Finite Group Databasebeta

← #3532×D71 #32904567

Subgroups — #3532×D71 #32904567

Order 18176.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602497C211yesmaximal, characteristic, complemented
2#22602496C213yesmaximal, complemented
3#22602495C213yesmaximal, complemented
4#22602494C213yesmaximal, complemented
5#22602493C213yesmaximal, complemented
6#22602492C213yesmaximal, complemented
7#22602491C216yesmaximal, complemented
8#22602490C213yesmaximal, complemented
9#22602489C216yesmaximal, complemented
10H(3,𝔽4)×D71C211yesmaximal, characteristic, complemented
11#560×D71C213yesmaximal, complemented
12#551×D71C213yesmaximal, complemented
13#546×D71C216yesmaximal, complemented
14D42×D71C213yesmaximal, complemented
15#538×D71C216yesmaximal, complemented
16#535×D71C213yesmaximal, complemented
17#534×D71C213yesmaximal, complemented
18C2×#120×D71C213yesmaximal, complemented
19C71×#3532C211yesmaximal, characteristic, complemented
20C25×D71C2211yescharacteristic, complemented
21C2×#41×D71C2213yescomplemented
22C22×D4×D71C2216yescomplemented
23C22×D4×D71C2213yescomplemented
24C22×D4×D71C2213yescomplemented
25#17986742C2213yescomplemented
26#17986742C2213yescomplemented
27#17986741C2213yescomplemented
28#17986741C2216yescomplemented
29#17986740C2216yescomplemented
30#17986739C2213yescomplemented
31#17986739C2216yescomplemented
32#17986738C2213yescomplemented
33#17986738C2216yescomplemented
34#17986737C2216yescomplemented
35#17986737C2216yescomplemented
36#17986737C2216yescomplemented
37#17986736C2213yescomplemented
38#17986680C2213yescomplemented
39#17986679C2213yescomplemented
40#17986678C2216yescomplemented
41#17986677C2213yescomplemented
42#17986676C2216yescomplemented
43#17986675C2216yescomplemented
44#17986674C2216yescomplemented
45#17986673C2216yescomplemented
46#17986672C2216yescomplemented
47#17986646C2216yescomplemented
48#17986645C2216yescomplemented
49#17986644C2216yescomplemented
50#17986643C2216yescomplemented
51#17986642C2216yescomplemented
52#17986641C2216yescomplemented
53#17986641C2216yescomplemented
54#17986640C2216yescomplemented
55#17986639C2216yescomplemented
56#17986639C2216yescomplemented
57#17986638C2216yescomplemented
58#17986638C2216yescomplemented
59#17986637C2216yescomplemented
60#17986636C2216yescomplemented
61#17986636C2216yescomplemented
62D4×D284C2216yescomplemented
63#17986634C2213yescomplemented
64#17986633C2216yescomplemented
65#17986633C2216yescomplemented
66D4×C22⋊D71C2216yescomplemented
67D4×C22⋊D71C2216yescomplemented
68#17986631C2213yescomplemented
69#17986631C2213yescomplemented
70#17986631C2216yescomplemented
71#17986589C2216yescomplemented
72#17986588C2216yescomplemented
73#17986588C2216yescomplemented
74#17986587C2216yescomplemented
75#17986586C2216yescomplemented
76#17986585C2216yescomplemented
77#17986585C2216yescomplemented
78#17986584C2216yescomplemented
79#17986584C2216yescomplemented
80#17986583C2216yescomplemented
81#17986583C2216yescomplemented
82#17986582C2216yescomplemented
83#17986582C2216yescomplemented
84#17986581C2216yescomplemented
85#17986581C2216yescomplemented
86#17986568C2213yescomplemented
87#17986567C2213yescomplemented
88#17986567C2213yescomplemented
89#17986566C2213yescomplemented
90#17986565C2216yescomplemented
91#17986565C2216yescomplemented
92#17986564C2216yescomplemented
93#17986564C2216yescomplemented
94#17986563C2213yescomplemented
95#17986562C2213yescomplemented
96#17986562C2213yescomplemented
97#17986561C2213yescomplemented
98#17986560C2216yescomplemented
99#17986560C2213yescomplemented
100#17986560C2213yescomplemented
101#17986559C2213yescomplemented
102#17986559C2216yescomplemented
103#17986559C2213yescomplemented
104#17986558C2213yescomplemented
105#17986558C2213yescomplemented
106#17986557C2216yescomplemented
107#17986557C2216yescomplemented
108#127×D71C2213yescomplemented
109#127×D71C2211yescharacteristic, complemented
110#126×D71C2216yescomplemented
111#126×D71C2212yescomplemented
112#124×D71C2216yescomplemented
113#124×D71C2213yescomplemented
114#124×D71C2213yescomplemented
115#123×D71C2216yescomplemented
116#123×D71C2216yescomplemented
117#123×D71C2213yescomplemented
118#123×D71C2213yescomplemented
119C22⋊Q8×D71C2216yescomplemented
120#121×D71C2216yescomplemented
121#121×D71C2216yescomplemented
122#121×D71C2216yescomplemented
123#121×D71C2216yescomplemented
124#121×D71C2216yescomplemented
125C2×#14556098C2216yescomplemented
126C2×#14556098C2213yescomplemented
127C2×#14556097C2213yescomplemented
128C2×#14556096C2216yescomplemented
129C2×#14556096C2213yescomplemented
130#120×D71C2213yes—
131#120×D71C2213yescomplemented
132#120×D71C2216yescomplemented
133#120×D71C2216yescomplemented
134#120×D71C2213yescomplemented
135#120×D71C2213yescomplemented
136#120×D71C2213yescomplemented
137#120×D71C2211yescharacteristic, complemented
138#120×D71C2216yescomplemented
139#120×D71C2213yescomplemented
140#120×D71C2213yescomplemented
141#120×D71C2216yescomplemented
142#120×D71C2213yescomplemented
143#120×D71C2216yescomplemented
144#120×D71C2213yescomplemented
145C4×D4×D71C2216yescomplemented
146C4×D4×D71C2216yescomplemented
147#117×D71C2213yescomplemented
148C2×C22⋊C4×D71C2216yescomplemented
149C2×C22⋊C4×D71C2213yescomplemented
150C2×C22⋊C4×D71C2213yescomplemented
151H(3,𝔽4)×C71C2211yescharacteristic, complemented
152#560×C71C2213yescomplemented
153#551×C71C2213yescomplemented
154#546×C71C2216yescomplemented
155D42×C71C2213yescomplemented
156#538×C71C2216yescomplemented
157#535×C71C2213yescomplemented
158#534×C71C2213yescomplemented
159C2×#120×C71C2213yescomplemented
160C24×D71—412no—
161C24×D71C2313yes—
162C24×D71C2313yes—
163C24×D71C2313yes—
164C24×D71C2311yescharacteristic
165C24×D71C2311yescharacteristic, complemented
166C24×D71C2313yescomplemented
167C24×D71C2313yescomplemented
168C24×D71C2311yescharacteristic, complemented
169C2×#11765866C2313yescomplemented
170C2×#11765865C2313yescomplemented
171C2×#11765865C2316yescomplemented
172C2×#11765864C2316yescomplemented
173C2×#11765864C2313yescomplemented
174#41×D71—412no—
175C2×Q8×D71C2313yescomplemented
176C22×D284C2313yescomplemented
177C22×D284C2316yescomplemented
178C22×D284C2313yescomplemented
179C22×C22⋊D71C2313yescomplemented
180C22×C22⋊D71C2313yescomplemented
181C22×C22⋊D71C2316yescomplemented
182C22×C22⋊D71C2316yescomplemented
183C22×C22⋊D71C2313yescomplemented
184C22×C22⋊D71C2313yescomplemented
185C2×D4×D71—412no—
186C2×D4×D71—424no—
187C2×D4×D71—412no—
188C2×D4×D71C2316yes—
189C2×D4×D71C2316yes—
190C2×D4×D71C2313yes—
191C2×D4×D71C2313yes—
192C2×D4×D71C2316yes—
193C2×D4×D71C2313yes—
194C2×D4×D71C2316yes—
195C2×D4×D71C2313yes—
196C2×D4×D71C2313yescomplemented
197C2×D4×D71C2313yescomplemented
198C2×D4×D71C2313yescomplemented
199C2×D4×D71C2313yescomplemented
200C2×D4×D71C2316yescomplemented
