Finite Group Databasebeta

← C2×#22623857 #33993943

Subgroups — C2×#22623857 #33993943

Order 18688.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623857C2132yesmaximal, direct product factor
2C2×#17989320C211yesmaximal, characteristic, complemented
3C2×#17989291C211yesmaximal, characteristic, complemented
4C2×#17989287C211yesmaximal, characteristic, complemented
5C2×#17989286C211yesmaximal, characteristic, complemented
6C2×#17989280C211yesmaximal, characteristic, complemented
7C2×#17989270C211yesmaximal, characteristic, complemented
8C2×#17989268C211yesmaximal, characteristic, complemented
9C2×#17989266C211yesmaximal, characteristic, complemented
10C2×#17989264C211yesmaximal, characteristic, complemented
11C2×#17989261C211yesmaximal, characteristic, complemented
12C2×#17989236C211yesmaximal, characteristic, complemented
13C2×#17989226C211yesmaximal, characteristic, complemented
14C2×#17989225C211yesmaximal, characteristic, complemented
15C2×#17989224C211yesmaximal, characteristic, complemented
16C2×#17989224C211yesmaximal, characteristic, complemented
17C2×#17989219C211yesmaximal, characteristic, complemented
18C2×#17989207C211yesmaximal, characteristic, complemented
19C2×#17989187C211yesmaximal, characteristic, complemented
20C2×#17989183C211yesmaximal, characteristic, complemented
21C2×#17989179C211yesmaximal, characteristic, complemented
22C2×#17989170C211yesmaximal, characteristic, complemented
23C2×#17989169C211yesmaximal, characteristic, complemented
24C2×#17989114C211yesmaximal, characteristic, complemented
25C2×#17989114C211yesmaximal, characteristic, complemented
26C2×#17989095C211yesmaximal, characteristic, complemented
27C22×#14556574C211yesmaximal, characteristic, complemented
28C2×#123×D73C211yesmaximal, characteristic, complemented
29C2×#17989066C211yesmaximal, characteristic, complemented
30C2×#17989059C211yesmaximal, characteristic, complemented
31C22×C4×C22⋊D73C211yesmaximal, characteristic, complemented
32C2×#525×C73C211yesmaximal, characteristic, complemented
33C22×#11924027C2211yescharacteristic
34C22×#11924027C2211yescharacteristic, complemented
35C23×C22⋊D73C2211yescharacteristic
36C23×C22⋊D73C2211yescharacteristic
37C22×D4×D73C2211yescharacteristic
38C22×D4×D73C2211yescharacteristic
39C23×C4×D73C2211yescharacteristic, complemented
40#17989320C22116yescomplemented
41#17989291C22116yescomplemented
42#17989287C22116yescomplemented
43#17989286C22116yescomplemented
44#17989280C22116yescomplemented
45#17989270C22116yescomplemented
46#17989268C22116yescomplemented
47#17989266C22116yescomplemented
48#17989264C22116yescomplemented
49#17989261C22116yescomplemented
50#17989236C22116yescomplemented
51#17989226C22116yescomplemented
52#17989225C22116yescomplemented
53#17989224C22116yescomplemented
54#17989224C22116yescomplemented
55#17989219C22116yescomplemented
56#17989207C22116yescomplemented
57#17989187C22116yescomplemented
58#17989183C22116yescomplemented
59#17989179C22116yescomplemented
60#17989170C22116yescomplemented
61#17989169C22116yescomplemented
62C2×#14556589C2211yescharacteristic, complemented
63C2×#14556587C2211yescharacteristic
64#17989114C22116yescomplemented
65#17989114C22116yescomplemented
66C2×#14556586C2211yescharacteristic, complemented
67C2×#14556586C2211yescharacteristic, complemented
68C2×#14556586C2211yescharacteristic, complemented
69C2×#14556586C2211yescharacteristic, complemented
70C2×#14556585C2211yescharacteristic, complemented
71C2×#14556585C2211yescharacteristic, complemented
72C2×#14556584C2211yescharacteristic, complemented
73C2×#14556584C2211yescharacteristic, complemented
74C2×#14556584C2211yescharacteristic, complemented
75C2×#14556584C2211yescharacteristic, complemented
76C2×#14556583C2211yescharacteristic, complemented
77C2×#14556581C2211yescharacteristic, complemented
78C2×#14556581C2211yescharacteristic, complemented
79C2×#14556581C2211yescharacteristic, complemented
80C2×#14556581C2211yescharacteristic, complemented
81C2×#14556580C2211yescharacteristic, complemented
82C2×#14556579C2211yescharacteristic, complemented
83C2×#14556578C2211yescharacteristic, complemented
84C2×#14556577C2211yescharacteristic, complemented
85C2×#14556577C2211yescharacteristic, complemented
86C2×#14556577C2211yescharacteristic, complemented
87C2×#14556577C2211yescharacteristic, complemented
88#17989095C22116yescomplemented
89C2×#14556576C2211yescharacteristic, complemented
90C2×#14556576C2211yescharacteristic, complemented
91C2×#14556576C2211yescharacteristic, complemented
92C2×#14556576C2211yescharacteristic, complemented
93C2×#14556575C2211yescharacteristic
94C2×#14556575C2211yescharacteristic, complemented
95C2×#14556574C2211yescharacteristic
96C2×#14556574C2211yescharacteristic
97C2×#14556574C2211yescharacteristic, complemented
98C2×#14556574C2211yescharacteristic, complemented
99C2×#14556574C2211yescharacteristic, complemented
100C2×#14556574C2211yescharacteristic, complemented
101C2×#14556574C2211yescharacteristic, complemented
102C2×#14556574C2211yescharacteristic, complemented
103C2×#14556574C2211yescharacteristic, complemented
104C2×#14556574C2211yescharacteristic, complemented
105C2×#14556574C22116yescomplemented
106C2×#14556573C2211yescharacteristic, complemented
107C2×#14556573C2211yescharacteristic, complemented
108C2×#14556573C2211yescharacteristic, complemented
109C2×#14556573C2211yescharacteristic, complemented
110C2×#14556572C2211yescharacteristic, complemented
111C2×#14556572C2211yescharacteristic, complemented
112C2×#14556572C2211yescharacteristic, complemented
113C2×#14556572C2211yescharacteristic, complemented
114#123×D73C22116yescomplemented
115C2×#14556570C2211yescharacteristic, complemented
116C2×#14556569C2211yescharacteristic, complemented
117C2×#14556569C2211yescharacteristic, complemented
118C2×#14556569C2211yescharacteristic, complemented
119C2×#14556569C2211yescharacteristic, complemented
120C2×#14556568C2211yescharacteristic, complemented
121C2×#14556568C2211yescharacteristic, complemented
122C2×#14556568C2211yescharacteristic, complemented
123C2×#14556568C2211yescharacteristic, complemented
124C2×#14556567C2211yescharacteristic, complemented
125C2×#14556567C2211yescharacteristic, complemented
126C2×#14556565C2211yescharacteristic, complemented
127C2×#14556564C2211yescharacteristic
128C2×#14556564C2211yescharacteristic
129C2×#14556564C2211yescharacteristic, complemented
130C2×#14556564C2211yescharacteristic, complemented
131C2×#14556563C2211yescharacteristic
132C2×#14556563C2211yescharacteristic
133C2×#14556563C2211yescharacteristic
134C2×#14556563C2211yescharacteristic, complemented
135C2×#14556563C2211yescharacteristic, complemented
136C2×#14556563C2211yescharacteristic, complemented
137C2×#14556563C2211yescharacteristic, complemented
138C2×#14556563C2211yescharacteristic, complemented
139C2×#14556562C2211yescharacteristic, complemented
140C2×#14556562C2211yescharacteristic, complemented
141C2×#14556561C2211yescharacteristic
142C2×#14556561C2211yescharacteristic
143C2×#14556559C2211yescharacteristic
144C2×#14556559C2211yescharacteristic, complemented
145C2×#14556559C2211yescharacteristic, complemented
146C2×#14556559C2211yescharacteristic, complemented
147#17989066C22116yescomplemented
148#17989059C22116yescomplemented
149C2×C4×Dic146C2211yescharacteristic, complemented
150C2×#14556556C2211yescharacteristic, complemented
151C2×#14556556C2211yescharacteristic, complemented
152C2×C4×D292C2211yescharacteristic, complemented
153C2×D4×Dic73C2211yescharacteristic, complemented
154C2×D4×Dic73C2211yescharacteristic, complemented
