Finite Group Databasebeta

← #33954081

Subgroups — #33954081

Order 18688.

2192 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623225C211yesmaximal, characteristic, complemented
2C4×#41×D73C211yesmaximal, characteristic, complemented
3#22620016C211yesmaximal, characteristic, complemented
4#22620010C211yesmaximal, characteristic, complemented
5#22619997C211yesmaximal, characteristic, complemented
6#22619995C211yesmaximal, characteristic, complemented
7#22619986C211yesmaximal, characteristic, complemented
8#22619984C211yesmaximal, characteristic, complemented
9#22619983C211yesmaximal, characteristic, complemented
10#22619977C211yesmaximal, characteristic, complemented
11#22619968C211yesmaximal, characteristic, complemented
12#22619960C211yesmaximal, characteristic, complemented
13#22619951C211yesmaximal, characteristic, complemented
14#22619949C211yesmaximal, characteristic, complemented
15#22619943C211yesmaximal, characteristic, complemented
16#22619937C211yesmaximal, characteristic, complemented
17#22619929C211yesmaximal, characteristic, complemented
18#22619849C211yesmaximal, characteristic, complemented
19#22619843C211yesmaximal, characteristic, complemented
20#22619718C211yesmaximal, characteristic, complemented
21#22619716C211yesmaximal, characteristic, complemented
22#22619385C211yesmaximal, characteristic, complemented
23#22619383C211yesmaximal, characteristic, complemented
24#22619152C211yesmaximal, characteristic, complemented
25#22619146C211yesmaximal, characteristic, complemented
26C4×#14556614C211yesmaximal, characteristic, complemented
27C4×#14556612C211yesmaximal, characteristic, complemented
28C4×#14556612C211yesmaximal, characteristic, complemented
29C4×#14556610C211yesmaximal, characteristic, complemented
30#431×D73C211yesmaximal, characteristic, complemented
31C73×#3102C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556614C2211yescharacteristic
34C2×#14556612C2211yescharacteristic
35C2×#14556612C2211yescharacteristic
36C2×#14556610C2211yescharacteristic
37#17989143C2211yescharacteristic, complemented
38#17989141C2211yescharacteristic
39#17989139C2211yescharacteristic, complemented
40#17989136C2211yescharacteristic, complemented
41#17989134C2211yescharacteristic
42#17989132C2211yescharacteristic, complemented
43#17989122C2211yescharacteristic
44#17989121C2211yescharacteristic, complemented
45#17989120—21no—
46#17989120—21no—
47#17989116C2211yescharacteristic
48#17989115—21no—
49#17989114—21no—
50#17989100C2211yescharacteristic
51#17989097C2211yescharacteristic
52#17989096—21no—
53#17989095—21no—
54#41×Dic73C2211yescharacteristic
55C4×#11924029C2211yescharacteristic
56C4×#11924029C2211yescharacteristic
57C4×#11924029C2211yescharacteristic, complemented
58C4×#11924028—21no—
59C4×#11924028C2211yescharacteristic
60#17989055—21no—
61#17989055—21no—
62#17989055C2211yescharacteristic
63C4×#11924027—21no—
64C4×#11924027—21no—
65C4×#11924027—21no—
66C4×#11924027C2211yescharacteristic
67C4×#11924027C2211yescharacteristic
68C4×#11924027C2211yescharacteristic, complemented
69C4×Q8×D73C2211yescharacteristic
70C4×Q8×D73C2211yescharacteristic
71C4×D4×D73—21no—
72C4×D4×D73—21no—
73C4×D4×D73C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#117×D73—21no—
76#117×D73C2211yescharacteristic
77C2×C42×D73—21no—
78C2×C42×D73C2211yescharacteristic
79#17988929C2211yescharacteristic, complemented
80#17988928C2211yescharacteristic, complemented
81#17988925C2211yescharacteristic, complemented
82#17988924C2211yescharacteristic
83#17988921C2211yescharacteristic
84#17988919C2211yescharacteristic
85#17988916C2211yescharacteristic
86#17988912C2211yescharacteristic, complemented
87#17988911C2211yescharacteristic, complemented
88#17988908C2211yescharacteristic, complemented
89#17988907C2211yescharacteristic
90#17988904C2211yescharacteristic
