Finite Group Databasebeta

← #32876504

Subgroups — #32876504

Order 18176.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602071C211yesmaximal, characteristic, complemented
2#22602068C211yesmaximal, characteristic, complemented
3#22600944C211yesmaximal, characteristic, complemented
4#22600942C211yesmaximal, characteristic, complemented
5#22600941C211yesmaximal, characteristic, complemented
6#22600937C211yesmaximal, characteristic, complemented
7#22600936C211yesmaximal, characteristic, complemented
8#22600931C211yesmaximal, characteristic, complemented
9#22600930C211yesmaximal, characteristic, complemented
10#22600844C211yesmaximal, characteristic, complemented
11#22600843C211yesmaximal, characteristic, complemented
12#22600837C211yesmaximal, characteristic, complemented
13#22600834C211yesmaximal, characteristic, complemented
14#22600814C211yesmaximal, characteristic, complemented
15#22600813C211yesmaximal, characteristic, complemented
16#22600807C211yesmaximal, characteristic, complemented
17#22600804C211yesmaximal, characteristic, complemented
18#22598869C211yesmaximal, characteristic, complemented
19#22598293C211yesmaximal, characteristic, complemented
20#22598291C211yesmaximal, characteristic, complemented
21#22598279C211yesmaximal, characteristic, complemented
22#22598275C211yesmaximal, characteristic, complemented
23#22598170C211yesmaximal, characteristic, complemented
24#22598168C211yesmaximal, characteristic, complemented
25#22597986C211yesmaximal, characteristic, complemented
26#469×D71C211yesmaximal, characteristic, complemented
27#22597187C211yesmaximal, characteristic, complemented
28#22597040C211yesmaximal, characteristic, complemented
29#22596934C211yesmaximal, characteristic, complemented
30#22596927C211yesmaximal, characteristic, complemented
31C71×#3355C211yesmaximal, characteristic, complemented
32C2×D8×D71C2211yescharacteristic
33C2×#14556136C2211yescharacteristic
34C2×M16×D71C2211yescharacteristic
35#17986714C2211yescharacteristic, complemented
36#17986714C2211yescharacteristic, complemented
37#17986713C2211yescharacteristic, complemented
38#17986712C2211yescharacteristic, complemented
39#17986702C2211yescharacteristic, complemented
40#17986702C2211yescharacteristic, complemented
41#17986701C2211yescharacteristic, complemented
42#17986697C2211yescharacteristic, complemented
43#17986696C2211yescharacteristic, complemented
44#17986693C2211yescharacteristic, complemented
45#17986678—21no—
46#17986674—21no—
47#17986674—21no—
48#17986672—21no—
49#17986654C2211yescharacteristic, complemented
50#17986653C2211yescharacteristic, complemented
51#17986650C2211yescharacteristic, complemented
52#17986649C2211yescharacteristic, complemented
53#17986646—21no—
54#17986644—21no—
55#17986641—21no—
56#17986638—21no—
57#17986629C2211yescharacteristic
58#17986629C2211yescharacteristic
59#17986617—21no—
60#17986615—21no—
61#17986601—21no—
62#17986599—21no—
63#17986565C2211yescharacteristic
64#17986565C2211yescharacteristic
65#17986546—21no—
66#17986544—21no—
67#17986532—21no—
68#17986529—21no—
69#17986508C2211yescharacteristic
70#121×D71C2211yescharacteristic
71#121×D71C2211yescharacteristic
72#17986480C2211yescharacteristic
73#17986479C2211yescharacteristic
74#17986471C2211yescharacteristic
75#17986471C2211yescharacteristic
76C2×#14556086C2211yescharacteristic
77#117×D71C2211yescharacteristic
78#17986409C2211yescharacteristic, complemented
79#17986409C2211yescharacteristic, complemented
80#17986407C2211yescharacteristic, complemented
81#17986407C2211yescharacteristic, complemented
82#17986399C2211yescharacteristic, complemented
83#17986397C2211yescharacteristic, complemented
84#17986396C2211yescharacteristic, complemented
85#17986326C2211yescharacteristic, complemented
86#17986326C2211yescharacteristic, complemented
87#17986326C2211yescharacteristic, complemented
88#17986325C2211yescharacteristic, complemented
89#17986324C2211yescharacteristic, complemented
90#17986324C2211yescharacteristic, complemented
91#17986323C2211yescharacteristic, complemented
92#17986323C2211yescharacteristic, complemented
93#17986322C2211yescharacteristic, complemented
94#17986322C2211yescharacteristic, complemented
95#17986322C2211yescharacteristic, complemented
96#17986321C2211yescharacteristic, complemented
97#17986320C2211yescharacteristic, complemented
98#17986320C2211yescharacteristic, complemented
99#17986319C2211yescharacteristic, complemented
100#17986318C2211yescharacteristic, complemented
101#17986318C2211yescharacteristic, complemented
102#17986317C2211yescharacteristic, complemented
103#17986316C2211yescharacteristic, complemented
104#17986316C2211yescharacteristic, complemented
105#17986316C2211yescharacteristic, complemented
106#17986315C2211yescharacteristic, complemented
107#17986314C2211yescharacteristic, complemented
108#17986314C2211yescharacteristic, complemented
109#17986314C2211yescharacteristic, complemented
110#17986312C2211yescharacteristic, complemented
111#17986311C2211yescharacteristic, complemented
112#17986310C2211yescharacteristic, complemented
113#17986302C2211yescharacteristic, complemented
114#17986301C2211yescharacteristic, complemented
115#17986298C2211yescharacteristic, complemented
116#17986297C2211yescharacteristic, complemented
117#17986296C2211yescharacteristic, complemented
118#17986296C2211yescharacteristic, complemented
119#17986290C2211yescharacteristic, complemented
120#17986289C2211yescharacteristic, complemented
121#17986288C2211yescharacteristic, complemented
122#17986287C2211yescharacteristic, complemented
