2311yescharacteristic
249C22×D292C2311yescharacteristic
250C22×D292C2311yescharacteristic
251C22×D292C2311yescharacteristic
252C22×D292C2311yescharacteristic
253C22×D292C2311yescharacteristic
254C22×C22⋊D73—44no—
255C22×C22⋊D73—44no—
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
269C22×C22⋊D73C2311yescharacteristic
270C22×C22⋊D73C2311yescharacteristic
271C22×C22⋊D73C2311yescharacteristic
272C22×C22⋊D73C2311yescharacteristic
273C22×C22⋊D73C2311yescharacteristic
274C22×C22⋊D73C2311yescharacteristic
275C22×C22⋊D73C2311yescharacteristic
276C22×C22⋊D73C2311yescharacteristic
277C22×C22⋊D73C2318yes—
278C22×C22⋊D73C2318yes—
279C22×C22⋊D73C2311yescharacteristic
280C22×C22⋊D73C2311yescharacteristic
281C22×C22⋊D73C2311yescharacteristic
282C2×D4×D73—44no—
283C2×D4×D73—44no—
284C2×D4×D73C2318yes—
285C2×D4×D73C2318yes—
286C23×Dic73C2311yescharacteristic
287C23×Dic73C2311yescharacteristic
288C23×Dic73C2311yescharacteristic
289C23×Dic73C2311yescharacteristic
290C23×Dic73C2311yescharacteristic
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×D73C2311yescharacteristic
300C22×C4×D73C2311yescharacteristic
301C22×C4×D73C2311yescharacteristic
302C22×C4×D73C2311yescharacteristic
303#14556590C2318yescomplemented
304#14556589C2318yescomplemented
305#14556588C2318yescomplemented
306#14556587C2318yes—
307#14556587C2318yes—
308#14556587C2318yescomplemented
309#14556587C2318yescomplemented
310#14556587C2318yescomplemented
311#14556587C2318yescomplemented
312#14556587C2318yescomplemented
313#14556586C2318yescomplemented
314#14556586C2318yescomplemented
315#14556586C2318yescomplemented
316#14556585C2318yescomplemented
317#14556585C2318yescomplemented
318#14556584C2318yescomplemented
319#14556584C2318yescomplemented
320#14556584C2318yescomplemented
321#14556581C2318yescomplemented
322#14556580C2318yescomplemented
323#14556579C2318yescomplemented
324#14556577C2318yes—
325#14556577C2318yes—
326#14556577C2318yes—
327#14556577C2318yescomplemented
328#14556577C2318yescomplemented
329#14556577C2318yescomplemented
330#14556577C2318yescomplemented
331#14556576C2318yescomplemented
332#14556576C2318yescomplemented
333#14556576C2318yescomplemented
334#14556576C2318yescomplemented
335#14556575C2318yescomplemented
336#14556574C2318yescomplemented
337#14556574C2318yescomplemented
338#14556573C2318yescomplemented
339#14556573C2318yescomplemented
340#14556573C2318yescomplemented
341#14556573C2318yescomplemented
342#14556572C2318yescomplemented
343#14556569C2318yescomplemented
344#14556569C2318yescomplemented
345#14556569C2318yescomplemented
346#14556569C2318yescomplemented
347#14556568C2318yescomplemented
348#14556568C2318yescomplemented
349#14556568C2318yescomplemented
350#14556567C2318yescomplemented
351#14556566C2318yescomplemented
352#14556566C2318yescomplemented
353#14556566C2318yescomplemented
354#14556566C2318yescomplemented
355#14556566C2318yescomplemented
356#14556565C2318yescomplemented
357#14556565C2318yescomplemented
358#14556565C2318yescomplemented
359#14556565C2318yescomplemented
360#14556564C2318yes—
361#14556564C2318yes—
362#14556564C2318yes—
363#14556564C2318yes—
364#14556564C2318yes—
365#14556564C2318yescomplemented
366#14556564C2318yescomplemented
367#14556564C2318yescomplemented
368#14556564C2318yescomplemented
369#14556564C2318yescomplemented
370#14556564C2318yescomplemented
371#14556564C2318yescomplemented
372#14556564C2318yescomplemented
373#14556564C2318yescomplemented
374#14556564C2318yescomplemented
375#14556564C2318yescomplemented
376#14556564C2318yescomplemented
377#14556564C2318yescomplemented
378#14556563C2318yes—
379#14556563C2318yes—
380#14556563C2318yes—
381#14556563C2318yescomplemented
382#14556563C2318yescomplemented
383#14556563C2318yescomplemented
384#14556563C2318yescomplemented
385#14556563C2318yescomplemented
386#14556563C2318yescomplemented
387#14556562C2318yescomplemented
388#14556562C2318yescomplemented
389#14556561C2318yes—
390#14556561C2318yes—
391#14556561C2318yescomplemented
392#14556561C2318yescomplemented
393#14556561C2318yescomplemented
394#14556561C2318yescomplemented
395#14556561C2318yescomplemented
396#14556561C2318yescomplemented
397#14556560C2318yescomplemented
398#14556560C2318yescomplemented
399#14556559C2318yes—
400#14556559C2318yescomplemented
401#14556559C2318yescomplemented
402#14556559C2318yescomplemented
403C4×Dic146C2318yescomplemented
404#14556556C2318yescomplemented
405#14556556C2318yescomplemented
406C4×D292C2318yescomplemented
407#14556553C2318yescomplemented
408#14556553C2318yescomplemented
409C4×C22⋊D73C2318yescomplemented
410C4×C22⋊D73C2318yescomplemented
411C4×C22⋊D73C2318yescomplemented
412C4×C22⋊D73C2318yescomplemented
413#14556551C2318yes—
414#14556551C2318yes—
415#14556551C2318yescomplemented
416#14556551C2318yescomplemented
417#14556551C2318yescomplemented
418#14556551C2318yescomplemented
419#14556551C2318yescomplemented
420#14556551C2318yescomplemented
421#14556549C2318yescomplemented
422#14556548C2318yescomplemented
423#14556547C2318yescomplemented
424#14556547C2318yescomplemented
425C2×C4⋊Dic73C2311yescharacteristic
426C2×C4⋊Dic73C2311yescharacteristic
427C2×C4⋊Dic73C2311yescharacteristic
428C2×C4⋊Dic73C2311yescharacteristic
429C2×#11924007C2311yescharacteristic
430C2×#11924007C2311yescharacteristic