155C2×D4×Dic73C2211yescharacteristic, complemented
156C2×D4×Dic73C2211yescharacteristic, complemented
157C2×#14556553C2211yescharacteristic, complemented
158C2×#14556553C2211yescharacteristic, complemented
159C2×C4×C22⋊D73C2211yescharacteristic
160C2×C4×C22⋊D73C2211yescharacteristic
161C2×C4×C22⋊D73C2211yescharacteristic, complemented
162C2×C4×C22⋊D73C2211yescharacteristic, complemented
163C2×C4×C22⋊D73C2211yescharacteristic, complemented
164C2×C4×C22⋊D73C2211yescharacteristic, complemented
165C2×C4×C22⋊D73C2211yescharacteristic, complemented
166C2×C4×C22⋊D73C2211yescharacteristic, complemented
167C2×C4×C22⋊D73C2211yescharacteristic, complemented
168C2×C4×C22⋊D73C2211yescharacteristic, complemented
169C2×C4×C22⋊D73C22116yescomplemented
170C2×#14556551C2211yescharacteristic
171C2×#14556551C2211yescharacteristic
172C2×#14556551C2211yescharacteristic
173C2×#14556551C2211yescharacteristic, complemented
174C2×#14556551C2211yescharacteristic, complemented
175C2×#14556551C2211yescharacteristic, complemented
176C2×#14556551C2211yescharacteristic, complemented
177C2×#14556551C2211yescharacteristic, complemented
178C2×#14556549C2211yescharacteristic, complemented
179C2×#14556549C2211yescharacteristic, complemented
180C2×#14556548C2211yescharacteristic, complemented
181C2×#14556548C2211yescharacteristic, complemented
182C2×#14556547C2211yescharacteristic, complemented
183C2×#14556547C2211yescharacteristic, complemented
184C2×#14556547C2211yescharacteristic, complemented
185C2×#14556547C2211yescharacteristic, complemented
186C22×#11924007C2211yescharacteristic, complemented
187C22×#11924007C2211yescharacteristic, complemented
188C22×#11924007C2211yescharacteristic, complemented
189C22×#11924007C2211yescharacteristic, complemented
190C2×C4⋊C4×D73C2211yescharacteristic, complemented
191C2×C4⋊C4×D73C2211yescharacteristic, complemented
192C22×C22⋊Dic73C2211yescharacteristic, complemented
193C22×C22⋊Dic73C2211yescharacteristic, complemented
194C22×#11924005C2211yescharacteristic, complemented
195C22×#11924005C2211yescharacteristic, complemented
196C22×#11924005C2211yescharacteristic, complemented
197C22×#11924005C2211yescharacteristic, complemented
198C2×C22⋊C4×D73C2211yescharacteristic, complemented
199C2×C22⋊C4×D73C2211yescharacteristic, complemented
200C2×C22⋊C4×D73C2211yescharacteristic, complemented
201C2×C22⋊C4×D73C2211yescharacteristic, complemented
202C22×C4×Dic73C2211yescharacteristic, complemented
203C22×#41×C73C2211yescharacteristic, complemented
204C24×C4×C73C2211yescharacteristic, complemented
205#525×C73C22116yescomplemented
206C2×#123×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic, complemented
208C2×C22⋊Q8×C73C2211yescharacteristic, complemented
209C2×C22⋊Q8×C73C2211yescharacteristic, complemented
210C2×#121×C73C2211yescharacteristic, complemented
211C2×#121×C73C2211yescharacteristic, complemented
212C2×#120×C73C2211yescharacteristic
213C2×#120×C73C2211yescharacteristic, complemented
214C2×C4×D4×C73C2211yescharacteristic, complemented
215C2×C4×D4×C73C2211yescharacteristic, complemented
216C2×C4×D4×C73C2211yescharacteristic, complemented
217C2×C4×D4×C73C2211yescharacteristic, complemented
218C2×#117×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C24×D73C2311yescharacteristic
222C2×#11924027—28no—
223C2×#11924027—44no—
224C2×#11924027C2318yes—
225C2×#11924027C2318yescomplemented
226C22×Dic146C2311yescharacteristic
227C22×Dic146C2311yescharacteristic
228C22×Dic146C2311yescharacteristic
229C22×D292C2311yescharacteristic
230C22×D292C2311yescharacteristic
231C22×D292C2311yescharacteristic
232C22×C22⋊D73—28no—
233C22×C22⋊D73—44no—
234C22×C22⋊D73C2311yescharacteristic
235C22×C22⋊D73C2311yescharacteristic
236C22×C22⋊D73C2311yescharacteristic
237C22×C22⋊D73C2311yescharacteristic
238C22×C22⋊D73C2318yes—
239C22×C22⋊D73C2311yescharacteristic
240C22×C22⋊D73C2311yescharacteristic
241C22×C22⋊D73C2311yescharacteristic
242C22×C22⋊D73C2311yescharacteristic
243C22×C22⋊D73C2311yescharacteristic
244C22×C22⋊D73C2318yes—
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C2×D4×D73—28no—
251C2×D4×D73—44no—
252C2×D4×D73C2318yes—
253C2×D4×D73C2318yes—
254C23×Dic73C2311yescharacteristic
255C23×Dic73C2311yescharacteristic
256C23×Dic73C2311yescharacteristic
257C23×Dic73C2311yescharacteristic
258C23×Dic73C2311yescharacteristic
259C23×Dic73C2311yescharacteristic
260C23×Dic73C2311yescharacteristic
261C23×Dic73C2311yescharacteristic
262C23×Dic73C2311yescharacteristic
263C22×C4×D73—44no—
264C22×C4×D73C2311yescharacteristic
265C22×C4×D73C2311yescharacteristic
266C22×C4×D73C2311yescharacteristic
267C22×C4×D73C2311yescharacteristic
268C22×C4×D73C2311yescharacteristic
269C22×C4×D73C2311yescharacteristic
270C22×C4×D73C2311yescharacteristic
271C22×C4×D73C2311yescharacteristic
272C22×C4×D73C2311yescharacteristic
273C22×C4×D73C2311yescharacteristic
274C22×C4×D73C2318yescomplemented
275#14556589C2318yescomplemented
276#14556587C2318yes—
277#14556586C2318yescomplemented
278#14556586C2318yescomplemented
279#14556586C2318yescomplemented
280#14556586C2318yescomplemented
281#14556585C2318yescomplemented
282#14556585C2318yescomplemented
283#14556584C2318yescomplemented
284#14556584C2318yescomplemented
285#14556584C2318yescomplemented
286#14556584C2318yescomplemented
287#14556583C2318yescomplemented
288#14556581C2318yescomplemented
289#14556581C2318yescomplemented
290#14556581C2318yescomplemented
291#14556581C2318yescomplemented
292#14556580C2318yescomplemented
293#14556579C2318yescomplemented
294#14556578C2318yescomplemented
295#14556577C2318yescomplemented
296#14556577C2318yescomplemented
297#14556577C2318yescomplemented
298#14556577C2318yescomplemented
299#14556576C2318yescomplemented
300#14556576C2318yescomplemented
301#14556576C2318yescomplemented
302#14556576C2318yescomplemented
303#14556575C2318yes—
304#14556575C2318yescomplemented
305#14556574C2318yes—
306#14556574C2318yes—
307#14556574C2318yescomplemented
308#14556574C2318yescomplemented
309#14556574C2318yescomplemented
310#14556574C2318yescomplemented
311#14556574C2318yescomplemented
312#14556574C2318yescomplemented
313#14556574C2318yescomplemented
314#14556574C2318yescomplemented
315#14556573C2318yescomplemented
316#14556573C2318yescomplemented
317#14556573C2318yescomplemented
318#14556573C2318yescomplemented
319#14556572C2318yescomplemented
320#14556572C2318yescomplemented
321#14556572C2318yescomplemented
322#14556572C2318yescomplemented
323#14556570C2318yescomplemented
324#14556569C2318yescomplemented
325#14556569C2318yescomplemented
326#14556569C2318yescomplemented
327#14556569C2318yescomplemented
328#14556568C2318yescomplemented
329#14556568C2318yescomplemented
330#14556568C2318yescomplemented
331#14556568C2318yescomplemented
332#14556567C2318yescomplemented
333#14556567C2318yescomplemented
334#14556565C2318yescomplemented
335#14556564C2318yes—
336#14556564C2318yes—
337#14556564C2318yescomplemented
338#14556564C2318yescomplemented
339#14556563C2318yes—
340#14556563C2318yes—
341#14556563C2318yes—
342#14556563C2318yescomplemented
343#14556563C2318yescomplemented
344#14556563C2318yescomplemented
345#14556563C2318yescomplemented
346#14556563C2318yescomplemented
347#14556562C2318yescomplemented
348#14556562C2318yescomplemented
349#14556561C2318yes—
350#14556561C2318yes—
351#14556559C2318yes—
352#14556559C2318yescomplemented
353#14556559C2318yescomplemented
354#14556559C2318yescomplemented
355C4×Dic146C2318yescomplemented
356#14556556C2318yescomplemented
357#14556556C2318yescomplemented
358C4×D292C2318yescomplemented