123#17986280C2211yescharacteristic, complemented
124#17986279C2211yescharacteristic, complemented
125#17986278C2211yescharacteristic, complemented
126#17986277C2211yescharacteristic, complemented
127#17986253C2211yescharacteristic
128#17986253C2211yescharacteristic, complemented
129#17986252C2211yescharacteristic
130#17986252C2211yescharacteristic, complemented
131#17986251C2211yescharacteristic
132#17986251C2211yescharacteristic
133#17986250C2211yescharacteristic
134#17986250C2211yescharacteristic
135#17986249C2211yescharacteristic
136#17986249C2211yescharacteristic, complemented
137#17986234C2211yescharacteristic, complemented
138#17986234C2211yescharacteristic, complemented
139#17986233C2211yescharacteristic, complemented
140#17986233C2211yescharacteristic, complemented
141#17986109C2211yescharacteristic, complemented
142#17986109C2211yescharacteristic, complemented
143#17986108C2211yescharacteristic, complemented
144#17986108C2211yescharacteristic, complemented
145C4×D568C2211yescharacteristic, complemented
146D8×Dic71C2211yescharacteristic, complemented
147#17986081C2211yescharacteristic, complemented
148#17986078C2211yescharacteristic, complemented
149#17986075C2211yescharacteristic, complemented
150#17986075C2211yescharacteristic, complemented
151#17986073C2211yescharacteristic, complemented
152#17986071C2211yescharacteristic, complemented
153#17986069C2211yescharacteristic, complemented
154#17986067C2211yescharacteristic, complemented
155#17986042C2211yescharacteristic, complemented
156#17986041C2211yescharacteristic, complemented
157#17986041C2211yescharacteristic, complemented
158#17986040C2211yescharacteristic
159#17986040C2211yescharacteristic
160#17986040C2211yescharacteristic
161#17986040C2211yescharacteristic, complemented
162#17986040C2211yescharacteristic, complemented
163#17986040C2211yescharacteristic, complemented
164#17986039C2211yescharacteristic, complemented
165#17986038C2211yescharacteristic
166#17986038C2211yescharacteristic, complemented
167#17986038C2211yescharacteristic, complemented
168#17986038C2211yescharacteristic, complemented
169#17986036C2211yescharacteristic
170#17986036C2211yescharacteristic
171#17986036C2211yescharacteristic, complemented
172#17986035C2211yescharacteristic, complemented
173#17986034C2211yescharacteristic
174#17986034C2211yescharacteristic
175C2×#14556059C2211yescharacteristic, complemented
176#106×D71C2211yescharacteristic
177#106×D71C2211yescharacteristic, complemented
178#17986024C2211yescharacteristic
179#17986002C2211yescharacteristic
180#17986002C2211yescharacteristic
181#17986002C2211yescharacteristic
182#17986002C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#17985964C2211yescharacteristic
186#17985961C2211yescharacteristic
187#17985953C2211yescharacteristic
188#553×C71C2211yescharacteristic, complemented
189#553×C71C2211yescharacteristic, complemented
190#499×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#480×C71C2211yescharacteristic, complemented
194#480×C71C2211yescharacteristic, complemented
195#478×C71C2211yescharacteristic, complemented
196#478×C71C2211yescharacteristic, complemented
197#469×C71C2211yescharacteristic
198#469×C71C2211yescharacteristic, complemented
199C4×D8×C71C2211yescharacteristic, complemented
200#436×C71C2211yescharacteristic, complemented
201#428×C71C2211yescharacteristic, complemented
202#428×C71C2211yescharacteristic, complemented
203C2×#11765865—21no—
204C2×#11765865—21no—
205C2×#11765865C2311yescharacteristic
206C2×#11765864—21no—
207C2×#11765864—21no—
208C2×D4×D71—21no—
209C2×D4×D71—21no—
210C2×D4×D71C2311yescharacteristic
211C2×D4×D71C2311yescharacteristic
212C22×C4×D71C2311yescharacteristic
213C2×D568C2311yescharacteristic
214C2×#11765850C2311yescharacteristic
215C2×#11765850C2311yescharacteristic
216D8×D71—24no—
217#14556136—24no—
218C2×#11765849C2311yescharacteristic
219C2×#11765848C2311yescharacteristic
220C2×#11765848C2311yescharacteristic
221C2×#11765848C2311yescharacteristic
222C2×#11765848C2311yescharacteristic
223C2×#11765848C2311yescharacteristic
224M16×D71—24no—
225C22×C71⋊C8C2311yescharacteristic
226C2×C8×D71C2311yescharacteristic
227C2×C8×D71C2311yescharacteristic
228C2×C8×D71C2311yescharacteristic
229#14556128C2311yescharacteristic
230#14556128C2311yescharacteristic
231#14556127—21no—
232#14556127—21no—
233#14556127C2311yescharacteristic
234#14556127C2311yescharacteristic
235#14556124—21no—
236#14556124—21no—
237#14556123—21no—
238#14556123—21no—
239#14556123—21no—
240#14556122—21no—
241#14556121—21no—
242#14556121—21no—
243#14556119C2311yescharacteristic
244#14556119C2311yescharacteristic
245#14556118—21no—
246#14556118—21no—
247#14556116—21no—
248#14556115—21no—
249#14556114—21no—
250#14556114—21no—
251#14556114—21no—
252#14556114—21no—
253#14556114—21no—
254#14556114—21no—
255#14556114—21no—
256#14556114—21no—
257#14556113—21no—
258#14556113—21no—
259#14556113—21no—
260#14556113—21no—
261#14556113D411yescharacteristic
262#14556112—21no—
263#14556112—21no—
264#14556112—21no—
265#14556111—21no—
266#14556110—21no—
267#14556110—21no—
268#14556110—21no—
269#14556110—21no—
270#14556110D411yescharacteristic
271#14556109—21no—
272#14556109—21no—
273#14556108—21no—
274#14556108—21no—
275#14556108—21no—
276#14556107—21no—
277#14556106—21no—
278#14556106—21no—
279#14556106—21no—
280#14556106D411yescharacteristic
281#14556105—21no—
282#14556105D411yescharacteristic
283#14556103—21no—
284#14556103—21no—
285#14556103C2311yescharacteristic
286#14556103C2311yescharacteristic
287#14556103C2311yescharacteristic
288#14556103C2311yescharacteristic
289#14556102—21no—
