Finite Group Databasebeta

← #33958599

Subgroups — #33958599

Order 18688.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623823C211yesmaximal, characteristic
2#22623746C211yesmaximal, characteristic, complemented
3#22621232C211yesmaximal, characteristic, complemented
4#22621230C211yesmaximal, characteristic, complemented
5#22621223C211yesmaximal, characteristic, complemented
6#22621216C211yesmaximal, characteristic, complemented
7#22621214C211yesmaximal, characteristic, complemented
8#22621209C211yesmaximal, characteristic, complemented
9#22621207C211yesmaximal, characteristic, complemented
10#22621176C211yesmaximal, characteristic, complemented
11#22621175C211yesmaximal, characteristic, complemented
12#22621170C211yesmaximal, characteristic, complemented
13#22621169C211yesmaximal, characteristic, complemented
14#22621165C211yesmaximal, characteristic, complemented
15#22621159C211yesmaximal, characteristic, complemented
16#22621155C211yesmaximal, characteristic, complemented
17#22621151C211yesmaximal, characteristic, complemented
18#22620472C211yesmaximal, characteristic, complemented
19#22620452C211yesmaximal, characteristic, complemented
20#22620314C211yesmaximal, characteristic, complemented
21#489×D73C211yesmaximal, characteristic, complemented
22#22619895C211yesmaximal, characteristic, complemented
23#22619893C211yesmaximal, characteristic, complemented
24#22619888C211yesmaximal, characteristic
25#22619886C211yesmaximal, characteristic
26#22619772C211yesmaximal, characteristic, complemented
27#22619766C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619757C211yesmaximal, characteristic, complemented
30#22618579C211yesmaximal, characteristic, complemented
31C73×#3244C211yesmaximal, characteristic, complemented
32#17989321—21no—
33#17989319—21no—
34#17989317—21no—
35#17989314—21no—
36#17989308—21no—
37#17989304—21no—
38#17989293—21no—
39#17989291—21no—
40#17989291—21no—
41#17989267—21no—
42#17989264—21no—
43#17989262—21no—
44#17989260—21no—
45#17989252—21no—
46#17989250—21no—
47#17989250—21no—
48#17989217C2211yescharacteristic
49#17989217C2211yescharacteristic, complemented
50#17989215C2211yescharacteristic, complemented
51#17989214C2211yescharacteristic
52#17989214C2211yescharacteristic, complemented
53#17989211C2211yescharacteristic
54#17989208C2211yescharacteristic
55#17989206C2211yescharacteristic
56#17989160C2211yescharacteristic
57#17989153C2211yescharacteristic
58#17989143C2211yescharacteristic
59#17989143C2211yescharacteristic, complemented
60#17989142C2211yescharacteristic
61#17989140C2211yescharacteristic, complemented
62C2×#14556590C2211yescharacteristic, complemented
63C4⋊Q8×D73C2211yescharacteristic
64C4⋊Q8×D73C2211yescharacteristic, complemented
65#17989124C2211yescharacteristic
66#17989123C2211yescharacteristic
67#17989119C2211yescharacteristic
68#17989118C2211yescharacteristic
69#124×D73C2211yescharacteristic
70#17989068C2211yescharacteristic
71#17989067C2211yescharacteristic
72#17989063C2211yescharacteristic
73#17989059C2211yescharacteristic
74#17989055C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988994C2211yescharacteristic, complemented
81#17988994C2211yescharacteristic, complemented
82#17988994C2211yescharacteristic, complemented
83#17988994C2211yescharacteristic, complemented
84#17988994C2211yescharacteristic, complemented
85#17988993C2211yescharacteristic, complemented
86#17988992C2211yescharacteristic, complemented
87#17988990C2211yescharacteristic, complemented
88#17988983C2211yescharacteristic, complemented
89#17988949C2211yescharacteristic
90#17988948C2211yescharacteristic
91#17988948C2211yescharacteristic
92#17988948C2211yescharacteristic
93#17988948C2211yescharacteristic
94#17988947C2211yescharacteristic
95#17988946C2211yescharacteristic
96#17988945C2211yescharacteristic
97#17988945C2211yescharacteristic
98#17988945C2211yescharacteristic
99#17988945C2211yescharacteristic
100#17988944C2211yescharacteristic
