Finite Group Databasebeta

← #33958515

Subgroups — #33958515

Order 18688.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623823C211yesmaximal, characteristic
2#22623754C211yesmaximal, characteristic, complemented
3#22621232C211yesmaximal, characteristic, complemented
4#22621231C211yesmaximal, characteristic, complemented
5#22621222C211yesmaximal, characteristic, complemented
6#22621215C211yesmaximal, characteristic, complemented
7#22621214C211yesmaximal, characteristic, complemented
8#22621209C211yesmaximal, characteristic, complemented
9#22621208C211yesmaximal, characteristic, complemented
10#22621114C211yesmaximal, characteristic, complemented
11#22621113C211yesmaximal, characteristic, complemented
12#22621109C211yesmaximal, characteristic, complemented
13#22621107C211yesmaximal, characteristic, complemented
14#22621103C211yesmaximal, characteristic, complemented
15#22621102C211yesmaximal, characteristic, complemented
16#22621098C211yesmaximal, characteristic, complemented
17#22621097C211yesmaximal, characteristic, complemented
18#22620482C211yesmaximal, characteristic, complemented
19#22620440C211yesmaximal, characteristic, complemented
20#22620316C211yesmaximal, characteristic, complemented
21#488×D73C211yesmaximal, characteristic, complemented
22#22619897C211yesmaximal, characteristic, complemented
23#22619893C211yesmaximal, characteristic, complemented
24#22619888C211yesmaximal, characteristic
25#22619884C211yesmaximal, characteristic
26#22619770C211yesmaximal, characteristic, complemented
27#22619766C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#22619757C211yesmaximal, characteristic, complemented
30#22618572C211yesmaximal, characteristic, complemented
31C73×#3244C211yesmaximal, characteristic, complemented
32#17989321—21no—
33#17989319—21no—
34#17989314—21no—
35#17989312—21no—
36#17989308—21no—
37#17989304—21no—
38#17989298—21no—
39#17989295—21no—
40#17989295—21no—
41#17989293—21no—
42#17989291—21no—
43#17989291—21no—
44#17989267—21no—
45#17989264—21no—
46#17989262—21no—
47#17989260—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#17989142C2211yescharacteristic
59#17989142C2211yescharacteristic
60#17989142C2211yescharacteristic, complemented
61#17989140C2211yescharacteristic, complemented
62#17989124C2211yescharacteristic
63#17989123C2211yescharacteristic
64#17989119C2211yescharacteristic
65#17989118C2211yescharacteristic
66C2×#14556582C2211yescharacteristic, complemented
67#125×D73C2211yescharacteristic
68#125×D73C2211yescharacteristic, complemented
69#124×D73C2211yescharacteristic
70#17989068C2211yescharacteristic
71#17989067C2211yescharacteristic
72#17989063C2211yescharacteristic
73#17989059C2211yescharacteristic
74#17989055C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988993C2211yescharacteristic, complemented
78#17988990C2211yescharacteristic, complemented
79#17988990C2211yescharacteristic, complemented
80#17988988C2211yescharacteristic, complemented
81#17988988C2211yescharacteristic, complemented
82#17988987C2211yescharacteristic, complemented
83#17988987C2211yescharacteristic, complemented
84#17988987C2211yescharacteristic, complemented
85#17988987C2211yescharacteristic, complemented
86#17988987C2211yescharacteristic, complemented
87#17988987C2211yescharacteristic, complemented
88#17988985C2211yescharacteristic, complemented
89#17988949C2211yescharacteristic
90#17988947C2211yescharacteristic
91#17988946C2211yescharacteristic
92#17988944C2211yescharacteristic
93#17988943C2211yescharacteristic
94#17988943C2211yescharacteristic
95#17988943C2211yescharacteristic