431C2×#11924007C2311yescharacteristic
432C2×#11924007C2311yescharacteristic
433C2×#11924007C2311yescharacteristic
434C2×#11924007C2311yescharacteristic
435C2×#11924007C2311yescharacteristic
436C2×#11924007C2311yescharacteristic
437C2×#11924007C2311yescharacteristic
438C2×#11924007C2311yescharacteristic
439C2×#11924007C2311yescharacteristic
440C2×#11924007C2311yescharacteristic
441C2×#11924007C2311yescharacteristic
442C2×#11924007C2311yescharacteristic
443C2×#11924007C2311yescharacteristic
444C2×#11924007C2311yescharacteristic
445C2×#11924007C2318yescomplemented
446C4⋊C4×D73C2318yescomplemented
447C2×C22⋊Dic73C2311yescharacteristic
448C2×C22⋊Dic73C2311yescharacteristic
449C2×C22⋊Dic73C2311yescharacteristic
450C2×C22⋊Dic73C2311yescharacteristic
451C2×C22⋊Dic73C2311yescharacteristic
452C2×C22⋊Dic73C2311yescharacteristic
453C2×C22⋊Dic73C2311yescharacteristic
454C2×C22⋊Dic73C2311yescharacteristic
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
480C22⋊C4×D73C2318yescomplemented
481C22⋊C4×D73C2318yescomplemented
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C2×C4×Dic73C2311yescharacteristic
485C2×C4×Dic73C2311yescharacteristic
486C2×C4×Dic73C2311yescharacteristic
487C2×C4×Dic73C2311yescharacteristic
488C2×C4×Dic73C2311yescharacteristic
489C2×C4×Dic73C2311yescharacteristic
490C42×D73C2318yescomplemented
491C25×C73C2311yescharacteristic
492C22×Q8×C73C2311yescharacteristic
493C22×D4×C73C2311yescharacteristic
494C22×D4×C73C2311yescharacteristic
495C22×D4×C73C2311yescharacteristic
496C22×D4×C73C2311yescharacteristic
497C22×D4×C73C2311yescharacteristic
498C22×D4×C73C2311yescharacteristic
499C22×D4×C73C2311yescharacteristic
500C23×C4×C73C2311yescharacteristic
501C23×C4×C73C2311yescharacteristic
502C23×C4×C73C2311yescharacteristic
503C23×C4×C73C2311yescharacteristic
504#126×C73C2318yescomplemented
505#126×C73C2318yescomplemented
506#124×C73C2318yescomplemented
507#124×C73C2318yescomplemented
508#123×C73C2318yescomplemented
509#123×C73C2318yescomplemented
510C22⋊Q8×C73C2318yescomplemented
511#121×C73C2318yescomplemented
512#121×C73C2318yescomplemented
513#121×C73C2318yescomplemented
514#120×C73C2318yes—
515#120×C73C2318yescomplemented
516C4×D4×C73C2318yescomplemented
517C4×D4×C73C2318yescomplemented
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×C22⋊C4×C73C2311yescharacteristic
525C2×C22⋊C4×C73C2311yescharacteristic
526C2×C22⋊C4×C73C2311yescharacteristic
527C2×C22⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73C2318yescomplemented
539C2×C42×C73C2311yescharacteristic
540C2×C42×C73C2311yescharacteristic
541C23×D73—42no—
542C23×D73—42no—
543C23×D73—42no—
544C23×D73—42no—
545C23×D73—42no—
546C23×D73—42no—
547C23×D73—42no—
548C23×D73—42no—
549C23×D73—42no—
550C23×D73C2411yescharacteristic
551C23×D73C2411yescharacteristic
552C23×D73C2411yescharacteristic
553C23×D73C2411yescharacteristic
554C23×D73C2411yescharacteristic
555C23×D73C2411yescharacteristic
556C23×D73C2414yes—
557C23×D73C2414yes—
558C23×D73C2414yes—
559#11924029—416no—
560#11924028—416no—
561#11924028—416no—
562#11924028—416no—
563#11924028—416no—
564#11924027—416no—
565#11924027—416no—
566#11924027—416no—
567C2×Dic146—24no—
568C2×Dic146—24no—
569C2×Dic146—24no—
570C2×Dic146—42no—
571C2×Dic146C2414yes—
572C2×Dic146C2414yes—
573C2×Dic146C2414yes—
574C2×Dic146C2414yes—
575C2×D292—42no—
576C2×D292—42no—
577C2×D292—42no—
578C2×D292—42no—
579C2×D292—42no—
580C2×D292—42no—
581C2×D292—42no—
582C2×D292—42no—
583C2×D292—42no—
584C2×D292—42no—
585C2×D292—42no—
586C2×D292—42no—
587C2×D292C2414yes—
588C2×D292C2414yes—
589C2×D292C2414yes—
590C2×D292C2414yes—
591C2×D292C2414yes—
592C2×D292C2414yes—
593C2×D292C2414yes—
594C2×D292C2414yes—
595C2×D292C2414yes—
596C2×D292C2414yes—
597C2×D292C2414yes—
598C2×D292C2414yes—
599C2×C22⋊D73—24no—
600C2×C22⋊D73—24no—
601C2×C22⋊D73—24no—
602C2×C22⋊D73—24no—
603C2×C22⋊D73—24no—
604C2×C22⋊D73—24no—
605C2×C22⋊D73—24no—
606C2×C22⋊D73—416no—
607C2×C22⋊D73—416no—
608C2×C22⋊D73—42no—
609C2×C22⋊D73—42no—
610C2×C22⋊D73—42no—
611C2×C22⋊D73—42no—
612C2×C22⋊D73—42no—
613C2×C22⋊D73—42no—
614C2×C22⋊D73—42no—
615C2×C22⋊D73—42no—
616C2×C22⋊D73—42no—
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⋊D73C2414yes—
626C2×C22⋊D73C2414yes—
627C2×C22⋊D73C2414yes—
628C2×C22⋊D73C2414yes—
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—
645C2×C22⋊D73C2414yes—
646C2×C22⋊D73C2414yes—
647C2×C22⋊D73C2414yes—
648C2×C22⋊D73C2414yes—
649D4×D73—416no—
650D4×D73—416no—
651C22×Dic73—24no—
652C22×Dic73—24no—
653C22×Dic73—24no—
654C22×Dic73—42no—
655C22×Dic73—42no—
656C22×Dic73C2411yescharacteristic
657C22×Dic73C2411yescharacteristic
658C22×Dic73C2411yescharacteristic
659C22×Dic73C2411yescharacteristic
660C22×Dic73C2411yescharacteristic
661C22×Dic73C2411yescharacteristic
662C22×Dic73C2411yescharacteristic
663C22×Dic73C2411yescharacteristic
664C22×Dic73C2414yes—
665C22×Dic73C2414yes—
666C22×Dic73C2414yes—
667C22×Dic73C2414yes—
668C22×Dic73C2414yes—
669C22×Dic73C2411yescharacteristic
670C22×Dic73C2411yescharacteristic
671C2×C4×D73—24no—
672C2×C4×D73—24no—
673C2×C4×D73—24no—
674C2×C4×D73—24no—
675C2×C4×D73—24no—
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×D73—42no—
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—
699#11924007C2414yes—
700#11924007C2414yes—