91#17988902C2211yescharacteristic
92#17988899C2211yescharacteristic
93#17988895C2211yescharacteristic, complemented
94#17988894C2211yescharacteristic, complemented
95#17988891C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988810C2211yescharacteristic, complemented
108#17988809C2211yescharacteristic, complemented
109#17988806C2211yescharacteristic, complemented
110#17988803C2211yescharacteristic, complemented
111#17988802C2211yescharacteristic, complemented
112#17988799C2211yescharacteristic, complemented
113#17988796C2211yescharacteristic, complemented
114#17988795C2211yescharacteristic, complemented
115#17988791C2211yescharacteristic, complemented
116#17988790C2211yescharacteristic, complemented
117#17988786C2211yescharacteristic, complemented
118#17988785C2211yescharacteristic, complemented
119#17988781C2211yescharacteristic, complemented
120#17988780C2211yescharacteristic, complemented
121#17988751C2211yescharacteristic
122#17988749C2211yescharacteristic
123#17988747C2211yescharacteristic
124#17988744C2211yescharacteristic
125#17988741C2211yescharacteristic
126#17988739C2211yescharacteristic
127#17988736C2211yescharacteristic
128#17988734C2211yescharacteristic
129#17988732C2211yescharacteristic
130#17988730C2211yescharacteristic
131#17988727C2211yescharacteristic
132#17988724C2211yescharacteristic
133#17988722C2211yescharacteristic
134#17988719C2211yescharacteristic
135C4×Dic292C2211yescharacteristic, complemented
136Q16×Dic73C2211yescharacteristic, complemented
137#17988681C2211yescharacteristic, complemented
138C4×#11924018C2211yescharacteristic, complemented
139C4×#11924018C2211yescharacteristic, complemented
140#17988679C2211yescharacteristic, complemented
141#17988679C2211yescharacteristic, complemented
142#17988678C2211yescharacteristic, complemented
143#17988678C2211yescharacteristic, complemented
144C4×#11924017C2211yescharacteristic, complemented
145C4×#11924017C2211yescharacteristic, complemented
146SD16×Dic73C2211yescharacteristic, complemented
147SD16×Dic73C2211yescharacteristic, complemented
148C4×#11924015C2211yescharacteristic, complemented
149C4×#11924015C2211yescharacteristic, complemented
150#17988674C2211yescharacteristic, complemented
151#17988674C2211yescharacteristic, complemented
152C4×#11924016C2211yescharacteristic, complemented
153C4×#11924016C2211yescharacteristic, complemented
154#17988672C2211yescharacteristic, complemented
155#17988672C2211yescharacteristic, complemented
156C4×D584C2211yescharacteristic, complemented
157D8×Dic73C2211yescharacteristic, complemented
158#17988669C2211yescharacteristic, complemented
159C4×#11924013C2211yescharacteristic, complemented
160C4×#11924013C2211yescharacteristic, complemented
161#17988667C2211yescharacteristic, complemented
162#17988667C2211yescharacteristic, complemented
163#17988640C2211yescharacteristic, complemented
164#17988639C2211yescharacteristic
165#17988639C2211yescharacteristic
166#17988638C2211yescharacteristic
167#17988638C2211yescharacteristic
168#17988637C2211yescharacteristic, complemented
169#17988637C2211yescharacteristic, complemented
170#17988624C2211yescharacteristic, complemented
171#17988624C2211yescharacteristic, complemented
172#17988622C2211yescharacteristic, complemented
173#17988622C2211yescharacteristic, complemented
174C4⋊C8×D73C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988582C2211yescharacteristic
177#17988582C2211yescharacteristic
178#17988582C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184C22⋊C8×D73C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186C4×C8×D73C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198C4×Q16×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212#41×D73—24no—
213#41×D73—24no—
214C2×Q8×D73C2311yescharacteristic
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219C22×C4×D73—21no—