101#17988942C2211yescharacteristic
102#17988941C2211yescharacteristic
103#17988931C2211yescharacteristic, complemented
104#17988930C2211yescharacteristic, complemented
105#17988929C2211yescharacteristic, complemented
106#17988928C2211yescharacteristic, complemented
107#17988927C2211yescharacteristic, complemented
108#17988926C2211yescharacteristic, complemented
109#17988925C2211yescharacteristic, complemented
110#17988923C2211yescharacteristic, complemented
111#17988922C2211yescharacteristic, complemented
112#17988921C2211yescharacteristic, complemented
113#17988921C2211yescharacteristic, complemented
114#17988919C2211yescharacteristic, complemented
115#17988919C2211yescharacteristic, complemented
116#17988915C2211yescharacteristic, complemented
117#17988914C2211yescharacteristic
118#17988913C2211yescharacteristic
119#17988912C2211yescharacteristic
120#17988911C2211yescharacteristic
121#17988910C2211yescharacteristic
122#17988909C2211yescharacteristic
123#17988908C2211yescharacteristic
124#17988907C2211yescharacteristic
125#17988907C2211yescharacteristic
126#17988903C2211yescharacteristic
127#17988901C2211yescharacteristic
128#17988900C2211yescharacteristic
129#17988899C2211yescharacteristic
130#17988899C2211yescharacteristic
131#17988897C2211yescharacteristic, complemented
132#17988896C2211yescharacteristic, complemented
133#17988895C2211yescharacteristic, complemented
134#17988894C2211yescharacteristic, complemented
135#17988893C2211yescharacteristic, complemented
136#17988892C2211yescharacteristic, complemented
137#17988891C2211yescharacteristic, complemented
138#17988890C2211yescharacteristic
139#17988889C2211yescharacteristic
140#17988888C2211yescharacteristic
141#17988887C2211yescharacteristic
142#17988886C2211yescharacteristic
143#17988885C2211yescharacteristic
144#17988884C2211yescharacteristic
145#17988883C2211yescharacteristic, complemented
146#17988880C2211yescharacteristic, complemented
147#17988880C2211yescharacteristic, complemented
148#17988879C2211yescharacteristic, complemented
149#17988877C2211yescharacteristic
150#17988876C2211yescharacteristic
151#17988876C2211yescharacteristic
152#17988872C2211yescharacteristic, complemented
153#17988871C2211yescharacteristic, complemented
154#17988871C2211yescharacteristic, complemented
155#17988868C2211yescharacteristic
156#17988865C2211yescharacteristic
157#17988865C2211yescharacteristic
158#17988864C2211yescharacteristic
159#17988649C2211yescharacteristic, complemented
160#17988648C2211yescharacteristic, complemented
161#17988646C2211yescharacteristic, complemented
162#17988643C2211yescharacteristic, complemented
163#17988643C2211yescharacteristic, complemented
164#17988641C2211yescharacteristic, complemented
165#17988641C2211yescharacteristic, complemented
166#17988626C2211yescharacteristic
167#17988626C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988624C2211yescharacteristic
172#17988622C2211yescharacteristic
173#17988622C2211yescharacteristic
174#17988612C2211yescharacteristic
175#17988612C2211yescharacteristic
176#17988594C2211yescharacteristic
177#17988594C2211yescharacteristic
178#17988590C2211yescharacteristic
179#17988590C2211yescharacteristic
180#103×D73C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186C4×#11924011C2211yescharacteristic
187#97×D73C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#542×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#498×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic
193#488×C73C2211yescharacteristic
194#485×C73C2211yescharacteristic, complemented
195#483×C73C2211yescharacteristic, complemented
196#482×C73C2211yescharacteristic
197#481×C73C2211yescharacteristic
198#479×C73C2211yescharacteristic, complemented
199#478×C73C2211yescharacteristic
200#476×C73C2211yescharacteristic
201#475×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C22×Dic146—21no—
205C2×Q8×D73—21no—
206C2×Q8×D73—21no—