290#14556102—21no—
291#14556102C2311yescharacteristic
292#14556102C2311yescharacteristic
293#14556102C2311yescharacteristic
294#14556102C2311yescharacteristic
295#14556101—21no—
296#14556101—21no—
297#14556101—21no—
298#14556101—21no—
299#14556101D411yescharacteristic
300#14556100—21no—
301#14556100—21no—
302#14556100—21no—
303#14556100—21no—
304#14556100D411yescharacteristic
305#14556099—21no—
306#14556099—21no—
307#14556099C2311yescharacteristic
308#14556099C2311yescharacteristic
309#14556099C2311yescharacteristic
310#14556099C2311yescharacteristic
311#14556098—21no—
312#14556098—21no—
313#14556098D411yescharacteristic
314#14556096—21no—
315#14556096—21no—
316#14556096D411yescharacteristic
317C4×Dic142—21no—
318#14556093—21no—
319C4×D284—21no—
320C4×D284—21no—
321C4×D284C2311yescharacteristic
322C4×D284C2311yescharacteristic
323C4×D284C2311yescharacteristic
324D4×Dic71—21no—
325D4×Dic71C2311yescharacteristic
326D4×Dic71C2311yescharacteristic
327#14556090—21no—
328#14556090—21no—
329#14556090—21no—
330#14556090C2311yescharacteristic
331#14556090C2311yescharacteristic
332C4×C22⋊D71—21no—
333C4×C22⋊D71—21no—
334C4×C22⋊D71—21no—
335C4×C22⋊D71—21no—
336C4×C22⋊D71—21no—
337C4×C22⋊D71C2311yescharacteristic
338C4×C22⋊D71C2311yescharacteristic
339(C22⋊D71)⋊C4—21no—
340(C22⋊D71)⋊C4—21no—
341(C22⋊D71)⋊C4—21no—
342(C22⋊D71)⋊C4—21no—
343(C22⋊D71)⋊C4—21no—
344#14556087—21no—
345#14556087C2311yescharacteristic
346#14556087C2311yescharacteristic
347#14556086—21no—
348#14556086—21no—
349#14556086—21no—
350#14556086C2311yescharacteristic
351#14556086C2311yescharacteristic
352#14556086C2311yescharacteristic
353#14556086C2311yescharacteristic
354#14556086C2311yescharacteristic
355#14556086C2311yescharacteristic
356#14556086C2311yescharacteristic
357#14556086C2311yescharacteristic
358#14556085—21no—
359#14556085—21no—
360#14556085C2311yescharacteristic
361#14556084—21no—
362#14556084—21no—
363C2×C4⋊Dic71C2311yescharacteristic
364C2×C4⋊Dic71C2311yescharacteristic
365C4⋊C4×D71C2311yescharacteristic
366C4⋊C4×D71C2311yescharacteristic
367C4⋊C4×D71C2311yescharacteristic
368C4⋊C4×D71C2311yescharacteristic
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C2×(C2×D71)⋊C4—21no—
372C2×(C2×D71)⋊C4—21no—
373C2×(C2×D71)⋊C4—21no—
374C22⋊C4×D71—21no—
375C22⋊C4×D71—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C2×C4×Dic71—21no—
380C42×D71—21no—
381#14556062C2311yescharacteristic
382#14556062C2311yescharacteristic
383#14556062C2311yescharacteristic
384#14556061C2311yescharacteristic
385#14556061C2311yescharacteristic
386#14556061C2311yescharacteristic
387#14556061C2311yescharacteristic
388#14556061C2311yescharacteristic
389#14556061C2311yescharacteristic
390#14556061C2311yescharacteristic
391#14556061C2311yescharacteristic
392#14556060C2311yescharacteristic
393#14556060C2311yescharacteristic
394#14556060C2311yescharacteristic
395#14556060C2311yescharacteristic
396#14556060C2311yescharacteristic
397#14556060C2311yescharacteristic
398#14556059C2311yescharacteristic
399#14556059C2311yescharacteristic
400#14556059C2311yescharacteristic
401#14556059C2311yescharacteristic
402#14556059C2311yescharacteristic
403#14556059C2311yescharacteristic
404#14556059C2311yescharacteristic
405#14556059C2311yescharacteristic
406#14556059C2311yescharacteristic
407#14556059C2311yescharacteristic
408C4⋊(C71⋊C8)C2311yescharacteristic
409Dic71⋊C8C2311yescharacteristic
410Dic71⋊C8C2311yescharacteristic
411#14556050C2311yescharacteristic
412#14556050C2311yescharacteristic
413#14556050C2311yescharacteristic
414#14556050C2311yescharacteristic
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556049C2311yescharacteristic
418#14556049C2311yescharacteristic
419#14556049C2311yescharacteristic
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556048C2311yescharacteristic
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429C22⋊(C71⋊C8)C2311yescharacteristic
430C22⋊(C71⋊C8)C2311yescharacteristic
431(C2×D71)⋊C8C2311yescharacteristic
432(C2×D71)⋊C8C2311yescharacteristic
433(C2×D71)⋊C8C2311yescharacteristic
434(C2×D71)⋊C8C2311yescharacteristic
435#14556039C2311yescharacteristic
436#14556038C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×D8×C71C2311yescharacteristic
439C2×M16×C71C2311yescharacteristic
440C2×M16×C71C2311yescharacteristic
441#126×C71—21no—
442#126×C71—21no—
443#125×C71C2311yescharacteristic
444#125×C71C2311yescharacteristic
445#123×C71—21no—
446#123×C71—21no—
447#121×C71—21no—
448#121×C71—21no—
449#121×C71C2311yescharacteristic
450#121×C71C2311yescharacteristic
451#121×C71C2311yescharacteristic
452#121×C71C2311yescharacteristic
453C4×D4×C71—21no—
454C4×D4×C71—21no—
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458#117×C71C2311yescharacteristic
459#117×C71C2311yescharacteristic
460C2×C4⋊C4×C71C2311yescharacteristic
461C2×C4⋊C4×C71C2311yescharacteristic
462#107×C71C2311yescharacteristic
463#107×C71C2311yescharacteristic
464#107×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#107×C71C2311yescharacteristic
467#106×C71C2311yescharacteristic
468#106×C71C2311yescharacteristic
469#106×C71C2311yescharacteristic
470#106×C71C2311yescharacteristic
471C4⋊C8×C71C2311yescharacteristic
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71—21no—
483C23×D71C2×D411yescharacteristic
484#11765865—22no—
485#11765865—22no—
486#11765865—82no—
487#11765865—82no—
488#11765864—82no—
489#11765864—82no—
490C2×Dic142—21no—
491C2×Dic142—21no—
492C2×Dic142—21no—
493C2×Dic142—21no—
494C2×Dic142C2×D411yescharacteristic
495C2×D284—21no—
496C2×D284—21no—
497C2×D284—21no—
498C2×D284—21no—
499C2×D284C2×D411yescharacteristic