220C22×C4×D73D411yescharacteristic
221C22×C4×D73D411yescharacteristic
222C22×C4×D73C2311yescharacteristic
223#14556614—24no—
224#14556612—24no—
225#14556612—24no—
226#14556610—24no—
227C2×Dic292C2311yescharacteristic
228C2×#11924018C2311yescharacteristic
229C2×#11924018C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556589C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556586—21no—
248#14556585—21no—
249#14556584—21no—
250#14556583C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556579C2311yescharacteristic
254#14556577—21no—
255#14556577—21no—
256#14556576—21no—
257#14556576—21no—
258#14556574—21no—
259#14556573—21no—
260#14556573—21no—
261#14556571C2311yescharacteristic
262#14556570C2311yescharacteristic
263#14556569—21no—
264#14556569—21no—
265#14556569—21no—
266#14556568—21no—
267#14556567C2311yescharacteristic
268#14556566C2311yescharacteristic
269#14556565C2311yescharacteristic
270#14556564—21no—
271#14556564—21no—
272#14556564—21no—
273#14556563—21no—
274#14556562C2311yescharacteristic
275#14556561—21no—
276#14556559—21no—
277Q8×Dic73C2311yescharacteristic
278Q8×Dic73C2311yescharacteristic
279Q8×Dic73C2311yescharacteristic
280C4×Dic146—21no—
281C4×Dic146—21no—
282C4×Dic146—21no—
283C4×Dic146C2311yescharacteristic
284C4×Dic146C2311yescharacteristic
285C4×Dic146C2311yescharacteristic
286#14556556—21no—
287#14556556—21no—
288#14556556—21no—
289#14556556—21no—
290#14556556—21no—
291#14556556C2311yescharacteristic
292#14556556C2311yescharacteristic
293#14556556C2311yescharacteristic
294C4×D292—21no—
295C4×D292—21no—
296C4×D292—21no—
297C4×D292C2311yescharacteristic
298C4×D292C2311yescharacteristic
299C4×D292C2311yescharacteristic
300D4×Dic73—21no—
301D4×Dic73—21no—
302D4×Dic73—21no—
303D4×Dic73C2311yescharacteristic
304D4×Dic73C2311yescharacteristic
305D4×Dic73C2311yescharacteristic
306#14556553—21no—
307#14556553—21no—
308#14556553—21no—
309#14556553—21no—
310#14556553—21no—
311#14556553C2311yescharacteristic
312#14556553C2311yescharacteristic
313#14556553C2311yescharacteristic
314C4×C22⋊D73—21no—
315C4×C22⋊D73—21no—
316C4×C22⋊D73—21no—
317C4×C22⋊D73—21no—
318C4×C22⋊D73—21no—
319C4×C22⋊D73—21no—
320C4×C22⋊D73—21no—
321C4×C22⋊D73—21no—
322C4×C22⋊D73—21no—
323#14556551—21no—
324#14556551—21no—
325#14556551—21no—
326#14556551—21no—
327#14556551—21no—
328#14556551—21no—
329#14556551—21no—
330#14556551—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556550—21no—
337#14556550C2311yescharacteristic
338#14556549—21no—
339#14556549—21no—
340#14556549—21no—
341#14556549—21no—
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556548—21no—
347#14556548—21no—
348#14556548—21no—
349#14556548—21no—
350#14556548—21no—
351#14556547—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C22⋊C4×D73—21no—
362C22⋊C4×D73—21no—
363C22⋊C4×D73—21no—
364C2×C4×Dic73—21no—
365C2×C4×Dic73—21no—
366C2×C4×Dic73—21no—
367C2×C4×Dic73—21no—
368C2×C4×Dic73D411yescharacteristic
369C2×C4×Dic73D411yescharacteristic
370C2×C4×Dic73C2311yescharacteristic
371C42×D73—21no—
372C42×D73—21no—
373C42×D73—21no—
374C42×D73—21no—
375C42×D73—21no—
376C42×D73—21no—
377C42×D73—21no—
378C42×D73—21no—
379C42×D73D411yescharacteristic
380C42×D73D411yescharacteristic
381C42×D73D411yescharacteristic
382C42×D73D411yescharacteristic
383C42×D73C2311yescharacteristic
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C42×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73C2×D411yescharacteristic
486#11924029—22no—
487#11924029—22no—
488#11924029—22no—
489#11924029#4114yescomplemented
490#11924028—28no—
491#11924028—22no—
492#11924028—22no—
493#11924028—44no—
494#11924027—28no—
495#11924027—22no—
496#11924027—22no—
497#11924027—22no—
498#11924027—44no—
499#11924027#4114yescomplemented
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—22no—