96#17988943C2211yescharacteristic
97#17988942C2211yescharacteristic
98#17988941C2211yescharacteristic
99#17988940C2211yescharacteristic
100#17988940C2211yescharacteristic
101#17988940C2211yescharacteristic
102#17988940C2211yescharacteristic
103#17988931C2211yescharacteristic, complemented
104#17988931C2211yescharacteristic, complemented
105#17988929C2211yescharacteristic, complemented
106#17988928C2211yescharacteristic, complemented
107#17988926C2211yescharacteristic, complemented
108#17988926C2211yescharacteristic, complemented
109#17988925C2211yescharacteristic, complemented
110#17988924C2211yescharacteristic, complemented
111#17988922C2211yescharacteristic, complemented
112#17988921C2211yescharacteristic, complemented
113#17988920C2211yescharacteristic, complemented
114#17988919C2211yescharacteristic, complemented
115#17988918C2211yescharacteristic, complemented
116#17988916C2211yescharacteristic, complemented
117#17988913C2211yescharacteristic
118#17988913C2211yescharacteristic
119#17988912C2211yescharacteristic
120#17988911C2211yescharacteristic
121#17988910C2211yescharacteristic
122#17988910C2211yescharacteristic
123#17988908C2211yescharacteristic
124#17988907C2211yescharacteristic
125#17988906C2211yescharacteristic
126#17988904C2211yescharacteristic
127#17988902C2211yescharacteristic
128#17988900C2211yescharacteristic
129#17988899C2211yescharacteristic
130#17988898C2211yescharacteristic
131#17988897C2211yescharacteristic, complemented
132#17988897C2211yescharacteristic, complemented
133#17988895C2211yescharacteristic, complemented
134#17988894C2211yescharacteristic, complemented
135#17988892C2211yescharacteristic, complemented
136#17988892C2211yescharacteristic, complemented
137#17988891C2211yescharacteristic, complemented
138#17988889C2211yescharacteristic
139#17988889C2211yescharacteristic
140#17988888C2211yescharacteristic
141#17988887C2211yescharacteristic
142#17988886C2211yescharacteristic
143#17988886C2211yescharacteristic
144#17988884C2211yescharacteristic
145#17988882C2211yescharacteristic, complemented
146#17988881C2211yescharacteristic, complemented
147#17988880C2211yescharacteristic, complemented
148#17988879C2211yescharacteristic, complemented
149#17988878C2211yescharacteristic
150#17988876C2211yescharacteristic
151#17988875C2211yescharacteristic
152#17988873C2211yescharacteristic, complemented
153#17988871C2211yescharacteristic, complemented
154#17988870C2211yescharacteristic, complemented
155#17988867C2211yescharacteristic
156#17988866C2211yescharacteristic
157#17988865C2211yescharacteristic
158#17988864C2211yescharacteristic
159#17988649C2211yescharacteristic, complemented
160#17988648C2211yescharacteristic, complemented
161#17988646C2211yescharacteristic, complemented
162#17988639C2211yescharacteristic, complemented
163#17988639C2211yescharacteristic, complemented
164#17988637C2211yescharacteristic, complemented
165#17988637C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988622C2211yescharacteristic
171#17988622C2211yescharacteristic
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
186#17988539C2211yescharacteristic
187C4×C8×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
204C2×Q8×D73C2311yescharacteristic
205C2×D4×D73C2311yescharacteristic
206C2×#11924011C2311yescharacteristic
207C2×#11924011C2311yescharacteristic
208C2×C8×D73C2311yescharacteristic
209C2×C8×D73C2311yescharacteristic
210#14556591C2311yescharacteristic
211#14556591C2311yescharacteristic
212#14556591C2311yescharacteristic
213#14556590—21no—
214#14556590—21no—
215#14556590—21no—
216#14556590—21no—
217#14556590C2311yescharacteristic