201C2×D4×D71C2316yescomplemented
202C2×D4×D71C2316yescomplemented
203C2×D4×D71C2316yescomplemented
204C2×D4×D71C2316yescomplemented
205C2×D4×D71C2316yescomplemented
206C2×D4×D71C2313yescomplemented
207C2×D4×D71C2316yescomplemented
208C22×C4×D71C2313yes—
209C22×C4×D71C2316yes—
210C22×C4×D71C2313yescomplemented
211C22×C4×D71C2316yescomplemented
212#14556125C2311yescharacteristic, complemented
213#14556125C2313yescomplemented
214#14556124C2313yescomplemented
215#14556124C2316yescomplemented
216#14556124C2313yescomplemented
217#14556124C2313yescomplemented
218#14556124C2313yescomplemented
219#14556124C2316yescomplemented
220#14556123C2316yescomplemented
221#14556123C2316yescomplemented
222#14556123C2316yescomplemented
223#14556123C2316yescomplemented
224#14556122C2312yescomplemented
225#14556122C2316yescomplemented
226#14556121C2316yescomplemented
227#14556121C2316yescomplemented
228#14556121C2316yescomplemented
229#14556121C2316yescomplemented
230#14556117C2313yescomplemented
231#14556117C2313yescomplemented
232#14556117C2316yescomplemented
233#14556116C2313yescomplemented
234#14556116C2313yescomplemented
235#14556116C2316yescomplemented
236#14556115C2313yescomplemented
237#14556115C2313yescomplemented
238#14556115C2316yescomplemented
239#14556114C2316yescomplemented
240#14556114C2316yescomplemented
241#14556114C2316yescomplemented
242#14556114C2316yescomplemented
243#14556114C2316yescomplemented
244#14556114C2316yescomplemented
245#14556114C2316yescomplemented
246#14556114C2316yescomplemented
247#14556113C2316yescomplemented
248#14556113C2316yescomplemented
249#14556113C2316yescomplemented
250#14556113C2316yescomplemented
251#14556113C2316yescomplemented
252#14556113C2316yescomplemented
253#14556112C2316yescomplemented
254#14556112C2313yescomplemented
255#14556112C2313yescomplemented
256#14556112C2316yescomplemented
257#14556111C2316yescomplemented
258#14556111C2313yescomplemented
259#14556111C2313yescomplemented
260#14556111C2316yescomplemented
261#14556110C2316yescomplemented
262#14556110C2316yescomplemented
263#14556110C2316yescomplemented
264#14556110C2316yescomplemented
265#14556110C2316yescomplemented
266#14556110C2316yescomplemented
267#14556109C2313yescomplemented
268#14556109C2316yescomplemented
269#14556109C2313yescomplemented
270#14556109C2316yescomplemented
271#14556108C2316yescomplemented
272#14556107C2316yescomplemented
273#14556106C2316yescomplemented
274#14556106C2316yescomplemented
275#14556105C2316yescomplemented
276#14556105C2316yescomplemented
277#14556104C2316yescomplemented
278#14556103C2316yescomplemented
279#14556103C2316yescomplemented
280#14556103C2316yescomplemented
281#14556103C2316yescomplemented
282#14556103C2316yescomplemented
283#14556102C2316yescomplemented
284#14556102C2316yescomplemented
285#14556102C2316yescomplemented
286#14556102C2316yescomplemented
287#14556102C2316yescomplemented
288#14556101C2316yescomplemented
289#14556101C2316yescomplemented
290#14556101C2316yescomplemented
291#14556101C2316yescomplemented
292#14556101C2316yescomplemented
293#14556101C2316yescomplemented
294#14556101C2316yescomplemented
295#14556101C2316yescomplemented
296#14556101C2316yescomplemented
297#14556101C2316yescomplemented
298#14556100C2316yescomplemented
299#14556100C2316yescomplemented
300#14556100C2316yescomplemented
301#14556100C2316yescomplemented
302#14556100C2316yescomplemented
303#14556100C2316yescomplemented
304#14556100C2316yescomplemented
305#14556100C2316yescomplemented
306#14556100C2316yescomplemented
307#14556100C2316yescomplemented
308#14556099C2316yescomplemented
309#14556099C2316yescomplemented
310#14556099C2316yescomplemented
311#14556099C2316yescomplemented
312#14556099C2316yescomplemented
313#14556098C2316yes—
314#14556098C2313yes—
315#14556098C2316yescomplemented
316#14556098C2316yescomplemented
317#14556098C2316yescomplemented
318#14556098C2316yescomplemented
319#14556098C2316yescomplemented
320#14556098C2316yescomplemented
321#14556098C2316yescomplemented
322#14556098C2313yescomplemented
323#14556098C2313yescomplemented
324#14556098C2316yescomplemented
325#14556098C2316yescomplemented
326#14556098C2313yescomplemented
327#14556098C2316yescomplemented
328#14556098C2316yescomplemented
329#14556098C2316yescomplemented
330#14556098C2313yescomplemented
331#14556098C2313yescomplemented
332#14556098C2316yescomplemented
333#14556097C2313yes—
334#14556097C2316yescomplemented
335#14556097C2316yescomplemented
336#14556097C2313yescomplemented
337#14556097C2313yescomplemented
338#14556097C2313yescomplemented
339#14556097C2316yescomplemented
340#14556097C2313yescomplemented
341#14556097C2311yescharacteristic, complemented
342#14556096C2313yes—
343#14556096C2316yes—
344#14556096C2316yescomplemented
345#14556096C2316yescomplemented
346#14556096C2316yescomplemented
347#14556096C2316yescomplemented
348#14556096C2316yescomplemented
349#14556096C2316yescomplemented
350#14556096C2316yescomplemented
351#14556096C2313yescomplemented
352#14556096C2316yescomplemented
353#14556096C2313yescomplemented
354#14556096C2313yescomplemented
355#14556096C2316yescomplemented
356#14556096C2316yescomplemented
357#14556096C2313yescomplemented
358#14556096C2313yescomplemented
359#14556096C2316yescomplemented
360#14556096C2316yescomplemented
361#14556096C2316yescomplemented
362C4×D284C2316yescomplemented
363C4×D284C2316yescomplemented
364D4×Dic71C2316yescomplemented
365D4×Dic71C2316yescomplemented
366#14556090C2316yescomplemented
367#14556090C2316yescomplemented
368C4×C22⋊D71C2316yescomplemented
369C4×C22⋊D71C2316yescomplemented
370C4×C22⋊D71C2316yescomplemented
371C4×C22⋊D71C2316yescomplemented
372(C22⋊D71)⋊C4C2316yescomplemented
373(C22⋊D71)⋊C4C2316yescomplemented
374(C22⋊D71)⋊C4C2316yescomplemented
375(C22⋊D71)⋊C4C2316yescomplemented
376#14556087C2313yescomplemented
377#14556086C2316yescomplemented
378#14556085C2313yescomplemented
379#14556085C2313yescomplemented
380#14556084C2316yescomplemented
381C4⋊C4×D71C2316yescomplemented
382C4⋊C4×D71C2316yescomplemented
383C4⋊C4×D71C2316yescomplemented
384C2×C22⋊Dic71C2313yescomplemented
385C2×C22⋊Dic71C2316yescomplemented
386C2×C22⋊Dic71C2313yescomplemented
387C2×(C2×D71)⋊C4C2316yescomplemented
388C2×(C2×D71)⋊C4C2316yescomplemented
389C2×(C2×D71)⋊C4C2316yescomplemented
390C2×(C2×D71)⋊C4C2316yescomplemented
391C22⋊C4×D71C2316yes—
392C22⋊C4×D71C2316yes—
393C22⋊C4×D71C2313yes—
394C22⋊C4×D71C2316yes—
395C22⋊C4×D71C2316yes—
396C22⋊C4×D71C2316yes—
397C22⋊C4×D71C2313yes—
398C22⋊C4×D71C2313yescomplemented
399C22⋊C4×D71C2316yescomplemented
400C22⋊C4×D71C2313yescomplemented
401C22⋊C4×D71C2316yescomplemented
402C22⋊C4×D71C2316yescomplemented
403C22⋊C4×D71C2316yescomplemented
404C22⋊C4×D71C2316yescomplemented
405C22⋊C4×D71C2316yescomplemented
406C22⋊C4×D71C2313yescomplemented