207C2×Q8×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C2×#11924011C2311yescharacteristic
210C2×#11924011C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212C2×C8×D73C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556591C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556590—21no—
217#14556590—21no—
218#14556590—21no—
219#14556590—21no—
220#14556590—21no—
221#14556590—21no—
222#14556590—21no—
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556589—21no—
231#14556589—21no—
232#14556589—21no—
233#14556589—21no—
234#14556587—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556582—21no—
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556580—21no—
254#14556580C2311yescharacteristic
255#14556579C2311yescharacteristic
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556575—21no—
267#14556575—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556572—21no—
272#14556571—21no—
273#14556571—21no—
274#14556571—21no—
275#14556571C2311yescharacteristic
276#14556570C2311yescharacteristic
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556567—21no—
292#14556567—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556562C2311yescharacteristic
299#14556561—21no—
300#14556559—21no—
301Q8×Dic73—21no—
302Q8×Dic73C2311yescharacteristic
303C4×Dic146—21no—
304C4×Dic146—21no—
305C4×Dic146—21no—
306C4×Dic146—21no—
307C4×Dic146C2311yescharacteristic
308#14556556—21no—
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556D411yescharacteristic
316#14556556D411yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292—21no—
320C4×D292C2311yescharacteristic
321D4×Dic73—21no—
322D4×Dic73C2311yescharacteristic
323#14556553—21no—
324#14556553D411yescharacteristic
325#14556553D411yescharacteristic
326#14556553C2311yescharacteristic
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551D411yescharacteristic
336#14556551D411yescharacteristic
337#14556551D411yescharacteristic
338#14556551D411yescharacteristic
339#14556550—21no—
340#14556550C2311yescharacteristic
341#14556549—21no—
342#14556549—21no—
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556549C2311yescharacteristic
349#14556548—21no—
350#14556548—21no—
351#14556548C2311yescharacteristic
352#14556548C2311yescharacteristic
353#14556547—21no—
354C2×C4⋊Dic73C2311yescharacteristic
355C2×#11924007—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73C2311yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C2×#11924005—21no—
363C22⋊C4×D73—21no—
364C22⋊C4×D73—21no—
365C22⋊C4×D73—21no—
366C2×C4×Dic73C2311yescharacteristic
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C4⋊Q8×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#124×C73—21no—
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#106×C73C2311yescharacteristic
459#106×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—22no—
480#11924028—22no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—82no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—22no—
496Q8×D73—82no—
497Q8×D73—82no—
498C2×D292—21no—
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73C2×D411yescharacteristic
505C2×C22⋊D73C2×D411yescharacteristic
506D4×D73—22no—
507D4×D73—22no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73C2×D411yescharacteristic
511C22×Dic73C2×D411yescharacteristic
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525#11924011—22no—
526#11924011—22no—
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C8×D73—22no—
532C8×D73—22no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005C2×D411yescharacteristic
598#11924005C2×D411yescharacteristic
599#11924005C2×D411yescharacteristic
600#11924005C2×D411yescharacteristic
601C4×Dic73—21no—
602C4×Dic73—21no—
603C4×Dic73—21no—
604C4×Dic73—21no—
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73C2×D411yescharacteristic
612C4×Dic73C2×D411yescharacteristic
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×Q8×C73—21no—
622C2×Q8×C73C2411yescharacteristic
623C2×D4×C73—21no—
624C2×D4×C73C2411yescharacteristic