506Q8×D73—22no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520D4×D73—28no—
521D4×D73—22no—
522D4×D73—22no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C22×Dic73C2×D411yescharacteristic
531C2×C4×D73—28no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—24no—
536C2×C4×D73—22no—
537C2×C4×D73—22no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—42no—
548C2×C4×D73—44no—
549C2×C4×D73—44no—
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2×D411yescharacteristic
557C2×C4×D73C2×D411yescharacteristic
558C2×C4×D73C2×D411yescharacteristic
559C2×C4×D73C2×D411yescharacteristic
560C2×C4×D73C2411yescharacteristic
561C2×C4×D73C2411yescharacteristic
562Dic292—22no—
563#11924018—22no—
564#11924018—22no—
565#11924017—22no—
566#11924017—22no—
567#11924016—22no—
568#11924016—22no—
569#11924015—22no—
570#11924015—22no—
571D584—22no—
572#11924013—22no—
573#11924013—22no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—22no—
579C8×D73—22no—
580C8×D73—22no—
581C8×D73—22no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654#41×C73—22no—
655#41×C73—22no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73C2411yescharacteristic
661C2×D4×C73C2411yescharacteristic
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2×D411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669Q16×C73—22no—
670SD16×C73—22no—
671SD16×C73—22no—
672D8×C73—22no—
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73C2411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C42×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C22×D73—24no—
707C22×D73—21no—
708C22×D73—22no—
709C22×D73—22no—
710C22×D73—21no—
711C22×D73—41no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73C22×D411yescharacteristic
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73C2×#4112yes—
720D4×C73—24no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—42no—
725D4×C73C2×#4112yes—
726C2×C4×C73—24no—
727C2×C4×C73—21no—
728C2×C4×C73—22no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—41no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2511yescharacteristic
746C22⋊D73—24no—
747C22⋊D73—24no—
748C22⋊D73—24no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C2×Dic73—21no—
755C2×Dic73—24no—
756C2×Dic73—22no—
757C2×Dic73—22no—
758C2×Dic73—22no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—42no—
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774D292—24no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—42no—
779D292—42no—
780D292C2×#4112yes—
781C4×D73—24no—
782C4×D73—24no—
783C4×D73—22no—
784C4×D73—22no—
785C4×D73—22no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—22no—
789C4×D73—24no—
790C4×D73—22no—
791C4×D73—22no—
792C4×D73—22no—
793C4×D73—41no—
794C4×D73—41no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73#13514yescomplemented
805C4×D73C2×#4112yes—
806C4×D73C2×#4112yes—
807Dic146—24no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—42no—
812Dic146—42no—
813Dic146C2×#4112yes—
814C8×C73—21no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818#10596831—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822C22×C73—21no—
823C22×C73—22no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73C23×D411yescharacteristic
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—22no—
837C2×D73—44no—
838C2×D73—48no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73#52512yes—
845C2×D73C2×#13512yes—
846C4×C73—22no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—21no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73C2×#13512yes—
857C4×C73C22×#4111yescharacteristic
858C4×C73C22×#4111yescharacteristic
859Dic73—21no—
860Dic73—22no—
861Dic73—21no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868Dic73#52512yes—
869Dic73C2×#13512yes—
870Dic73#57512yes—
871#60536—731nomaximal, Sylow
872C2×C73—41no—
873C2×C73—42no—
874C2×C73—81no—