407C22⋊C4×D71C2313yescomplemented
408C22⋊C4×D71C2313yescomplemented
409C22⋊C4×D71C2313yescomplemented
410C22⋊C4×D71C2316yescomplemented
411C22⋊C4×D71C2316yescomplemented
412C42×D71C2311yescharacteristic, complemented
413C42×D71C2313yescomplemented
414C42×D71C2312yescomplemented
415C25×C71C2311yescharacteristic, complemented
416C2×#41×C71C2313yescomplemented
417C22×D4×C71C2313yescomplemented
418C22×D4×C71C2316yescomplemented
419C22×D4×C71C2313yescomplemented
420#127×C71C2311yescharacteristic, complemented
421#127×C71C2313yescomplemented
422#126×C71C2312yescomplemented
423#126×C71C2316yescomplemented
424#124×C71C2313yescomplemented
425#124×C71C2313yescomplemented
426#124×C71C2316yescomplemented
427#123×C71C2313yescomplemented
428#123×C71C2313yescomplemented
429#123×C71C2316yescomplemented
430#123×C71C2316yescomplemented
431C22⋊Q8×C71C2316yescomplemented
432#121×C71C2316yescomplemented
433#121×C71C2316yescomplemented
434#121×C71C2316yescomplemented
435#121×C71C2316yescomplemented
436#121×C71C2316yescomplemented
437#120×C71C2313yes—
438#120×C71C2316yescomplemented
439#120×C71C2316yescomplemented
440#120×C71C2313yescomplemented
441#120×C71C2313yescomplemented
442#120×C71C2313yescomplemented
443#120×C71C2316yescomplemented
444#120×C71C2313yescomplemented
445#120×C71C2311yescharacteristic, complemented
446C4×D4×C71C2316yescomplemented
447C4×D4×C71C2316yescomplemented
448#117×C71C2313yescomplemented
449C2×C22⋊C4×C71C2313yescomplemented
450C2×C22⋊C4×C71C2316yescomplemented
451C2×C22⋊C4×C71C2313yescomplemented
452C23×D71—224no—
453C23×D71—212no—
454C23×D71—212no—
455C23×D71—46no—
456C23×D71—412no—
457C23×D71—46no—
458C23×D71—46no—
459C23×D71—412no—
460C23×D71—46no—
461C23×D71—412no—
462C23×D71—46no—
463C23×D71—46no—
464C23×D71—412no—
465C23×D71—464no—
466C23×D71C2413yes—
467C23×D71C2413yes—
468C23×D71C2413yes—
469C23×D71C2411yescharacteristic
470C23×D71C2413yes—
471C23×D71C2416yes—
472C23×D71C2413yes—
473C23×D71C2413yes—
474C23×D71C2413yes—
475C23×D71C2413yes—
476C23×D71C2413yes—
477C23×D71C2413yes—
478C23×D71C2413yes—
479C23×D71C2413yes—
480C23×D71C2413yescomplemented
481#11765866—46no—
482#11765865—412no—
483#11765865—46no—
484#11765864—46no—
485#11765864—412no—
486C2×Dic142C2413yescomplemented
487C2×Dic142C2416yescomplemented
488Q8×D71—46no—
489C2×D284—46no—
490C2×D284—412no—
491C2×D284—46no—
492C2×D284C2416yes—
493C2×D284C2416yes—
494C2×D284C2413yes—
495C2×D284C2416yes—
496C2×D284C2413yes—
497C2×D284C2413yes—
498C2×D284C2413yes—
499C2×D284C2416yes—
500C2×D284C2416yescomplemented
501C2×D284C2413yescomplemented
502C2×C22⋊D71—46no—
503C2×C22⋊D71—46no—
504C2×C22⋊D71—412no—
505C2×C22⋊D71—46no—
506C2×C22⋊D71—412no—
507C2×C22⋊D71—46no—
508C2×C22⋊D71C2416yes—
509C2×C22⋊D71C2416yes—
510C2×C22⋊D71C2416yes—
511C2×C22⋊D71C2416yes—
512C2×C22⋊D71C2413yes—
513C2×C22⋊D71C2413yes—
514C2×C22⋊D71C2416yes—
515C2×C22⋊D71C2413yes—
516C2×C22⋊D71C2416yes—
517C2×C22⋊D71C2413yes—
518C2×C22⋊D71C2413yes—
519C2×C22⋊D71C2416yes—
520C2×C22⋊D71C2413yes—
521C2×C22⋊D71C2413yes—
522C2×C22⋊D71C2413yes—
523C2×C22⋊D71C2416yes—
524C2×C22⋊D71C2416yescomplemented
525C2×C22⋊D71C2416yescomplemented
526C2×C22⋊D71C2416yescomplemented
527D4×D71—224no—
528D4×D71—224no—
529D4×D71—46no—
530D4×D71—46no—
531D4×D71—46no—
532D4×D71—46no—
533D4×D71—412no—
534D4×D71—412no—
535D4×D71—46no—
536D4×D71—46no—
537D4×D71—46no—
538D4×D71—46no—
539D4×D71—412no—
540D4×D71—46no—
541D4×D71—412no—
542D4×D71—412no—
543D4×D71—412no—
544D4×D71—412no—
545D4×D71—412no—
546D4×D71—412no—
547C22×Dic71C2413yes—
548C22×Dic71C2416yes—
549C22×Dic71C2413yescomplemented
550C22×Dic71C2416yescomplemented
551C2×C4×D71—212no—
552C2×C4×D71—412no—
553C2×C4×D71—46no—
554C2×C4×D71—412no—
555C2×C4×D71C2413yes—
556C2×C4×D71C2416yes—
557C2×C4×D71C2416yes—
558C2×C4×D71C2413yes—
559C2×C4×D71C2413yes—
560C2×C4×D71C2413yes—
561C2×C4×D71C2416yes—
562C2×C4×D71C2416yes—
563C2×C4×D71C2416yescomplemented
564C2×C4×D71C2416yescomplemented
565C2×C4×D71C2416yescomplemented
566C4⋊Dic71C2416yescomplemented
567C4⋊Dic71C2416yescomplemented
568C4⋊Dic71C2416yescomplemented
569Dic71⋊C4C2416yescomplemented
570Dic71⋊C4C2416yescomplemented
571Dic71⋊C4C2416yescomplemented
572Dic71⋊C4C2416yescomplemented
573Dic71⋊C4C2416yescomplemented
574Dic71⋊C4C2416yescomplemented
575C22⋊Dic71C2416yes—
576C22⋊Dic71C2416yes—
577C22⋊Dic71C2413yes—
578C22⋊Dic71C2416yes—
579C22⋊Dic71C2416yes—
580C22⋊Dic71C2416yes—
581C22⋊Dic71C2413yes—
582C22⋊Dic71C2413yescomplemented
583C22⋊Dic71C2413yescomplemented
584C22⋊Dic71C2416yescomplemented
585C22⋊Dic71C2416yescomplemented
586(C2×D71)⋊C4C2416yes—
587(C2×D71)⋊C4C2416yes—
588(C2×D71)⋊C4C2416yes—
589(C2×D71)⋊C4C2416yes—
590(C2×D71)⋊C4C2416yes—
591(C2×D71)⋊C4C2416yes—
592(C2×D71)⋊C4C2416yes—
593(C2×D71)⋊C4C2416yes—
594(C2×D71)⋊C4C2416yes—
595(C2×D71)⋊C4C2416yes—
596(C2×D71)⋊C4C2416yes—
597(C2×D71)⋊C4C2416yes—
598(C2×D71)⋊C4C2416yescomplemented
599(C2×D71)⋊C4C2416yescomplemented
600(C2×D71)⋊C4C2416yescomplemented
601(C2×D71)⋊C4C2416yescomplemented
602(C2×D71)⋊C4C2416yescomplemented
603(C2×D71)⋊C4C2416yescomplemented
604C4×Dic71C2413yescomplemented
605C4×Dic71C2416yescomplemented
606C4×Dic71C2413yescomplemented
607C4×Dic71C2416yescomplemented
608C24×C71—46no—
609C24×C71C2413yes—
610C24×C71C2413yes—
611C24×C71C2413yes—
612C24×C71C2411yescharacteristic
613C24×C71C2411yescharacteristic, complemented
614#41×C71—46no—
615C2×Q8×C71C2413yescomplemented
616C2×D4×C71—46no—
617C2×D4×C71—412no—
618C2×D4×C71—46no—
619C2×D4×C71C2416yes—
620C2×D4×C71C2416yes—
621C2×D4×C71C2413yes—
622C2×D4×C71C2413yes—
623C2×D4×C71C2416yes—
624C2×D4×C71C2413yes—
625C2×D4×C71C2416yes—
626C2×D4×C71C2413yes—
627C2×D4×C71C2416yescomplemented
628C2×D4×C71C2413yescomplemented
629C22×C4×C71C2413yes—
630C22×C4×C71C2416yes—
631C22×C4×C71C2413yescomplemented
632C22×C4×C71C2416yescomplemented
633C4⋊C4×C71C2416yescomplemented
634C4⋊C4×C71C2416yescomplemented
635C4⋊C4×C71C2416yescomplemented
636C22⋊C4×C71C2416yes—
637C22⋊C4×C71C2416yes—
638C22⋊C4×C71C2413yes—
639C22⋊C4×C71C2416yes—
640C22⋊C4×C71C2416yes—
641C22⋊C4×C71C2416yes—
642C22⋊C4×C71C2413yes—
643C22⋊C4×C71C2413yescomplemented
644C22⋊C4×C71C2413yescomplemented
645C22⋊C4×C71C2416yescomplemented
646C22⋊C4×C71C2416yescomplemented
647C42×C71C2411yescharacteristic, complemented
648C42×C71C2413yescomplemented
649C42×C71C2412yescomplemented
650C23×C71—212no—
651C23×C71—26no—
652C23×C71—26no—
653C23×C71—43no—
654C23×C71—46no—
655C23×C71—43no—
656C23×C71—46no—
657C23×C71—43no—
658C23×C71—416no—
659C23×C71C2513yes—
660C23×C71C2511yescharacteristic
661C23×C71C2513yes—
662C23×C71C2513yes—
663C23×C71C2513yes—
664C22×D71—212no—
665C22×D71—212no—
666C22×D71—26no—
667C22×D71—26no—
668C22×D71—212no—
669C22×D71—26no—
670C22×D71—212no—
671C22×D71—26no—
672C22×D71—212no—
673C22×D71—26no—
674C22×D71—26no—
675C22×D71—212no—