625C22×C4×C73—21no—
626C22×C4×C73—21no—
627C22×C4×C73C2411yescharacteristic
628C2×C8×C73C2411yescharacteristic
629C2×C8×C73C2411yescharacteristic
630C2×C8×C73C2411yescharacteristic
631C2×C8×C73C2411yescharacteristic
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C22⋊C4×C73C2×D411yescharacteristic
657C22⋊C4×C73C2×D411yescharacteristic
658C42×C73—21no—
659C42×C73—21no—
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—21no—
663C23×C73C22×D411yescharacteristic
664C22×D73—21no—
665C22×D73—42no—
666C22×D73—81no—
667C22×D73—81no—
668C22×D73C22×D411yescharacteristic
669C22×D73C22×D411yescharacteristic
670Q8×C73—21no—
671Q8×C73—21no—
672Q8×C73—81no—
673Q8×C73—81no—
674Q8×C73—81no—
675D4×C73—21no—
676D4×C73—21no—
677D4×C73—81no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—81no—
688C2×C4×C73—81no—
689C2×C4×C73C22×D411yescharacteristic
690C2×C4×C73C22×D411yescharacteristic
691C2×C4×C73C22×D411yescharacteristic
692C2×C4×C73C22×D411yescharacteristic
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C2511yescharacteristic
695C22⋊D73—22no—
696C22⋊D73—22no—
697C22⋊D73—42no—
698C22⋊D73—81no—
699C22⋊D73—81no—
700C2×Dic73—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—41no—
708C2×Dic73—41no—
709C2×Dic73—81no—
710C2×Dic73—81no—
711C2×Dic73C22×D411yescharacteristic
712C2×Dic73C22×D411yescharacteristic
713C2×Dic73C22×D411yescharacteristic
714C2×Dic73C22×D411yescharacteristic
715C2×Dic73C22×D411yescharacteristic
716C2×Dic73C22×D411yescharacteristic
717D292—22no—
718D292—21no—
719D292—21no—
720D292—81no—
721C4×D73—21no—
722C4×D73—21no—
723C4×D73—41no—
724C4×D73—41no—
725C4×D73—41no—
726C4×D73—41no—
727C4×D73—42no—
728C4×D73—81no—
729C4×D73—81no—
730C4×D73—81no—
731C4×D73—81no—
732C4×D73—81no—
733C4×D73—81no—
734C4×D732−1+412yes—
735C4×D732−1+412yes—
736Dic146—22no—
737Dic146—21no—
738Dic146—21no—
739Dic146—42no—
740Dic146—42no—
741Dic146—42no—
742Dic146—42no—
743Dic146—42no—
744Dic146—81no—
745Dic146—81no—
746Dic146—81no—
747Dic146—81no—
748Dic146—81no—
749C8×C73—21no—
750C8×C73—21no—
751C8×C73—21no—
752C8×C73—21no—
753#10596831—21no—
754#10596831—21no—
755#10596831—21no—
756#10596831—21no—
757C22×C73—21no—
758C22×C73—21no—
759C22×C73—21no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73C23×D411yescharacteristic
764C2×D73—21no—
765C2×D73—21no—
766C2×D73—21no—
767C2×D73—21no—
768C2×D73—21no—
769C2×D73—41no—
770C2×D73—41no—
771C2×D73—41no—
772C2×D73—162no—
773C2×D73#53612yes—
774C4×C73—21no—
775C4×C73—21no—
776C4×C73—21no—
777C4×C73—21no—
778C4×C73—21no—
779C4×C73—41no—
780C4×C73—41no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73—41no—
784C4×C73—41no—
785C4×C73—41no—
786C4×C73C2×2−1+411yescharacteristic
787C4×C73C2×2−1+411yescharacteristic
788Dic73—21no—
789Dic73—21no—
790Dic73—21no—
791Dic73—21no—
792Dic73—21no—
793Dic73—41no—
794Dic73—41no—
795Dic73—41no—
796Dic73—41no—
797Dic73—41no—
798Dic73—41no—
799Dic73—41no—
800Dic73#53612yes—
801#60885—731nomaximal, Sylow
802C2×C73—41no—
803C2×C73—81no—
804C2×C73C2×#53611yescharacteristic
805C2×C73#358511yescharacteristic
806C2×C73#358611yescharacteristic
807D73—22no—
808D73—41no—
809D73—81no—
810#3510—731no—
811#3503—731no—
812#3244—731no—
813#3244—731no—
814#3244—731no—
815#3244D7311yescharacteristic, complemented
816#3243—731no—
817#3243—731no—
818#3243—731no—
819#3243—731no—
820#3240—731no—
821#3240—731no—
822#3240—731no—
823#3240—731no—
824#3239—731no—
825#3239—731no—
826#3238—731no—
827#3238—731no—
828#3165—731no—
829#3162—731no—
830#3140—731no—
831C2×#489—731no—
832#3097—731no—
833#3097—731no—
834#3096—731no—
835#3096—731no—
836#3082—731no—
837#3082—731no—
838#3081—731no—
839#3081—731no—
840#2923—731no—
841C73#6088511yescharacteristic, complemented, Sylow
842#559—1461no—
843#559—1461no—
844Q82—1461no—
845#557—1461no—
846#556—1461no—
847#556—1461no—
848#554—1461no—
849#554—1461no—
850#554—1461no—
851#551—1461no—
852#551—1461no—
853#551—1461no—
854#551—1461no—
855D4×Q8—1461no—