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—
721C22⋊Dic73C2414yes—
722C22⋊Dic73C2414yes—
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—
747C4×Dic73C2414yes—
748C4×Dic73C2414yes—
749C4×Dic73C2414yes—
750C4×Dic73C2414yes—
751C4×Dic73C2414yes—
752C4×Dic73C2414yes—
753C4×Dic73C2414yes—
754C4×Dic73C2414yes—
755C24×C73—42no—
756C24×C73—42no—
757C24×C73—42no—
758C24×C73C2411yescharacteristic
759C24×C73C2411yescharacteristic
760C24×C73C2411yescharacteristic
761C24×C73C2411yescharacteristic
762C24×C73C2411yescharacteristic
763C24×C73C2414yes—
764C2×Q8×C73—42no—
765C2×Q8×C73C2414yes—
766C2×D4×C73—42no—
767C2×D4×C73—42no—
768C2×D4×C73—42no—
769C2×D4×C73—42no—
770C2×D4×C73—42no—
771C2×D4×C73—42no—
772C2×D4×C73—42no—
773C2×D4×C73C2414yes—
774C2×D4×C73C2414yes—
775C2×D4×C73C2414yes—
776C2×D4×C73C2414yes—
777C2×D4×C73C2414yes—
778C2×D4×C73C2414yes—
779C2×D4×C73C2414yes—
780C22×C4×C73—42no—
781C22×C4×C73—42no—
782C22×C4×C73—42no—
783C22×C4×C73—42no—
784C22×C4×C73C2411yescharacteristic
785C22×C4×C73C2411yescharacteristic
786C22×C4×C73C2411yescharacteristic
787C22×C4×C73C2411yescharacteristic
788C22×C4×C73C2411yescharacteristic
789C22×C4×C73C2411yescharacteristic
790C22×C4×C73C2411yescharacteristic
791C22×C4×C73C2411yescharacteristic
792C22×C4×C73C2411yescharacteristic
793C22×C4×C73C2411yescharacteristic
794C22×C4×C73C2414yes—
795C22×C4×C73C2414yes—
796C22×C4×C73C2414yes—
797C22×C4×C73C2414yes—
798C4⋊C4×C73C2414yes—
799C4⋊C4×C73C2414yes—
800C4⋊C4×C73C2414yes—
801C4⋊C4×C73C2414yes—
802C4⋊C4×C73C2414yes—
803C4⋊C4×C73C2414yes—
804C22⋊C4×C73C2414yes—
805C22⋊C4×C73C2414yes—
806C22⋊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—
817C22⋊C4×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×C73—22no—
832C23×C73—22no—
833C23×C73—22no—
834C23×C73—22no—
835C23×C73—44no—
836C23×C73—44no—
837C23×C73—44no—
838C23×C73—88no—
839C23×C73C2512yes—
840C23×C73C2512yes—
841C23×C73C2512yes—
842C23×C73C2512yes—
843C23×C73C2512yes—
844C23×C73C2511yescharacteristic
845C22×D73—22no—
846C22×D73—22no—
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—22no—
859C22×D73—22no—
860C22×D73—22no—
861C22×D73—22no—
862C22×D73—22no—
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—88no—
873C22×D73—88no—
874C22×D73—88no—
875C22×D73C2512yes—
876C22×D73C2512yes—
877C22×D73C2512yes—
878C22×D73C2512yes—
879C22×D73C2512yes—
880C22×D73C2512yes—
881Q8×C73—44no—
882D4×C73—44no—
883D4×C73—44no—
884D4×C73—44no—
885D4×C73—44no—
886D4×C73—44no—
887D4×C73—44no—
888D4×C73—44no—
889C2×C4×C73—22no—
890C2×C4×C73—22no—
891C2×C4×C73—22no—
892C2×C4×C73—22no—
893C2×C4×C73—22no—
894C2×C4×C73—22no—
895C2×C4×C73—22no—
896C2×C4×C73—22no—
897C2×C4×C73—22no—
898C2×C4×C73—22no—
899C2×C4×C73—44no—
900C2×C4×C73—44no—
901C2×C4×C73—44no—
902C2×C4×C73—44no—
903C2×C4×C73C2512yes—
904C2×C4×C73C2512yes—
905C2×C4×C73C2512yes—
906C2×C4×C73C2512yes—
907C2×C4×C73C2512yes—
908C2×C4×C73C2512yes—
909C2×C4×C73C2512yes—
910C2×C4×C73C2512yes—
911C2×C4×C73C2512yes—
912C2×C4×C73C2512yes—
913C22⋊D73—28no—
914C22⋊D73—28no—
915C22⋊D73—28no—
916C22⋊D73—28no—
917C22⋊D73—28no—
918C22⋊D73—28no—
919C22⋊D73—28no—
920C22⋊D73—44no—
921C22⋊D73—44no—
922C22⋊D73—44no—
923C22⋊D73—44no—
924C22⋊D73—44no—
925C22⋊D73—44no—
926C22⋊D73—44no—
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—
937C2×Dic73—22no—
938C2×Dic73—22no—
939C2×Dic73—22no—
940C2×Dic73—22no—
941C2×Dic73—22no—
942C2×Dic73—22no—
943C2×Dic73—22no—
944C2×Dic73—22no—
945C2×Dic73—28no—
946C2×Dic73—28no—
947C2×Dic73—28no—
948C2×Dic73—44no—
949C2×Dic73—44no—
950C2×Dic73H(5,𝔽2)14yes—
951C2×Dic73H(5,𝔽2)14yes—
952C2×Dic73C2512yes—
953C2×Dic73C2512yes—
954C2×Dic73C2512yes—
955C2×Dic73C2512yes—
956C2×Dic73C2512yes—
957C2×Dic73C2512yes—
958C2×Dic73C2512yes—
959C2×Dic73C2512yes—
960C2×Dic73C2512yes—
961C2×Dic73C2512yes—
962D292—44no—
963D292—44no—
964D292—44no—
965D292—44no—
966D292—44no—
967D292—44no—
968D292—44no—
969D292—44no—
970D292—44no—
971D292—44no—
972D292—44no—
973D292—44no—
974C4×D73—28no—
975C4×D73—28no—
976C4×D73—28no—
977C4×D73—28no—
978C4×D73—28no—
979C4×D73—44no—
980C4×D73—44no—
981C4×D73—44no—
982C4×D73—44no—
983C4×D73—44no—
984C4×D73—44no—
985C4×D73—44no—
986Dic146—28no—
987Dic146—28no—
988Dic146—28no—
989Dic146—44no—
990C22×C73—22no—
991C22×C73—22no—
992C22×C73—22no—
993C22×C73—22no—
994C22×C73—22no—
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—22no—
1005C22×C73—44no—
1006C22×C73—44no—
1007C22×C73—44no—
1008C22×C73—44no—
1009C22×C73—44no—
1010C22×C73—88no—
1011C22×C73C2×H(5,𝔽2)12yes—
1012C22×C73C2×H(5,𝔽2)12yes—
1013C22×C73#58512yes—
1014C22×C73C2611yescharacteristic
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—44no—
1034C2×D73—44no—
1035C2×D73—44no—
1036C2×D73—44no—
1037C2×D73—44no—
1038C2×D73—44no—
1039C2×D73—88no—
1040C2×D73—88no—
1041C2×D73—88no—
1042C4×C73—22no—
1043C4×C73—22no—
1044C4×C73—22no—
1045C4×C73—22no—
1046C4×C73—22no—
1047C4×C73—22no—
1048C4×C73—22no—
1049C4×C73—22no—
1050C4×C73—22no—
1051C4×C73—22no—
1052Dic73—22no—
1053Dic73—22no—
1054Dic73—22no—
1055Dic73—22no—
1056Dic73—22no—
1057Dic73—22no—
1058Dic73—22no—
1059Dic73—22no—
1060Dic73C2×H(5,𝔽2)14yes—
1061Dic73C2×H(5,𝔽2)14yes—
1062C2×#3546—731nomaximal, Sylow
1063C2×C73—42no—
1064C2×C73—42no—
1065C2×C73—42no—
1066C2×C73—42no—
1067C2×C73—42no—
1068C2×C73#354614yescomplemented