875C2×C73C2×#52511yescharacteristic
876C2×C73C22×#13511yescharacteristic
877C2×C73C2×#57511yescharacteristic
878D73—22no—
879D73—22no—
880D73—42no—
881D73—81no—
882#3444—731no—
883C2×C4×#41—731no—
884#3108—731no—
885#3108—731no—
886#3107—731no—
887#3107—731no—
888#3106—731no—
889#3106—731no—
890#3105—731no—
891#3105—731no—
892#3104—731no—
893#3103—731no—
894#3102—731no—
895#3102—731no—
896#3102—731no—
897#3102D7311yescharacteristic, complemented
898#3101—731no—
899#3100—731no—
900#3091—731no—
901#3091—731no—
902#3076—731no—
903#3076—731no—
904#3035—731no—
905#3035—731no—
906#3002—731no—
907#3002—731no—
908C4×#135—731no—
909C4×#135—731no—
910C4×#135—731no—
911C4×#135—731no—
912C2×#431—731no—
913C73#6053611yescharacteristic, complemented, Sylow
914C22×#41—731no—
915C2×#135—731no—
916C2×#135—731no—
917C2×#135—731no—
918C2×#135—731no—
919#533—731no—
920#533—731no—
921#533—731no—
922#532—731no—
923#532—731no—
924#532—731no—
925#529—731no—
926#529—731no—
927#529—731no—
928#529—1461no—
929#529—1461no—
930#529—1461no—
931#529—1461no—
932#529C2×D7311yescharacteristic, complemented
933#525—731no—
934#525—731no—
935#525—1461no—
936#525—1461no—
937C4×#41—731no—
938C4×#41—731no—
939C4×#41—731no—
940C4×#41—731no—
941C4×#41—731no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C4×#41—1461no—
948C4×#41—1461no—
949C4×#41—1461no—
950C4×#41—1461no—
951C4×#41—1461no—
952C4×#41C2×D7311yescharacteristic
953C2×C4×Q8—731no—
954C2×C4×Q8—731no—
955C2×C4×D4—731no—
956C2×C4×D4—731no—
957C2×C4×D4—1461no—
958C2×C4×D4—1461no—
959C2×#117—731no—
960C2×#117—1461no—
961C22×C42—731no—
962C22×C42—1461no—
963#485—731no—
964#485—731no—
965#485—731no—
966#485C2×D7311yescharacteristic, complemented
967#484—731no—
968#484—731no—
969#483—731no—
970#483—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#482C2×D7311yescharacteristic, complemented
975#481—731no—
976#481—731no—
977#480—731no—
978#480—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#479C2×D7311yescharacteristic, complemented
983#478—731no—
984#478—731no—
985#478—731no—
986#478C2×D7311yescharacteristic, complemented
987#477—731no—
988#477—731no—
989#476—731no—
990#476—731no—
991#475—731no—
992#475—731no—
993#474—731no—
994#474—731no—
995#464—731no—
996#464—731no—
997#464—731no—
998#464C2×D7311yescharacteristic, complemented
999#463—731no—
1000#463—731no—
1001#463—731no—
1002#463C2×D7311yescharacteristic, complemented
1003#462—731no—
1004#462—731no—
1005#461—731no—
1006#461—731no—
1007#460—731no—
1008#460—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#452—731no—
1014#452C2×D7311yescharacteristic
1015#451—731no—
1016#451—731no—
1017#450—731no—
1018#450—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#449C2×D7311yescharacteristic
1023#448—731no—
1024#448—731no—
1025#447—731no—
1026#447—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×Q16—731no—
1030C4×Q16—731no—
1031C4×Q16—731no—
1032C4×Q16—731no—
1033C4×Q16—731no—
1034C4×Q16C2×D7311yescharacteristic, complemented
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040C4×SD16—731no—
1041C4×SD16—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16—731no—
1046C4×SD16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16C2×D7311yescharacteristic, complemented
1050C4×SD16C2×D7311yescharacteristic, complemented
1051C4×D8—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8C2×D7311yescharacteristic, complemented
1059#431—731no—
1060#431—731no—
1061#431—731no—
1062#431—731no—
1063#431—731no—
1064#431—731no—
1065#431—731no—
1066#431C2×D7311yescharacteristic, complemented
1067#427—731no—
1068#427—731no—
1069#427—731no—
1070#427—731no—
1071C2×C4⋊C8—731no—
1072C2×C4⋊C8—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077#416—731no—
1078#416—731no—
1079#416—731no—
1080#416—731no—
1081C2×C22⋊C8—731no—
1082C2×C22⋊C8—731no—
1083C2×C4×C8—731no—