856D4×Q8—1461no—
857D4×Q8—1461no—
858#544—731no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544C2×D7311yescharacteristic, complemented
864#542—731no—
865#542—731no—
866#542—731no—
867#542C2×D7311yescharacteristic
868#536—731no—
869#535—731no—
870#533—731no—
871#533—731no—
872#533—731no—
873#533—731no—
874C2×C4⋊Q8—731no—
875C2×C4⋊Q8—731no—
876C2×C4⋊Q8—731no—
877#529—731no—
878#529—731no—
879#529—731no—
880#529—731no—
881C2×#124—731no—
882#520—731no—
883#520—731no—
884#519—731no—
885#518—731no—
886C4×#41—731no—
887#501—731no—
888#501—731no—
889#501—731no—
890#501—731no—
891#501—731no—
892#501—731no—
893#501—731no—
894#501—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#501C2×D7311yescharacteristic, complemented
899#500—731no—
900#500—731no—
901#498—731no—
902#498C2×D7311yescharacteristic, complemented
903#489—731no—
904#489—731no—
905#489—731no—
906#489—731no—
907#489—731no—
908#489—731no—
909#489—731no—
910#489—731no—
911#489—731no—
912#489—731no—
913#489—731no—
914#489C2×D7311yescharacteristic
915#488—731no—
916#488—731no—
917#488—731no—
918#488C2×D7311yescharacteristic
919#485—731no—
920#485—731no—
921#485—731no—
922#485—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485C2×D7311yescharacteristic, complemented
927#484—731no—
928#484—731no—
929#484—731no—
930#484—731no—
931#483—731no—
932#483—731no—
933#483—731no—
934#483C2×D7311yescharacteristic, complemented
935#482—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482C2×D7311yescharacteristic
943#481—731no—
944#481—731no—
945#481—731no—
946#481C2×D7311yescharacteristic
947#480—731no—
948#480—731no—
949#480—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#479—731no—
956#479—731no—
957#479—731no—
958#479C2×D7311yescharacteristic, complemented
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478C2×D7311yescharacteristic
967#477—731no—
968#477—731no—
969#477—731no—
970#477—731no—
971#476—731no—
972#476—731no—
973#476—731no—
974#476C2×D7311yescharacteristic
975#475—731no—
976#475—731no—
977#475—731no—
978#475C2×D7311yescharacteristic, complemented
979#474—731no—
980#474—731no—
981#474—731no—
982#474—731no—
983#433—731no—
984#433—731no—
985#433—731no—
986#433C2×D7311yescharacteristic, complemented
987#432—731no—
988#432—731no—
989#432—731no—
990#432—731no—
991#428—731no—
992#428—731no—
993#428—731no—
994#428—731no—
995#427—731no—
996#427—731no—
997#427—731no—
998#427—731no—
999#424—731no—
1000#424—731no—
1001#419—731no—
1002#419—731no—
1003#418—731no—
1004#418—731no—
1005C2×#103—731no—
1006C2×#103—731no—
1007C2×#102—731no—
1008C2×#102—731no—
1009#408—731no—
1010#408—731no—
1011C4×M16—731no—
1012C2×#97—731no—
1013C2×#41—731no—
1014C22×Q8—731no—
1015C22×Q8—1461no—
1016C22×Q8—1461no—
1017C22×Q8—1461no—
1018C22×D4—731no—
1019C2×M16—731no—
1020C2×M16—731no—
1021C22×C8—731no—
1022C22×C8—731no—
1023C4⋊Q8—21no—
1024C4⋊Q8—731no—
1025C4⋊Q8—731no—
1026C4⋊Q8—731no—
1027C4⋊Q8—731no—
1028C4⋊Q8—731no—
1029C4⋊Q8—731no—
1030C4⋊Q8—731no—
1031C4⋊Q8—731no—
1032C4⋊Q8—731no—
1033C4⋊Q8—1461no—
1034C4⋊Q8—1461no—
1035C4⋊Q8—1461no—
1036C4⋊Q8—1461no—
1037C4⋊Q8—1461no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8—1461no—
1044C4⋊Q8—1461no—
1045C4⋊Q8C22×D7311yescharacteristic
1046C4⋊Q8C22×D7311yescharacteristic
1047C4⋊Q8C22×D7311yescharacteristic
1048#127—1461no—
1049#126—21no—
1050#126—1461no—
1051#126—1461no—
1052#126—1461no—
1053#126—1461no—
1054#126—1461no—
1055#126—1461no—
1056#126—1461no—
1057#125—21no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—731no—
1063#125—731no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125C22×D7311yescharacteristic
1070#125C22×D7311yescharacteristic
1071#124—21no—
1072#124—731no—
1073#124—731no—
1074#124—731no—
1075#124—1461no—
1076#124—1461no—
1077#124—1461no—
1078#124—1461no—
1079#124—1461no—
1080#124—1461no—
1081#124—1461no—
1082#124C22×D7311yescharacteristic
1083#123—21no—
1084#123—1461no—
1085#123—1461no—
1086#123—1461no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091#123—1461no—