1069C2×C73C22×H(5,𝔽2)11yescharacteristic
1070C2×C73C22×H(5,𝔽2)11yescharacteristic
1071C2×C73C2×#58511yescharacteristic
1072D73—42no—
1073D73—42no—
1074D73—42no—
1075D73—42no—
1076D73—42no—
1077D73—42no—
1078#3546—7332no—
1079C2×#560—731no—
1080C2×#560—731no—
1081C2×#560—731no—
1082C2×#560—731no—
1083C2×#556—731no—
1084C2×#553—731no—
1085C2×#553—731no—
1086C2×#550—731no—
1087C2×#550—731no—
1088C2×#550—731no—
1089C2×#547—731no—
1090C2×#546—731no—
1091C2×#546—731no—
1092C2×#546—731no—
1093C2×#546—731no—
1094C2×D42—731no—
1095C2×#542—731no—
1096C2×#542—731no—
1097C2×#538—731no—
1098C2×#538—731no—
1099C2×#538—731no—
1100C2×#538D7311yescharacteristic, complemented
1101C2×#537—731no—
1102C2×#537—731no—
1103C2×#535—731no—
1104C2×#535—731no—
1105C2×#535—731no—
1106C2×#535—731no—
1107C2×#532—731no—
1108C2×#532—731no—
1109C2×#529—731no—
1110C73C2×#354611yescharacteristic, complemented, Sylow
1111C22×#41—731no—
1112C22×#41—731no—
1113C22×#41—731no—
1114C22×#41—731no—
1115C22×#41—731no—
1116C22×#41—731no—
1117C22×#41—731no—
1118C22×#41—731no—
1119C23×D4—731no—
1120C23×D4—731no—
1121C23×D4—731no—
1122C23×D4—731no—
1123#560—7316no—
1124#560—7316no—
1125#560—7316no—
1126#560—7316no—
1127#556—7316no—
1128#553—7316no—
1129#553—7316no—
1130#550—7316no—
1131#550—7316no—
1132#550—7316no—
1133#547—7316no—
1134#546—7316no—
1135#546—7316no—
1136#546—7316no—
1137#546—7316no—
1138D42—7316no—
1139#542—7316no—
1140#542—7316no—
1141#538—7316no—
1142#538—7316no—
1143#538—7316no—
1144#538C2×D73116yescomplemented
1145#537—7316no—
1146#537—7316no—
1147#535—7316no—
1148#535—7316no—
1149#535—7316no—
1150#535—7316no—
1151#532—7316no—
1152#532—7316no—
1153C2×C4⋊Q8—731no—
1154C2×C4⋊Q8—731no—
1155C2×#127—731no—
1156C2×#127—731no—
1157C2×#127—731no—
1158C2×#127—731no—
1159C2×#127—731no—
1160C2×#127—731no—
1161C2×#127—731no—
1162C2×#127—731no—
1163#529—7316no—
1164C2×#126—731no—
1165C2×#126—731no—
1166C2×#126—731no—
1167C2×#126—731no—
1168C2×#126—731no—
1169C2×#126—731no—
1170C2×#126—731no—
1171C2×#126—731no—
1172C2×#126C2×D7311yescharacteristic, complemented
1173C2×#126C2×D7311yescharacteristic, complemented
1174C2×#125—731no—
1175C2×#124—731no—
1176C2×#124—731no—
1177C2×#124—731no—
1178C2×#124—731no—
1179C2×#124—731no—
1180C2×#124—731no—
1181C2×#124—731no—
1182C2×#124—731no—
1183C2×#124—731no—
1184C2×#124C2×D7311yescharacteristic, complemented
1185C2×#124C2×D7311yescharacteristic, complemented
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—731no—
1196C2×#123—731no—
1197C2×#123—731no—
1198C2×#123C2×D7311yescharacteristic, complemented
1199C2×#123C2×D7311yescharacteristic, complemented
1200C2×C22⋊Q8—731no—
1201C2×C22⋊Q8—731no—
1202C2×C22⋊Q8—731no—
1203C2×C22⋊Q8—731no—
1204C2×C22⋊Q8—731no—
1205C2×C22⋊Q8—731no—
1206C2×C22⋊Q8—731no—
1207C2×C22⋊Q8—731no—
1208C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1209C2×#121—731no—
1210C2×#121—731no—
1211C2×#121—731no—
1212C2×#121—731no—
1213C2×#121—731no—
1214C2×#121—731no—
1215C2×#121—731no—
1216C2×#121—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—731no—
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×#121C2×D7311yescharacteristic, complemented
1248C2×#121C2×D7311yescharacteristic, complemented
1249C2×#121C2×D7311yescharacteristic, complemented
1250C2×#120—731no—
1251C2×#120—731no—
1252C2×#120—731no—
1253C2×#120—731no—
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×#120C2×D7311yescharacteristic
1265C2×#120C2×D7311yescharacteristic, complemented
1266C2×C4×Q8—731no—
1267C2×C4×Q8—731no—
1268C2×C4×Q8—731no—
1269C2×C4×D4—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×D4—731no—
1283C2×C4×D4—731no—
1284C2×C4×D4C2×D7311yescharacteristic, complemented
1285C2×C4×D4C2×D7311yescharacteristic, complemented
1286C2×#117—731no—
1287C2×#117—731no—
1288C2×#117—731no—
1289C2×#117—731no—
1290C22×C4⋊C4—731no—
1291C22×C4⋊C4—731no—
1292C22×C22⋊C4—731no—
1293C22×C22⋊C4—731no—
1294C22×C22⋊C4—731no—
1295C22×C22⋊C4C2×D7311yescharacteristic, complemented
1296C22×C42—731no—
1297C25—731no—
1298C25—731no—
1299C25—731no—
1300C25C22×D7311yescharacteristic
1301C2×#41—2924no—
1302C2×#41—2924no—
1303C2×#41—2924no—
1304C2×#41—2924no—
1305C2×#41—2924no—
1306C2×#41—2924no—
1307C2×#41—2924no—
1308C2×#41—2924no—
1309C2×#41—738no—
1310C2×#41—738no—
1311C2×#41—738no—
1312C2×#41—738no—
1313C2×#41—738no—
1314C2×#41—738no—
1315C2×#41—738no—
1316C2×#41—738no—
1317C22×Q8—731no—
1318C22×Q8—731no—
1319C22×Q8—731no—
1320C22×Q8—731no—
1321C22×Q8C22×D7311yescharacteristic
1322C22×D4—2924no—
1323C22×D4—2924no—
1324C22×D4—2924no—
1325C22×D4—2924no—
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—731no—
1337C22×D4—731no—
1338C22×D4—731no—
1339C22×D4—731no—
1340C22×D4—731no—
1341C22×D4—731no—
1342C22×D4—731no—
1343C22×D4—738no—
1344C22×D4—738no—
1345C22×D4—738no—
1346C22×D4—738no—
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—731no—
1359C22×D4—731no—
1360C22×D4—731no—
1361C22×D4—731no—
1362C22×D4—731no—
1363C22×D4—731no—
1364C22×D4—731no—
1365C22×D4—731no—
1366C22×D4C22×D7311yescharacteristic
1367C22×D4C22×D7311yescharacteristic
1368C22×D4C22×D7311yescharacteristic
1369C22×D4C22×D7311yescharacteristic
1370C22×D4C22×D7311yescharacteristic
1371C22×D4C22×D7311yescharacteristic
1372C22×D4C22×D7311yescharacteristic
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—731no—