676C22×D71—26no—
677C22×D71—26no—
678C22×D71—212no—
679C22×D71—26no—
680C22×D71—26no—
681C22×D71—43no—
682C22×D71—46no—
683C22×D71—46no—
684C22×D71—46no—
685C22×D71—46no—
686C22×D71—43no—
687C22×D71—46no—
688C22×D71—448no—
689C22×D71—46no—
690C22×D71—46no—
691C22×D71—46no—
692C22×D71—46no—
693C22×D71—43no—
694C22×D71—448no—
695C22×D71—416no—
696C22×D71—448no—
697C22×D71—448no—
698C22×D71—416no—
699C22×D71—824no—
700C22×D71—88no—
701C22×D71H(5,𝔽2)112yes—
702C22×D71C2513yes—
703C22×D71C2511yescharacteristic
704C22×D71C2513yes—
705C22×D71C2513yes—
706C22×D71C2513yes—
707C22×D71C2511yescharacteristic
708Q8×C71—43no—
709D4×C71—212no—
710D4×C71—212no—
711D4×C71—43no—
712D4×C71—43no—
713D4×C71—46no—
714D4×C71—43no—
715D4×C71—43no—
716D4×C71—46no—
717D4×C71—46no—
718D4×C71—43no—
719C2×C4×C71—26no—
720C2×C4×C71—46no—
721C2×C4×C71—43no—
722C2×C4×C71—46no—
723C2×C4×C71C2513yes—
724C2×C4×C71C2516yes—
725C2×C4×C71C2516yes—
726C2×C4×C71C2513yes—
727C22⋊D71—212no—
728C22⋊D71—212no—
729C22⋊D71—212no—
730C22⋊D71—212no—
731C22⋊D71—43no—
732C22⋊D71—43no—
733C22⋊D71—43no—
734C22⋊D71—43no—
735C22⋊D71—46no—
736C22⋊D71—46no—
737C22⋊D71—43no—
738C22⋊D71—43no—
739C22⋊D71—43no—
740C22⋊D71—43no—
741C22⋊D71—46no—
742C22⋊D71—46no—
743C22⋊D71—46no—
744C22⋊D71—46no—
745C22⋊D71—46no—
746C2×Dic71—26no—
747C2×Dic71—46no—
748C2×Dic71—43no—
749C2×Dic71—46no—
750C2×Dic71C2513yes—
751C2×Dic71C2516yes—
752C2×Dic71C2516yes—
753C2×Dic71C2513yes—
754D284—212no—
755D284—212no—
756D284—43no—
757D284—43no—
758D284—46no—
759D284—43no—
760D284—43no—
761D284—46no—
762D284—46no—
763D284—43no—
764C4×D71—26no—
765C4×D71—26no—
766C4×D71—26no—
767C4×D71—26no—
768C4×D71—212no—
769C4×D71—212no—
770C4×D71—46no—
771C4×D71—46no—
772C4×D71—46no—
773C4×D71—46no—
774C4×D71—46no—
775Dic142—46no—
776Dic142—43no—
777C22×C71—26no—
778C22×C71—26no—
779C22×C71—23no—
780C22×C71—26no—
781C22×C71—23no—
782C22×C71—23no—
783C22×C71—26no—
784C22×C71—23no—
785C22×C71—412no—
786C22×C71—412no—
787C22×C71—44no—
788C22×C71—86no—
789C22×C71—82no—
790C22×C71C2×H(5,𝔽2)16yes—
791C22×C71C2611yescharacteristic
792C2×D71—26no—
793C2×D71—224no—
794C2×D71—26no—
795C2×D71—23no—
796C2×D71—26no—
797C2×D71—23no—
798C2×D71—26no—
799C2×D71—23no—
800C2×D71—23no—
801C2×D71—412no—
802C2×D71—424no—
803C2×D71—412no—
804C2×D71—412no—
805C2×D71—412no—
806C2×D71—412no—
807C2×D71—412no—
808C2×D71—44no—
809C2×D71—412no—
810C2×D71—412no—
811C2×D71—86no—
812C2×D71—86no—
813C2×D71—86no—
814C2×D71—86no—
815C2×D71C2×H(5,𝔽2)16yes—
816C2×D71C2×H(5,𝔽2)16yes—
817C4×C71—23no—
818C4×C71—26no—
819C4×C71—23no—
820C4×C71—26no—
821Dic71—23no—
822Dic71—26no—
823Dic71—23no—
824Dic71—26no—
825C2×#3532—711nomaximal, Sylow
826C2×C71—26no—
827C2×C71—43no—
828C2×C71—41no—
829C2×C71—43no—
830C2×C71—43no—
831C2×C71C22×H(5,𝔽2)13yes—
832D71—26no—
833D71—43no—
834D71—41no—
835D71—43no—
836D71—43no—
837D71#353214yesdirect product factor
838#3532—711no—
839#3532—713no—
840#3532—713no—
841#3532—716no—
842#3532—713no—
843#3532—716no—
844#3532—713no—
845#3532—713no—
846#3532—713no—
847#3532D7111yescharacteristic, direct product factor
848C2×H(3,𝔽4)—711no—
849C2×#560—713no—
850C2×#551—713no—
851C2×#546—716no—
852C2×D42—713no—
853C2×#538—716no—
854C2×#535—713no—
855C2×#534—713no—
856C22×#120—713no—
857C71C2×#353211yescharacteristic, complemented, Sylow
858C26—711no—
859C22×#41—713no—
860C23×D4—713no—
861C23×D4—716no—
862C23×D4—713no—
863H(3,𝔽4)—716no—
864H(3,𝔽4)—713no—
865H(3,𝔽4)—713no—
866H(3,𝔽4)—713no—
867H(3,𝔽4)C2×D7111yescharacteristic, complemented
868#560—713no—
869#560—716no—
870#560—716no—
871#560—713no—
872#560—716no—
873#560—716no—
874#560—716no—
875#560—713no—
876#560—716no—
877#560C2×D7113yescomplemented
878#551—716no—
879#551—713no—
880#551—716no—
881#551—713no—
882#551—716no—
883#551—713no—
884#551—716no—
885#551—716no—
886#551—716no—
887#551C2×D7113yescomplemented
888#546—716no—
889#546—716no—
890#546—716no—
891#546—716no—
892#546—716no—
893#546—716no—
894#546—716no—
895#546—716no—
896#546—716no—
897#546—716no—
898#546—716no—
899#546—716no—
900#546—716no—
901#546—716no—
902#546—716no—
903#546C2×D7116yescomplemented
904D42—716no—
905D42—716no—
906D42—713no—
907D42—716no—
908D42—716no—
909D42—713no—
910D42—716no—
911D42—713no—
912D42—716no—
913D42C2×D7113yescomplemented
914#538—716no—
915#538—716no—
916#538—716no—
917#538—716no—
918#538—716no—
919#538—716no—
920#538—716no—
921#538—716no—
922#538—716no—
923#538—716no—
924#538—716no—
925#538—716no—
926#538—716no—
927#538—716no—
928#538—716no—
929#538C2×D7116yescomplemented
930#535—713no—
931#535—713no—
932#535—713no—
933#535—713no—
934#535—713no—
935#535—713no—
936#535—716no—
937#535—716no—
938#535—716no—
939#535—716no—
940#535—713no—
941#535C2×D7113yescomplemented
942#534—713no—
943#534—713no—
944#534—716no—
945#534—713no—
946#534—713no—
947#534—716no—
948#534—716no—
949#534—716no—
950#534—713no—
951#534—713no—
952#534—713no—
953#534C2×D7113yescomplemented
954C2×#127—711no—
955C2×#127—713no—
956C2×#126—712no—
957C2×#126—716no—
958C2×#124—713no—
959C2×#124—713no—
960C2×#124—716no—
961C2×#123—713no—
962C2×#123—716no—
963C2×#123—713no—
964C2×#123—716no—
965C2×C22⋊Q8—716no—
966C2×#121—716no—
967C2×#121—716no—
968C2×#121—716no—
969C2×#121—716no—
970C2×#121—716no—
971C2×#120—713no—
972C2×#120—713no—
973C2×#120—716no—
974C2×#120—713no—
975C2×#120—713no—
976C2×#120—716no—
977C2×#120—716no—
978C2×#120—713no—
979C2×#120—713no—
980C2×#120—713no—
981C2×#120—716no—
982C2×#120—716no—
983C2×#120—713no—
984C2×#120—713no—
985C2×#120—713no—
986C2×#120—711no—
987C2×#120—713no—
988C2×#120—716no—
989C2×#120—716no—
990C2×#120—713no—
991C2×#120C2×D7113yescomplemented
992C2×C4×D4—716no—
993C2×C4×D4—716no—
994C2×#117—713no—
995C22×C22⋊C4—713no—
996C22×C22⋊C4—716no—
997C22×C22⋊C4—713no—
998C25—28412no—
999C25—711no—
1000C25—713no—
1001C25—713no—
1002C25—711no—
1003C25—711no—
1004C25—713no—
1005C25—713no—
1006C25—713no—
1007C25C22×D7111yescharacteristic, complemented
1008C2×#41—28412no—
1009C2×#41—713no—
1010C2×#41—716no—
1011C2×#41—713no—
1012C2×#41—713no—
1013C2×#41—716no—
1014C2×#41C22×D7113yescomplemented
1015C22×Q8—713no—
1016C22×D4—28412no—
1017C22×D4—28424no—
1018C22×D4—28412no—
1019C22×D4—713no—
1020C22×D4—713no—
1021C22×D4—716no—
1022C22×D4—716no—
1023C22×D4—713no—
1024C22×D4—713no—
1025C22×D4—713no—
1026C22×D4—716no—
1027C22×D4—713no—
1028C22×D4—713no—
1029C22×D4—716no—
1030C22×D4—713no—
1031C22×D4—713no—
1032C22×D4—713no—
1033C22×D4—713no—
1034C22×D4—713no—
1035C22×D4—716no—
1036C22×D4—716no—
1037C22×D4—716no—
1038C22×D4—716no—
1039C22×D4—716no—
1040C22×D4—713no—
1041C22×D4—716no—
1042C22×D4—716no—
1043C22×D4—716no—
1044C22×D4—716no—
1045C22×D4—713no—
1046C22×D4—716no—
1047C22×D4—713no—
1048C22×D4C22×D7113yescomplemented
1049C22×D4C22×D7116yescomplemented
1050C22×D4C22×D7113yescomplemented