500C2×D284C2×D411yescharacteristic
501C2×D284C2411yescharacteristic
502C2×D284C2411yescharacteristic
503C2×C22⋊D71—21no—
504C2×C22⋊D71—21no—
505C2×C22⋊D71—21no—
506C2×C22⋊D71—21no—
507C2×C22⋊D71—21no—
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510C2×C22⋊D71—21no—
511C2×C22⋊D71—21no—
512C2×C22⋊D71—21no—
513C2×C22⋊D71C2×D411yescharacteristic
514C2×C22⋊D71C2×D411yescharacteristic
515C2×C22⋊D71C2×D411yescharacteristic
516C2×C22⋊D71C2×D411yescharacteristic
517D4×D71—22no—
518D4×D71—22no—
519D4×D71—22no—
520D4×D71—22no—
521D4×D71—82no—
522D4×D71—82no—
523C22×Dic71—21no—
524C22×Dic71—21no—
525C22×Dic71—21no—
526C22×Dic71—21no—
527C22×Dic71C2×D411yescharacteristic
528C2×C4×D71—22no—
529C2×C4×D71—22no—
530C2×C4×D71—21no—
531C2×C4×D71—21no—
532C2×C4×D71—21no—
533C2×C4×D71—21no—
534C2×C4×D71—21no—
535C2×C4×D71—21no—
536C2×C4×D71—21no—
537C2×C4×D71—21no—
538C2×C4×D71—21no—
539C2×C4×D71—21no—
540C2×C4×D71C2×D411yescharacteristic
541C2×C4×D71C2×D411yescharacteristic
542C2×C4×D71C2411yescharacteristic
543C2×C4×D71C2411yescharacteristic
544C2×C4×D71C2411yescharacteristic
545D568—22no—
546#11765850—22no—
547#11765850—22no—
548#11765849—22no—
549#11765848—22no—
550#11765848—22no—
551#11765848—22no—
552#11765848—22no—
553#11765848—22no—
554C2×C71⋊C8—22no—
555C2×C71⋊C8C2411yescharacteristic
556C2×C71⋊C8C2411yescharacteristic
557C2×C71⋊C8C2411yescharacteristic
558C2×C71⋊C8C2411yescharacteristic
559C8×D71—22no—
560C8×D71—22no—
561C8×D71#4114yescomplemented
562C4⋊Dic71—21no—
563C4⋊Dic71—21no—
564C4⋊Dic71—21no—
565C4⋊Dic71—21no—
566C4⋊Dic71—21no—
567C4⋊Dic71—21no—
568C4⋊Dic71C2×D411yescharacteristic
569C4⋊Dic71C2411yescharacteristic
570C4⋊Dic71C2411yescharacteristic
571C4⋊Dic71C2411yescharacteristic
572C4⋊Dic71C2411yescharacteristic
573C4⋊Dic71C2411yescharacteristic
574C4⋊Dic71C2411yescharacteristic
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579Dic71⋊C4—21no—
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4—21no—
585Dic71⋊C4C2×D411yescharacteristic
586Dic71⋊C4C2×D411yescharacteristic
587Dic71⋊C4C2×D411yescharacteristic
588Dic71⋊C4C2×D411yescharacteristic
589C22⋊Dic71—21no—
590C22⋊Dic71—21no—
591C22⋊Dic71—21no—
592C22⋊Dic71—21no—
593C22⋊Dic71—21no—
594C22⋊Dic71—21no—
595C22⋊Dic71—21no—
596C22⋊Dic71—21no—
597C22⋊Dic71C2×D411yescharacteristic
598C22⋊Dic71C2×D411yescharacteristic
599(C2×D71)⋊C4—21no—
600(C2×D71)⋊C4—21no—
601(C2×D71)⋊C4—21no—
602(C2×D71)⋊C4—21no—
603(C2×D71)⋊C4—21no—
604(C2×D71)⋊C4—21no—
605(C2×D71)⋊C4—21no—
606(C2×D71)⋊C4—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4C2×D411yescharacteristic
620(C2×D71)⋊C4C2×D411yescharacteristic
621(C2×D71)⋊C4C2×D411yescharacteristic
622(C2×D71)⋊C4C2×D411yescharacteristic
623(C2×D71)⋊C4C2×D411yescharacteristic
624(C2×D71)⋊C4C2×D411yescharacteristic
625C4×Dic71—21no—
626C4×Dic71—21no—
627C4×Dic71—21no—
628C4×Dic71—21no—
629C4×Dic71—21no—
630C4×Dic71—21no—
631C4×Dic71—21no—
632C4×Dic71—21no—
633C4×Dic71—21no—
634C4×Dic71—21no—
635C4×Dic71C2411yescharacteristic
636C2×D4×C71—21no—
637C2×D4×C71—21no—
638C2×D4×C71—21no—
639C2×D4×C71—21no—
640C2×D4×C71C2×D411yescharacteristic
641C2×D4×C71C2411yescharacteristic
642C2×D4×C71C2411yescharacteristic
643C22×C4×C71—21no—
644C22×C4×C71—21no—
645C22×C4×C71—21no—
646C22×C4×C71—21no—
647C22×C4×C71C2411yescharacteristic
648C22×C4×C71C2411yescharacteristic
649D8×C71—22no—
650M16×C71—22no—
651M16×C71—22no—
652C2×C8×C71C2411yescharacteristic
653C2×C8×C71C2411yescharacteristic
654C2×C8×C71C2411yescharacteristic
655C2×C8×C71C2411yescharacteristic
656C4⋊C4×C71—21no—
657C4⋊C4×C71—21no—
658C4⋊C4×C71—21no—
659C4⋊C4×C71—21no—
660C4⋊C4×C71—21no—
661C4⋊C4×C71—21no—
662C4⋊C4×C71C2×D411yescharacteristic
663C4⋊C4×C71C2411yescharacteristic
664C4⋊C4×C71C2411yescharacteristic
665C4⋊C4×C71C2411yescharacteristic
666C4⋊C4×C71C2411yescharacteristic
667C4⋊C4×C71C2411yescharacteristic
668C4⋊C4×C71C2411yescharacteristic
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71C2×D411yescharacteristic
678C22⋊C4×C71C2×D411yescharacteristic
679C42×C71—21no—
680C42×C71—21no—
681C42×C71C2411yescharacteristic
682C23×C71—21no—
683C23×C71—21no—
684C23×C71C22×D411yescharacteristic
685C23×C71C22×D411yescharacteristic
686C22×D71—22no—
687C22×D71—21no—
688C22×D71—21no—
689C22×D71—41no—
690C22×D71—41no—
691C22×D71—42no—
692C22×D71—42no—
693C22×D71—81no—
694C22×D71—81no—
695C22×D71—81no—
696C22×D71—81no—
697C22×D71C22×D411yescharacteristic
698C22×D71C22×D411yescharacteristic
699C22×D71C22×D411yescharacteristic
700D4×C71—21no—
701D4×C71—21no—
702D4×C71—21no—
703D4×C71—21no—
704D4×C71—41no—
705D4×C71—42no—
706D4×C71—81no—
707D4×C71—81no—
708D4×C71—81no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—21no—
715C2×C4×C71—21no—
716C2×C4×C71—21no—
717C2×C4×C71—21no—
718C2×C4×C71—21no—
719C2×C4×C71—81no—
720C2×C4×C71—81no—
721C2×C4×C71—81no—
722C2×C4×C71—81no—
723C2×C4×C71C22×D411yescharacteristic
724C2×C4×C71C22×D411yescharacteristic
725C2×C4×C71C22×D411yescharacteristic
726C2×C4×C71C22×D411yescharacteristic
727C2×C4×C71C2511yescharacteristic
728C22⋊D71—22no—
729C22⋊D71—22no—
730C22⋊D71—41no—
731C22⋊D71—41no—
732C22⋊D71—42no—
733C22⋊D71—42no—
734C22⋊D71—42no—
735C22⋊D71—42no—
736C22⋊D71—81no—
737C22⋊D71—81no—
738C22⋊D71—81no—
739C22⋊D71—81no—
740C22⋊D71—81no—
741C22⋊D71—81no—
742C2×Dic71—22no—
743C2×Dic71—21no—
744C2×Dic71—21no—
745C2×Dic71—21no—
746C2×Dic71—21no—
747C2×Dic71—21no—
748C2×Dic71—21no—
749C2×Dic71—42no—
750C2×Dic71—81no—
751C2×Dic71—81no—
752C2×Dic71—81no—
753C2×Dic71C22×D411yescharacteristic
754C2×Dic71C22×D411yescharacteristic
755C2×Dic71C22×D411yescharacteristic
756C2×Dic71C22×D411yescharacteristic