1084C2×C4×C8—731no—
1085C2×#41—731no—
1086C2×#41—731no—
1087C2×#41—731no—
1088C2×#41—731no—
1089C2×#41—731no—
1090C2×#41—1461no—
1091C2×#41—1461no—
1092C2×#41—1461no—
1093C2×#41—1461no—
1094C2×#41—1464no—
1095C2×#41—1464no—
1096C2×#41C22×D7311yescharacteristic
1097C22×Q8—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C23×C4—731no—
1101C23×C4—731no—
1102C23×C4—731no—
1103C23×C4—1461no—
1104C23×C4—1461no—
1105C23×C4—1461no—
1106#135—1464no—
1107#135—1464no—
1108#135—1464no—
1109#135—1464no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×Q16—731no—
1113C2×Q16C22×D7311yescharacteristic
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16C22×D7311yescharacteristic
1121C2×SD16C22×D7311yescharacteristic
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8C22×D7311yescharacteristic
1126C22×C8—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C22×C8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133#127—731no—
1134#126—21no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#125—731no—
1139#125—1461no—
1140#125—1461no—
1141#125C22×D7311yescharacteristic
1142#124—731no—
1143#124—1461no—
1144#124—1461no—
1145#124C22×D7311yescharacteristic
1146#123—21no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152C22⋊Q8—731no—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8C22×D7311yescharacteristic
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121C22×D7311yescharacteristic
1168#120—1461no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×Q8C22×D7311yescharacteristic
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4—1461no—
1217C4×D4—1461no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4C22×D7311yescharacteristic
1236C4×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117C22×D7311yescharacteristic
1262C2×C4⋊C4—731no—
1263C2×C4⋊C4—731no—
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C22⋊C4—1461no—
1267C2×C22⋊C4—1461no—
1268C2×C22⋊C4—1461no—
1269C2×C42—21no—
1270C2×C42—731no—
1271C2×C42—731no—
1272C2×C42—731no—
1273C2×C42—731no—
1274C2×C42—731no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—731no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283C2×C42—1461no—
1284C2×C42—1461no—
1285C2×C42—1461no—
1286C2×C42—1461no—
1287C2×C42—1461no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290C2×C42—1461no—
1291C2×C42—1461no—
1292C2×C42—1461no—
1293C2×C42C22×D7311yescharacteristic
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#107—731no—
1300#107C22×D7311yescharacteristic
1301#107C22×D7311yescharacteristic
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308#106C22×D7311yescharacteristic
1309#106C22×D7311yescharacteristic
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8C22×D7311yescharacteristic
1357C22⋊C8C22×D7311yescharacteristic
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C4×C8—731no—
1363C4×C8—731no—
1364C4×C8C22×D7311yescharacteristic
1365C4×C8C22×D7311yescharacteristic
1366C24—731no—
1367C24—1461no—
1368#41—22no—
1369#41—22no—
1370#41—2924no—
1371#41—2924no—
1372#41—734no—
1373#41—734no—
1374#41—1462no—
1375#41—1462no—
1376#41—1468no—
1377#41—1462no—
1378#41—1462no—
1379#41—1462no—
1380#41—1462no—
1381#41—1462no—
1382#41—1462no—
1383#41—1468no—
1384C2×Q8—731no—
1385C2×Q8—731no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1462no—
1390C2×Q8—1462no—
1391C2×Q8C23×D7311yescharacteristic
1392C2×Q8C23×D7311yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1462no—
1404C2×D4—1468no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1462no—
1411C2×D4C23×D7311yescharacteristic
1412C2×D4C23×D7311yescharacteristic
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—2924no—
1418C22×C4—2924no—
1419C22×C4—2922no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1464no—
1443C22×C4—1462no—
1444C22×C4—1462no—
1445C22×C4—1461no—