218#14556590C2311yescharacteristic
219#14556589—21no—
220#14556589—21no—
221#14556587—21no—
222#14556586—21no—
223#14556586—21no—
224#14556586—21no—
225#14556586—21no—
226#14556584—21no—
227#14556584—21no—
228#14556584—21no—
229#14556583C2311yescharacteristic
230#14556583C2311yescharacteristic
231#14556582—21no—
232#14556582—21no—
233#14556582—21no—
234#14556582C2311yescharacteristic
235#14556582C2311yescharacteristic
236#14556582C2311yescharacteristic
237#14556582C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556581—21no—
243#14556581—21no—
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556580—21no—
251#14556580C2311yescharacteristic
252#14556579C2311yescharacteristic
253#14556578C2311yescharacteristic
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556575—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556572—21no—
269#14556571—21no—
270#14556571—21no—
271#14556571—21no—
272#14556571—21no—
273#14556571—21no—
274#14556571C2311yescharacteristic
275#14556570C2311yescharacteristic
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556567—21no—
287#14556567—21no—
288#14556567—21no—
289#14556567—21no—
290#14556567—21no—
291#14556567—21no—
292#14556567C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556562C2311yescharacteristic
296#14556561—21no—
297#14556559—21no—
298Q8×Dic73—21no—
299Q8×Dic73—21no—
300Q8×Dic73—21no—
301Q8×Dic73C2311yescharacteristic
302C4×Dic146—21no—
303C4×Dic146—21no—
304C4×Dic146—21no—
305C4×Dic146—21no—
306C4×Dic146C2311yescharacteristic
307#14556556—21no—
308#14556556—21no—
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556D411yescharacteristic
313#14556556D411yescharacteristic
314#14556556C2311yescharacteristic
315C4×D292—21no—
316C4×D292—21no—
317C4×D292C2311yescharacteristic
318D4×Dic73—21no—
319D4×Dic73C2311yescharacteristic
320#14556553—21no—
321#14556553D411yescharacteristic
322#14556553D411yescharacteristic
323#14556553C2311yescharacteristic
324C4×C22⋊D73—21no—
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328#14556551—21no—
329#14556551—21no—
330#14556551—21no—
331#14556551—21no—
332#14556551D411yescharacteristic
333#14556551D411yescharacteristic
334#14556551D411yescharacteristic
335#14556551D411yescharacteristic
336#14556550—21no—
337#14556550C2311yescharacteristic
338#14556549—21no—
339#14556549—21no—
340#14556549C2311yescharacteristic
341#14556549C2311yescharacteristic
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556548—21no—
347#14556548—21no—
348#14556548C2311yescharacteristic
349#14556548C2311yescharacteristic
350#14556547—21no—
351C2×C4⋊Dic73—21no—
352C2×C4⋊Dic73C2311yescharacteristic
353C2×#11924007—21no—
354C4⋊C4×D73—21no—
355C4⋊C4×D73—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#14556524C2311yescharacteristic
372#14556524C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
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
430C4×#10596831C2311yescharacteristic
431C8×Dic73C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
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×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489Q8×D73—22no—
490Q8×D73—22no—
491C2×D292—21no—
492C2×D292C2×D411yescharacteristic
493C2×D292C2411yescharacteristic
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73C2×D411yescharacteristic
498C2×C22⋊D73C2×D411yescharacteristic
499D4×D73—22no—
500D4×D73—22no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73C2×D411yescharacteristic
504C22×Dic73C2×D411yescharacteristic
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73C2×D411yescharacteristic