1051C23×C4—716no—
1052C23×C4—716no—
1053C23×C4—713no—
1054C23×C4—713no—
1055#127—713no—
1056#127—716no—
1057#127—713no—
1058#127—713no—
1059#127—716no—
1060#127—713no—
1061#127—711no—
1062#127—713no—
1063#127C22×D7111yescharacteristic, complemented
1064#127C22×D7113yescomplemented
1065#126—716no—
1066#126—716no—
1067#126—716no—
1068#126—716no—
1069#126—716no—
1070#126—716no—
1071#126—716no—
1072#126—716no—
1073#126—712no—
1074#126—716no—
1075#126C22×D7112yescomplemented
1076#126C22×D7116yescomplemented
1077#124—713no—
1078#124—713no—
1079#124—716no—
1080#124—713no—
1081#124—713no—
1082#124—716no—
1083#124—716no—
1084#124—716no—
1085#124—716no—
1086#124—716no—
1087#124—716no—
1088#124—716no—
1089#124—716no—
1090#124—716no—
1091#124—713no—
1092#124—713no—
1093#124—716no—
1094#124C22×D7113yescomplemented
1095#124C22×D7113yescomplemented
1096#124C22×D7116yescomplemented
1097#123—713no—
1098#123—716no—
1099#123—713no—
1100#123—716no—
1101#123—716no—
1102#123—713no—
1103#123—713no—
1104#123—716no—
1105#123—716no—
1106#123—716no—
1107#123—716no—
1108#123—716no—
1109#123—716no—
1110#123—716no—
1111#123—716no—
1112#123—716no—
1113#123—716no—
1114#123—716no—
1115#123—716no—
1116#123—713no—
1117#123—716no—
1118#123—716no—
1119#123—713no—
1120#123—716no—
1121#123C22×D7113yescomplemented
1122#123C22×D7113yescomplemented
1123#123C22×D7116yescomplemented
1124#123C22×D7116yescomplemented
1125C22⋊Q8—716no—
1126C22⋊Q8—716no—
1127C22⋊Q8—716no—
1128C22⋊Q8—716no—
1129C22⋊Q8—716no—
1130C22⋊Q8—716no—
1131C22⋊Q8—716no—
1132C22⋊Q8C22×D7116yescomplemented
1133#121—716no—
1134#121—716no—
1135#121—716no—
1136#121—716no—
1137#121—716no—
1138#121—716no—
1139#121—716no—
1140#121—716no—
1141#121—716no—
1142#121—716no—
1143#121—716no—
1144#121—716no—
1145#121—716no—
1146#121—716no—
1147#121—716no—
1148#121—716no—
1149#121—716no—
1150#121—716no—
1151#121—716no—
1152#121—716no—
1153#121—716no—
1154#121—716no—
1155#121—716no—
1156#121—716no—
1157#121—716no—
1158#121—716no—
1159#121—716no—
1160#121—716no—
1161#121—716no—
1162#121—716no—
1163#121—716no—
1164#121—716no—
1165#121—716no—
1166#121—716no—
1167#121—716no—
1168#121C22×D7116yescomplemented
1169#121C22×D7116yescomplemented
1170#121C22×D7116yescomplemented
1171#121C22×D7116yescomplemented
1172#121C22×D7116yescomplemented
1173#120—716no—
1174#120—716no—
1175#120—713no—
1176#120—713no—
1177#120—713no—
1178#120—713no—
1179#120—716no—
1180#120—711no—
1181#120—713no—
1182#120—716no—
1183#120—716no—
1184#120—716no—
1185#120—716no—
1186#120—716no—
1187#120—716no—
1188#120—716no—
1189#120—713no—
1190#120—716no—
1191#120—713no—
1192#120—713no—
1193#120—716no—
1194#120—716no—
1195#120—713no—
1196#120—713no—
1197#120—713no—
1198#120—716no—
1199#120—716no—
1200#120—716no—
1201#120—716no—
1202#120—716no—
1203#120—716no—
1204#120—716no—
1205#120—716no—
1206#120—716no—
1207#120—716no—
1208#120—713no—
1209#120—716no—
1210#120—713no—
1211#120—716no—
1212#120—716no—
1213#120—713no—
1214#120—713no—
1215#120—716no—
1216#120—716no—
1217#120—713no—
1218#120—716no—
1219#120—713no—
1220#120—716no—
1221#120—716no—
1222#120C22×D7113yes—
1223#120C22×D7116yescomplemented
1224#120C22×D7116yescomplemented
1225#120C22×D7113yescomplemented
1226#120C22×D7113yescomplemented
1227#120C22×D7113yescomplemented
1228#120C22×D7116yescomplemented
1229#120C22×D7111yescharacteristic, complemented
1230#120C22×D7113yescomplemented
1231C4×D4—716no—
1232C4×D4—716no—
1233C4×D4—716no—
1234C4×D4—716no—
1235C4×D4—716no—
1236C4×D4—716no—
1237C4×D4—716no—
1238C4×D4—716no—
1239C4×D4—716no—
1240C4×D4—716no—
1241C4×D4—716no—
1242C4×D4—716no—
1243C4×D4—716no—
1244C4×D4—716no—
1245C4×D4C22×D7116yescomplemented
1246C4×D4C22×D7116yescomplemented
1247#117—713no—
1248#117—716no—
1249#117—716no—
1250#117—713no—
1251#117—713no—
1252#117C22×D7113yescomplemented
1253C2×C4⋊C4—716no—
1254C2×C4⋊C4—716no—
1255C2×C4⋊C4—716no—
1256C2×C22⋊C4—713no—
1257C2×C22⋊C4—716no—
1258C2×C22⋊C4—713no—
1259C2×C22⋊C4—716no—
1260C2×C22⋊C4—716no—
1261C2×C22⋊C4—716no—
1262C2×C22⋊C4—716no—
1263C2×C22⋊C4—716no—
1264C2×C22⋊C4—716no—
1265C2×C22⋊C4—713no—
1266C2×C22⋊C4—716no—
1267C2×C22⋊C4—716no—
1268C2×C22⋊C4—716no—
1269C2×C22⋊C4—713no—
1270C2×C22⋊C4—713no—
1271C2×C22⋊C4—716no—
1272C2×C22⋊C4—713no—
1273C2×C22⋊C4—716no—
1274C2×C22⋊C4—716no—
1275C2×C22⋊C4—716no—
1276C2×C22⋊C4—716no—
1277C2×C22⋊C4—716no—
1278C2×C22⋊C4—713no—
1279C2×C22⋊C4—713no—
1280C2×C22⋊C4—713no—
1281C2×C22⋊C4—713no—
1282C2×C22⋊C4—716no—
1283C2×C22⋊C4—716no—
1284C2×C22⋊C4C22×D7113yescomplemented
1285C2×C22⋊C4C22×D7116yescomplemented
1286C2×C22⋊C4C22×D7113yescomplemented
1287C2×C42—711no—
1288C2×C42—713no—
1289C2×C42—712no—
1290C24—46no—
1291C24—28412no—
1292C24—2846no—
1293C24—28464no—
1294C24—2846no—
1295C24—2846no—
1296C24—28412no—
1297C24—2846no—
1298C24—28412no—
1299C24—2846no—
1300C24—28412no—
1301C24—2846no—
1302C24—713no—
1303C24—713no—
1304C24—713no—
1305C24—713no—
1306C24—713no—
1307C24—713no—
1308C24—713no—
1309C24—713no—
1310C24—713no—
1311C24—716no—
1312C24—713no—
1313C24—713no—
1314C24—711no—
1315C24—713no—
1316C24—713no—
1317C24—14212no—
1318C24—14224no—
1319C24—14212no—
1320C24C23×D7113yes—
1321C24C23×D7113yes—
1322C24C23×D7113yes—
1323C24C23×D7111yescharacteristic
1324C24C23×D7111yescharacteristic, complemented
1325#41—46no—
1326#41—2846no—
1327#41—28412no—
1328#41—28412no—
1329#41—2846no—
1330#41—2846no—
1331C2×Q8—2846no—
1332C2×Q8—716no—
1333C2×Q8—713no—
1334C2×Q8C23×D7113yescomplemented
1335C2×D4—46no—
1336C2×D4—412no—
1337C2×D4—46no—
1338C2×D4—2846no—
1339C2×D4—28412no—
1340C2×D4—2846no—
1341C2×D4—28412no—
1342C2×D4—28412no—
1343C2×D4—28412no—
1344C2×D4—28412no—
1345C2×D4—28412no—
1346C2×D4—28412no—
1347C2×D4—2846no—
1348C2×D4—28412no—
1349C2×D4—2846no—
1350C2×D4—28412no—
1351C2×D4—2846no—
1352C2×D4—2846no—
1353C2×D4—28412no—
1354C2×D4—28412no—
1355C2×D4—28412no—
1356C2×D4—2846no—
1357C2×D4—2846no—
1358C2×D4—2846no—
1359C2×D4—2846no—
1360C2×D4—2846no—
1361C2×D4—2846no—
1362C2×D4—2846no—
1363C2×D4—2846no—
1364C2×D4—2846no—
1365C2×D4—713no—
1366C2×D4—713no—
1367C2×D4—716no—
1368C2×D4—716no—
1369C2×D4—713no—
1370C2×D4—713no—
1371C2×D4—713no—
1372C2×D4—713no—
1373C2×D4—716no—
1374C2×D4—716no—
1375C2×D4—713no—
1376C2×D4—713no—
1377C2×D4—716no—
1378C2×D4—716no—
1379C2×D4—716no—
1380C2×D4—716no—
1381C2×D4—716no—
1382C2×D4—716no—
1383C2×D4—716no—
1384C2×D4—713no—
1385C2×D4—716no—
1386C2×D4—713no—
1387C2×D4—713no—
1388C2×D4—716no—
1389C2×D4—713no—
1390C2×D4—713no—
1391C2×D4—716no—
1392C2×D4—716no—
1393C2×D4—716no—
1394C2×D4—14224no—
1395C2×D4—14224no—
1396C2×D4C23×D7116yes—
1397C2×D4C23×D7116yes—
1398C2×D4C23×D7113yes—
1399C2×D4C23×D7113yes—
1400C2×D4C23×D7116yes—
1401C2×D4C23×D7113yes—
1402C2×D4C23×D7116yes—
1403C2×D4C23×D7113yes—
1404C2×D4C23×D7113yescomplemented
1405C2×D4C23×D7116yescomplemented
1406C22×C4—28412no—