1385C23×C4—731no—
1386C23×C4—731no—
1387C23×C4—731no—
1388C23×C4—731no—
1389C23×C4—731no—
1390C23×C4C22×D7311yescharacteristic
1391C23×C4C22×D7311yescharacteristic
1392C23×C4C22×D7311yescharacteristic
1393C23×C4C22×D7311yescharacteristic
1394C4⋊Q8—738no—
1395C4⋊Q8—738no—
1396#127—738no—
1397#127—738no—
1398#127—738no—
1399#127—738no—
1400#127—738no—
1401#127—738no—
1402#127—738no—
1403#127—738no—
1404#126—738no—
1405#126—738no—
1406#126—738no—
1407#126—738no—
1408#126—738no—
1409#126—738no—
1410#126—738no—
1411#126—738no—
1412#126C22×D7318yescomplemented
1413#126C22×D7318yescomplemented
1414#125—738no—
1415#124—738no—
1416#124—738no—
1417#124—738no—
1418#124—738no—
1419#124—738no—
1420#124—738no—
1421#124—738no—
1422#124—738no—
1423#124—738no—
1424#124C22×D7318yescomplemented
1425#124C22×D7318yescomplemented
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#123C22×D7318yescomplemented
1439#123C22×D7318yescomplemented
1440C22⋊Q8—738no—
1441C22⋊Q8—738no—
1442C22⋊Q8—738no—
1443C22⋊Q8—738no—
1444C22⋊Q8—738no—
1445C22⋊Q8—738no—
1446C22⋊Q8—738no—
1447C22⋊Q8—738no—
1448C22⋊Q8C22×D7318yescomplemented
1449#121—738no—
1450#121—738no—
1451#121—738no—
1452#121—738no—
1453#121—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#121—738no—
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#120C22×D7318yes—
1505#120C22×D7318yescomplemented
1506C4×Q8—738no—
1507C4×Q8—738no—
1508C4×Q8—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×D4—738no—
1519C4×D4—738no—
1520C4×D4—738no—
1521C4×D4—738no—
1522C4×D4—738no—
1523C4×D4—738no—
1524C4×D4C22×D7318yescomplemented
1525C4×D4C22×D7318yescomplemented
1526#117—738no—
1527#117—738no—
1528#117—738no—
1529#117—738no—
1530C2×C4⋊C4—731no—
1531C2×C4⋊C4—731no—
1532C2×C4⋊C4—731no—
1533C2×C4⋊C4—731no—
1534C2×C4⋊C4—731no—
1535C2×C4⋊C4—731no—
1536C2×C4⋊C4—738no—
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—731no—
1547C2×C4⋊C4—731no—
1548C2×C4⋊C4—731no—
1549C2×C4⋊C4—731no—
1550C2×C4⋊C4—731no—
1551C2×C4⋊C4—738no—
1552C2×C4⋊C4C22×D7311yescharacteristic
1553C2×C4⋊C4C22×D7311yescharacteristic
1554C2×C4⋊C4C22×D7311yescharacteristic
1555C2×C4⋊C4C22×D7311yescharacteristic
1556C2×C4⋊C4C22×D7311yescharacteristic
1557C2×C4⋊C4C22×D7311yescharacteristic
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—738no—
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—731no—
1588C2×C22⋊C4—731no—
1589C2×C22⋊C4—731no—
1590C2×C22⋊C4—731no—
1591C2×C22⋊C4—738no—
1592C2×C22⋊C4—738no—
1593C2×C22⋊C4C22×D7311yescharacteristic
1594C2×C22⋊C4C22×D7311yescharacteristic
1595C2×C22⋊C4C22×D7311yescharacteristic
1596C2×C22⋊C4C22×D7311yescharacteristic
1597C2×C22⋊C4C22×D7311yescharacteristic
1598C2×C22⋊C4C22×D7311yescharacteristic
1599C2×C22⋊C4C22×D7311yescharacteristic
1600C2×C22⋊C4C22×D7311yescharacteristic
1601C2×C22⋊C4C22×D7311yescharacteristic
1602C2×C22⋊C4C22×D7311yescharacteristic
1603C2×C22⋊C4C22×D7311yescharacteristic
1604C2×C22⋊C4C22×D7311yescharacteristic
1605C2×C22⋊C4C22×D7311yescharacteristic
1606C2×C22⋊C4C22×D7311yescharacteristic
1607C2×C22⋊C4C22×D7318yescomplemented
1608C2×C42—731no—
1609C2×C42—731no—
1610C2×C42—731no—
1611C2×C42—731no—
1612C2×C42—731no—
1613C2×C42—731no—
1614C2×C42—731no—
1615C2×C42—731no—
1616C2×C42—738no—
1617C2×C42C22×D7311yescharacteristic
1618C2×C42C22×D7311yescharacteristic
1619C24—42no—
1620C24—42no—
1621C24—42no—
1622C24—2922no—
1623C24—2922no—
1624C24—2922no—
1625C24—2922no—
1626C24—2922no—
1627C24—2922no—
1628C24—2922no—
1629C24—2922no—
1630C24—2922no—
1631C24—734no—
1632C24—734no—
1633C24—734no—
1634C24—731no—
1635C24—731no—
1636C24—731no—
1637C24—731no—
1638C24—731no—
1639C24—731no—
1640C24C23×D7311yescharacteristic
1641C24C23×D7311yescharacteristic
1642C24C23×D7311yescharacteristic
1643C24C23×D7311yescharacteristic
1644C24C23×D7311yescharacteristic
1645C24C23×D7314yes—
1646#41—29216no—
1647#41—29216no—
1648#41—29216no—
1649#41—29216no—
1650#41—29216no—
1651#41—29216no—
1652#41—29216no—
1653#41—29216no—
1654C2×Q8—42no—
1655C2×Q8—2922no—
1656C2×Q8—734no—
1657C2×Q8—734no—
1658C2×Q8—734no—
1659C2×Q8—734no—
1660C2×Q8—1464no—
1661C2×Q8—1464no—
1662C2×Q8—1464no—
1663C2×Q8C23×D7314yes—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—2922no—
1672C2×D4—2922no—
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—29216no—
1684C2×D4—29216no—
1685C2×D4—2922no—
1686C2×D4—2922no—
1687C2×D4—2922no—
1688C2×D4—2922no—
1689C2×D4—2922no—
1690C2×D4—2922no—
1691C2×D4—2922no—
1692C2×D4—2922no—
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—29216no—
1703C2×D4—29216no—
1704C2×D4—734no—
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—734no—
1737C2×D4—734no—
1738C2×D4—734no—
1739C2×D4—734no—
1740C2×D4—1464no—
1741C2×D4—1464no—
1742C2×D4—1464no—
1743C2×D4—1464no—
1744C2×D4—1464no—
1745C2×D4—1464no—
1746C2×D4—1464no—
1747C2×D4C23×D7314yes—
1748C2×D4C23×D7314yes—
1749C2×D4C23×D7314yes—
1750C2×D4C23×D7314yes—
1751C2×D4C23×D7314yes—
1752C2×D4C23×D7314yes—
1753C2×D4C23×D7314yes—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
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—2922no—
1767C22×C4—734no—
1768C22×C4—734no—
1769C22×C4—734no—
1770C22×C4—734no—
1771C22×C4—734no—
1772C22×C4—734no—
1773C22×C4—734no—
1774C22×C4—734no—
1775C22×C4—734no—
1776C22×C4—731no—
1777C22×C4—731no—