757C2×Dic71C22×D411yescharacteristic
758D284—22no—
759D284—21no—
760D284—21no—
761D284—21no—
762D284—21no—
763D284—41no—
764D284—42no—
765D284—81no—
766D284—81no—
767D284—81no—
768C4×D71—22no—
769C4×D71—21no—
770C4×D71—21no—
771C4×D71—21no—
772C4×D71—21no—
773C4×D71—22no—
774C4×D71—42no—
775C4×D71—81no—
776C4×D71—81no—
777C4×D71—81no—
778C4×D71—81no—
779C4×D71—81no—
780C4×D71—81no—
781C4×D71—81no—
782C4×D71—81no—
783C4×D71—81no—
784C4×D71C2×#4112yes—
785C4×D712−1+412yes—
786Dic142—22no—
787Dic142—81no—
788Dic142—81no—
789Dic142—81no—
790Dic142—81no—
791C8×C71—21no—
792C8×C71—21no—
793C8×C71—21no—
794C8×C71C2×#4112yes—
795C71⋊C8—21no—
796C71⋊C8—21no—
797C71⋊C8—21no—
798C71⋊C8C2×#4112yes—
799C22×C71—21no—
800C22×C71—21no—
801C22×C71—21no—
802C22×C71—21no—
803C22×C71—21no—
804C22×C71—21no—
805C22×C71—41no—
806C22×C71—41no—
807C22×C71—41no—
808C22×C71—41no—
809C22×C71—41no—
810C22×C71—41no—
811C22×C71C23×D411yescharacteristic
812C2×D71—21no—
813C2×D71—21no—
814C2×D71—21no—
815C2×D71—21no—
816C2×D71—21no—
817C2×D71—21no—
818C2×D71—21no—
819C2×D71—21no—
820C2×D71—41no—
821C2×D71—41no—
822C2×D71—41no—
823C2×D71—41no—
824C2×D71—41no—
825C2×D71—41no—
826C2×D71—82no—
827C2×D71—162no—
828C2×D71—162no—
829C2×D71#54712yes—
830C4×C71—21no—
831C4×C71—21no—
832C4×C71—21no—
833C4×C71—21no—
834C4×C71—41no—
835C4×C71—41no—
836C4×C71—41no—
837C4×C71—41no—
838C4×C71—41no—
839C4×C71—41no—
840C4×C71C22×#4111yescharacteristic
841C4×C71C2×2−1+411yescharacteristic
842Dic71—21no—
843Dic71—21no—
844Dic71—21no—
845Dic71—21no—
846Dic71—41no—
847Dic71—41no—
848Dic71—41no—
849Dic71—41no—
850Dic71—41no—
851Dic71—41no—
852Dic71#54712yes—
853#61267—711nomaximal, Sylow
854C2×C71—41no—
855C2×C71—41no—
856C2×C71—81no—
857C2×C71—81no—
858C2×C71C2×#54711yescharacteristic
859C2×C71#358511yescharacteristic
860C2×C71#358511yescharacteristic
861D71—22no—
862D71—41no—
863D71—41no—
864D71—81no—
865D71—81no—
866#3494—711no—
867#3494—711no—
868#3355—711no—
869#3355—711no—
870#3355—711no—
871#3355D7111yescharacteristic, complemented
872#3354—711no—
873#3354—711no—
874#3354—711no—
875#3354—711no—
876#3347—711no—
877#3347—711no—
878#3347—711no—
879#3347—711no—
880#3345—711no—
881#3345—711no—
882#3345—711no—
883#3345—711no—
884#3163—711no—
885#3096—711no—
886#3096—711no—
887#3094—711no—
888#3094—711no—
889#3081—711no—
890#3081—711no—
891#3058—711no—
892C2×#469—711no—
893#2948—711no—
894#2930—711no—
895#2912—711no—
896#2911—711no—
897C71#6126711yescharacteristic, complemented, Sylow
898C22×D8—711no—
899C2×#131—711no—
900C22×M16—711no—
901#555—711no—
902#555—711no—
903#555—711no—
904#555—711no—
905#553—711no—
906#553—711no—
907#553—711no—
908#553—711no—
909#553—711no—
910#553—711no—
911#553C2×D7111yescharacteristic, complemented
912#553C2×D7111yescharacteristic, complemented
913#551—1421no—
914#551—1421no—
915#551—1421no—
916#551—1421no—
917#547—711no—
918#547—711no—
919#547—711no—
920#547—711no—
921#546—1421no—
922#546—1421no—
923#546—1421no—
924#546—1421no—
925#544—711no—
926#544—711no—
927#542—1421no—
928#542—1421no—
929#540—1421no—
930#540—1421no—
931#535—711no—
932#535—711no—
933#532—1421no—
934#532—1421no—
935#529—1421no—
936#529—1421no—
937#525—711no—
938C2×#121—711no—
939C2×#121—711no—
940#520—711no—
941#520—711no—
942#518—711no—
943#518—711no—
944C2×#117—711no—
945C2×#117—711no—
946#501—711no—
947#501—711no—
948#501—711no—
949#501—711no—
950#499—711no—
951#499C2×D7111yescharacteristic, complemented
952#498—711no—
953#498—711no—
954#482—711no—
955#482—711no—
956#482—711no—
957#482—711no—
958#482—711no—
959#482—711no—
960#482—711no—
961#482—711no—
962#482—711no—
963#482—711no—
964#482—711no—
965#482—711no—
966#482—711no—
967#482—711no—
968#482C2×D7111yescharacteristic, complemented
969#482C2×D7111yescharacteristic, complemented
970#481—711no—
971#481—711no—
972#481—711no—
973#481—711no—
974#481—711no—
975#481—711no—
976#481—711no—
977#481—711no—
978#480—711no—
979#480—711no—
980#480—711no—
981#480—711no—
982#480—711no—
983#480—711no—
984#480C2×D7111yescharacteristic, complemented
985#480C2×D7111yescharacteristic, complemented
986#478—711no—
987#478—711no—
988#478—711no—
989#478—711no—
990#478—711no—
991#478—711no—
992#478C2×D7111yescharacteristic, complemented
993#478C2×D7111yescharacteristic, complemented
994#476—711no—
995#476—711no—
996#476—711no—
997#476—711no—
998#474—711no—
999#474—711no—
1000#474—711no—
1001#474—711no—
1002#469—711no—
1003#469—711no—
1004#469—711no—
1005#469—711no—
1006#469—711no—
1007#469—711no—
1008#469—711no—
1009#469—711no—
1010#469—711no—
1011#469—711no—
1012#469C2×D7111yescharacteristic
1013#469C2×D7111yescharacteristic, complemented
1014#466—711no—
1015#466—711no—
1016#466—711no—
1017#466—711no—
1018#442—711no—
1019#442—711no—
1020#442—711no—
1021#442—711no—
1022C4×D8—711no—
1023C4×D8—711no—
1024C4×D8—711no—
1025C4×D8C2×D7111yescharacteristic, complemented
1026#436—711no—
1027#436—711no—
1028#436—711no—
1029#436C2×D7111yescharacteristic, complemented
1030#435—711no—
1031#435—711no—
1032#435—711no—
1033#435—711no—
1034#428—711no—
1035#428—711no—
1036#428—711no—
1037#428—711no—
1038#428—711no—
1039#428—711no—
1040#428—711no—
1041#428—711no—
1042#428—711no—
1043#428—711no—
1044#428—711no—
1045#428—711no—
1046#428—711no—
1047#428—711no—
1048#428C2×D7111yescharacteristic, complemented
1049#428C2×D7111yescharacteristic, complemented
1050#427—711no—
1051#427—711no—
1052#427—711no—
1053#427—711no—
1054#427—711no—
1055#427—711no—
1056C2×#106—711no—
1057C2×#106—711no—
1058C2×#106—711no—
1059#424—711no—
1060#418—711no—
1061#418—711no—
1062#418—711no—
1063#418—711no—
1064C2×#102—711no—