1407C22×C4—2846no—
1408C22×C4—28412no—
1409C22×C4—716no—
1410C22×C4—716no—
1411C22×C4—713no—
1412C22×C4—716no—
1413C22×C4—716no—
1414C22×C4—716no—
1415C22×C4—716no—
1416C22×C4—716no—
1417C22×C4—713no—
1418C22×C4—713no—
1419C22×C4—716no—
1420C22×C4—716no—
1421C22×C4—713no—
1422C22×C4—713no—
1423C22×C4—713no—
1424C22×C4—14212no—
1425C22×C4C23×D7113yes—
1426C22×C4C23×D7116yes—
1427C22×C4C23×D7116yescomplemented
1428C22×C4C23×D7113yescomplemented
1429C4⋊C4—716no—
1430C4⋊C4—716no—
1431C4⋊C4—716no—
1432C4⋊C4—716no—
1433C4⋊C4—716no—
1434C4⋊C4—716no—
1435C4⋊C4—716no—
1436C4⋊C4—716no—
1437C4⋊C4—716no—
1438C4⋊C4C23×D7116yescomplemented
1439C4⋊C4C23×D7116yescomplemented
1440C4⋊C4C23×D7116yescomplemented
1441C22⋊C4—716no—
1442C22⋊C4—716no—
1443C22⋊C4—713no—
1444C22⋊C4—716no—
1445C22⋊C4—716no—
1446C22⋊C4—716no—
1447C22⋊C4—713no—
1448C22⋊C4—713no—
1449C22⋊C4—713no—
1450C22⋊C4—716no—
1451C22⋊C4—716no—
1452C22⋊C4—716no—
1453C22⋊C4—716no—
1454C22⋊C4—716no—
1455C22⋊C4—716no—
1456C22⋊C4—716no—
1457C22⋊C4—716no—
1458C22⋊C4—716no—
1459C22⋊C4—716no—
1460C22⋊C4—716no—
1461C22⋊C4—716no—
1462C22⋊C4—716no—
1463C22⋊C4—716no—
1464C22⋊C4—716no—
1465C22⋊C4—716no—
1466C22⋊C4—716no—
1467C22⋊C4—716no—
1468C22⋊C4—716no—
1469C22⋊C4—716no—
1470C22⋊C4C23×D7116yes—
1471C22⋊C4C23×D7116yes—
1472C22⋊C4C23×D7113yes—
1473C22⋊C4C23×D7116yes—
1474C22⋊C4C23×D7116yes—
1475C22⋊C4C23×D7116yes—
1476C22⋊C4C23×D7113yes—
1477C22⋊C4C23×D7113yescomplemented
1478C22⋊C4C23×D7113yescomplemented
1479C22⋊C4C23×D7116yescomplemented
1480C22⋊C4C23×D7116yescomplemented
1481C42—713no—
1482C42—716no—
1483C42—713no—
1484C42—716no—
1485C42C23×D7111yescharacteristic, complemented
1486C42C23×D7113yescomplemented
1487C42C23×D7112yescomplemented
1488C23—212no—
1489C23—26no—
1490C23—26no—
1491C23—43no—
1492C23—46no—
1493C23—43no—
1494C23—46no—
1495C23—43no—
1496C23—416no—
1497C23—2846no—
1498C23—2846no—
1499C23—2843no—
1500C23—2846no—
1501C23—2846no—
1502C23—2846no—
1503C23—2843no—
1504C23—2846no—
1505C23—2846no—
1506C23—2843no—
1507C23—2846no—
1508C23—2846no—
1509C23—28448no—
1510C23—28448no—
1511C23—28416no—
1512C23—28416no—
1513C23—28448no—
1514C23—28448no—
1515C23—5688no—
1516C23—56824no—
1517C23—711no—
1518C23—7112no—
1519C23—713no—
1520C23—713no—
1521C23—711no—
1522C23—713no—
1523C23—713no—
1524C23—14212no—
1525C23—1426no—
1526C23—1426no—
1527C23—14212no—
1528C23—14212no—
1529C23—1426no—
1530C23—14212no—
1531C23—1426no—
1532C23—1426no—
1533C23—1426no—
1534C23—14212no—
1535C23—1426no—
1536C23—1426no—
1537C23—14212no—
1538C23—1426no—
1539C23—14212no—
1540C23—1426no—
1541C23C24×D7113yes—
1542C23C24×D7111yescharacteristic
1543C23C24×D7113yes—
1544C23C24×D7113yes—
1545C23C24×D7113yes—
1546Q8—43no—
1547Q8—2843no—
1548Q8—2846no—
1549D4—212no—
1550D4—212no—
1551D4—43no—
1552D4—43no—
1553D4—43no—
1554D4—43no—
1555D4—46no—
1556D4—46no—
1557D4—46no—
1558D4—43no—
1559D4—2843no—
1560D4—2843no—
1561D4—2843no—
1562D4—2843no—
1563D4—2846no—
1564D4—2846no—
1565D4—2846no—
1566D4—2843no—
1567D4—2843no—
1568D4—2843no—
1569D4—2843no—
1570D4—2843no—
1571D4—2846no—
1572D4—2846no—
1573D4—2846no—
1574D4—2846no—
1575D4—2846no—
1576D4—2846no—
1577D4—2843no—
1578D4—2843no—
1579D4—2843no—
1580D4—2843no—
1581D4—2846no—
1582D4—14212no—
1583D4—14212no—
1584D4—14212no—
1585D4—14212no—
1586D4—14212no—
1587D4—14212no—
1588C2×C4—26no—
1589C2×C4—46no—
1590C2×C4—43no—
1591C2×C4—46no—
1592C2×C4—2846no—
1593C2×C4—2846no—
1594C2×C4—2846no—
1595C2×C4—2846no—
1596C2×C4—2846no—
1597C2×C4—2843no—
1598C2×C4—2846no—
1599C2×C4—2846no—
1600C2×C4—713no—
1601C2×C4—716no—
1602C2×C4—716no—
1603C2×C4—713no—
1604C2×C4—1426no—
1605C2×C4—14212no—
1606C2×C4—14212no—
1607C2×C4—1426no—
1608C2×C4—1426no—
1609C2×C4—1426no—
1610C2×C4—1426no—
1611C2×C4C24×D7113yes—
1612C2×C4C24×D7116yes—
1613C2×C4C24×D7116yes—
1614C2×C4C24×D7113yes—
1615C22—26no—
1616C22—26no—
1617C22—23no—
1618C22—26no—
1619C22—23no—
1620C22—23no—
1621C22—26no—
1622C22—23no—
1623C22—412no—
1624C22—412no—
1625C22—44no—
1626C22—86no—
1627C22—82no—
1628C22—28412no—
1629C22—28424no—
1630C22—28412no—
1631C22—28412no—
1632C22—2844no—
1633C22—28412no—
1634C22—28412no—
1635C22—28412no—
1636C22—28412no—
1637C22—28412no—
1638C22—5686no—
1639C22—5686no—
1640C22—5686no—
1641C22—5686no—
1642C22—716no—
1643C22—716no—
1644C22—14224no—
1645C22—1426no—
1646C22—1423no—
1647C22—1423no—
1648C22—1426no—
1649C22—1423no—
1650C22—1423no—
1651C22—1426no—
1652C22—1426no—
1653C22H(5,𝔽2)×D7116yes—
1654C22C25×D7111yescharacteristic
1655C4—23no—
1656C4—23no—
1657C4—26no—
1658C4—26no—
1659C4—1423no—
1660C4—1426no—
1661C4—1426no—
1662C4—1423no—
1663C2—26no—
1664C2—43no—
1665C2—41no—
1666C2—43no—
1667C2—43no—
1668C2—2841no—
1669C2—2843no—
1670C2—2843no—
1671C2—2843no—
1672C2—714no—
1673C2—1426no—
1674C2C2×H(5,𝔽2)×D7113yes—
subgroupG/H
center, FrattiniC22C25×D71
commutator, socle, cosocleC22×C71C26
FittingC71×#3532C2
hypercenter#3532D71
hypocenterC71C2×#3532
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22 ◁ #3532

Complements

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

NH ≅ G/Ntype
1. #22602497C2semidirect
2. #22602496C2semidirect
3. #22602495C2semidirect
4. #22602494C2semidirect
5. #22602493C2semidirect
6. #22602492C2semidirect
7. #22602491C2semidirect
8. #22602490C2semidirect
9. #22602489C2semidirect
10. H(3,𝔽4)×D71C2semidirect
11. #560×D71C2semidirect
12. #551×D71C2semidirect
13. #546×D71C2semidirect
14. D42×D71C2semidirect
15. #538×D71C2semidirect
16. #535×D71C2semidirect
17. #534×D71C2semidirect
18. C2×#120×D71C2semidirect
19. C71×#3532C2semidirect
20. C25×D71C22semidirect
21. C2×#41×D71C22semidirect
22. C22×D4×D71C22semidirect
23. C22×D4×D71C22semidirect
24. C22×D4×D71C22semidirect
25. #17986742C22semidirect
26. #17986742C22semidirect
27. #17986741C22semidirect
28. #17986741C22semidirect
29. #17986740C22semidirect
30. #17986739C22semidirect
31. #17986739C22semidirect
32. #17986738C22semidirect
33. #17986738C22semidirect
34. #17986737C22semidirect
35. #17986737C22semidirect
36. #17986737C22semidirect
37. #17986736C22semidirect
38. #17986680C22semidirect
39. #17986679C22semidirect
40. #17986678C22semidirect
41. #17986677C22semidirect
42. #17986676C22semidirect
43. #17986675C22semidirect
44. #17986674C22semidirect
45. #17986673C22semidirect
46. #17986672C22semidirect
47. #17986646C22semidirect
48. #17986645C22semidirect
49. #17986644C22semidirect
50. #17986643C22semidirect
51. #17986642C22semidirect
52. #17986641C22semidirect
53. #17986641C22semidirect
54. #17986640C22semidirect
55. #17986639C22semidirect
56. #17986639C22semidirect
57. #17986638C22semidirect
58. #17986638C22semidirect
59. #17986637C22semidirect
60. #17986636C22semidirect
61. #17986636C22semidirect
62. D4×D284C22semidirect
63. #17986634C22semidirect
64. #17986633C22semidirect
65. #17986633C22semidirect