1778C22×C4—734no—
1779C22×C4—734no—
1780C22×C4—734no—
1781C22×C4—731no—
1782C22×C4—731no—
1783C22×C4—731no—
1784C22×C4—731no—
1785C22×C4—731no—
1786C22×C4—731no—
1787C22×C4—731no—
1788C22×C4—731no—
1789C22×C4—734no—
1790C22×C4—734no—
1791C22×C4—734no—
1792C22×C4—734no—
1793C22×C4—734no—
1794C22×C4—1464no—
1795C22×C4—1464no—
1796C22×C4—1464no—
1797C22×C4—1464no—
1798C22×C4—1464no—
1799C22×C4—1464no—
1800C22×C4—1464no—
1801C22×C4—1464no—
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×D7311yescharacteristic
1811C22×C4C23×D7311yescharacteristic
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—
1842C22⋊C4—734no—
1843C22⋊C4—734no—
1844C22⋊C4—734no—
1845C22⋊C4—734no—
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⋊C4C23×D7314yes—
1875C22⋊C4C23×D7314yes—
1876C22⋊C4C23×D7314yes—
1877C22⋊C4C23×D7314yes—
1878C22⋊C4C23×D7314yes—
1879C22⋊C4C23×D7314yes—
1880C22⋊C4C23×D7314yes—
1881C22⋊C4C23×D7314yes—
1882C22⋊C4C23×D7314yes—
1883C22⋊C4C23×D7314yes—
1884C22⋊C4C23×D7314yes—
1885C22⋊C4C23×D7314yes—
1886C22⋊C4C23×D7314yes—
1887C22⋊C4C23×D7314yes—
1888C42—734no—
1889C42—734no—
1890C42—734no—
1891C42—734no—
1892C42—734no—
1893C42—734no—
1894C42—734no—
1895C42—734no—
1896C42C23×D7314yes—
1897C42C23×D7314yes—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—44no—
1914C23—44no—
1915C23—44no—
1916C23—88no—
1917C23—2924no—
1918C23—2924no—
1919C23—2924no—
1920C23—2924no—
1921C23—2924no—
1922C23—2924no—
1923C23—2924no—
1924C23—2924no—
1925C23—2924no—
1926C23—5848no—
1927C23—5848no—
1928C23—5848no—
1929C23—732no—
1930C23—732no—
1931C23—732no—
1932C23—732no—
1933C23—732no—
1934C23—732no—
1935C23—1462no—
1936C23—1462no—
1937C23—1462no—
1938C23—1462no—
1939C23—1462no—
1940C23—1462no—
1941C23—1462no—
1942C23—1462no—
1943C23—1462no—
1944C23—1462no—
1945C23—1462no—
1946C23—1462no—
1947C23—1462no—
1948C23—1462no—
1949C23—1462no—
1950C23—1462no—
1951C23—1462no—
1952C23—1462no—
1953C23C24×D7312yes—
1954C23C24×D7312yes—
1955C23C24×D7312yes—
1956C23C24×D7312yes—
1957C23C24×D7312yes—
1958C23C24×D7311yescharacteristic
1959Q8—44no—
1960Q8—2924no—
1961Q8—1468no—
1962Q8—1468no—
1963Q8—1468no—
1964D4—44no—
1965D4—44no—
1966D4—44no—
1967D4—44no—
1968D4—44no—
1969D4—44no—
1970D4—44no—
1971D4—2924no—
1972D4—2924no—
1973D4—2924no—
1974D4—2924no—
1975D4—2924no—
1976D4—2924no—
1977D4—2924no—
1978D4—2924no—
1979D4—2924no—
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—1468no—
2001D4—1468no—
2002D4—1468no—
2003D4—1468no—
2004D4—1468no—
2005D4—1468no—
2006D4—1468no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—44no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—2924no—
2022C2×C4—2924no—
2023C2×C4—2924no—
2024C2×C4—2924no—
2025C2×C4—2924no—
2026C2×C4—2924no—
2027C2×C4—2924no—
2028C2×C4—2924no—
2029C2×C4—2924no—
2030C2×C4—734no—
2031C2×C4—734no—
2032C2×C4—732no—
2033C2×C4—732no—
2034C2×C4—732no—
2035C2×C4—732no—
2036C2×C4—732no—
2037C2×C4—732no—
2038C2×C4—732no—
2039C2×C4—732no—
2040C2×C4—732no—
2041C2×C4—732no—
2042C2×C4—1468no—
2043C2×C4—1468no—
2044C2×C4—1468no—
2045C2×C4—1468no—
2046C2×C4—1468no—
2047C2×C4—1468no—
2048C2×C4—1468no—
2049C2×C4—1468no—
2050C2×C4—1462no—
2051C2×C4—1462no—
2052C2×C4—1462no—
2053C2×C4—1462no—
2054C2×C4—1462no—
2055C2×C4—1462no—
2056C2×C4—1462no—
2057C2×C4—1462no—
2058C2×C4C24×D7312yes—
2059C2×C4C24×D7312yes—
2060C2×C4C24×D7312yes—
2061C2×C4C24×D7312yes—
2062C2×C4C24×D7312yes—
2063C2×C4C24×D7312yes—
2064C2×C4C24×D7312yes—
2065C2×C4C24×D7312yes—
2066C2×C4C24×D7312yes—
2067C2×C4C24×D7312yes—
2068C22—22no—
2069C22—22no—
2070C22—22no—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—44no—
2084C22—44no—
2085C22—44no—
2086C22—44no—
2087C22—44no—
2088C22—88no—
2089C22—2924no—
2090C22—2924no—
2091C22—2924no—
2092C22—2924no—
2093C22—2924no—
2094C22—2924no—
2095C22—5848no—
2096C22—5848no—
2097C22—5848no—
2098C22—1462no—
2099C22—1462no—
2100C22—1462no—
2101C22—1462no—
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—
2116C22H(5,𝔽2)×D7312yes—
2117C22H(5,𝔽2)×D7312yes—
2118C22#1798942312yes—
2119C22C25×D7311yescharacteristic
2120C4—22no—
2121C4—22no—
2122C4—22no—
2123C4—22no—
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—734no—
2131C4—734no—
2132C4—1462no—
2133C4—1462no—
2134C4—1462no—
2135C4—1462no—
2136C4—1462no—
2137C4—1462no—
2138C4—1462no—
2139C4—1462no—
2140C2—42no—
2141C2—42no—
2142C2—42no—
2143C2—42no—
2144C2—42no—
2145C2—2922no—
2146C2—2922no—
2147C2—2922no—
2148C2—2922no—
2149C2—2922no—
2150C2—2922no—
2151C2#2262429614yesdirect product factor
2152C2C2×H(5,𝔽2)×D7311yescharacteristic
2153C2C2×H(5,𝔽2)×D7311yescharacteristic
2154C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#538×C73C2
socleC23×C73C25
hypercenterC2×#538D73
hypocenterC73C2×#3546
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #22624296C2direct (N × H)
2. C2×#17989328C2semidirect
3. C2×#17989327C2semidirect
4. C2×#17989326C2semidirect
5. C2×#17989325C2semidirect
6. C2×#17989304C2semidirect
7. C2×#17989286C2semidirect
8. C2×#17989282C2semidirect
9. C2×#17989258C2semidirect
10. C2×#17989255C2semidirect
11. C2×#17989255C2semidirect
12. C2×#17989235C2semidirect
13. C2×#17989229C2semidirect
14. C2×#17989227C2semidirect
15. C2×#17989227C2semidirect
16. C2×#17989226C2semidirect
17. C2×#17989219C2semidirect
18. C2×#17989207C2semidirect
19. C2×#17989201C2semidirect