1065C2×#102—711no—
1066#408—711no—
1067#407—711no—
1068#405—711no—
1069C2×#41—711no—
1070C2×#41—1421no—
1071C2×#41—1421no—
1072C2×#41—1421no—
1073C2×#41—1421no—
1074C22×D4—711no—
1075C22×D4—711no—
1076C22×D4—1421no—
1077C22×D4—1421no—
1078C23×C4—711no—
1079C2×D8—711no—
1080C2×D8—711no—
1081C2×D8—711no—
1082C2×D8—1424no—
1083C2×D8C22×D7111yescharacteristic
1084#131—1424no—
1085C2×M16—711no—
1086C2×M16—711no—
1087C2×M16—711no—
1088C2×M16—711no—
1089C2×M16—711no—
1090C2×M16—711no—
1091C2×M16—1424no—
1092C2×M16C22×D7111yescharacteristic
1093C2×M16C22×D7111yescharacteristic
1094C22×C8—711no—
1095C22×C8—711no—
1096C22×C8—711no—
1097C22×C8—711no—
1098C4⋊Q8—711no—
1099C4⋊Q8—711no—
1100C4⋊Q8—711no—
1101C4⋊Q8—711no—
1102C4⋊Q8—1421no—
1103C4⋊Q8—1421no—
1104#127—1421no—
1105#127—1421no—
1106#126—21no—
1107#126—21no—
1108#126—1421no—
1109#126—1421no—
1110#126—1421no—
1111#126—1421no—
1112#126—1421no—
1113#126—1421no—
1114#125—711no—
1115#125—711no—
1116#125—1421no—
1117#125—1421no—
1118#125C22×D7111yescharacteristic
1119#125C22×D7111yescharacteristic
1120#124—1421no—
1121#124—1421no—
1122#124—1421no—
1123#124—1421no—
1124#124—1421no—
1125#124—1421no—
1126#124—1421no—
1127#124—1421no—
1128#124—1421no—
1129#124—1421no—
1130#123—21no—
1131#123—21no—
1132#123—711no—
1133#123—711no—
1134#123—1421no—
1135#123—1421no—
1136#123—1421no—
1137#123—1421no—
1138#123—1421no—
1139#123—1421no—
1140#123—1421no—
1141#123—1421no—
1142#123—1421no—
1143#123—1421no—
1144#123—1421no—
1145#123—1421no—
1146#123—1421no—
1147#123—1421no—
1148C22⋊Q8—711no—
1149C22⋊Q8—711no—
1150C22⋊Q8—1421no—
1151C22⋊Q8—1421no—
1152C22⋊Q8—1421no—
1153C22⋊Q8—1421no—
1154C22⋊Q8—1421no—
1155C22⋊Q8—1421no—
1156C22⋊Q8—1421no—
1157C22⋊Q8—1421no—
1158#121—21no—
1159#121—21no—
1160#121—711no—
1161#121—711no—
1162#121—711no—
1163#121—711no—
1164#121—711no—
1165#121—711no—
1166#121—711no—
1167#121—711no—
1168#121—711no—
1169#121—711no—
1170#121—711no—
1171#121—711no—
1172#121—711no—
1173#121—711no—
1174#121—1421no—
1175#121—1421no—
1176#121—1421no—
1177#121—1421no—
1178#121—1421no—
1179#121—1421no—
1180#121—1421no—
1181#121—1421no—
1182#121—1421no—
1183#121—1421no—
1184#121—1421no—
1185#121—1421no—
1186#121—1421no—
1187#121—1421no—
1188#121C22×D7111yescharacteristic
1189#121C22×D7111yescharacteristic
1190#121C22×D7111yescharacteristic
1191#121C22×D7111yescharacteristic
1192#120—711no—
1193#120—711no—
1194#120—1421no—
1195#120—1421no—
1196#120—1421no—
1197#120—1421no—
1198C4×Q8—1421no—
1199C4×Q8—1421no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—711no—
1203C4×D4—711no—
1204C4×D4—711no—
1205C4×D4—711no—
1206C4×D4—711no—
1207C4×D4—711no—
1208C4×D4—711no—
1209C4×D4—711no—
1210C4×D4—711no—
1211C4×D4—1421no—
1212C4×D4—1421no—
1213C4×D4—1421no—
1214C4×D4—1421no—
1215C4×D4—1421no—
1216C4×D4—1421no—
1217C4×D4—1421no—
1218C4×D4—1421no—
1219C4×D4—1421no—
1220C4×D4—1421no—
1221C4×D4—1421no—
1222C4×D4—1421no—
1223C4×D4—1421no—
1224C4×D4—1421no—
1225C4×D4—1421no—
1226C4×D4—1421no—
1227C4×D4C22×D7111yescharacteristic
1228C4×D4C22×D7111yescharacteristic
1229C4×D4C22×D7111yescharacteristic
1230#117—711no—
1231#117—711no—
1232#117—711no—
1233#117—711no—
1234#117—711no—
1235#117—711no—
1236#117—711no—
1237#117—711no—
1238#117—711no—
1239#117—711no—
1240#117—711no—
1241#117—1421no—
1242#117—1421no—
1243#117—1421no—
1244#117—1421no—
1245#117—1421no—
1246#117—1421no—
1247#117—1421no—
1248#117—1421no—
1249#117C22×D7111yescharacteristic
1250#117C22×D7111yescharacteristic
1251C2×C4⋊C4—711no—
1252C2×C4⋊C4—711no—
1253C2×C4⋊C4—711no—
1254C2×C4⋊C4—711no—
1255C2×C4⋊C4—711no—
1256C2×C4⋊C4—711no—
1257C2×C4⋊C4—711no—
1258C2×C4⋊C4—711no—
1259C2×C4⋊C4C22×D7111yescharacteristic
1260C2×C4⋊C4C22×D7111yescharacteristic
1261C2×C22⋊C4—1421no—
1262C2×C22⋊C4—1421no—
1263C2×C22⋊C4—1421no—
1264C2×C22⋊C4—1421no—
1265C2×C22⋊C4—1421no—
1266C2×C22⋊C4—1421no—
1267C2×C22⋊C4—1421no—
1268C2×C22⋊C4—1421no—
1269C2×C42—1421no—
1270C2×C42—1421no—
1271#107—711no—
1272#107—711no—
1273#107—711no—
1274#107—711no—
1275#107—711no—
1276#107—711no—
1277#107—711no—
1278#107—711no—
1279#107—711no—
1280#107—711no—
1281#107—711no—
1282#107C22×D7111yescharacteristic
1283#107C22×D7111yescharacteristic
1284#107C22×D7111yescharacteristic
1285#107C22×D7111yescharacteristic
1286#107C22×D7111yescharacteristic
1287#106—711no—
1288#106—711no—
1289#106—711no—
1290#106—711no—
1291#106—711no—
1292#106—711no—
1293#106—711no—
1294#106—711no—
1295#106—711no—
1296#106—711no—
1297#106—711no—
1298#106—711no—
1299#106—711no—
1300#106—711no—
1301#106—711no—
1302#106—711no—
1303#106C22×D7111yescharacteristic
1304#106C22×D7111yescharacteristic
1305#106C22×D7111yescharacteristic
1306#106C22×D7111yescharacteristic
1307C4⋊C8—711no—
1308C4⋊C8—711no—
1309C4⋊C8—711no—
1310C4⋊C8C22×D7111yescharacteristic
1311#102—711no—
1312#102—711no—
1313#102—711no—
1314#102—711no—
1315#102—711no—
1316#102—711no—
1317#102—711no—
1318#102—711no—
1319#102—711no—
1320#102—711no—
1321#102—711no—
1322#102—711no—
1323#102—711no—
1324#102—711no—
1325#102—711no—
1326#102—711no—
1327#102—711no—
1328#102—711no—
1329#102C22×D7111yescharacteristic
1330#102C22×D7111yescharacteristic
1331#102C22×D7111yescharacteristic
1332#102C22×D7111yescharacteristic
1333#102C22×D7111yescharacteristic
1334#102C22×D7111yescharacteristic
1335C22⋊C8—711no—
1336C22⋊C8—711no—
1337C22⋊C8—711no—
1338C22⋊C8—711no—
1339C22⋊C8—711no—
1340C22⋊C8—711no—
1341C22⋊C8C22×D7111yescharacteristic
1342C22⋊C8C22×D7111yescharacteristic
1343#97—711no—
1344#97—711no—
1345C4×C8—711no—
1346C4×C8C22×D7111yescharacteristic
1347C24—711no—
1348C24—1421no—
1349C24—1421no—