359D4×Dic73C2318yescomplemented
360D4×Dic73C2318yescomplemented
361D4×Dic73C2318yescomplemented
362D4×Dic73C2318yescomplemented
363#14556553C2318yescomplemented
364#14556553C2318yescomplemented
365C4×C22⋊D73C2318yes—
366C4×C22⋊D73C2318yes—
367C4×C22⋊D73C2318yescomplemented
368C4×C22⋊D73C2318yescomplemented
369C4×C22⋊D73C2318yescomplemented
370C4×C22⋊D73C2318yescomplemented
371C4×C22⋊D73C2318yescomplemented
372C4×C22⋊D73C2318yescomplemented
373C4×C22⋊D73C2318yescomplemented
374C4×C22⋊D73C2318yescomplemented
375#14556551C2318yes—
376#14556551C2318yes—
377#14556551C2318yes—
378#14556551C2318yescomplemented
379#14556551C2318yescomplemented
380#14556551C2318yescomplemented
381#14556551C2318yescomplemented
382#14556551C2318yescomplemented
383#14556549C2318yescomplemented
384#14556549C2318yescomplemented
385#14556548C2318yescomplemented
386#14556548C2318yescomplemented
387#14556547C2318yescomplemented
388#14556547C2318yescomplemented
389#14556547C2318yescomplemented
390#14556547C2318yescomplemented
391C2×C4⋊Dic73C2311yescharacteristic
392C2×C4⋊Dic73C2311yescharacteristic
393C2×C4⋊Dic73C2311yescharacteristic
394C2×C4⋊Dic73C2311yescharacteristic
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×#11924007C2311yescharacteristic
398C2×#11924007C2311yescharacteristic
399C2×#11924007C2311yescharacteristic
400C2×#11924007C2311yescharacteristic
401C2×#11924007C2311yescharacteristic
402C2×#11924007C2311yescharacteristic
403C2×#11924007C2311yescharacteristic
404C2×#11924007C2311yescharacteristic
405C2×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2318yescomplemented
422C2×#11924007C2318yescomplemented
423C2×#11924007C2318yescomplemented
424C2×#11924007C2318yescomplemented
425C4⋊C4×D73C2318yescomplemented
426C4⋊C4×D73C2318yescomplemented
427C2×C22⋊Dic73C2311yescharacteristic
428C2×C22⋊Dic73C2311yescharacteristic
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×C22⋊Dic73C2311yescharacteristic
435C2×C22⋊Dic73C2311yescharacteristic
436C2×C22⋊Dic73C2311yescharacteristic
437C2×C22⋊Dic73C2311yescharacteristic
438C2×C22⋊Dic73C2311yescharacteristic
439C2×C22⋊Dic73C2311yescharacteristic
440C2×C22⋊Dic73C2311yescharacteristic
441C2×C22⋊Dic73C2318yescomplemented
442C2×C22⋊Dic73C2318yescomplemented
443C2×#11924005C2311yescharacteristic
444C2×#11924005C2311yescharacteristic
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×#11924005C2318yescomplemented
468C2×#11924005C2318yescomplemented
469C2×#11924005C2318yescomplemented
470C2×#11924005C2318yescomplemented
471C22⋊C4×D73C2318yescomplemented
472C22⋊C4×D73C2318yescomplemented
473C22⋊C4×D73C2318yescomplemented
474C22⋊C4×D73C2318yescomplemented
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2311yescharacteristic
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C2×C4×Dic73C2311yescharacteristic
485C2×C4×Dic73C2318yescomplemented
486C25×C73C2311yescharacteristic
487C2×#41×C73—44no—
488C2×#41×C73C2318yescomplemented
489C22×Q8×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C22×D4×C73C2311yescharacteristic
493C22×D4×C73C2311yescharacteristic
494C22×D4×C73C2311yescharacteristic
495C22×D4×C73C2311yescharacteristic
496C22×D4×C73C2311yescharacteristic
497C23×C4×C73—44no—
498C23×C4×C73C2311yescharacteristic
499C23×C4×C73C2311yescharacteristic
500C23×C4×C73C2311yescharacteristic
501C23×C4×C73C2311yescharacteristic
502C23×C4×C73C2311yescharacteristic
503C23×C4×C73C2311yescharacteristic
504C23×C4×C73C2311yescharacteristic
505C23×C4×C73C2311yescharacteristic
506C23×C4×C73C2318yescomplemented
507#123×C73C2318yescomplemented
508#123×C73C2318yescomplemented
509C22⋊Q8×C73C2318yescomplemented
510C22⋊Q8×C73C2318yescomplemented
511#121×C73C2318yescomplemented
512#121×C73C2318yescomplemented
513#120×C73C2318yes—
514#120×C73C2318yescomplemented
515C4×D4×C73C2318yescomplemented
516C4×D4×C73C2318yescomplemented
517C4×D4×C73C2318yescomplemented
518C4×D4×C73C2318yescomplemented
519#117×C73C2318yescomplemented
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×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×C42×C73C2311yescharacteristic
537C2×C42×C73C2311yescharacteristic
538C23×D73—24no—
539C23×D73—24no—
540C23×D73—24no—
541C23×D73—24no—
542C23×D73—42no—
543C23×D73—42no—
544C23×D73—42no—
545C23×D73—42no—
546C23×D73—42no—
547C23×D73C2411yescharacteristic
548C23×D73C2411yescharacteristic
549C23×D73C2411yescharacteristic
550C23×D73C2414yes—
551C23×D73C2411yescharacteristic
552C23×D73C2414yes—
553C23×D73C2414yes—
554#11924027—232no—
555#11924027—416no—
556C2×Dic146—24no—
557C2×Dic146—42no—
558C2×Dic146—42no—
559C2×Dic146C2414yes—
560C2×Dic146C2414yes—
561C2×Dic146C2414yes—
562C2×D292—24no—
563C2×D292—42no—
564C2×D292—42no—
565C2×D292C2414yes—
566C2×D292C2414yes—
567C2×D292C2414yes—
568C2×C22⋊D73—24no—
569C2×C22⋊D73—24no—
570C2×C22⋊D73—24no—
571C2×C22⋊D73—24no—
572C2×C22⋊D73—24no—
573C2×C22⋊D73—232no—
574C2×C22⋊D73—24no—
575C2×C22⋊D73—24no—
576C2×C22⋊D73—42no—
577C2×C22⋊D73—42no—
578C2×C22⋊D73—42no—
579C2×C22⋊D73—42no—
580C2×C22⋊D73—42no—
581C2×C22⋊D73—42no—
582C2×C22⋊D73—416no—
583C2×C22⋊D73#4118yescomplemented
584C2×C22⋊D73C2414yes—
585C2×C22⋊D73C2414yes—
586C2×C22⋊D73C2414yes—
587C2×C22⋊D73C2414yes—
588C2×C22⋊D73C2414yes—
589C2×C22⋊D73C2414yes—
590C2×C22⋊D73C2414yes—
591C2×C22⋊D73C2414yes—
592C2×C22⋊D73C2414yes—
593C2×C22⋊D73C2414yes—
594C2×C22⋊D73C2414yes—
595C2×C22⋊D73C2414yes—
596C2×C22⋊D73C2414yes—
597C2×C22⋊D73C2414yes—
598D4×D73—232no—
599D4×D73—416no—
600C22×Dic73—24no—
601C22×Dic73—24no—
602C22×Dic73—24no—
603C22×Dic73—24no—
604C22×Dic73—42no—
605C22×Dic73—42no—
606C22×Dic73—42no—
607C22×Dic73—42no—
608C22×Dic73—42no—
609C22×Dic73C2411yescharacteristic
610C22×Dic73C2411yescharacteristic
611C22×Dic73C2411yescharacteristic
612C22×Dic73C2411yescharacteristic
613C22×Dic73C2411yescharacteristic
614C22×Dic73C2411yescharacteristic
615C22×Dic73C2411yescharacteristic
616C22×Dic73C2411yescharacteristic
617C22×Dic73C2411yescharacteristic
618C22×Dic73C2414yes—
619C22×Dic73C2411yescharacteristic
620C22×Dic73C2411yescharacteristic
621C22×Dic73C2414yes—
622C22×Dic73C2414yes—
623C22×Dic73C2414yes—
624C22×Dic73C2414yes—
625C22×Dic73C2414yes—
626C22×Dic73C2414yes—
627C22×Dic73C2414yes—
628C22×Dic73C2414yes—
629C22×Dic73C2411yescharacteristic
630C2×C4×D73—24no—
631C2×C4×D73—24no—
632C2×C4×D73—42no—
633C2×C4×D73—42no—
634C2×C4×D73—42no—
635C2×C4×D73—42no—
636C2×C4×D73—416no—
637C2×C4×D73—42no—
638C2×C4×D73—42no—
639C2×C4×D73—42no—
640C2×C4×D73—42no—
641C2×C4×D73C2414yes—
642C2×C4×D73C2414yes—
643C2×C4×D73C2414yes—
644C2×C4×D73C2414yes—
645C2×C4×D73C2414yes—
646C2×C4×D73C2414yes—
647C2×C4×D73C2414yes—
648C2×C4×D73C2414yes—
649C2×C4×D73C2414yes—
650C2×C4×D73C2414yes—
651C4⋊Dic73C2414yes—
652C4⋊Dic73C2414yes—
653C4⋊Dic73C2414yes—
654C4⋊Dic73C2414yes—
655C4⋊Dic73C2414yes—
656C4⋊Dic73C2414yes—
657#11924007C2414yes—
658#11924007C2414yes—
659#11924007C2414yes—
660#11924007C2414yes—
661#11924007C2414yes—
662#11924007C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665#11924007C2414yes—
666#11924007C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673#11924007C2414yes—
674#11924007C2414yes—
675#11924007C2414yes—
676#11924007C2414yes—
677#11924007C2414yes—
678#11924007C2414yes—
679#11924007C2414yes—
680#11924007C2414yes—
681C22⋊Dic73C2414yes—
682C22⋊Dic73C2414yes—
683C22⋊Dic73C2414yes—
684C22⋊Dic73C2414yes—
685C22⋊Dic73C2414yes—
686C22⋊Dic73C2414yes—
687C22⋊Dic73C2414yes—
688C22⋊Dic73C2414yes—
689C22⋊Dic73C2414yes—
690C22⋊Dic73C2414yes—
691C22⋊Dic73C2414yes—
692C22⋊Dic73C2414yes—
693C22⋊Dic73C2414yes—
694C22⋊Dic73C2414yes—
695#11924005C2414yes—