20. C2×#17989176C2semidirect
21. C2×#17989171C2semidirect
22. C2×#17989170C2semidirect
23. C2×#17989167C2semidirect
24. C2×#17989164C2semidirect
25. C2×#17989155C2semidirect
26. C2×#17989153C2semidirect
27. C2×#17989152C2semidirect
28. C2×#17989152C2semidirect
29. C2×#17989136C2semidirect
30. C2×#17989134C2semidirect
31. C2×#17989120C2semidirect
32. C2×#538×C73C2semidirect
33. C22×#11924029C22semidirect
34. C22×#11924028C22semidirect
35. C22×#11924028C22semidirect
36. C22×#11924028C22semidirect
37. C22×#11924028C22semidirect
38. C22×#11924027C22semidirect
39. C22×#11924027C22semidirect
40. C22×#11924027C22semidirect
45. #17989328C22semidirect
46. #17989327C22semidirect
47. #17989326C22semidirect
48. #17989325C22semidirect
49. #17989304C22semidirect
50. #17989286C22semidirect
51. #17989282C22semidirect
52. #17989258C22semidirect
53. #17989255C22semidirect
54. #17989255C22semidirect
55. #17989235C22semidirect
56. #17989229C22semidirect
57. #17989227C22semidirect
58. #17989227C22semidirect
59. #17989226C22semidirect
60. #17989219C22semidirect
61. #17989207C22semidirect
62. #17989201C22semidirect
63. #17989176C22semidirect
64. #17989171C22semidirect
65. #17989170C22semidirect
66. #17989167C22semidirect
67. #17989164C22semidirect
68. #17989155C22semidirect
69. #17989153C22semidirect
70. #17989152C22semidirect
71. #17989152C22semidirect
72. #17989136C22semidirect
73. #17989134C22semidirect
74. C2×#14556590C22semidirect
75. C2×#14556589C22semidirect
76. C2×#14556588C22semidirect
79. C2×#14556587C22semidirect
80. C2×#14556587C22semidirect
81. C2×#14556587C22semidirect
82. C2×#14556587C22semidirect
83. C2×#14556587C22semidirect
84. #17989120C22semidirect
85. C2×#14556586C22semidirect
86. C2×#14556586C22semidirect
87. C2×#14556586C22semidirect
88. C2×#14556585C22semidirect
89. C2×#14556585C22semidirect
90. C2×#14556584C22semidirect
91. C2×#14556584C22semidirect
92. C2×#14556584C22semidirect
93. C2×#14556581C22semidirect
94. C2×#14556580C22semidirect
95. C2×#14556579C22semidirect
99. C2×#14556577C22semidirect
100. C2×#14556577C22semidirect
101. C2×#14556577C22semidirect
102. C2×#14556577C22semidirect
103. C2×#14556576C22semidirect
104. C2×#14556576C22semidirect
105. C2×#14556576C22semidirect
106. C2×#14556576C22semidirect
107. C2×#14556575C22semidirect
108. C2×#14556574C22semidirect
109. C2×#14556574C22semidirect
110. C2×#14556573C22semidirect
111. C2×#14556573C22semidirect
112. C2×#14556573C22semidirect
113. C2×#14556573C22semidirect
114. C2×#14556572C22semidirect
115. C2×#14556569C22semidirect
116. C2×#14556569C22semidirect
117. C2×#14556569C22semidirect
118. C2×#14556569C22semidirect
119. C2×#14556568C22semidirect
120. C2×#14556568C22semidirect
121. C2×#14556568C22semidirect
122. C2×#14556567C22semidirect
123. C2×#14556566C22semidirect
124. C2×#14556566C22semidirect
125. C2×#14556566C22semidirect
126. C2×#14556566C22semidirect
127. C2×#14556566C22semidirect
128. C2×#14556565C22semidirect
129. C2×#14556565C22semidirect
130. C2×#14556565C22semidirect
131. C2×#14556565C22semidirect
137. C2×#14556564C22semidirect
138. C2×#14556564C22semidirect
139. C2×#14556564C22semidirect
140. C2×#14556564C22semidirect
141. C2×#14556564C22semidirect
142. C2×#14556564C22semidirect
143. C2×#14556564C22semidirect
144. C2×#14556564C22semidirect
145. C2×#14556564C22semidirect
146. C2×#14556564C22semidirect
147. C2×#14556564C22semidirect
148. C2×#14556564C22semidirect
149. C2×#14556564C22semidirect
153. C2×#14556563C22semidirect
154. C2×#14556563C22semidirect
155. C2×#14556563C22semidirect
156. C2×#14556563C22semidirect
157. C2×#14556563C22semidirect
158. C2×#14556563C22semidirect
159. C2×#14556562C22semidirect
160. C2×#14556562C22semidirect
163. C2×#14556561C22semidirect
164. C2×#14556561C22semidirect
165. C2×#14556561C22semidirect
166. C2×#14556561C22semidirect
167. C2×#14556561C22semidirect
168. C2×#14556561C22semidirect
169. C2×#14556560C22semidirect
170. C2×#14556560C22semidirect
172. C2×#14556559C22semidirect
173. C2×#14556559C22semidirect
174. C2×#14556559C22semidirect
175. C2×C4×Dic146C22semidirect
176. C2×#14556556C22semidirect
177. C2×#14556556C22semidirect
178. C2×C4×D292C22semidirect
179. C2×#14556553C22semidirect
180. C2×#14556553C22semidirect
181. C2×C4×C22⋊D73C22semidirect
182. C2×C4×C22⋊D73C22semidirect
183. C2×C4×C22⋊D73C22semidirect
184. C2×C4×C22⋊D73C22semidirect
187. C2×#14556551C22semidirect
188. C2×#14556551C22semidirect
189. C2×#14556551C22semidirect
190. C2×#14556551C22semidirect
191. C2×#14556551C22semidirect
192. C2×#14556551C22semidirect
193. C2×#14556549C22semidirect
194. C2×#14556548C22semidirect
195. C2×#14556547C22semidirect
196. C2×#14556547C22semidirect
197. C22×#11924007C22semidirect
198. C2×C4⋊C4×D73C22semidirect
199. C22×#11924005C22semidirect
200. C2×C22⋊C4×D73C22semidirect
201. C2×C22⋊C4×D73C22semidirect
202. C2×C42×D73C22semidirect
203. #538×C73C22semidirect
204. C2×#126×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#124×C73C22semidirect
207. C2×#124×C73C22semidirect
208. C2×#123×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×C22⋊Q8×C73C22semidirect
211. C2×#121×C73C22semidirect
212. C2×#121×C73C22semidirect
213. C2×#121×C73C22semidirect
215. C2×#120×C73C22semidirect
216. C2×C4×D4×C73C22semidirect
217. C2×C4×D4×C73C22semidirect