1092#123—1461no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—731no—
1097C22⋊Q8—731no—
1098C22⋊Q8—731no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8—1461no—
1118C22⋊Q8—1461no—
1119C22⋊Q8—1461no—
1120C22⋊Q8C22×D7311yescharacteristic
1121#121—731no—
1122#121—731no—
1123#121—731no—
1124#121C22×D7311yescharacteristic
1125#120—1461no—
1126#120—1461no—
1127C4×Q8—731no—
1128C4×Q8—731no—
1129C4×Q8—731no—
1130C4×Q8—731no—
1131C4×Q8—731no—
1132C4×Q8—1461no—
1133C4×Q8—1461no—
1134C4×Q8—1461no—
1135C4×Q8—1461no—
1136C4×Q8—1461no—
1137C4×Q8—1461no—
1138C4×Q8—1461no—
1139C4×Q8—1461no—
1140C4×Q8—1461no—
1141C4×Q8—1461no—
1142C4×Q8—1461no—
1143C4×Q8—1461no—
1144C4×Q8C22×D7311yescharacteristic
1145C4×D4—731no—
1146C4×D4—731no—
1147C4×D4—731no—
1148C4×D4—731no—
1149C4×D4—731no—
1150C4×D4—731no—
1151C4×D4—731no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—1461no—
1155C4×D4—1461no—
1156C4×D4—1461no—
1157C4×D4—1461no—
1158C4×D4—1461no—
1159C4×D4—1461no—
1160C4×D4—1461no—
1161C4×D4—1461no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4C22×D7311yescharacteristic
1167#117—731no—
1168#117—731no—
1169#117—731no—
1170#117—731no—
1171#117—731no—
1172#117—731no—
1173#117—731no—
1174#117—731no—
1175#117—731no—
1176#117—1461no—
1177#117—1461no—
1178#117—1461no—
1179#117—1461no—
1180#117—1461no—
1181#117—1461no—
1182#117C22×D7311yescharacteristic
1183#117C22×D7311yescharacteristic
1184C2×C4⋊C4—731no—
1185C2×C4⋊C4—731no—
1186C2×C4⋊C4—731no—
1187C2×C4⋊C4—731no—
1188C2×C4⋊C4—731no—
1189C2×C4⋊C4—1461no—
1190C2×C4⋊C4—1461no—
1191C2×C4⋊C4—1461no—
1192C2×C4⋊C4C22×D7311yescharacteristic
1193C2×C22⋊C4—1461no—
1194C2×C22⋊C4—1461no—
1195C2×C22⋊C4—1461no—
1196C2×C22⋊C4—1461no—
1197C2×C42—731no—
1198C2×C42—731no—
1199C2×C42—731no—
1200#107—731no—
1201#107—731no—
1202#107—731no—
1203#107—731no—
1204#107—731no—
1205#107—731no—
1206#107—731no—
1207#107—731no—
1208#107—731no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107C22×D7311yescharacteristic
1215#107C22×D7311yescharacteristic
1216#106—731no—
1217#106—731no—
1218#106—731no—
1219#106—731no—
1220#106—731no—
1221#106—731no—
1222#106—731no—
1223#106—731no—
1224#106—731no—
1225#106—731no—
1226#106C22×D7311yescharacteristic
1227#106C22×D7311yescharacteristic
1228#106C22×D7311yescharacteristic
1229#106C22×D7311yescharacteristic
1230#106C22×D7311yescharacteristic
1231#106C22×D7311yescharacteristic
1232C4⋊C8—731no—
1233C4⋊C8—731no—
1234C4⋊C8—731no—
1235C4⋊C8—731no—
1236C4⋊C8—731no—
1237C4⋊C8—731no—
1238C4⋊C8C22×D7311yescharacteristic
1239C4⋊C8C22×D7311yescharacteristic
1240#103—731no—
1241#103—731no—
1242#103—731no—
1243#103—731no—
1244#103—731no—
1245#103—731no—
1246#103—731no—
1247#103—731no—
1248#103—731no—
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103C22×D7311yescharacteristic
1253#103C22×D7311yescharacteristic
1254#103C22×D7311yescharacteristic
1255#103C22×D7311yescharacteristic
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102C22×D7311yescharacteristic
1269#102C22×D7311yescharacteristic
1270#102C22×D7311yescharacteristic
1271#102C22×D7311yescharacteristic
1272C22⋊C8—731no—
1273C22⋊C8—731no—
1274C22⋊C8—731no—
1275C22⋊C8—731no—
1276C22⋊C8—731no—
1277C22⋊C8—731no—
1278C22⋊C8C22×D7311yescharacteristic
1279C22⋊C8C22×D7311yescharacteristic
1280#97—731no—
1281#97—731no—
1282#97—731no—
1283#97—731no—
1284#97—731no—
1285#97C22×D7311yescharacteristic
1286C4×C8—731no—
1287C4×C8C22×D7311yescharacteristic
1288C24—1461no—
1289#41—1462no—
1290#41—1462no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—5842no—
1295C2×Q8—5842no—
1296C2×Q8—5842no—
1297C2×Q8—731no—
1298C2×Q8—731no—
1299C2×Q8—1461no—
1300C2×Q8—1461no—
1301C2×Q8—1461no—
1302C2×Q8—1461no—
1303C2×Q8—1461no—
1304C2×Q8—1461no—
1305C2×Q8—1461no—
1306C2×Q8—1462no—
1307C2×Q8—1462no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8C23×D7311yescharacteristic
1312C2×D4—21no—
1313C2×D4—731no—
1314C2×D4—731no—