696#11924005C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701#11924005C2414yes—
702#11924005C2414yes—
703#11924005C2414yes—
704#11924005C2414yes—
705#11924005C2414yes—
706#11924005C2414yes—
707#11924005C2414yes—
708#11924005C2414yes—
709#11924005C2414yes—
710#11924005C2414yes—
711#11924005C2414yes—
712#11924005C2414yes—
713#11924005C2414yes—
714#11924005C2414yes—
715#11924005C2414yes—
716#11924005C2414yes—
717#11924005C2414yes—
718#11924005C2414yes—
719C4×Dic73C2414yes—
720C4×Dic73C2414yes—
721C4×Dic73C2414yes—
722C4×Dic73C2414yes—
723C4×Dic73C2414yes—
724C4×Dic73C2414yes—
725C4×Dic73C2414yes—
726C4×Dic73C2414yes—
727C4×Dic73C2414yes—
728C4×Dic73C2414yes—
729C24×C73—24no—
730C24×C73—24no—
731C24×C73—42no—
732C24×C73C2411yescharacteristic
733C24×C73C2411yescharacteristic
734C24×C73C2411yescharacteristic
735C24×C73C2414yes—
736C24×C73C2411yescharacteristic
737C24×C73C2411yescharacteristic
738#41×C73—416no—
739C2×Q8×C73—42no—
740C2×Q8×C73C2414yes—
741C2×D4×C73—24no—
742C2×D4×C73—24no—
743C2×D4×C73—24no—
744C2×D4×C73—24no—
745C2×D4×C73—42no—
746C2×D4×C73—42no—
747C2×D4×C73—42no—
748C2×D4×C73C2414yes—
749C2×D4×C73C2414yes—
750C2×D4×C73C2414yes—
751C2×D4×C73C2414yes—
752C2×D4×C73C2414yes—
753C2×D4×C73C2414yes—
754C2×D4×C73C2414yes—
755C22×C4×C73—24no—
756C22×C4×C73—24no—
757C22×C4×C73—42no—
758C22×C4×C73—42no—
759C22×C4×C73—42no—
760C22×C4×C73—42no—
761C22×C4×C73—416no—
762C22×C4×C73—42no—
763C22×C4×C73—42no—
764C22×C4×C73C2411yescharacteristic
765C22×C4×C73C2411yescharacteristic
766C22×C4×C73C2411yescharacteristic
767C22×C4×C73C2411yescharacteristic
768C22×C4×C73C2411yescharacteristic
769C22×C4×C73C2411yescharacteristic
770C22×C4×C73C2411yescharacteristic
771C22×C4×C73C2411yescharacteristic
772C22×C4×C73C2411yescharacteristic
773C22×C4×C73C2411yescharacteristic
774C22×C4×C73C2414yes—
775C22×C4×C73C2414yes—
776C22×C4×C73C2414yes—
777C22×C4×C73C2414yes—
778C22×C4×C73C2414yes—
779C22×C4×C73C2414yes—
780C22×C4×C73C2414yes—
781C22×C4×C73C2414yes—
782C4⋊C4×C73C2414yes—
783C4⋊C4×C73C2414yes—
784C4⋊C4×C73C2414yes—
785C4⋊C4×C73C2414yes—
786C4⋊C4×C73C2414yes—
787C4⋊C4×C73C2414yes—
788C22⋊C4×C73C2414yes—
789C22⋊C4×C73C2414yes—
790C22⋊C4×C73C2414yes—
791C22⋊C4×C73C2414yes—
792C22⋊C4×C73C2414yes—
793C22⋊C4×C73C2414yes—
794C22⋊C4×C73C2414yes—
795C22⋊C4×C73C2414yes—
796C22⋊C4×C73C2414yes—
797C22⋊C4×C73C2414yes—
798C42×C73C2414yes—
799C42×C73C2414yes—
800C23×C73—22no—
801C23×C73—22no—
802C23×C73—22no—
803C23×C73—22no—
804C23×C73—22no—
805C23×C73—22no—
806C23×C73—28no—
807C23×C73—22no—
808C23×C73—28no—
809C23×C73—22no—
810C23×C73—22no—
811C23×C73—22no—
812C23×C73—22no—
813C23×C73—22no—
814C23×C73—22no—
815C23×C73—44no—
816C23×C73—416no—
817C23×C73C2×#4114yes—
818C23×C73H(5,𝔽2)14yes—
819C23×C73C2512yes—
820C23×C73C2512yes—
821C23×C73C2512yes—
822C23×C73C2512yes—
823C23×C73C2512yes—
824C23×C73C2511yescharacteristic
825C22×D73—22no—
826C22×D73—22no—
827C22×D73—22no—
828C22×D73—22no—
829C22×D73—22no—
830C22×D73—28no—
831C22×D73—22no—
832C22×D73—22no—
833C22×D73—22no—
834C22×D73—22no—
835C22×D73—22no—
836C22×D73—22no—
837C22×D73—28no—
838C22×D73—28no—
839C22×D73—28no—
840C22×D73—44no—
841C22×D73—44no—
842C22×D73—44no—
843C22×D73—44no—
844C22×D73—44no—
845C22×D73—416no—
846C22×D73—88no—
847C22×D73—88no—
848C22×D73C2×#4114yes—
849C22×D73C2512yes—
850C22×D73C2512yes—
851C22×D73C2512yes—
852C22×D73C2512yes—
853Q8×C73—44no—
854D4×C73—28no—
855D4×C73—28no—
856D4×C73—28no—
857D4×C73—28no—
858D4×C73—44no—
859D4×C73—44no—
860D4×C73—44no—
861C2×C4×C73—22no—
862C2×C4×C73—22no—
863C2×C4×C73—22no—
864C2×C4×C73—22no—
865C2×C4×C73—28no—
866C2×C4×C73—28no—
867C2×C4×C73—22no—
868C2×C4×C73—22no—
869C2×C4×C73—22no—
870C2×C4×C73—22no—
871C2×C4×C73—22no—
872C2×C4×C73—22no—
873C2×C4×C73—44no—
874C2×C4×C73—44no—
875C2×C4×C73—44no—
876C2×C4×C73—44no—
877C2×C4×C73—44no—
878C2×C4×C73—44no—
879C2×C4×C73C2512yes—
880C2×C4×C73C2512yes—
881C2×C4×C73C2512yes—
882C2×C4×C73C2512yes—
883C2×C4×C73C2512yes—
884C2×C4×C73C2512yes—
885C2×C4×C73C2512yes—
886C2×C4×C73C2512yes—
887C2×C4×C73C2512yes—
888C2×C4×C73C2512yes—
889C22⋊D73—28no—
890C22⋊D73—28no—
891C22⋊D73—28no—
892C22⋊D73—28no—
893C22⋊D73—28no—
894C22⋊D73—28no—
895C22⋊D73—28no—
896C22⋊D73—44no—
897C22⋊D73—44no—
898C22⋊D73—44no—
899C22⋊D73—44no—
900C22⋊D73—44no—
901C22⋊D73—44no—
902C22⋊D73C2×#41116yescomplemented
903C2×Dic73—22no—
904C2×Dic73—22no—
905C2×Dic73—22no—
906C2×Dic73—28no—
907C2×Dic73—22no—
908C2×Dic73—22no—
909C2×Dic73—28no—
910C2×Dic73—22no—
911C2×Dic73—22no—
912C2×Dic73—22no—
913C2×Dic73—22no—
914C2×Dic73—22no—
915C2×Dic73—22no—
916C2×Dic73—28no—
917C2×Dic73—28no—
918C2×Dic73—44no—
919C2×Dic73—44no—
920C2×Dic73—44no—
921C2×Dic73—44no—
922C2×Dic73—44no—
923C2×Dic73C2×#4114yes—
924C2×Dic73C2512yes—
925C2×Dic73C2512yes—
926C2×Dic73C2512yes—
927C2×Dic73C2512yes—
928C2×Dic73C2512yes—
929C2×Dic73C2512yes—
930C2×Dic73C2512yes—
931C2×Dic73C2512yes—
932C2×Dic73C2512yes—
933C2×Dic73C2512yes—
934C2×Dic73C2512yes—
935C2×Dic73C2512yes—
936D292—28no—
937D292—44no—
938D292—44no—
939C4×D73—28no—
940C4×D73—28no—
941C4×D73—44no—
942C4×D73—44no—
943C4×D73—44no—
944C4×D73—44no—
945C4×D73—44no—
946C4×D73—44no—
947C4×D73—44no—
948C4×D73—44no—
949Dic146—28no—
950Dic146—44no—
951Dic146—44no—
952C22×C73—22no—
953C22×C73—22no—
954C22×C73—22no—
955C22×C73—22no—
956C22×C73—28no—
957C22×C73—28no—
958C22×C73—22no—
959C22×C73—22no—
960C22×C73—22no—
961C22×C73—22no—
962C22×C73—22no—
963C22×C73—22no—
964C22×C73—22no—
965C22×C73—22no—
966C22×C73—22no—
967C22×C73—416no—
968C22×C73—44no—
969C22×C73—44no—
970C22×C73—44no—
971C22×C73C22×#4114yes—
972C22×C73C22×#4112yes—
973C22×C73C2×H(5,𝔽2)14yes—
974C22×C73C2×H(5,𝔽2)12yes—
975C22×C73#58512yes—
976C22×C73C2611yescharacteristic
977C2×D73—22no—
978C2×D73—22no—
979C2×D73—28no—
980C2×D73—22no—
981C2×D73—22no—
982C2×D73—22no—
983C2×D73—22no—
984C2×D73—22no—
985C2×D73—22no—
986C2×D73—22no—
987C2×D73—22no—
988C2×D73—22no—
989C2×D73—416no—
990C2×D73—44no—
991C2×D73—44no—
992C2×D73—44no—
993C2×D73—88no—
994C2×D73—88no—
995C2×D73C22×#4114yes—
996C4×C73—22no—
997C4×C73—22no—
998C4×C73—22no—
999C4×C73—22no—
1000C4×C73—22no—
1001C4×C73—22no—
1002C4×C73—22no—
1003C4×C73—22no—
1004C4×C73—22no—
1005C4×C73—22no—
1006Dic73—22no—
1007Dic73—22no—
1008Dic73—22no—
1009Dic73—22no—
1010Dic73—22no—
1011Dic73—22no—
1012Dic73—22no—
1013Dic73—22no—
1014Dic73—22no—
1015Dic73—22no—
1016Dic73—22no—
1017Dic73C22×#4114yes—
1018C2×#3513—731nomaximal, Sylow
1019C2×C73—24no—
1020C2×C73—24no—
1021C2×C73—42no—
1022C2×C73—42no—
1023C2×C73—42no—
1024C2×C73#351314yescomplemented
1025C2×C73C23×#4111yescharacteristic
1026C2×C73C22×H(5,𝔽2)11yescharacteristic
1027C2×C73C2×#58511yescharacteristic
1028D73—24no—
1029D73—42no—
1030D73—42no—
1031D73—42no—
1032#3513—7332no—
1033C2×#559—731no—
1034C2×#554—731no—
1035C2×#553—731no—
1036C2×#553—731no—
1037C2×#553—731no—
1038C2×#552—731no—
1039C2×#551—731no—
1040C2×#551—731no—
1041C2×#551—731no—
1042C2×#551—731no—
1043C2×#547—731no—
1044C2×#546—731no—
1045C2×#546—731no—
1046C2×#546—731no—
1047C2×#546—731no—
1048C2×D42—731no—
1049C2×#542—731no—
1050C2×#540—731no—
1051C2×#539—731no—
1052C2×#539—731no—
1053C2×#538—731no—
1054C2×#538—731no—
1055C2×#529—731no—
1056C2×#529—731no—
1057C2×#525—731no—
1058C2×#525D7311yescharacteristic, complemented
1059C22×#123—731no—
1060C22×#123—731no—
1061C2×#520—731no—
1062C2×#518—731no—
1063C22×C4×D4—731no—
1064C73C2×#351311yescharacteristic, complemented, Sylow
1065C22×#41—731no—
1066C22×#41—731no—
1067C22×#41C2×D7311yescharacteristic, complemented
1068C23×D4—731no—
1069C23×D4—731no—
1070C23×D4—731no—
1071C23×D4—731no—
1072C24×C4—731no—