66. D4×C22⋊D71C22semidirect
67. D4×C22⋊D71C22semidirect
68. #17986631C22semidirect
69. #17986631C22semidirect
70. #17986631C22semidirect
71. #17986589C22semidirect
72. #17986588C22semidirect
73. #17986588C22semidirect
74. #17986587C22semidirect
75. #17986586C22semidirect
76. #17986585C22semidirect
77. #17986585C22semidirect
78. #17986584C22semidirect
79. #17986584C22semidirect
80. #17986583C22semidirect
81. #17986583C22semidirect
82. #17986582C22semidirect
83. #17986582C22semidirect
84. #17986581C22semidirect
85. #17986581C22semidirect
86. #17986568C22semidirect
87. #17986567C22semidirect
88. #17986567C22semidirect
89. #17986566C22semidirect
90. #17986565C22semidirect
91. #17986565C22semidirect
92. #17986564C22semidirect
93. #17986564C22semidirect
94. #17986563C22semidirect
95. #17986562C22semidirect
96. #17986562C22semidirect
97. #17986561C22semidirect
98. #17986560C22semidirect
99. #17986560C22semidirect
100. #17986560C22semidirect
101. #17986559C22semidirect
102. #17986559C22semidirect
103. #17986559C22semidirect
104. #17986558C22semidirect
105. #17986558C22semidirect
106. #17986557C22semidirect
107. #17986557C22semidirect
108. #127×D71C22semidirect
109. #127×D71C22semidirect
110. #126×D71C22semidirect
111. #126×D71C22semidirect
112. #124×D71C22semidirect
113. #124×D71C22semidirect
114. #124×D71C22semidirect
115. #123×D71C22semidirect
116. #123×D71C22semidirect
117. #123×D71C22semidirect
118. #123×D71C22semidirect
119. C22⋊Q8×D71C22semidirect
120. #121×D71C22semidirect
121. #121×D71C22semidirect
122. #121×D71C22semidirect
123. #121×D71C22semidirect
124. #121×D71C22semidirect
125. C2×#14556098C22semidirect
126. C2×#14556098C22semidirect
127. C2×#14556097C22semidirect
128. C2×#14556096C22semidirect
129. C2×#14556096C22semidirect
131. #120×D71C22semidirect
132. #120×D71C22semidirect
133. #120×D71C22semidirect
134. #120×D71C22semidirect
135. #120×D71C22semidirect
136. #120×D71C22semidirect
137. #120×D71C22semidirect
138. #120×D71C22semidirect
139. #120×D71C22semidirect
140. #120×D71C22semidirect
141. #120×D71C22semidirect
142. #120×D71C22semidirect
143. #120×D71C22semidirect
144. #120×D71C22semidirect
145. C4×D4×D71C22semidirect
146. C4×D4×D71C22semidirect
147. #117×D71C22semidirect
148. C2×C22⋊C4×D71C22semidirect
149. C2×C22⋊C4×D71C22semidirect
150. C2×C22⋊C4×D71C22semidirect
151. H(3,𝔽4)×C71C22semidirect
152. #560×C71C22semidirect
153. #551×C71C22semidirect
154. #546×C71C22semidirect
155. D42×C71C22semidirect
156. #538×C71C22semidirect
157. #535×C71C22semidirect
158. #534×C71C22semidirect
159. C2×#120×C71C22semidirect
165. C24×D71C23semidirect
166. C24×D71C23semidirect
167. C24×D71C23semidirect
168. C24×D71C23semidirect
169. C2×#11765866C23semidirect
170. C2×#11765865C23semidirect
171. C2×#11765865C23semidirect
172. C2×#11765864C23semidirect
173. C2×#11765864C23semidirect
175. C2×Q8×D71C23semidirect
176. C22×D284C23semidirect
177. C22×D284C23semidirect
178. C22×D284C23semidirect
179. C22×C22⋊D71C23semidirect
180. C22×C22⋊D71C23semidirect
181. C22×C22⋊D71C23semidirect
182. C22×C22⋊D71C23semidirect
183. C22×C22⋊D71C23semidirect
184. C22×C22⋊D71C23semidirect
196. C2×D4×D71C23semidirect
197. C2×D4×D71C23semidirect
198. C2×D4×D71C23semidirect
199. C2×D4×D71C23semidirect
200. C2×D4×D71C23semidirect
201. C2×D4×D71C23semidirect
202. C2×D4×D71C23semidirect
203. C2×D4×D71C23semidirect
204. C2×D4×D71C23semidirect
205. C2×D4×D71C23semidirect
206. C2×D4×D71C23semidirect
207. C2×D4×D71C23semidirect
210. C22×C4×D71C23semidirect
211. C22×C4×D71C23semidirect
212. #14556125C23semidirect
213. #14556125C23semidirect
214. #14556124C23semidirect
215. #14556124C23semidirect
216. #14556124C23semidirect
217. #14556124C23semidirect
218. #14556124C23semidirect
219. #14556124C23semidirect
220. #14556123C23semidirect
221. #14556123C23semidirect
222. #14556123C23semidirect
223. #14556123C23semidirect
224. #14556122C23semidirect
225. #14556122C23semidirect
226. #14556121C23semidirect
227. #14556121C23semidirect
228. #14556121C23semidirect
229. #14556121C23semidirect
230. #14556117C23semidirect
231. #14556117C23semidirect
232. #14556117C23semidirect
233. #14556116C23semidirect
234. #14556116C23semidirect
235. #14556116C23semidirect
236. #14556115C23semidirect
237. #14556115C23semidirect
238. #14556115C23semidirect
239. #14556114C23semidirect
240. #14556114C23semidirect
241. #14556114C23semidirect
242. #14556114C23semidirect
243. #14556114C23semidirect
244. #14556114C23semidirect
245. #14556114C23semidirect
246. #14556114C23semidirect
247. #14556113C23semidirect
248. #14556113C23semidirect
249. #14556113C23semidirect
250. #14556113C23semidirect
251. #14556113C23semidirect
252. #14556113C23semidirect
253. #14556112C23semidirect
254. #14556112C23semidirect
255. #14556112C23semidirect
256. #14556112C23semidirect
257. #14556111C23semidirect
258. #14556111C23semidirect
259. #14556111C23semidirect
260. #14556111C23semidirect
261. #14556110C23semidirect
262. #14556110C23semidirect
263. #14556110C23semidirect
264. #14556110C23semidirect
265. #14556110C23semidirect
266. #14556110C23semidirect
267. #14556109C23semidirect
268. #14556109C23semidirect
269. #14556109C23semidirect
270. #14556109C23semidirect
271. #14556108C23semidirect
272. #14556107C23semidirect
273. #14556106C23semidirect
274. #14556106C23semidirect
275. #14556105C23semidirect
276. #14556105C23semidirect
277. #14556104C23semidirect
278. #14556103C23semidirect
279. #14556103C23semidirect
280. #14556103C23semidirect
281. #14556103C23semidirect
282. #14556103C23semidirect
283. #14556102C23semidirect
284. #14556102C23semidirect
285. #14556102C23semidirect
286. #14556102C23semidirect
287. #14556102C23semidirect
288. #14556101C23semidirect
289. #14556101C23semidirect
290. #14556101C23semidirect
291. #14556101C23semidirect
292. #14556101C23semidirect
293. #14556101C23semidirect
294. #14556101C23semidirect
295. #14556101C23semidirect
296. #14556101C23semidirect
297. #14556101C23semidirect
298. #14556100C23semidirect
299. #14556100C23semidirect
300. #14556100C23semidirect
301. #14556100C23semidirect
302. #14556100C23semidirect
303. #14556100C23semidirect
304. #14556100C23semidirect
305. #14556100C23semidirect
306. #14556100C23semidirect
307. #14556100C23semidirect
308. #14556099C23semidirect
309. #14556099C23semidirect
310. #14556099C23semidirect
311. #14556099C23semidirect
312. #14556099C23semidirect
315. #14556098C23semidirect
316. #14556098C23semidirect
317. #14556098C23semidirect
318. #14556098C23semidirect
319. #14556098C23semidirect
320. #14556098C23semidirect
321. #14556098C23semidirect
322. #14556098C23semidirect
323. #14556098C23semidirect
324. #14556098C23semidirect
325. #14556098C23semidirect
326. #14556098C23semidirect
327. #14556098C23semidirect
328. #14556098C23semidirect