513C2×C4×D73C2×D411yescharacteristic
514C2×C4×D73C2×D411yescharacteristic
515C2×C4×D73C2×D411yescharacteristic
516C2×C4×D73C2411yescharacteristic
517C2×C4×D73C2411yescharacteristic
518#11924011—22no—
519#11924011—22no—
520C2×#10596831C2411yescharacteristic
521C2×#10596831C2411yescharacteristic
522C2×#10596831C2411yescharacteristic
523C2×#10596831C2411yescharacteristic
524C8×D73—22no—
525C8×D73—22no—
526C4⋊Dic73—21no—
527C4⋊Dic73—21no—
528C4⋊Dic73—21no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
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#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572C22⋊Dic73—21no—
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578#11924005—21no—
579#11924005—21no—
580#11924005—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#11924005C2×D411yescharacteristic
595#11924005C2×D411yescharacteristic
596#11924005C2×D411yescharacteristic
597#11924005C2×D411yescharacteristic
598C4×Dic73—21no—
599C4×Dic73—21no—
600C4×Dic73—21no—
601C4×Dic73—21no—
602C4×Dic73—21no—
603C4×Dic73—21no—
604C4×Dic73—21no—
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73C2×D411yescharacteristic
609C4×Dic73C2×D411yescharacteristic
610C4×Dic73C2×D411yescharacteristic
611C4×Dic73C2×D411yescharacteristic
612C4×Dic73C2×D411yescharacteristic
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2411yescharacteristic
615C4×Dic73C2411yescharacteristic
616C2×Q8×C73—21no—
617C2×Q8×C73—21no—
618C2×Q8×C73—21no—
619C2×Q8×C73C2411yescharacteristic
620C2×D4×C73—21no—
621C2×D4×C73C2411yescharacteristic
622C22×C4×C73—21no—
623C22×C4×C73—21no—
624C22×C4×C73C2411yescharacteristic
625C2×C8×C73C2411yescharacteristic
626C2×C8×C73C2411yescharacteristic
627C2×C8×C73C2411yescharacteristic
628C2×C8×C73C2411yescharacteristic
629C4⋊C4×C73—21no—
630C4⋊C4×C73—21no—
631C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
640C4⋊C4×C73C2×D411yescharacteristic
641C4⋊C4×C73C2411yescharacteristic
642C4⋊C4×C73C2411yescharacteristic
643C4⋊C4×C73C2411yescharacteristic
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C22⋊C4×C73—21no—
648C22⋊C4×C73—21no—
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73C2×D411yescharacteristic
654C22⋊C4×C73C2×D411yescharacteristic
655C42×C73—21no—
656C42×C73—21no—
657C42×C73C2411yescharacteristic
658C42×C73C2411yescharacteristic
659C23×C73—21no—
660C23×C73C22×D411yescharacteristic
661C22×D73—21no—
662C22×D73—42no—
663C22×D73—81no—
664C22×D73—81no—
665C22×D73C22×D411yescharacteristic
666C22×D73C22×D411yescharacteristic
667Q8×C73—21no—
668Q8×C73—21no—
669Q8×C73—81no—
670Q8×C73—81no—
671Q8×C73—81no—
672D4×C73—21no—
673D4×C73—21no—
674D4×C73—81no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
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—81no—
685C2×C4×C73—81no—
686C2×C4×C73C22×D411yescharacteristic
687C2×C4×C73C22×D411yescharacteristic
688C2×C4×C73C22×D411yescharacteristic
689C2×C4×C73C22×D411yescharacteristic
690C2×C4×C73C22×D411yescharacteristic
691C2×C4×C73C2511yescharacteristic
692C22⋊D73—22no—
693C22⋊D73—22no—
694C22⋊D73—42no—
695C22⋊D73—81no—
696C22⋊D73—81no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—41no—
705C2×Dic73—41no—
706C2×Dic73—81no—
707C2×Dic73—81no—
708C2×Dic73C22×D411yescharacteristic
709C2×Dic73C22×D411yescharacteristic
710C2×Dic73C22×D411yescharacteristic
711C2×Dic73C22×D411yescharacteristic
712C2×Dic73C22×D411yescharacteristic
713C2×Dic73C22×D411yescharacteristic
714D292—22no—
715D292—21no—
716D292—21no—
717D292—81no—
718C4×D73—21no—
719C4×D73—21no—
720C4×D73—41no—
721C4×D73—41no—
722C4×D73—41no—
723C4×D73—41no—
724C4×D73—42no—
725C4×D73—81no—