1315C2×D4—731no—
1316C2×D4—731no—
1317C2×D4—1461no—
1318C2×D4—1462no—
1319C2×D4—1462no—
1320C2×D4—1461no—
1321C2×D4—1461no—
1322C2×D4—1461no—
1323C2×D4C23×D7311yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—731no—
1327C22×C4—731no—
1328C22×C4—731no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—731no—
1334C22×C4—1461no—
1335C22×C4—1461no—
1336C22×C4—1461no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339C22×C4—1461no—
1340C22×C4—1461no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4C23×D7311yescharacteristic
1344M16—1462no—
1345M16—1462no—
1346C2×C8—731no—
1347C2×C8—731no—
1348C2×C8—731no—
1349C2×C8—731no—
1350C2×C8—1462no—
1351C2×C8—1462no—
1352C2×C8C23×D7311yescharacteristic
1353C2×C8C23×D7311yescharacteristic
1354C2×C8C23×D7311yescharacteristic
1355C2×C8C23×D7311yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—731no—
1367C4⋊C4—731no—
1368C4⋊C4—731no—
1369C4⋊C4—731no—
1370C4⋊C4—731no—
1371C4⋊C4—731no—
1372C4⋊C4—731no—
1373C4⋊C4—731no—
1374C4⋊C4—731no—
1375C4⋊C4—731no—
1376C4⋊C4—1461no—
1377C4⋊C4—1461no—
1378C4⋊C4—1461no—
1379C4⋊C4—1461no—
1380C4⋊C4—1461no—
1381C4⋊C4—1461no—
1382C4⋊C4—1461no—
1383C4⋊C4—1461no—
1384C4⋊C4—1461no—
1385C4⋊C4—1461no—
1386C4⋊C4—1461no—
1387C4⋊C4—1461no—
1388C4⋊C4—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4D4×D7311yescharacteristic
1409C4⋊C4D4×D7311yescharacteristic
1410C4⋊C4C23×D7311yescharacteristic
1411C4⋊C4C23×D7311yescharacteristic
1412C4⋊C4C23×D7311yescharacteristic
1413C4⋊C4C23×D7311yescharacteristic
1414C4⋊C4C23×D7311yescharacteristic
1415C4⋊C4C23×D7311yescharacteristic
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—731no—
1423C22⋊C4—731no—
1424C22⋊C4—731no—
1425C22⋊C4—731no—
1426C22⋊C4—1461no—
1427C22⋊C4—1461no—
1428C22⋊C4—1461no—
1429C22⋊C4—1461no—
1430C22⋊C4—1461no—
1431C22⋊C4—1461no—
1432C22⋊C4—1461no—
1433C22⋊C4—1461no—
1434C22⋊C4—1461no—
1435C22⋊C4—1461no—
1436C22⋊C4—1461no—
1437C22⋊C4—1461no—
1438C22⋊C4—1461no—
1439C22⋊C4—1461no—
1440C22⋊C4—1461no—
1441C22⋊C4—1461no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4D4×D7311yescharacteristic
1449C22⋊C4D4×D7311yescharacteristic
1450C42—21no—
1451C42—21no—
1452C42—731no—
1453C42—731no—
1454C42—731no—
1455C42—731no—
1456C42—731no—
1457C42—731no—
1458C42—731no—
1459C42—731no—
1460C42—1461no—
1461C42—1461no—
1462C42—1461no—
1463C42—1461no—
1464C42—1461no—
1465C42—1461no—
1466C42—1461no—
1467C42—1461no—
1468C42—1461no—
1469C42—1461no—
1470C42C23×D7311yescharacteristic
1471C42C23×D7311yescharacteristic
1472C23—21no—
1473C23—2922no—
1474C23—5841no—
1475C23—5841no—
1476C23—731no—
1477C23—731no—
1478C23—1461no—
1479C23C2×D4×D7311yescharacteristic
1480Q8—21no—
1481Q8—21no—
1482Q8—81no—
1483Q8—81no—
1484Q8—81no—
1485Q8—2922no—
1486Q8—2922no—
1487Q8—2922no—
1488Q8—2922no—
1489Q8—2922no—
1490Q8—5841no—
1491Q8—5841no—
1492Q8—5841no—
1493Q8—5841no—
1494Q8—5841no—
1495Q8—1462no—
1496Q8—1461no—
1497Q8—1461no—
1498D4—21no—
1499D4—21no—
1500D4—81no—
1501D4—2922no—
1502D4—5841no—
1503D4—5841no—
1504D4—5841no—
1505D4—1462no—
1506D4—1462no—
1507D4—1462no—
1508D4—1461no—
1509D4—1461no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—2921no—
1522C2×C4—2921no—
1523C2×C4—2921no—
1524C2×C4—2921no—
1525C2×C4—2922no—
1526C2×C4—2921no—
1527C2×C4—2921no—
1528C2×C4—5841no—
1529C2×C4—5841no—
1530C2×C4—5841no—
1531C2×C4—5841no—
1532C2×C4—5841no—
1533C2×C4—5841no—
1534C2×C4—5841no—
1535C2×C4—5841no—
1536C2×C4—731no—
1537C2×C4—732no—
1538C2×C4—732no—
1539C2×C4—731no—
1540C2×C4—731no—
1541C2×C4—731no—
1542C2×C4—731no—
1543C2×C4—731no—
1544C2×C4—1461no—
1545C2×C4—1461no—
1546C2×C4—1461no—
1547C2×C4—1461no—
1548C2×C4—1461no—
1549C2×C4—1461no—
1550C2×C4—1461no—
1551C2×C4—1461no—
1552C2×C4—1461no—
1553C2×C4C2×D4×D7311yescharacteristic
1554C2×C4C2×D4×D7311yescharacteristic
1555C2×C4C2×D4×D7311yescharacteristic
1556C2×C4C2×D4×D7311yescharacteristic
1557C2×C4C2×D4×D7311yescharacteristic
1558C2×C4C24×D7311yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—1461no—