329. #14556098C23semidirect
330. #14556098C23semidirect
331. #14556098C23semidirect
332. #14556098C23semidirect
334. #14556097C23semidirect
335. #14556097C23semidirect
336. #14556097C23semidirect
337. #14556097C23semidirect
338. #14556097C23semidirect
339. #14556097C23semidirect
340. #14556097C23semidirect
341. #14556097C23semidirect
344. #14556096C23semidirect
345. #14556096C23semidirect
346. #14556096C23semidirect
347. #14556096C23semidirect
348. #14556096C23semidirect
349. #14556096C23semidirect
350. #14556096C23semidirect
351. #14556096C23semidirect
352. #14556096C23semidirect
353. #14556096C23semidirect
354. #14556096C23semidirect
355. #14556096C23semidirect
356. #14556096C23semidirect
357. #14556096C23semidirect
358. #14556096C23semidirect
359. #14556096C23semidirect
360. #14556096C23semidirect
361. #14556096C23semidirect
362. C4×D284C23semidirect
363. C4×D284C23semidirect
364. D4×Dic71C23semidirect
365. D4×Dic71C23semidirect
366. #14556090C23semidirect
367. #14556090C23semidirect
368. C4×C22⋊D71C23semidirect
369. C4×C22⋊D71C23semidirect
370. C4×C22⋊D71C23semidirect
371. C4×C22⋊D71C23semidirect
372. (C22⋊D71)⋊C4C23semidirect
373. (C22⋊D71)⋊C4C23semidirect
374. (C22⋊D71)⋊C4C23semidirect
375. (C22⋊D71)⋊C4C23semidirect
376. #14556087C23semidirect
377. #14556086C23semidirect
378. #14556085C23semidirect
379. #14556085C23semidirect
380. #14556084C23semidirect
381. C4⋊C4×D71C23semidirect
382. C4⋊C4×D71C23semidirect
383. C4⋊C4×D71C23semidirect
384. C2×C22⋊Dic71C23semidirect
385. C2×C22⋊Dic71C23semidirect
386. C2×C22⋊Dic71C23semidirect
387. C2×(C2×D71)⋊C4C23semidirect
388. C2×(C2×D71)⋊C4C23semidirect
389. C2×(C2×D71)⋊C4C23semidirect
390. C2×(C2×D71)⋊C4C23semidirect
398. C22⋊C4×D71C23semidirect
399. C22⋊C4×D71C23semidirect
400. C22⋊C4×D71C23semidirect
401. C22⋊C4×D71C23semidirect
402. C22⋊C4×D71C23semidirect
403. C22⋊C4×D71C23semidirect
404. C22⋊C4×D71C23semidirect
405. C22⋊C4×D71C23semidirect
406. C22⋊C4×D71C23semidirect
407. C22⋊C4×D71C23semidirect
408. C22⋊C4×D71C23semidirect
409. C22⋊C4×D71C23semidirect
410. C22⋊C4×D71C23semidirect
411. C22⋊C4×D71C23semidirect
412. C42×D71C23semidirect
413. C42×D71C23semidirect
414. C42×D71C23semidirect
415. C25×C71C23semidirect
416. C2×#41×C71C23semidirect
417. C22×D4×C71C23semidirect
418. C22×D4×C71C23semidirect
419. C22×D4×C71C23semidirect
420. #127×C71C23semidirect
421. #127×C71C23semidirect
422. #126×C71C23semidirect
423. #126×C71C23semidirect
424. #124×C71C23semidirect
425. #124×C71C23semidirect
426. #124×C71C23semidirect
427. #123×C71C23semidirect
428. #123×C71C23semidirect
429. #123×C71C23semidirect
430. #123×C71C23semidirect
431. C22⋊Q8×C71C23semidirect
432. #121×C71C23semidirect
433. #121×C71C23semidirect
434. #121×C71C23semidirect
435. #121×C71C23semidirect
436. #121×C71C23semidirect
438. #120×C71C23semidirect
439. #120×C71C23semidirect
440. #120×C71C23semidirect
441. #120×C71C23semidirect
442. #120×C71C23semidirect
443. #120×C71C23semidirect
444. #120×C71C23semidirect
445. #120×C71C23semidirect
446. C4×D4×C71C23semidirect
447. C4×D4×C71C23semidirect
448. #117×C71C23semidirect
449. C2×C22⋊C4×C71C23semidirect
450. C2×C22⋊C4×C71C23semidirect
451. C2×C22⋊C4×C71C23semidirect
480. C23×D71C24semidirect
486. C2×Dic142C24semidirect
487. C2×Dic142C24semidirect
500. C2×D284C24semidirect
501. C2×D284C24semidirect
524. C2×C22⋊D71C24semidirect
525. C2×C22⋊D71C24semidirect
526. C2×C22⋊D71C24semidirect
549. C22×Dic71C24semidirect
550. C22×Dic71C24semidirect
563. C2×C4×D71C24semidirect
564. C2×C4×D71C24semidirect
565. C2×C4×D71C24semidirect
566. C4⋊Dic71C24semidirect
567. C4⋊Dic71C24semidirect
568. C4⋊Dic71C24semidirect
569. Dic71⋊C4C24semidirect
570. Dic71⋊C4C24semidirect
571. Dic71⋊C4C24semidirect
572. Dic71⋊C4C24semidirect
573. Dic71⋊C4C24semidirect
574. Dic71⋊C4C24semidirect
582. C22⋊Dic71C24semidirect
583. C22⋊Dic71C24semidirect
584. C22⋊Dic71C24semidirect
585. C22⋊Dic71C24semidirect
598. (C2×D71)⋊C4C24semidirect
599. (C2×D71)⋊C4C24semidirect
600. (C2×D71)⋊C4C24semidirect
601. (C2×D71)⋊C4C24semidirect
602. (C2×D71)⋊C4C24semidirect
603. (C2×D71)⋊C4C24semidirect
604. C4×Dic71C24semidirect
605. C4×Dic71C24semidirect
606. C4×Dic71C24semidirect
607. C4×Dic71C24semidirect
613. C24×C71C24semidirect
615. C2×Q8×C71C24semidirect
627. C2×D4×C71C24semidirect
628. C2×D4×C71C24semidirect
631. C22×C4×C71C24semidirect
632. C22×C4×C71C24semidirect
633. C4⋊C4×C71C24semidirect
634. C4⋊C4×C71C24semidirect
635. C4⋊C4×C71C24semidirect
643. C22⋊C4×C71C24semidirect
644. C22⋊C4×C71C24semidirect
645. C22⋊C4×C71C24semidirect
646. C22⋊C4×C71C24semidirect
647. C42×C71C24semidirect
648. C42×C71C24semidirect
649. C42×C71C24semidirect
837. D71#3532direct (N × H)
847. #3532D71direct (N × H)
857. C71C2×#3532semidirect
867. H(3,𝔽4)C2×D71semidirect
877. #560C2×D71semidirect
887. #551C2×D71semidirect
903. #546C2×D71semidirect
913. D42C2×D71semidirect
929. #538C2×D71semidirect
941. #535C2×D71semidirect
953. #534C2×D71semidirect
991. C2×#120C2×D71semidirect
1007. C25C22×D71semidirect
1014. C2×#41C22×D71semidirect
1048. C22×D4C22×D71semidirect
1049. C22×D4C22×D71semidirect
1050. C22×D4C22×D71semidirect
1063. #127C22×D71semidirect
1064. #127C22×D71semidirect
1075. #126C22×D71semidirect
1076. #126C22×D71semidirect
1094. #124C22×D71semidirect
1095. #124C22×D71semidirect
1096. #124C22×D71semidirect
1121. #123C22×D71semidirect
1122. #123C22×D71semidirect
1123. #123C22×D71semidirect
1124. #123C22×D71semidirect
1132. C22⋊Q8C22×D71semidirect
1168. #121C22×D71semidirect
1169. #121C22×D71semidirect
1170. #121C22×D71semidirect
1171. #121C22×D71semidirect
1172. #121C22×D71semidirect
1223. #120C22×D71semidirect
1224. #120C22×D71semidirect
1225. #120C22×D71semidirect
1226. #120C22×D71semidirect
1227. #120C22×D71semidirect
1228. #120C22×D71semidirect
1229. #120C22×D71semidirect
1230. #120C22×D71semidirect
1245. C4×D4C22×D71semidirect
1246. C4×D4C22×D71semidirect
1252. #117C22×D71semidirect
1284. C2×C22⋊C4C22×D71semidirect
1285. C2×C22⋊C4C22×D71semidirect
1286. C2×C22⋊C4C22×D71semidirect
1324. C24C23×D71semidirect
1334. C2×Q8C23×D71semidirect
1404. C2×D4C23×D71semidirect
1405. C2×D4C23×D71semidirect
1427. C22×C4C23×D71semidirect
1428. C22×C4C23×D71semidirect
1438. C4⋊C4C23×D71semidirect
1439. C4⋊C4C23×D71semidirect
1440. C4⋊C4C23×D71semidirect
1477. C22⋊C4C23×D71semidirect
1478. C22⋊C4C23×D71semidirect
1479. C22⋊C4C23×D71semidirect
1480. C22⋊C4C23×D71semidirect
1485. C42C23×D71semidirect
1486. C42C23×D71semidirect
1487. C42C23×D71semidirect

Maximal subgroups

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

subgroupindex
#226024972
#226024962
#226024952
#226024942
#226024932
#226024922
#226024912
#226024902
#226024892
H(3,𝔽4)×D712
#560×D712
#551×D712
#546×D712
D42×D712
#538×D712
#535×D712
#534×D712
C2×#120×D712
C71×#35322
C2×#353271