726C4×D73—81no—
727C4×D73—81no—
728C4×D73—81no—
729C4×D73—81no—
730C4×D73—81no—
731C4×D732−1+412yes—
732C4×D732−1+412yes—
733Dic146—22no—
734Dic146—21no—
735Dic146—21no—
736Dic146—42no—
737Dic146—81no—
738Dic146—81no—
739Dic146—81no—
740Dic146—81no—
741Dic146—81no—
742C8×C73—21no—
743C8×C73—21no—
744C8×C73—21no—
745C8×C73—21no—
746#10596831—21no—
747#10596831—21no—
748#10596831—21no—
749#10596831—21no—
750C22×C73—21no—
751C22×C73—21no—
752C22×C73—21no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73C23×D411yescharacteristic
757C2×D73—21no—
758C2×D73—21no—
759C2×D73—21no—
760C2×D73—21no—
761C2×D73—21no—
762C2×D73—41no—
763C2×D73—41no—
764C2×D73—41no—
765C2×D73—162no—
766C2×D73#53612yes—
767C4×C73—21no—
768C4×C73—21no—
769C4×C73—21no—
770C4×C73—21no—
771C4×C73—21no—
772C4×C73—41no—
773C4×C73—41no—
774C4×C73—41no—
775C4×C73—41no—
776C4×C73—41no—
777C4×C73—41no—
778C4×C73—41no—
779C4×C73C2×2−1+411yescharacteristic
780C4×C73C2×2−1+411yescharacteristic
781Dic73—21no—
782Dic73—21no—
783Dic73—21no—
784Dic73—21no—
785Dic73—21no—
786Dic73—41no—
787Dic73—41no—
788Dic73—41no—
789Dic73—41no—
790Dic73—41no—
791Dic73—41no—
792Dic73—41no—
793Dic73#53612yes—
794#60879—731nomaximal, Sylow
795C2×C73—41no—
796C2×C73—81no—
797C2×C73C2×#53611yescharacteristic
798C2×C73#358411yescharacteristic
799C2×C73#358411yescharacteristic
800D73—22no—
801D73—41no—
802D73—81no—
803#3510—731no—
804#3504—731no—
805#3244—731no—
806#3244—731no—
807#3244—731no—
808#3244D7311yescharacteristic, complemented
809#3243—731no—
810#3243—731no—
811#3243—731no—
812#3243—731no—
813#3233—731no—
814#3233—731no—
815#3233—731no—
816#3233—731no—
817#3232—731no—
818#3232—731no—
819#3232—731no—
820#3232—731no—
821#3166—731no—
822#3160—731no—
823#3140—731no—
824C2×#488—731no—
825#3097—731no—
826#3097—731no—
827#3096—731no—
828#3096—731no—
829#3082—731no—
830#3082—731no—
831#3081—731no—
832#3081—731no—
833#2922—731no—
834C73#6087911yescharacteristic, complemented, Sylow
835#559—1461no—
836#559—1461no—
837#557—1461no—
838#557—1461no—
839#556—1461no—
840#556—1461no—
841#554—1461no—
842#554—1461no—
843#554—1461no—
844#554—1461no—
845#554—1461no—
846#554—1461no—
847#551—1461no—
848#551—1461no—
849#551—1461no—
850#551—1461no—
851#544—731no—
852#544—731no—
853#544—731no—
854#544—731no—
855#544—731no—
856#544C2×D7311yescharacteristic, complemented
857#542—731no—
858#542—731no—
859#542—731no—
860#542C2×D7311yescharacteristic
861#536—731no—
862#535—731no—
863#533—731no—
864#533—731no—
865#533—731no—
866#533—731no—
867#529—731no—
868#529—731no—
869#529—731no—
870#529—731no—
871C2×#125—731no—
872C2×#125—731no—
873C2×#125—731no—
874C2×#124—731no—
875#520—731no—
876#520—731no—
877#519—731no—
878#518—731no—
879C4×#41—731no—
880#501—731no—
881#501—731no—
882#501—731no—
883#501C2×D7311yescharacteristic, complemented
884#500—731no—
885#500—731no—
886#499—731no—
887#499—731no—
888#499—731no—
889#499—731no—
890#499—731no—
891#499—731no—
892#499—731no—
893#499—731no—
894#498—731no—
895#498C2×D7311yescharacteristic, complemented
896#489—731no—
897#489—731no—
898#489—731no—
899#489C2×D7311yescharacteristic
900#488—731no—
901#488—731no—
902#488—731no—
903#488—731no—
904#488—731no—
905#488—731no—
906#488—731no—
907#488—731no—
908#488—731no—
909#488—731no—
910#488—731no—
911#488C2×D7311yescharacteristic
912#485—731no—
913#485—731no—
914#485—731no—
915#485—731no—
916#485—731no—
917#485—731no—
918#485—731no—
919#485C2×D7311yescharacteristic, complemented
920#484—731no—
921#484—731no—
922#484—731no—
923#484—731no—
924#483—731no—
925#483—731no—
926#483—731no—
927#483C2×D7311yescharacteristic, complemented