1073C24×C4C2×D7311yescharacteristic, complemented
1074#559—7316no—
1075#554—7316no—
1076#553—7316no—
1077#553—7316no—
1078#553—7316no—
1079#552—7316no—
1080#551—7316no—
1081#551—7316no—
1082#551—7316no—
1083#551—7316no—
1084#547—7316no—
1085#546—7316no—
1086#546—7316no—
1087#546—7316no—
1088#546—7316no—
1089D42—7316no—
1090#542—7316no—
1091#540—7316no—
1092#539—7316no—
1093#539—7316no—
1094#538—7316no—
1095#538—7316no—
1096C2×C4⋊Q8—731no—
1097C2×#127—731no—
1098#529—7316no—
1099#529—7316no—
1100C2×#126—731no—
1101C2×#126—731no—
1102C2×#126—731no—
1103C2×#126—731no—
1104C2×#126—731no—
1105C2×#126—731no—
1106C2×#126—731no—
1107C2×#126—731no—
1108C2×#126—731no—
1109C2×#126—731no—
1110C2×#125—731no—
1111C2×#125—731no—
1112C2×#125—731no—
1113C2×#125—731no—
1114C2×#125—731no—
1115C2×#124—731no—
1116C2×#124—731no—
1117C2×#124—731no—
1118C2×#124—731no—
1119C2×#124—731no—
1120C2×#124—731no—
1121C2×#124—731no—
1122#525—7316no—
1123#525C2×D73116yescomplemented
1124C2×#123—731no—
1125C2×#123—731no—
1126C2×#123—731no—
1127C2×#123—731no—
1128C2×#123—731no—
1129C2×#123—731no—
1130C2×#123—731no—
1131C2×#123—731no—
1132C2×#123—731no—
1133C2×#123—731no—
1134C2×#123—731no—
1135C2×#123—731no—
1136C2×#123—731no—
1137C2×#123—731no—
1138C2×#123—7316no—
1139C2×#123—7316no—
1140C2×#123—731no—
1141C2×#123—731no—
1142C2×#123—731no—
1143C2×#123—731no—
1144C2×#123—731no—
1145C2×#123—731no—
1146C2×#123—731no—
1147C2×#123—731no—
1148C2×#123—731no—
1149C2×#123—731no—
1150C2×#123C2×D7311yescharacteristic, complemented
1151C2×#123C2×D7311yescharacteristic, complemented
1152C2×C22⋊Q8—731no—
1153C2×C22⋊Q8—731no—
1154C2×C22⋊Q8—731no—
1155C2×C22⋊Q8—731no—
1156C2×C22⋊Q8—731no—
1157C2×C22⋊Q8—731no—
1158C2×C22⋊Q8—731no—
1159C2×C22⋊Q8—731no—
1160C2×C22⋊Q8—731no—
1161C2×C22⋊Q8—731no—
1162C2×C22⋊Q8—731no—
1163C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1164C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1165C2×#121—731no—
1166C2×#121—731no—
1167C2×#121—731no—
1168C2×#121—731no—
1169C2×#121—731no—
1170C2×#121—731no—
1171C2×#121—731no—
1172C2×#121—731no—
1173C2×#121—731no—
1174C2×#121—731no—
1175C2×#121—731no—
1176C2×#121—731no—
1177C2×#121—731no—
1178C2×#121—731no—
1179C2×#121—731no—
1180C2×#121C2×D7311yescharacteristic, complemented
1181C2×#121C2×D7311yescharacteristic, complemented
1182C2×#120—731no—
1183C2×#120—731no—
1184C2×#120—731no—
1185C2×#120—731no—
1186C2×#120—731no—
1187C2×#120—731no—
1188C2×#120C2×D7311yescharacteristic
1189C2×#120C2×D7311yescharacteristic, complemented
1190#520—7316no—
1191#518—7316no—
1192C2×C4×Q8—731no—
1193C2×C4×Q8—731no—
1194C2×C4×Q8—731no—
1195C2×C4×D4—731no—
1196C2×C4×D4—731no—
1197C2×C4×D4—731no—
1198C2×C4×D4—731no—
1199C2×C4×D4—731no—
1200C2×C4×D4—731no—
1201C2×C4×D4—731no—
1202C2×C4×D4—731no—
1203C2×C4×D4—731no—
1204C2×C4×D4—731no—
1205C2×C4×D4—731no—
1206C2×C4×D4—731no—
1207C2×C4×D4—731no—
1208C2×C4×D4—731no—
1209C2×C4×D4—7316no—
1210C2×C4×D4—731no—
1211C2×C4×D4—731no—
1212C2×C4×D4—731no—
1213C2×C4×D4—731no—
1214C2×C4×D4—731no—
1215C2×C4×D4—731no—
1216C2×C4×D4—731no—
1217C2×C4×D4—731no—
1218C2×C4×D4—731no—
1219C2×C4×D4—731no—
1220C2×C4×D4—731no—
1221C2×C4×D4C2×D7311yescharacteristic, complemented
1222C2×C4×D4C2×D7311yescharacteristic, complemented
1223C2×C4×D4C2×D7311yescharacteristic, complemented
1224C2×C4×D4C2×D7311yescharacteristic, complemented
1225C2×#117—731no—
1226C2×#117—731no—
1227C2×#117—731no—
1228C2×#117—731no—
1229C2×#117—731no—
1230C2×#117—731no—
1231C2×#117—731no—
1232C2×#117—731no—
1233C2×#117C2×D7311yescharacteristic, complemented
1234C22×C4⋊C4—731no—
1235C22×C4⋊C4—731no—
1236C22×C4⋊C4—731no—
1237C22×C4⋊C4—731no—
1238C22×C4⋊C4—731no—
1239C22×C4⋊C4—731no—
1240C22×C22⋊C4—731no—
1241C22×C22⋊C4—731no—
1242C22×C22⋊C4—731no—
1243C22×C22⋊C4—731no—
1244C22×C22⋊C4—731no—
1245C22×C22⋊C4—731no—
1246C22×C22⋊C4—731no—
1247C22×C22⋊C4—731no—
1248C22×C22⋊C4—731no—
1249C22×C22⋊C4—731no—
1250C22×C42—731no—
1251C25—731no—
1252C25—731no—
1253C25—731no—
1254C25C22×D7311yescharacteristic
1255C2×#41—44no—
1256C2×#41—2924no—
1257C2×#41—738no—
1258C2×#41—738no—
1259C2×#41—1468no—
1260C2×#41C22×D7318yescomplemented
1261C22×Q8—731no—
1262C22×Q8—731no—
1263C22×Q8—731no—
1264C22×Q8C22×D7311yescharacteristic
1265C22×D4—2924no—
1266C22×D4—2924no—
1267C22×D4—731no—
1268C22×D4—731no—
1269C22×D4—731no—
1270C22×D4—731no—
1271C22×D4—731no—
1272C22×D4—731no—
1273C22×D4—738no—
1274C22×D4—738no—
1275C22×D4—731no—
1276C22×D4—731no—
1277C22×D4—731no—
1278C22×D4—731no—
1279C22×D4—731no—
1280C22×D4—731no—
1281C22×D4—738no—
1282C22×D4—731no—
1283C22×D4—731no—
1284C22×D4—738no—
1285C22×D4—731no—
1286C22×D4—731no—
1287C22×D4—731no—
1288C22×D4—1468no—
1289C22×D4—1468no—
1290C22×D4C22×D7311yescharacteristic
1291C22×D4C22×D7311yescharacteristic
1292C22×D4C22×D7311yescharacteristic
1293C22×D4C22×D7311yescharacteristic
1294C22×D4C22×D7311yescharacteristic
1295C22×D4C22×D7311yescharacteristic
1296C22×D4C22×D7311yescharacteristic
1297C23×C4—44no—
1298C23×C4—2924no—
1299C23×C4—731no—
1300C23×C4—731no—
1301C23×C4—731no—
1302C23×C4—731no—
1303C23×C4—731no—
1304C23×C4—731no—
1305C23×C4—731no—
1306C23×C4—731no—
1307C23×C4—731no—
1308C23×C4—731no—
1309C23×C4—731no—
1310C23×C4—731no—
1311C23×C4—731no—
1312C23×C4—738no—
1313C23×C4—731no—
1314C23×C4—731no—
1315C23×C4—731no—
1316C23×C4—731no—
1317C23×C4—731no—
1318C23×C4—731no—
1319C23×C4C22×D7311yescharacteristic
1320C23×C4C22×D7311yescharacteristic
1321C23×C4C22×D7311yescharacteristic
1322C23×C4C22×D7311yescharacteristic
1323C23×C4C22×D7311yescharacteristic
1324C23×C4C22×D7311yescharacteristic
1325C23×C4C22×D7311yescharacteristic
1326C23×C4C22×D7311yescharacteristic
1327C23×C4C22×D7318yescomplemented
1328C4⋊Q8—738no—
1329#127—738no—
1330#126—738no—
1331#126—738no—
1332#126—738no—
1333#126—738no—
1334#126—738no—
1335#126—738no—
1336#126—738no—
1337#126—738no—
1338#126—738no—
1339#126—738no—
1340#125—738no—
1341#125—738no—
1342#125—738no—
1343#125—738no—
1344#125—738no—
1345#124—738no—
1346#124—738no—
1347#124—738no—
1348#124—738no—
1349#124—738no—
1350#124—738no—
1351#124—738no—
1352#123—738no—
1353#123—738no—
1354#123—738no—
1355#123—738no—
1356#123—738no—
1357#123—738no—
1358#123—738no—
1359#123—738no—
1360#123—738no—
1361#123—738no—
1362#123—738no—
1363#123—738no—
1364#123—738no—
1365#123—738no—
1366#123—738no—
1367#123—738no—
1368#123—738no—
1369#123—738no—
1370#123—738no—
1371#123—738no—
1372#123—738no—
1373#123—738no—
1374#123—738no—
1375#123—738no—
1376#123C22×D7318yescomplemented
1377#123C22×D7318yescomplemented
1378C22⋊Q8—738no—
1379C22⋊Q8—738no—
1380C22⋊Q8—738no—
1381C22⋊Q8—738no—
1382C22⋊Q8—738no—
1383C22⋊Q8—738no—
1384C22⋊Q8—738no—
1385C22⋊Q8—738no—
1386C22⋊Q8—738no—
1387C22⋊Q8—738no—
1388C22⋊Q8—738no—
1389C22⋊Q8C22×D7318yescomplemented
1390C22⋊Q8C22×D7318yescomplemented
1391#121—738no—
1392#121—738no—
1393#121—738no—
1394#121—738no—
1395#121—738no—
1396#121—738no—
1397#121—738no—
1398#121—738no—
1399#121—738no—
1400#121—738no—
1401#121—738no—
1402#121—738no—
1403#121—738no—
1404#121—738no—
1405#121—738no—
1406#121C22×D7318yescomplemented
1407#121C22×D7318yescomplemented
1408#120—738no—
1409#120—738no—
1410#120—738no—
1411#120—738no—
1412#120—738no—
1413#120—738no—
1414#120C22×D7318yes—
1415#120C22×D7318yescomplemented
1416C4×Q8—738no—
1417C4×Q8—738no—
1418C4×Q8—738no—
1419C4×D4—738no—
1420C4×D4—738no—
1421C4×D4—738no—
1422C4×D4—738no—
1423C4×D4—738no—
1424C4×D4—738no—
1425C4×D4—738no—
1426C4×D4—738no—
1427C4×D4—738no—
1428C4×D4—738no—
1429C4×D4—738no—
1430C4×D4—738no—
1431C4×D4—738no—
1432C4×D4—738no—
1433C4×D4—738no—
1434C4×D4—738no—
1435C4×D4—738no—