1446C22×C4—1468no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4D4×D7311yescharacteristic
1457C22×C4D4×D7311yescharacteristic
1458C22×C4C23×D7311yescharacteristic
1459Q16—22no—
1460Q16—1462no—
1461Q16—1462no—
1462Q16—1462no—
1463SD16—22no—
1464SD16—22no—
1465SD16—1462no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470SD16—1462no—
1471D8—22no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475C2×C8—731no—
1476C2×C8—731no—
1477C2×C8—731no—
1478C2×C8—731no—
1479C2×C8—1462no—
1480C2×C8—1462no—
1481C2×C8—1462no—
1482C2×C8—1462no—
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C4⋊C4C23×D7311yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—731no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42D4×D7311yescharacteristic
1582C42D4×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C42C23×D7311yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—2921no—
1588C23—2922no—
1589C23—2922no—
1590C23—731no—
1591C23—731no—
1592C23—1462no—
1593C23—1462no—
1594C23—1464no—
1595C23—1461no—
1596C23—1461no—
1597C23C2×D4×D7311yescharacteristic
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—2922no—
1602Q8—2922no—
1603Q8—732no—
1604Q8—1464no—
1605Q8—1461no—
1606Q8—1461no—
1607Q8—1461no—
1608Q8#41×D7312yes—
1609D4—24no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—42no—
1614D4—2922no—
1615D4—2922no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—2922no—
1620D4—2922no—
1621D4—732no—
1622D4—1464no—
1623D4—1464no—
1624D4—1464no—
1625D4—1464no—
1626D4—1461no—
1627D4—1461no—
1628D4—1461no—
1629D4#41×D7312yes—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—41no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—2922no—
1645C2×C4—2921no—
1646C2×C4—2921no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—732no—
1663C2×C4—732no—
1664C2×C4—734no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—1462no—
1669C2×C4—1462no—
1670C2×C4—1462no—
1671C2×C4—1462no—
1672C2×C4—1464no—
1673C2×C4—1462no—
1674C2×C4—1462no—
1675C2×C4—1464no—
1676C2×C4—1464no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1462no—
1683C2×C4—1462no—
1684C2×C4—1462no—
1685C2×C4—1464no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1462no—
1690C2×C4C2×D4×D7311yescharacteristic
1691C2×C4C2×D4×D7311yescharacteristic
1692C2×C4C2×D4×D7311yescharacteristic
1693C2×C4C2×D4×D7311yescharacteristic
1694C2×C4C2×D4×D7311yescharacteristic
1695C2×C4C24×D7311yescharacteristic
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—21no—
1700C8—1461no—
1701C8—1461no—
1702C8—1461no—
1703C8—1461no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—22no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—2928no—
1714C22—2924no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—732no—
1721C22—732no—
1722C22—1462no—
1723C22—1461no—
1724C22—1461no—
1725C22—1461no—
1726C22—1461no—
1727C22C22×D4×D7311yescharacteristic
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—2921no—
1742C4—2921no—
1743C4—732no—
1744C4—732no—
1745C4—732no—
1746C4—1461no—
1747C4—1461no—
1748C4—1461no—
1749C4—1462no—
1750C4#135×D7312yes—
1751C4C2×#41×D7311yescharacteristic
1752C4C2×#41×D7311yescharacteristic
1753C2—41no—
1754C2—42no—
1755C2—81no—
1756C2—2922no—
1757C2—5841no—
1758C2—1462no—
1759C2—1462no—
1760C2#525×D7311yescharacteristic
1761C2C2×#135×D7311yescharacteristic
1762C2#575×D7311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3102C2
socleC22×C73C23×D4
hypercenter#3102D73
hypocenterC73#60536
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3102

Complements

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

NH ≅ G/Ntype
1. #22623225C2semidirect
2. C4×#41×D73C2semidirect
3. #22620016C2semidirect
4. #22620010C2semidirect
5. #22619997C2semidirect
6. #22619995C2semidirect
7. #22619986C2semidirect
8. #22619984C2semidirect
9. #22619983C2semidirect
10. #22619977C2semidirect
11. #22619968C2semidirect