1350#41—5682no—
1351#41—5682no—
1352#41—5682no—
1353#41—5682no—
1354#41—1422no—
1355#41—1422no—
1356C2×Q8—711no—
1357C2×Q8—1421no—
1358C2×Q8—1421no—
1359C2×Q8—1421no—
1360C2×Q8—1421no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—5682no—
1366C2×D4—5682no—
1367C2×D4—711no—
1368C2×D4—711no—
1369C2×D4—711no—
1370C2×D4—711no—
1371C2×D4—711no—
1372C2×D4—711no—
1373C2×D4—711no—
1374C2×D4—711no—
1375C2×D4—1421no—
1376C2×D4—1421no—
1377C2×D4—1421no—
1378C2×D4—1421no—
1379C2×D4—1422no—
1380C2×D4—1422no—
1381C2×D4—1422no—
1382C2×D4—1422no—
1383C2×D4—1421no—
1384C2×D4—1421no—
1385C2×D4—1421no—
1386C2×D4—1421no—
1387C2×D4—1421no—
1388C2×D4—1421no—
1389C2×D4—1421no—
1390C2×D4—1421no—
1391C2×D4—1421no—
1392C2×D4—1421no—
1393C2×D4D4×D7111yescharacteristic
1394C2×D4C23×D7111yescharacteristic
1395C2×D4C23×D7111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—711no—
1401C22×C4—711no—
1402C22×C4—711no—
1403C22×C4—711no—
1404C22×C4—711no—
1405C22×C4—711no—
1406C22×C4—1421no—
1407C22×C4—1421no—
1408C22×C4—1421no—
1409C22×C4—1421no—
1410C22×C4—1421no—
1411C22×C4—1421no—
1412C22×C4—1421no—
1413C22×C4—1421no—
1414C22×C4—1422no—
1415C22×C4—1422no—
1416C22×C4—1421no—
1417C22×C4—1421no—
1418C22×C4—1421no—
1419C22×C4—1421no—
1420C22×C4—1421no—
1421C22×C4—1421no—
1422C22×C4C23×D7111yescharacteristic
1423C22×C4C23×D7111yescharacteristic
1424D8—22no—
1425D8—1422no—
1426D8—1422no—
1427D8—1422no—
1428M16—22no—
1429M16—22no—
1430M16—1422no—
1431M16—1422no—
1432M16—1422no—
1433M16—1422no—
1434M16—1422no—
1435M16—1422no—
1436C2×C8—711no—
1437C2×C8—714no—
1438C2×C8—711no—
1439C2×C8—711no—
1440C2×C8—711no—
1441C2×C8—1422no—
1442C2×C8—1422no—
1443C2×C8—1422no—
1444C2×C8C23×D7111yescharacteristic
1445C2×C8C23×D7111yescharacteristic
1446C2×C8C23×D7111yescharacteristic
1447C2×C8C23×D7111yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—711no—
1455C4⋊C4—711no—
1456C4⋊C4—711no—
1457C4⋊C4—711no—
1458C4⋊C4—711no—
1459C4⋊C4—711no—
1460C4⋊C4—711no—
1461C4⋊C4—711no—
1462C4⋊C4—711no—
1463C4⋊C4—711no—
1464C4⋊C4—711no—
1465C4⋊C4—1421no—
1466C4⋊C4—1421no—
1467C4⋊C4—1421no—
1468C4⋊C4—1421no—
1469C4⋊C4—1421no—
1470C4⋊C4—1421no—
1471C4⋊C4—1421no—
1472C4⋊C4—1421no—
1473C4⋊C4—1421no—
1474C4⋊C4—1421no—
1475C4⋊C4—1421no—
1476C4⋊C4—1421no—
1477C4⋊C4—1421no—
1478C4⋊C4—1421no—
1479C4⋊C4—1421no—
1480C4⋊C4—1421no—
1481C4⋊C4D4×D7111yescharacteristic
1482C4⋊C4C23×D7111yescharacteristic
1483C4⋊C4C23×D7111yescharacteristic
1484C4⋊C4C23×D7111yescharacteristic
1485C4⋊C4C23×D7111yescharacteristic
1486C4⋊C4C23×D7111yescharacteristic
1487C4⋊C4C23×D7111yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—711no—
1497C22⋊C4—711no—
1498C22⋊C4—711no—
1499C22⋊C4—711no—
1500C22⋊C4—711no—
1501C22⋊C4—711no—
1502C22⋊C4—711no—
1503C22⋊C4—711no—
1504C22⋊C4—1421no—
1505C22⋊C4—1421no—
1506C22⋊C4—1421no—
1507C22⋊C4—1421no—
1508C22⋊C4—1421no—
1509C22⋊C4—1421no—
1510C22⋊C4—1421no—
1511C22⋊C4—1421no—
1512C22⋊C4—1421no—
1513C22⋊C4—1421no—
1514C22⋊C4—1421no—
1515C22⋊C4—1421no—
1516C22⋊C4—1421no—
1517C22⋊C4—1421no—
1518C22⋊C4—1421no—
1519C22⋊C4—1421no—
1520C22⋊C4—1421no—
1521C22⋊C4—1421no—
1522C22⋊C4—1421no—
1523C22⋊C4—1421no—
1524C22⋊C4—1421no—
1525C22⋊C4—1421no—
1526C22⋊C4—1421no—
1527C22⋊C4—1421no—
1528C22⋊C4—1421no—
1529C22⋊C4—1421no—
1530C22⋊C4—1421no—
1531C22⋊C4—1421no—
1532C22⋊C4D4×D7111yescharacteristic
1533C22⋊C4D4×D7111yescharacteristic
1534C42—21no—
1535C42—21no—
1536C42—711no—
1537C42—1421no—
1538C42—1421no—
1539C42—1421no—
1540C42—1421no—
1541C42—1421no—
1542C42—1421no—
1543C42—1421no—
1544C42—1421no—
1545C42—1421no—
1546C42—1421no—
1547C42C23×D7111yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—2841no—
1551C23—2841no—
1552C23—2842no—
1553C23—2842no—
1554C23—5681no—
1555C23—5681no—
1556C23—5681no—
1557C23—5681no—
1558C23—711no—
1559C23—711no—
1560C23—711no—
1561C23—1422no—
1562C23—1421no—
1563C23—1421no—
1564C23C2×D4×D7111yescharacteristic
1565C23C2×D4×D7111yescharacteristic
1566Q8—5681no—
1567Q8—5681no—
1568Q8—5681no—
1569Q8—5681no—
1570Q8—1422no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—2841no—
1581D4—2842no—
1582D4—2842no—
1583D4—2842no—
1584D4—2842no—
1585D4—2842no—
1586D4—2841no—
1587D4—2841no—
1588D4—5681no—
1589D4—5681no—
1590D4—5681no—
1591D4—5681no—
1592D4—5681no—
1593D4—5681no—
1594D4—5681no—
1595D4—5681no—
1596D4—5681no—
1597D4—1422no—
1598D4—1422no—
1599D4—1422no—
1600D4—1421no—
1601D4—1421no—
1602D4—1421no—
1603D4—1421no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—2842no—
1619C2×C4—2842no—
1620C2×C4—5681no—
1621C2×C4—5681no—
1622C2×C4—5681no—
1623C2×C4—5681no—
1624C2×C4—5681no—
1625C2×C4—5681no—
1626C2×C4—5681no—
1627C2×C4—5681no—
1628C2×C4—5681no—
1629C2×C4—5681no—
1630C2×C4—5681no—
1631C2×C4—5681no—
1632C2×C4—711no—
1633C2×C4—712no—
1634C2×C4—712no—
1635C2×C4—711no—
1636C2×C4—711no—
1637C2×C4—711no—
1638C2×C4—711no—
1639C2×C4—1422no—
1640C2×C4—1422no—
1641C2×C4—1421no—
1642C2×C4—1421no—
1643C2×C4—1421no—
1644C2×C4—1421no—
1645C2×C4—1421no—
1646C2×C4—1421no—
1647C2×C4—1422no—
1648C2×C4—1421no—
1649C2×C4—1421no—
1650C2×C4—1421no—
1651C2×C4—1421no—
1652C2×C4C2×D4×D7111yescharacteristic
1653C2×C4C2×D4×D7111yescharacteristic
1654C2×C4C2×D4×D7111yescharacteristic
1655C2×C4C2×D4×D7111yescharacteristic
1656C2×C4C24×D7111yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—712no—
1661C8—1421no—
1662C8—1421no—
1663C8—1421no—
1664C8#41×D7112yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—2841no—
1678C22—2841no—
1679C22—2841no—
1680C22—2841no—
1681C22—2841no—
1682C22—2841no—
1683C22—5682no—
1684C22—712no—
1685C22—11362no—
1686C22—11362no—
1687C22—1421no—
1688C22—1421no—
1689C22—1421no—