1436C4×D4—738no—
1437C4×D4—738no—
1438C4×D4—738no—
1439C4×D4—738no—
1440C4×D4—738no—
1441C4×D4—738no—
1442C4×D4—738no—
1443C4×D4—738no—
1444C4×D4C22×D7318yescomplemented
1445C4×D4C22×D7318yescomplemented
1446C4×D4C22×D7318yescomplemented
1447C4×D4C22×D7318yescomplemented
1448#117—738no—
1449#117—738no—
1450#117—738no—
1451#117—738no—
1452#117—738no—
1453#117—738no—
1454#117—738no—
1455#117—738no—
1456#117C22×D7318yescomplemented
1457C2×C4⋊C4—731no—
1458C2×C4⋊C4—731no—
1459C2×C4⋊C4—731no—
1460C2×C4⋊C4—731no—
1461C2×C4⋊C4—731no—
1462C2×C4⋊C4—731no—
1463C2×C4⋊C4—731no—
1464C2×C4⋊C4—731no—
1465C2×C4⋊C4—731no—
1466C2×C4⋊C4—738no—
1467C2×C4⋊C4—731no—
1468C2×C4⋊C4—731no—
1469C2×C4⋊C4—731no—
1470C2×C4⋊C4—731no—
1471C2×C4⋊C4—738no—
1472C2×C4⋊C4—738no—
1473C2×C4⋊C4—731no—
1474C2×C4⋊C4—731no—
1475C2×C4⋊C4—731no—
1476C2×C4⋊C4—731no—
1477C2×C4⋊C4—738no—
1478C2×C4⋊C4—731no—
1479C2×C4⋊C4—731no—
1480C2×C4⋊C4—731no—
1481C2×C4⋊C4—731no—
1482C2×C4⋊C4—731no—
1483C2×C4⋊C4—731no—
1484C2×C4⋊C4—731no—
1485C2×C4⋊C4—731no—
1486C2×C4⋊C4—731no—
1487C2×C4⋊C4—731no—
1488C2×C4⋊C4—731no—
1489C2×C4⋊C4—731no—
1490C2×C4⋊C4—731no—
1491C2×C4⋊C4—738no—
1492C2×C4⋊C4—738no—
1493C2×C4⋊C4C22×D7311yescharacteristic
1494C2×C4⋊C4C22×D7311yescharacteristic
1495C2×C4⋊C4C22×D7311yescharacteristic
1496C2×C4⋊C4C22×D7311yescharacteristic
1497C2×C4⋊C4C22×D7311yescharacteristic
1498C2×C4⋊C4C22×D7311yescharacteristic
1499C2×C22⋊C4—731no—
1500C2×C22⋊C4—731no—
1501C2×C22⋊C4—731no—
1502C2×C22⋊C4—731no—
1503C2×C22⋊C4—731no—
1504C2×C22⋊C4—731no—
1505C2×C22⋊C4—731no—
1506C2×C22⋊C4—738no—
1507C2×C22⋊C4—731no—
1508C2×C22⋊C4—731no—
1509C2×C22⋊C4—731no—
1510C2×C22⋊C4—738no—
1511C2×C22⋊C4—731no—
1512C2×C22⋊C4—731no—
1513C2×C22⋊C4—731no—
1514C2×C22⋊C4—731no—
1515C2×C22⋊C4—731no—
1516C2×C22⋊C4—731no—
1517C2×C22⋊C4—731no—
1518C2×C22⋊C4—731no—
1519C2×C22⋊C4—731no—
1520C2×C22⋊C4—731no—
1521C2×C22⋊C4—731no—
1522C2×C22⋊C4—731no—
1523C2×C22⋊C4—731no—
1524C2×C22⋊C4—731no—
1525C2×C22⋊C4—731no—
1526C2×C22⋊C4—731no—
1527C2×C22⋊C4—731no—
1528C2×C22⋊C4—738no—
1529C2×C22⋊C4—738no—
1530C2×C22⋊C4—738no—
1531C2×C22⋊C4—731no—
1532C2×C22⋊C4—731no—
1533C2×C22⋊C4—731no—
1534C2×C22⋊C4—731no—
1535C2×C22⋊C4—731no—
1536C2×C22⋊C4—738no—
1537C2×C22⋊C4—731no—
1538C2×C22⋊C4—731no—
1539C2×C22⋊C4—731no—
1540C2×C22⋊C4—731no—
1541C2×C22⋊C4—731no—
1542C2×C22⋊C4—731no—
1543C2×C22⋊C4—738no—
1544C2×C22⋊C4—738no—
1545C2×C22⋊C4—738no—
1546C2×C22⋊C4—738no—
1547C2×C22⋊C4C22×D7311yescharacteristic
1548C2×C22⋊C4C22×D7311yescharacteristic
1549C2×C22⋊C4C22×D7311yescharacteristic
1550C2×C22⋊C4C22×D7311yescharacteristic
1551C2×C22⋊C4C22×D7311yescharacteristic
1552C2×C22⋊C4C22×D7311yescharacteristic
1553C2×C22⋊C4C22×D7311yescharacteristic
1554C2×C22⋊C4C22×D7311yescharacteristic
1555C2×C22⋊C4C22×D7311yescharacteristic
1556C2×C22⋊C4C22×D7311yescharacteristic
1557C2×C42—731no—
1558C2×C42—731no—
1559C2×C42—731no—
1560C2×C42—731no—
1561C2×C42—731no—
1562C2×C42—731no—
1563C2×C42—731no—
1564C2×C42—731no—
1565C2×C42—731no—
1566C2×C42—731no—
1567C2×C42—738no—
1568C2×C42C22×D7311yescharacteristic
1569C2×C42C22×D7311yescharacteristic
1570C24—24no—
1571C24—24no—
1572C24—42no—
1573C24—2922no—
1574C24—2922no—
1575C24—2922no—
1576C24—2922no—
1577C24—2922no—
1578C24—734no—
1579C24—734no—
1580C24—734no—
1581C24—731no—
1582C24—731no—
1583C24—731no—
1584C24—731no—
1585C24—1464no—
1586C24—1464no—
1587C24—1464no—
1588C24—1464no—
1589C24C23×D7311yescharacteristic
1590C24C23×D7311yescharacteristic
1591C24C23×D7311yescharacteristic
1592C24C23×D7314yes—
1593C24C23×D7311yescharacteristic
1594C24C23×D7311yescharacteristic
1595#41—416no—
1596#41—29216no—
1597#41—14632no—
1598C2×Q8—42no—
1599C2×Q8—2922no—
1600C2×Q8—2922no—
1601C2×Q8—734no—
1602C2×Q8—734no—
1603C2×Q8—734no—
1604C2×Q8—1464no—
1605C2×Q8C23×D7314yes—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—24no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—2922no—
1614C2×D4—2922no—
1615C2×D4—29216no—
1616C2×D4—29216no—
1617C2×D4—2922no—
1618C2×D4—2922no—
1619C2×D4—2922no—
1620C2×D4—2922no—
1621C2×D4—2922no—
1622C2×D4—2922no—
1623C2×D4—734no—
1624C2×D4—734no—
1625C2×D4—734no—
1626C2×D4—734no—
1627C2×D4—734no—
1628C2×D4—734no—
1629C2×D4—738no—
1630C2×D4—734no—
1631C2×D4—734no—
1632C2×D4—734no—
1633C2×D4—734no—
1634C2×D4—734no—
1635C2×D4—734no—
1636C2×D4—734no—
1637C2×D4—734no—
1638C2×D4—734no—
1639C2×D4—734no—
1640C2×D4—734no—
1641C2×D4—1464no—
1642C2×D4—1464no—
1643C2×D4—1464no—
1644C2×D4—14632no—
1645C2×D4—14632no—
1646C2×D4—1464no—
1647C2×D4—1464no—
1648C2×D4—1464no—
1649C2×D4—1464no—
1650C2×D4—1464no—
1651C2×D4C23×D7314yes—
1652C2×D4C23×D7314yes—
1653C2×D4C23×D7314yes—
1654C2×D4C23×D7314yes—
1655C2×D4C23×D7314yes—
1656C2×D4C23×D7314yes—
1657C2×D4C23×D7314yes—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—416no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—2922no—
1668C22×C4—2922no—
1669C22×C4—2922no—
1670C22×C4—2922no—
1671C22×C4—29216no—
1672C22×C4—2922no—
1673C22×C4—2922no—
1674C22×C4—2922no—
1675C22×C4—2922no—
1676C22×C4—2922no—
1677C22×C4—2922no—
1678C22×C4—2922no—
1679C22×C4—2922no—
1680C22×C4—2922no—
1681C22×C4—734no—
1682C22×C4—734no—
1683C22×C4—734no—
1684C22×C4—734no—
1685C22×C4—734no—
1686C22×C4—734no—
1687C22×C4—734no—
1688C22×C4—734no—
1689C22×C4—734no—
1690C22×C4—734no—
1691C22×C4—734no—
1692C22×C4—734no—
1693C22×C4—734no—
1694C22×C4—731no—
1695C22×C4—734no—
1696C22×C4—734no—
1697C22×C4—734no—
1698C22×C4—734no—
1699C22×C4—731no—
1700C22×C4—731no—
1701C22×C4—731no—
1702C22×C4—731no—
1703C22×C4—731no—
1704C22×C4—731no—
1705C22×C4—731no—
1706C22×C4—731no—
1707C22×C4—731no—
1708C22×C4—731no—
1709C22×C4—731no—
1710C22×C4—734no—
1711C22×C4—734no—
1712C22×C4—1464no—
1713C22×C4—1464no—
1714C22×C4—1464no—
1715C22×C4—1464no—
1716C22×C4—1464no—
1717C22×C4—1464no—
1718C22×C4C23×D7314yes—
1719C22×C4C23×D7314yes—
1720C22×C4C23×D7311yescharacteristic
1721C22×C4C23×D7311yescharacteristic
1722C22×C4C23×D7311yescharacteristic
1723C22×C4C23×D7311yescharacteristic
1724C22×C4C23×D7311yescharacteristic
1725C22×C4C23×D7311yescharacteristic
1726C22×C4C23×D7311yescharacteristic
1727C22×C4C23×D7311yescharacteristic
1728C22×C4C23×D7311yescharacteristic
1729C22×C4C23×D7311yescharacteristic
1730C22×C4C23×D7314yes—
1731C22×C4C23×D7314yes—
1732C22×C4C23×D7314yes—
1733C22×C4C23×D7314yes—
1734C22×C4C23×D7314yes—
1735C22×C4C23×D7314yes—
1736C4⋊C4—734no—
1737C4⋊C4—734no—
1738C4⋊C4—734no—
1739C4⋊C4—734no—
1740C4⋊C4—734no—
1741C4⋊C4—734no—
1742C4⋊C4—734no—
1743C4⋊C4—734no—
1744C4⋊C4—734no—
1745C4⋊C4—734no—
1746C4⋊C4—734no—
1747C4⋊C4—734no—
1748C4⋊C4—734no—
1749C4⋊C4—734no—
1750C4⋊C4—734no—
1751C4⋊C4—734no—
1752C4⋊C4—734no—
1753C4⋊C4—734no—
1754C4⋊C4—734no—
1755C4⋊C4—734no—
1756C4⋊C4—734no—
1757C4⋊C4—734no—
1758C4⋊C4—734no—
1759C4⋊C4—734no—
1760C4⋊C4—734no—
1761C4⋊C4—734no—
1762C4⋊C4—734no—
1763C4⋊C4—734no—
1764C4⋊C4—734no—
1765C4⋊C4—734no—
1766C4⋊C4C23×D7314yes—
1767C4⋊C4C23×D7314yes—
1768C4⋊C4C23×D7314yes—
1769C4⋊C4C23×D7314yes—
1770C4⋊C4C23×D7314yes—
1771C4⋊C4C23×D7314yes—
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—734no—
1786C22⋊C4—734no—
1787C22⋊C4—734no—
1788C22⋊C4—734no—
1789C22⋊C4—734no—
1790C22⋊C4—734no—
1791C22⋊C4—734no—
1792C22⋊C4—734no—
1793C22⋊C4—734no—
1794C22⋊C4—734no—
1795C22⋊C4—734no—
1796C22⋊C4—734no—
1797C22⋊C4—734no—
1798C22⋊C4—734no—
1799C22⋊C4—734no—
1800C22⋊C4—734no—
1801C22⋊C4—734no—
1802C22⋊C4—734no—
1803C22⋊C4—734no—
1804C22⋊C4—734no—
1805C22⋊C4—734no—
1806C22⋊C4—734no—
1807C22⋊C4—734no—
1808C22⋊C4—734no—
1809C22⋊C4—734no—
1810C22⋊C4C23×D7314yes—
1811C22⋊C4C23×D7314yes—
1812C22⋊C4C23×D7314yes—
1813C22⋊C4C23×D7314yes—