12. #22619960C2semidirect
13. #22619951C2semidirect
14. #22619949C2semidirect
15. #22619943C2semidirect
16. #22619937C2semidirect
17. #22619929C2semidirect
18. #22619849C2semidirect
19. #22619843C2semidirect
20. #22619718C2semidirect
21. #22619716C2semidirect
22. #22619385C2semidirect
23. #22619383C2semidirect
24. #22619152C2semidirect
25. #22619146C2semidirect
26. C4×#14556614C2semidirect
27. C4×#14556612C2semidirect
28. C4×#14556612C2semidirect
29. C4×#14556610C2semidirect
30. #431×D73C2semidirect
31. C73×#3102C2semidirect
37. #17989143C22semidirect
39. #17989139C22semidirect
40. #17989136C22semidirect
42. #17989132C22semidirect
44. #17989121C22semidirect
57. C4×#11924029C22semidirect
68. C4×#11924027C22semidirect
79. #17988929C22semidirect
80. #17988928C22semidirect
81. #17988925C22semidirect
86. #17988912C22semidirect
87. #17988911C22semidirect
88. #17988908C22semidirect
93. #17988895C22semidirect
94. #17988894C22semidirect
95. #17988891C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988880C22semidirect
101. #17988876C22semidirect
102. #17988875C22semidirect
103. #17988871C22semidirect
104. #17988870C22semidirect
105. #17988866C22semidirect
106. #17988865C22semidirect
107. #17988810C22semidirect
108. #17988809C22semidirect
109. #17988806C22semidirect
110. #17988803C22semidirect
111. #17988802C22semidirect
112. #17988799C22semidirect
113. #17988796C22semidirect
114. #17988795C22semidirect
115. #17988791C22semidirect
116. #17988790C22semidirect
117. #17988786C22semidirect
118. #17988785C22semidirect
119. #17988781C22semidirect
120. #17988780C22semidirect
135. C4×Dic292C22semidirect
136. Q16×Dic73C22semidirect
137. #17988681C22semidirect
138. C4×#11924018C22semidirect
139. C4×#11924018C22semidirect
140. #17988679C22semidirect
141. #17988679C22semidirect
142. #17988678C22semidirect
143. #17988678C22semidirect
144. C4×#11924017C22semidirect
145. C4×#11924017C22semidirect
146. SD16×Dic73C22semidirect
147. SD16×Dic73C22semidirect
148. C4×#11924015C22semidirect
149. C4×#11924015C22semidirect
150. #17988674C22semidirect
151. #17988674C22semidirect
152. C4×#11924016C22semidirect
153. C4×#11924016C22semidirect
154. #17988672C22semidirect
155. #17988672C22semidirect
156. C4×D584C22semidirect
157. D8×Dic73C22semidirect
158. #17988669C22semidirect
159. C4×#11924013C22semidirect
160. C4×#11924013C22semidirect
161. #17988667C22semidirect
162. #17988667C22semidirect
163. #17988640C22semidirect
168. #17988637C22semidirect
169. #17988637C22semidirect
170. #17988624C22semidirect
171. #17988624C22semidirect
172. #17988622C22semidirect
173. #17988622C22semidirect
174. C4⋊C8×D73C22semidirect
175. C4⋊C8×D73C22semidirect
178. #17988582C22semidirect
179. #17988582C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
186. C4×C8×D73C22semidirect
187. C4×C8×D73C22semidirect
188. #529×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
198. C4×Q16×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #431×C73C22semidirect
489. #11924029#41semidirect
499. #11924027#41semidirect
804. C4×D73#135semidirect
897. #3102D73semidirect
913. C73#60536semidirect
932. #529C2×D73semidirect
966. #485C2×D73semidirect
974. #482C2×D73semidirect
982. #479C2×D73semidirect
986. #478C2×D73semidirect
998. #464C2×D73semidirect
1002. #463C2×D73semidirect
1034. C4×Q16C2×D73semidirect
1049. C4×SD16C2×D73semidirect
1050. C4×SD16C2×D73semidirect
1058. C4×D8C2×D73semidirect
1066. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226232252
C4×#41×D732
#226200162
#226200102
#226199972
#226199952
#226199862
#226199842
#226199832
#226199772
#226199682
#226199602
#226199512
#226199492
#226199432
#226199372
#226199292
#226198492
#226198432
#226197182
#226197162
#226193852
#226193832
#226191522
#226191462
C4×#145566142
C4×#145566122
C4×#145566102
#431×D732
C73×#31022
#6053673