1690C22—1421no—
1691C22—1421no—
1692C22—1421no—
1693C22—1421no—
1694C22—1421no—
1695C22C22×D4×D7111yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—2841no—
1707C4—2841no—
1708C4—2841no—
1709C4—2841no—
1710C4—2841no—
1711C4—2841no—
1712C4—712no—
1713C4—1421no—
1714C4—1421no—
1715C4—1421no—
1716C4—1421no—
1717C4C2×#41×D7111yescharacteristic
1718C42−1+4×D7111yescharacteristic
1719C2—41no—
1720C2—41no—
1721C2—81no—
1722C2—81no—
1723C2—2841no—
1724C2—2841no—
1725C2—5681no—
1726C2—5681no—
1727C2—1422no—
1728C2#547×D7111yescharacteristic
1729C2#2260311511yescharacteristic
1730C2#2260311711yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3355C2
socleC22×C71C23×D4
hypercenter#3355D71
hypocenterC71#61267
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3355

Complements

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

NH ≅ G/Ntype
1. #22602071C2semidirect
2. #22602068C2semidirect
3. #22600944C2semidirect
4. #22600942C2semidirect
5. #22600941C2semidirect
6. #22600937C2semidirect
7. #22600936C2semidirect
8. #22600931C2semidirect
9. #22600930C2semidirect
10. #22600844C2semidirect
11. #22600843C2semidirect
12. #22600837C2semidirect
13. #22600834C2semidirect
14. #22600814C2semidirect
15. #22600813C2semidirect
16. #22600807C2semidirect
17. #22600804C2semidirect
18. #22598869C2semidirect
19. #22598293C2semidirect
20. #22598291C2semidirect
21. #22598279C2semidirect
22. #22598275C2semidirect
23. #22598170C2semidirect
24. #22598168C2semidirect
25. #22597986C2semidirect
26. #469×D71C2semidirect
27. #22597187C2semidirect
28. #22597040C2semidirect
29. #22596934C2semidirect
30. #22596927C2semidirect
31. C71×#3355C2semidirect
35. #17986714C22semidirect
36. #17986714C22semidirect
37. #17986713C22semidirect
38. #17986712C22semidirect
39. #17986702C22semidirect
40. #17986702C22semidirect
41. #17986701C22semidirect
42. #17986697C22semidirect
43. #17986696C22semidirect
44. #17986693C22semidirect
49. #17986654C22semidirect
50. #17986653C22semidirect
51. #17986650C22semidirect
52. #17986649C22semidirect
78. #17986409C22semidirect
79. #17986409C22semidirect
80. #17986407C22semidirect
81. #17986407C22semidirect
82. #17986399C22semidirect
83. #17986397C22semidirect
84. #17986396C22semidirect
85. #17986326C22semidirect
86. #17986326C22semidirect
87. #17986326C22semidirect
88. #17986325C22semidirect
89. #17986324C22semidirect
90. #17986324C22semidirect
91. #17986323C22semidirect
92. #17986323C22semidirect
93. #17986322C22semidirect
94. #17986322C22semidirect
95. #17986322C22semidirect
96. #17986321C22semidirect
97. #17986320C22semidirect
98. #17986320C22semidirect
99. #17986319C22semidirect
100. #17986318C22semidirect
101. #17986318C22semidirect
102. #17986317C22semidirect
103. #17986316C22semidirect
104. #17986316C22semidirect
105. #17986316C22semidirect
106. #17986315C22semidirect
107. #17986314C22semidirect
108. #17986314C22semidirect
109. #17986314C22semidirect
110. #17986312C22semidirect
111. #17986311C22semidirect
112. #17986310C22semidirect
113. #17986302C22semidirect
114. #17986301C22semidirect
115. #17986298C22semidirect
116. #17986297C22semidirect
117. #17986296C22semidirect
118. #17986296C22semidirect
119. #17986290C22semidirect
120. #17986289C22semidirect
121. #17986288C22semidirect
122. #17986287C22semidirect
123. #17986280C22semidirect
124. #17986279C22semidirect
125. #17986278C22semidirect
126. #17986277C22semidirect
128. #17986253C22semidirect
130. #17986252C22semidirect
136. #17986249C22semidirect
137. #17986234C22semidirect
138. #17986234C22semidirect
139. #17986233C22semidirect
140. #17986233C22semidirect
141. #17986109C22semidirect
142. #17986109C22semidirect
143. #17986108C22semidirect
144. #17986108C22semidirect
145. C4×D568C22semidirect
146. D8×Dic71C22semidirect
147. #17986081C22semidirect
148. #17986078C22semidirect
149. #17986075C22semidirect
150. #17986075C22semidirect
151. #17986073C22semidirect
152. #17986071C22semidirect
153. #17986069C22semidirect
154. #17986067C22semidirect
155. #17986042C22semidirect
156. #17986041C22semidirect
157. #17986041C22semidirect
161. #17986040C22semidirect
162. #17986040C22semidirect
163. #17986040C22semidirect
164. #17986039C22semidirect
166. #17986038C22semidirect
167. #17986038C22semidirect
168. #17986038C22semidirect
171. #17986036C22semidirect
172. #17986035C22semidirect
175. C2×#14556059C22semidirect
177. #106×D71C22semidirect
188. #553×C71C22semidirect
189. #553×C71C22semidirect
190. #499×C71C22semidirect
191. #482×C71C22semidirect
192. #482×C71C22semidirect
193. #480×C71C22semidirect
194. #480×C71C22semidirect
195. #478×C71C22semidirect
196. #478×C71C22semidirect
198. #469×C71C22semidirect
199. C4×D8×C71C22semidirect
200. #436×C71C22semidirect
201. #428×C71C22semidirect
202. #428×C71C22semidirect
561. C8×D71#41semidirect
871. #3355D71semidirect
897. C71#61267semidirect
911. #553C2×D71semidirect
912. #553C2×D71semidirect
951. #499C2×D71semidirect
968. #482C2×D71semidirect
969. #482C2×D71semidirect
984. #480C2×D71semidirect
985. #480C2×D71semidirect
992. #478C2×D71semidirect
993. #478C2×D71semidirect
1013. #469C2×D71semidirect
1025. C4×D8C2×D71semidirect
1029. #436C2×D71semidirect
1048. #428C2×D71semidirect
1049. #428C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226020712
#226020682
#226009442
#226009422
#226009412
#226009372
#226009362
#226009312
#226009302
#226008442
#226008432
#226008372
#226008342
#226008142
#226008132
#226008072
#226008042
#225988692
#225982932
#225982912
#225982792
#225982752
#225981702
#225981682
#225979862
#469×D712
#225971872
#225970402
#225969342
#225969272
C71×#33552
#6126771