1814C22⋊C4C23×D7314yes—
1815C22⋊C4C23×D7314yes—
1816C22⋊C4C23×D7314yes—
1817C22⋊C4C23×D7314yes—
1818C22⋊C4C23×D7314yes—
1819C22⋊C4C23×D7314yes—
1820C42—734no—
1821C42—734no—
1822C42—734no—
1823C42—734no—
1824C42—734no—
1825C42—734no—
1826C42—734no—
1827C42—734no—
1828C42—734no—
1829C42—734no—
1830C42C23×D7314yes—
1831C42C23×D7314yes—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—28no—
1839C23—22no—
1840C23—28no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—44no—
1848C23—416no—
1849C23—29216no—
1850C23—2924no—
1851C23—2924no—
1852C23—2924no—
1853C23—2924no—
1854C23—2924no—
1855C23—5848no—
1856C23—5848no—
1857C23—734no—
1858C23—732no—
1859C23—732no—
1860C23—732no—
1861C23—732no—
1862C23—1468no—
1863C23—1468no—
1864C23—1462no—
1865C23—1462no—
1866C23—1462no—
1867C23—1468no—
1868C23—1462no—
1869C23—1462no—
1870C23—1462no—
1871C23—1462no—
1872C23—1462no—
1873C23—1462no—
1874C23—1468no—
1875C23—1462no—
1876C23—1462no—
1877C23#41×D7314yes—
1878C23#1455663614yes—
1879C23C24×D7312yes—
1880C23C24×D7312yes—
1881C23C24×D7312yes—
1882C23C24×D7312yes—
1883C23C24×D7312yes—
1884C23C24×D7311yescharacteristic
1885Q8—44no—
1886Q8—2924no—
1887Q8—2924no—
1888Q8—1468no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—28no—
1893D4—44no—
1894D4—44no—
1895D4—44no—
1896D4—2924no—
1897D4—2924no—
1898D4—2924no—
1899D4—2924no—
1900D4—2924no—
1901D4—2924no—
1902D4—2924no—
1903D4—2924no—
1904D4—7316no—
1905D4—1468no—
1906D4—1468no—
1907D4—1468no—
1908D4—1468no—
1909D4—1468no—
1910D4—1468no—
1911D4—1468no—
1912D4—1468no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—28no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—28no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—2924no—
1932C2×C4—2924no—
1933C2×C4—2924no—
1934C2×C4—2924no—
1935C2×C4—2924no—
1936C2×C4—2924no—
1937C2×C4—2924no—
1938C2×C4—2924no—
1939C2×C4—2924no—
1940C2×C4—2924no—
1941C2×C4—2924no—
1942C2×C4—2924no—
1943C2×C4—2924no—
1944C2×C4—734no—
1945C2×C4—732no—
1946C2×C4—732no—
1947C2×C4—732no—
1948C2×C4—732no—
1949C2×C4—732no—
1950C2×C4—732no—
1951C2×C4—732no—
1952C2×C4—732no—
1953C2×C4—732no—
1954C2×C4—732no—
1955C2×C4—732no—
1956C2×C4—732no—
1957C2×C4—1468no—
1958C2×C4—1468no—
1959C2×C4—1468no—
1960C2×C4—1468no—
1961C2×C4—1462no—
1962C2×C4—1462no—
1963C2×C4—1462no—
1964C2×C4—1468no—
1965C2×C4—1462no—
1966C2×C4—1462no—
1967C2×C4—1468no—
1968C2×C4—1462no—
1969C2×C4—1462no—
1970C2×C4—1462no—
1971C2×C4—1462no—
1972C2×C4—1462no—
1973C2×C4—1462no—
1974C2×C4C24×D7312yes—
1975C2×C4C24×D7312yes—
1976C2×C4C24×D7312yes—
1977C2×C4C24×D7312yes—
1978C2×C4C24×D7312yes—
1979C2×C4C24×D7312yes—
1980C2×C4C24×D7312yes—
1981C2×C4C24×D7312yes—
1982C2×C4C24×D7312yes—
1983C2×C4C24×D7312yes—
1984C22—28no—
1985C22—28no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—416no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—29216no—
2004C22—2924no—
2005C22—2924no—
2006C22—2924no—
2007C22—5848no—
2008C22—5848no—
2009C22—734no—
2010C22—1462no—
2011C22—1462no—
2012C22—1462no—
2013C22—1462no—
2014C22—1462no—
2015C22—1462no—
2016C22—1462no—
2017C22—1462no—
2018C22—1462no—
2019C22—1468no—
2020C22—1462no—
2021C22—1462no—
2022C22C2×#41×D7314yes—
2023C22C2×#41×D7312yes—
2024C22C2×#1455663614yes—
2025C22C2×#1455663612yes—
2026C22#1798942312yes—
2027C22C25×D7311yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—734no—
2039C4—1462no—
2040C4—1462no—
2041C4—1462no—
2042C4—1462no—
2043C4—1462no—
2044C4—1462no—
2045C4—1462no—
2046C4—1462no—
2047C4—1462no—
2048C4—1462no—
2049C4—1462no—
2050C2—24no—
2051C2—24no—
2052C2—42no—
2053C2—42no—
2054C2—42no—
2055C2—2922no—
2056C2—2922no—
2057C2—2922no—
2058C2—1464no—
2059C2#2262385714yesdirect product factor
2060C2C22×#41×D7311yescharacteristic
2061C2C22×#1455663611yescharacteristic
2062C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#525×C73C2
socleC23×C73C25
hypercenterC2×#525D73
hypocenterC73C2×#3513
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #22623857C2direct (N × H)
2. C2×#17989320C2semidirect
3. C2×#17989291C2semidirect
4. C2×#17989287C2semidirect
5. C2×#17989286C2semidirect
6. C2×#17989280C2semidirect
7. C2×#17989270C2semidirect
8. C2×#17989268C2semidirect
9. C2×#17989266C2semidirect
10. C2×#17989264C2semidirect
11. C2×#17989261C2semidirect
12. C2×#17989236C2semidirect
13. C2×#17989226C2semidirect
14. C2×#17989225C2semidirect
15. C2×#17989224C2semidirect
16. C2×#17989224C2semidirect
17. C2×#17989219C2semidirect
18. C2×#17989207C2semidirect
19. C2×#17989187C2semidirect
20. C2×#17989183C2semidirect
21. C2×#17989179C2semidirect
22. C2×#17989170C2semidirect
23. C2×#17989169C2semidirect
24. C2×#17989114C2semidirect
25. C2×#17989114C2semidirect
26. C2×#17989095C2semidirect
27. C22×#14556574C2semidirect
28. C2×#123×D73C2semidirect
29. C2×#17989066C2semidirect
30. C2×#17989059C2semidirect
31. C22×C4×C22⋊D73C2semidirect
32. C2×#525×C73C2semidirect
34. C22×#11924027C22semidirect
39. C23×C4×D73C22semidirect
40. #17989320C22semidirect
41. #17989291C22semidirect
42. #17989287C22semidirect
43. #17989286C22semidirect
44. #17989280C22semidirect
45. #17989270C22semidirect
46. #17989268C22semidirect
47. #17989266C22semidirect
48. #17989264C22semidirect
49. #17989261C22semidirect
50. #17989236C22semidirect
51. #17989226C22semidirect
52. #17989225C22semidirect
53. #17989224C22semidirect
54. #17989224C22semidirect
55. #17989219C22semidirect
56. #17989207C22semidirect
57. #17989187C22semidirect
58. #17989183C22semidirect
59. #17989179C22semidirect
60. #17989170C22semidirect
61. #17989169C22semidirect
62. C2×#14556589C22semidirect
64. #17989114C22semidirect
65. #17989114C22semidirect
66. C2×#14556586C22semidirect
67. C2×#14556586C22semidirect
68. C2×#14556586C22semidirect
69. C2×#14556586C22semidirect
70. C2×#14556585C22semidirect
71. C2×#14556585C22semidirect
72. C2×#14556584C22semidirect
73. C2×#14556584C22semidirect
74. C2×#14556584C22semidirect
75. C2×#14556584C22semidirect
76. C2×#14556583C22semidirect
77. C2×#14556581C22semidirect
78. C2×#14556581C22semidirect
79. C2×#14556581C22semidirect
80. C2×#14556581C22semidirect
81. C2×#14556580C22semidirect
82. C2×#14556579C22semidirect
83. C2×#14556578C22semidirect
84. C2×#14556577C22semidirect
85. C2×#14556577C22semidirect
86. C2×#14556577C22semidirect
87. C2×#14556577C22semidirect
88. #17989095C22semidirect
89. C2×#14556576C22semidirect
90. C2×#14556576C22semidirect
91. C2×#14556576C22semidirect
92. C2×#14556576C22semidirect
94. C2×#14556575C22semidirect
97. C2×#14556574C22semidirect
98. C2×#14556574C22semidirect
99. C2×#14556574C22semidirect
100. C2×#14556574C22semidirect
101. C2×#14556574C22semidirect
102. C2×#14556574C22semidirect
103. C2×#14556574C22semidirect
104. C2×#14556574C22semidirect
105. C2×#14556574C22semidirect
106. C2×#14556573C22semidirect
107. C2×#14556573C22semidirect
108. C2×#14556573C22semidirect
109. C2×#14556573C22semidirect
110. C2×#14556572C22semidirect
111. C2×#14556572C22semidirect
112. C2×#14556572C22semidirect
113. C2×#14556572C22semidirect
114. #123×D73C22semidirect
115. C2×#14556570C22semidirect
116. C2×#14556569C22semidirect
117. C2×#14556569C22semidirect
118. C2×#14556569C22semidirect
119. C2×#14556569C22semidirect
120. C2×#14556568C22semidirect
121. C2×#14556568C22semidirect
122. C2×#14556568C22semidirect
123. C2×#14556568C22semidirect
124. C2×#14556567C22semidirect
125. C2×#14556567C22semidirect
126. C2×#14556565C22semidirect
129. C2×#14556564C22semidirect
130. C2×#14556564C22semidirect
134. C2×#14556563C22semidirect
135. C2×#14556563C22semidirect
136. C2×#14556563C22semidirect
137. C2×#14556563C22semidirect