1564C8—1461no—
1565C8—1461no—
1566C8—1461no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—2921no—
1574C22—2921no—
1575C22—2921no—
1576C22—732no—
1577C22—11682no—
1578C22—1461no—
1579C22—1461no—
1580C22—1461no—
1581C22—1461no—
1582C22—1461no—
1583C22C22×D4×D7311yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—2921no—
1597C4—2921no—
1598C4—2921no—
1599C4—2921no—
1600C4—2921no—
1601C4—2921no—
1602C4—2921no—
1603C4—732no—
1604C4—1461no—
1605C4—1461no—
1606C4—1461no—
1607C4—1461no—
1608C4—1461no—
1609C42−1+4×D7311yescharacteristic
1610C42−1+4×D7311yescharacteristic
1611C2—41no—
1612C2—81no—
1613C2—2921no—
1614C2—5841no—
1615C2—1462no—
1616C2#536×D7311yescharacteristic
1617C2#2262470911yescharacteristic
1618C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3244C2
socleC22×C73C23×D4
prime radical#17989153C22
hypercenter#3244D73
hypocenterC73#60885
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
2. #22623746C2semidirect
3. #22621232C2semidirect
4. #22621230C2semidirect
5. #22621223C2semidirect
6. #22621216C2semidirect
7. #22621214C2semidirect
8. #22621209C2semidirect
9. #22621207C2semidirect
10. #22621176C2semidirect
11. #22621175C2semidirect
12. #22621170C2semidirect
13. #22621169C2semidirect
14. #22621165C2semidirect
15. #22621159C2semidirect
16. #22621155C2semidirect
17. #22621151C2semidirect
18. #22620472C2semidirect
19. #22620452C2semidirect
20. #22620314C2semidirect
21. #489×D73C2semidirect
22. #22619895C2semidirect
23. #22619893C2semidirect
26. #22619772C2semidirect
27. #22619766C2semidirect
28. #22619759C2semidirect
29. #22619757C2semidirect
30. #22618579C2semidirect
31. C73×#3244C2semidirect
49. #17989217C22semidirect
50. #17989215C22semidirect
52. #17989214C22semidirect
59. #17989143C22semidirect
61. #17989140C22semidirect
62. C2×#14556590C22semidirect
64. C4⋊Q8×D73C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988994C22semidirect
81. #17988994C22semidirect
82. #17988994C22semidirect
83. #17988994C22semidirect
84. #17988994C22semidirect
85. #17988993C22semidirect
86. #17988992C22semidirect
87. #17988990C22semidirect
88. #17988983C22semidirect
103. #17988931C22semidirect
104. #17988930C22semidirect
105. #17988929C22semidirect
106. #17988928C22semidirect
107. #17988927C22semidirect
108. #17988926C22semidirect
109. #17988925C22semidirect
110. #17988923C22semidirect
111. #17988922C22semidirect
112. #17988921C22semidirect
113. #17988921C22semidirect
114. #17988919C22semidirect
115. #17988919C22semidirect
116. #17988915C22semidirect
131. #17988897C22semidirect
132. #17988896C22semidirect
133. #17988895C22semidirect
134. #17988894C22semidirect
135. #17988893C22semidirect
136. #17988892C22semidirect
137. #17988891C22semidirect
145. #17988883C22semidirect
146. #17988880C22semidirect
147. #17988880C22semidirect
148. #17988879C22semidirect
152. #17988872C22semidirect
153. #17988871C22semidirect
154. #17988871C22semidirect
159. #17988649C22semidirect
160. #17988648C22semidirect
161. #17988646C22semidirect
162. #17988643C22semidirect
163. #17988643C22semidirect
164. #17988641C22semidirect
165. #17988641C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #498×C73C22semidirect
194. #485×C73C22semidirect
195. #483×C73C22semidirect
198. #479×C73C22semidirect
201. #475×C73C22semidirect
202. #433×C73C22semidirect
815. #3244D73semidirect
841. C73#60885semidirect
863. #544C2×D73semidirect
898. #501C2×D73semidirect
902. #498C2×D73semidirect
926. #485C2×D73semidirect
934. #483C2×D73semidirect
958. #479C2×D73semidirect
978. #475C2×D73semidirect
986. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238232
#226237462
#226212322
#226212302
#226212232
#226212162
#226212142
#226212092
#226212072
#226211762
#226211752
#226211702
#226211692
#226211652
#226211592
#226211552
#226211512
#226204722
#226204522
#226203142
#489×D732
#226198952
#226198932
#226198882
#226198862
#226197722
#226197662
#226197592
#226197572
#226185792
C73×#32442
#6088573