218. C22×C22⋊C4×C73C22semidirect
223. C2×#11924029C23semidirect
228. C2×#11924028C23semidirect
229. C2×#11924028C23semidirect
230. C2×#11924028C23semidirect
231. C2×#11924028C23semidirect
235. C2×#11924027C23semidirect
236. C2×#11924027C23semidirect
237. C2×#11924027C23semidirect
303. #14556590C23semidirect
304. #14556589C23semidirect
305. #14556588C23semidirect
308. #14556587C23semidirect
309. #14556587C23semidirect
310. #14556587C23semidirect
311. #14556587C23semidirect
312. #14556587C23semidirect
313. #14556586C23semidirect
314. #14556586C23semidirect
315. #14556586C23semidirect
316. #14556585C23semidirect
317. #14556585C23semidirect
318. #14556584C23semidirect
319. #14556584C23semidirect
320. #14556584C23semidirect
321. #14556581C23semidirect
322. #14556580C23semidirect
323. #14556579C23semidirect
327. #14556577C23semidirect
328. #14556577C23semidirect
329. #14556577C23semidirect
330. #14556577C23semidirect
331. #14556576C23semidirect
332. #14556576C23semidirect
333. #14556576C23semidirect
334. #14556576C23semidirect
335. #14556575C23semidirect
336. #14556574C23semidirect
337. #14556574C23semidirect
338. #14556573C23semidirect
339. #14556573C23semidirect
340. #14556573C23semidirect
341. #14556573C23semidirect
342. #14556572C23semidirect
343. #14556569C23semidirect
344. #14556569C23semidirect
345. #14556569C23semidirect
346. #14556569C23semidirect
347. #14556568C23semidirect
348. #14556568C23semidirect
349. #14556568C23semidirect
350. #14556567C23semidirect
351. #14556566C23semidirect
352. #14556566C23semidirect
353. #14556566C23semidirect
354. #14556566C23semidirect
355. #14556566C23semidirect
356. #14556565C23semidirect
357. #14556565C23semidirect
358. #14556565C23semidirect
359. #14556565C23semidirect
365. #14556564C23semidirect
366. #14556564C23semidirect
367. #14556564C23semidirect
368. #14556564C23semidirect
369. #14556564C23semidirect
370. #14556564C23semidirect
371. #14556564C23semidirect
372. #14556564C23semidirect
373. #14556564C23semidirect
374. #14556564C23semidirect
375. #14556564C23semidirect
376. #14556564C23semidirect
377. #14556564C23semidirect
381. #14556563C23semidirect
382. #14556563C23semidirect
383. #14556563C23semidirect
384. #14556563C23semidirect
385. #14556563C23semidirect
386. #14556563C23semidirect
387. #14556562C23semidirect
388. #14556562C23semidirect
391. #14556561C23semidirect
392. #14556561C23semidirect
393. #14556561C23semidirect
394. #14556561C23semidirect
395. #14556561C23semidirect
396. #14556561C23semidirect
397. #14556560C23semidirect
398. #14556560C23semidirect
400. #14556559C23semidirect
401. #14556559C23semidirect
402. #14556559C23semidirect
403. C4×Dic146C23semidirect
404. #14556556C23semidirect
405. #14556556C23semidirect
406. C4×D292C23semidirect
407. #14556553C23semidirect
408. #14556553C23semidirect
409. C4×C22⋊D73C23semidirect
410. C4×C22⋊D73C23semidirect
411. C4×C22⋊D73C23semidirect
412. C4×C22⋊D73C23semidirect
415. #14556551C23semidirect
416. #14556551C23semidirect
417. #14556551C23semidirect
418. #14556551C23semidirect
419. #14556551C23semidirect
420. #14556551C23semidirect
421. #14556549C23semidirect
422. #14556548C23semidirect
423. #14556547C23semidirect
424. #14556547C23semidirect
445. C2×#11924007C23semidirect
446. C4⋊C4×D73C23semidirect
479. C2×#11924005C23semidirect
480. C22⋊C4×D73C23semidirect
481. C22⋊C4×D73C23semidirect
490. C42×D73C23semidirect
504. #126×C73C23semidirect
505. #126×C73C23semidirect
506. #124×C73C23semidirect
507. #124×C73C23semidirect
508. #123×C73C23semidirect
509. #123×C73C23semidirect
510. C22⋊Q8×C73C23semidirect
511. #121×C73C23semidirect
512. #121×C73C23semidirect
513. #121×C73C23semidirect
515. #120×C73C23semidirect
516. C4×D4×C73C23semidirect
517. C4×D4×C73C23semidirect
538. C2×C22⋊C4×C73C23semidirect
1068. C2×C73#3546semidirect
1100. C2×#538D73semidirect
1110. C73C2×#3546semidirect
1144. #538C2×D73semidirect
1172. C2×#126C2×D73semidirect
1173. C2×#126C2×D73semidirect
1184. C2×#124C2×D73semidirect
1185. C2×#124C2×D73semidirect
1198. C2×#123C2×D73semidirect
1199. C2×#123C2×D73semidirect
1208. C2×C22⋊Q8C2×D73semidirect
1247. C2×#121C2×D73semidirect
1248. C2×#121C2×D73semidirect
1249. C2×#121C2×D73semidirect
1265. C2×#120C2×D73semidirect
1284. C2×C4×D4C2×D73semidirect
1285. C2×C4×D4C2×D73semidirect
1295. C22×C22⋊C4C2×D73semidirect
1412. #126C22×D73semidirect
1413. #126C22×D73semidirect
1424. #124C22×D73semidirect
1425. #124C22×D73semidirect
1438. #123C22×D73semidirect
1439. #123C22×D73semidirect
1448. C22⋊Q8C22×D73semidirect
1487. #121C22×D73semidirect
1488. #121C22×D73semidirect
1489. #121C22×D73semidirect
1505. #120C22×D73semidirect
1524. C4×D4C22×D73semidirect
1525. C4×D4C22×D73semidirect
1607. C2×C22⋊C4C22×D73semidirect
2151. C2#22624296direct (N × H)

Maximal subgroups

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

subgroupindex
#226242962
C2×#179893282
C2×#179893272
C2×#179893262
C2×#179893252
C2×#179893042
C2×#179892862
C2×#179892822
C2×#179892582
C2×#179892552
C2×#179892352
C2×#179892292
C2×#179892272
C2×#179892262
C2×#179892192
C2×#179892072
C2×#179892012
C2×#179891762
C2×#179891712
C2×#179891702
C2×#179891672
C2×#179891642
C2×#179891552
C2×#179891532
C2×#179891522
C2×#179891362
C2×#179891342
C2×#179891202
C2×#538×C732
C2×#354673