138. C2×#14556563C22semidirect
139. C2×#14556562C22semidirect
140. C2×#14556562C22semidirect
144. C2×#14556559C22semidirect
145. C2×#14556559C22semidirect
146. C2×#14556559C22semidirect
147. #17989066C22semidirect
148. #17989059C22semidirect
149. C2×C4×Dic146C22semidirect
150. C2×#14556556C22semidirect
151. C2×#14556556C22semidirect
152. C2×C4×D292C22semidirect
153. C2×D4×Dic73C22semidirect
154. C2×D4×Dic73C22semidirect
155. C2×D4×Dic73C22semidirect
156. C2×D4×Dic73C22semidirect
157. C2×#14556553C22semidirect
158. C2×#14556553C22semidirect
161. C2×C4×C22⋊D73C22semidirect
162. C2×C4×C22⋊D73C22semidirect
163. C2×C4×C22⋊D73C22semidirect
164. C2×C4×C22⋊D73C22semidirect
165. C2×C4×C22⋊D73C22semidirect
166. C2×C4×C22⋊D73C22semidirect
167. C2×C4×C22⋊D73C22semidirect
168. C2×C4×C22⋊D73C22semidirect
169. C2×C4×C22⋊D73C22semidirect
173. C2×#14556551C22semidirect
174. C2×#14556551C22semidirect
175. C2×#14556551C22semidirect
176. C2×#14556551C22semidirect
177. C2×#14556551C22semidirect
178. C2×#14556549C22semidirect
179. C2×#14556549C22semidirect
180. C2×#14556548C22semidirect
181. C2×#14556548C22semidirect
182. C2×#14556547C22semidirect
183. C2×#14556547C22semidirect
184. C2×#14556547C22semidirect
185. C2×#14556547C22semidirect
186. C22×#11924007C22semidirect
187. C22×#11924007C22semidirect
188. C22×#11924007C22semidirect
189. C22×#11924007C22semidirect
190. C2×C4⋊C4×D73C22semidirect
191. C2×C4⋊C4×D73C22semidirect
192. C22×C22⋊Dic73C22semidirect
193. C22×C22⋊Dic73C22semidirect
194. C22×#11924005C22semidirect
195. C22×#11924005C22semidirect
196. C22×#11924005C22semidirect
197. C22×#11924005C22semidirect
198. C2×C22⋊C4×D73C22semidirect
199. C2×C22⋊C4×D73C22semidirect
200. C2×C22⋊C4×D73C22semidirect
201. C2×C22⋊C4×D73C22semidirect
202. C22×C4×Dic73C22semidirect
203. C22×#41×C73C22semidirect
204. C24×C4×C73C22semidirect
205. #525×C73C22semidirect
206. C2×#123×C73C22semidirect
207. C2×#123×C73C22semidirect
208. C2×C22⋊Q8×C73C22semidirect
209. C2×C22⋊Q8×C73C22semidirect
210. C2×#121×C73C22semidirect
211. C2×#121×C73C22semidirect
213. C2×#120×C73C22semidirect
214. C2×C4×D4×C73C22semidirect
215. C2×C4×D4×C73C22semidirect
216. C2×C4×D4×C73C22semidirect
217. C2×C4×D4×C73C22semidirect
218. C2×#117×C73C22semidirect
225. C2×#11924027C23semidirect
274. C22×C4×D73C23semidirect
275. #14556589C23semidirect
277. #14556586C23semidirect
278. #14556586C23semidirect
279. #14556586C23semidirect
280. #14556586C23semidirect
281. #14556585C23semidirect
282. #14556585C23semidirect
283. #14556584C23semidirect
284. #14556584C23semidirect
285. #14556584C23semidirect
286. #14556584C23semidirect
287. #14556583C23semidirect
288. #14556581C23semidirect
289. #14556581C23semidirect
290. #14556581C23semidirect
291. #14556581C23semidirect
292. #14556580C23semidirect
293. #14556579C23semidirect
294. #14556578C23semidirect
295. #14556577C23semidirect
296. #14556577C23semidirect
297. #14556577C23semidirect
298. #14556577C23semidirect
299. #14556576C23semidirect
300. #14556576C23semidirect
301. #14556576C23semidirect
302. #14556576C23semidirect
304. #14556575C23semidirect
307. #14556574C23semidirect
308. #14556574C23semidirect
309. #14556574C23semidirect
310. #14556574C23semidirect
311. #14556574C23semidirect
312. #14556574C23semidirect
313. #14556574C23semidirect
314. #14556574C23semidirect
315. #14556573C23semidirect
316. #14556573C23semidirect
317. #14556573C23semidirect
318. #14556573C23semidirect
319. #14556572C23semidirect
320. #14556572C23semidirect
321. #14556572C23semidirect
322. #14556572C23semidirect
323. #14556570C23semidirect
324. #14556569C23semidirect
325. #14556569C23semidirect
326. #14556569C23semidirect
327. #14556569C23semidirect
328. #14556568C23semidirect
329. #14556568C23semidirect
330. #14556568C23semidirect
331. #14556568C23semidirect
332. #14556567C23semidirect
333. #14556567C23semidirect
334. #14556565C23semidirect
337. #14556564C23semidirect
338. #14556564C23semidirect
342. #14556563C23semidirect
343. #14556563C23semidirect
344. #14556563C23semidirect
345. #14556563C23semidirect
346. #14556563C23semidirect
347. #14556562C23semidirect
348. #14556562C23semidirect
352. #14556559C23semidirect
353. #14556559C23semidirect
354. #14556559C23semidirect
355. C4×Dic146C23semidirect
356. #14556556C23semidirect
357. #14556556C23semidirect
358. C4×D292C23semidirect
359. D4×Dic73C23semidirect
360. D4×Dic73C23semidirect
361. D4×Dic73C23semidirect
362. D4×Dic73C23semidirect
363. #14556553C23semidirect
364. #14556553C23semidirect
367. C4×C22⋊D73C23semidirect
368. C4×C22⋊D73C23semidirect
369. C4×C22⋊D73C23semidirect
370. C4×C22⋊D73C23semidirect
371. C4×C22⋊D73C23semidirect
372. C4×C22⋊D73C23semidirect
373. C4×C22⋊D73C23semidirect
374. C4×C22⋊D73C23semidirect
378. #14556551C23semidirect
379. #14556551C23semidirect
380. #14556551C23semidirect
381. #14556551C23semidirect
382. #14556551C23semidirect
383. #14556549C23semidirect
384. #14556549C23semidirect
385. #14556548C23semidirect
386. #14556548C23semidirect
387. #14556547C23semidirect
388. #14556547C23semidirect
389. #14556547C23semidirect
390. #14556547C23semidirect
421. C2×#11924007C23semidirect
422. C2×#11924007C23semidirect
423. C2×#11924007C23semidirect
424. C2×#11924007C23semidirect
425. C4⋊C4×D73C23semidirect
426. C4⋊C4×D73C23semidirect
441. C2×C22⋊Dic73C23semidirect
442. C2×C22⋊Dic73C23semidirect
467. C2×#11924005C23semidirect
468. C2×#11924005C23semidirect
469. C2×#11924005C23semidirect
470. C2×#11924005C23semidirect
471. C22⋊C4×D73C23semidirect
472. C22⋊C4×D73C23semidirect
473. C22⋊C4×D73C23semidirect
474. C22⋊C4×D73C23semidirect
485. C2×C4×Dic73C23semidirect
488. C2×#41×C73C23semidirect
506. C23×C4×C73C23semidirect
507. #123×C73C23semidirect
508. #123×C73C23semidirect
509. C22⋊Q8×C73C23semidirect
510. C22⋊Q8×C73C23semidirect
511. #121×C73C23semidirect
512. #121×C73C23semidirect
514. #120×C73C23semidirect
515. C4×D4×C73C23semidirect
516. C4×D4×C73C23semidirect
517. C4×D4×C73C23semidirect
518. C4×D4×C73C23semidirect
519. #117×C73C23semidirect
583. C2×C22⋊D73#41semidirect
902. C22⋊D73C2×#41semidirect
1024. C2×C73#3513semidirect
1058. C2×#525D73semidirect
1064. C73C2×#3513semidirect
1067. C22×#41C2×D73semidirect
1073. C24×C4C2×D73semidirect
1123. #525C2×D73semidirect
1150. C2×#123C2×D73semidirect
1151. C2×#123C2×D73semidirect
1163. C2×C22⋊Q8C2×D73semidirect
1164. C2×C22⋊Q8C2×D73semidirect
1180. C2×#121C2×D73semidirect
1181. C2×#121C2×D73semidirect
1189. C2×#120C2×D73semidirect
1221. C2×C4×D4C2×D73semidirect
1222. C2×C4×D4C2×D73semidirect
1223. C2×C4×D4C2×D73semidirect
1224. C2×C4×D4C2×D73semidirect
1233. C2×#117C2×D73semidirect
1260. C2×#41C22×D73semidirect
1327. C23×C4C22×D73semidirect
1376. #123C22×D73semidirect
1377. #123C22×D73semidirect
1389. C22⋊Q8C22×D73semidirect
1390. C22⋊Q8C22×D73semidirect
1406. #121C22×D73semidirect
1407. #121C22×D73semidirect
1415. #120C22×D73semidirect
1444. C4×D4C22×D73semidirect
1445. C4×D4C22×D73semidirect
1446. C4×D4C22×D73semidirect
1447. C4×D4C22×D73semidirect
1456. #117C22×D73semidirect
2059. C2#22623857direct (N × H)

Maximal subgroups

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

subgroupindex
#226238572
C2×#179893202
C2×#179892912
C2×#179892872
C2×#179892862
C2×#179892802
C2×#179892702
C2×#179892682
C2×#179892662
C2×#179892642
C2×#179892612
C2×#179892362
C2×#179892262
C2×#179892252
C2×#179892242
C2×#179892192
C2×#179892072
C2×#179891872
C2×#179891832
C2×#179891792
C2×#179891702
C2×#179891692
C2×#179891142
C2×#179890952
C22×#145565742
C2×#123×D732
C2×#179890662
C2×#179890592
C22×C4×C22⋊D732
C2×#525×C732
C2×#351373