928#482—731no—
929#482—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482C2×D7311yescharacteristic
936#481—731no—
937#481—731no—
938#481—731no—
939#481C2×D7311yescharacteristic
940#480—731no—
941#480—731no—
942#480—731no—
943#480—731no—
944#479—731no—
945#479—731no—
946#479—731no—
947#479—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479C2×D7311yescharacteristic, complemented
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478C2×D7311yescharacteristic
960#477—731no—
961#477—731no—
962#477—731no—
963#477—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476C2×D7311yescharacteristic
968#475—731no—
969#475—731no—
970#475—731no—
971#475C2×D7311yescharacteristic, complemented
972#474—731no—
973#474—731no—
974#474—731no—
975#474—731no—
976#433—731no—
977#433—731no—
978#433—731no—
979#433C2×D7311yescharacteristic, complemented
980#431—731no—
981#431—731no—
982#431—731no—
983#431—731no—
984#428—731no—
985#428—731no—
986#428—731no—
987#428—731no—
988#427—731no—
989#427—731no—
990#427—731no—
991#427—731no—
992#424—731no—
993#424—731no—
994#419—731no—
995#419—731no—
996#418—731no—
997#418—731no—
998C2×#103—731no—
999C2×#103—731no—
1000C2×#102—731no—
1001C2×#102—731no—
1002#408—731no—
1003#408—731no—
1004C4×M16—731no—
1005C2×C4×C8—731no—
1006C2×#41—731no—
1007C22×Q8—731no—
1008C22×D4—731no—
1009C2×M16—731no—
1010C2×M16—731no—
1011C22×C8—731no—
1012C22×C8—731no—
1013C4⋊Q8—21no—
1014C4⋊Q8—731no—
1015C4⋊Q8—731no—
1016C4⋊Q8—731no—
1017C4⋊Q8—731no—
1018C4⋊Q8—731no—
1019C4⋊Q8—1461no—
1020C4⋊Q8—1461no—
1021C4⋊Q8—1461no—
1022C4⋊Q8—1461no—
1023C4⋊Q8—1461no—
1024C4⋊Q8—1461no—
1025C4⋊Q8C22×D7311yescharacteristic
1026C4⋊Q8C22×D7311yescharacteristic
1027C4⋊Q8C22×D7311yescharacteristic
1028#127—1461no—
1029#126—21no—
1030#126—1461no—
1031#126—1461no—
1032#126—1461no—
1033#126—1461no—
1034#126—1461no—
1035#126—1461no—
1036#126—1461no—
1037#125—21no—
1038#125—731no—
1039#125—731no—
1040#125—731no—
1041#125—731no—
1042#125—731no—
1043#125—731no—
1044#125—731no—
1045#125—731no—
1046#125—731no—
1047#125—731no—
1048#125—1461no—
1049#125—1461no—
1050#125—1461no—
1051#125—1461no—
1052#125—1461no—
1053#125—1461no—
1054#125—1461no—
1055#125—1461no—
1056#125—1461no—
1057#125—1461no—
1058#125—1461no—
1059#125C22×D7311yescharacteristic
1060#125C22×D7311yescharacteristic
1061#124—21no—
1062#124—731no—
1063#124—731no—
1064#124—731no—
1065#124—1461no—
1066#124—1461no—
1067#124—1461no—
1068#124—1461no—
1069#124—1461no—
1070#124—1461no—
1071#124—1461no—
1072#124C22×D7311yescharacteristic
1073#123—21no—
1074#123—1461no—
1075#123—1461no—
1076#123—1461no—
1077#123—1461no—
1078#123—1461no—
1079#123—1461no—
1080#123—1461no—
1081#123—1461no—
1082#123—1461no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—731no—
1087C22⋊Q8—731no—
1088C22⋊Q8—731no—
1089C22⋊Q8—1461no—
1090C22⋊Q8—1461no—
1091C22⋊Q8—1461no—
1092C22⋊Q8—1461no—
1093C22⋊Q8—1461no—
1094C22⋊Q8—1461no—
1095C22⋊Q8—1461no—
1096C22⋊Q8—1461no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1111#121—731no—
1112#121—731no—
1113#121—731no—
1114#121C22×D7311yescharacteristic
1115#120—1461no—
1116#120—1461no—
1117C4×Q8—731no—
1118C4×Q8—731no—
1119C4×Q8—731no—
1120C4×Q8—731no—
1121C4×Q8—731no—
1122C4×Q8—1461no—
1123C4×Q8—1461no—
1124C4×Q8—1461no—
1125C4×Q8—1461no—
1126C4×Q8—1461no—
1127C4×Q8—1461no—
1128C4×Q8—1461no—
1129C4×Q8—1461no—
1130C4×Q8—1461no—
1131C4×Q8—1461no—
1132C4×Q8—1461no—
1133C4×Q8—1461no—
1134C4×Q8C22×D7311yescharacteristic
1135C4×D4—731no—
1136C4×D4—731no—
1137C4×D4—731no—
1138C4×D4—731no—
1139C4×D4—731no—
1140C4×D4—731no—
1141C4×D4—731no—
1142C4×D4—731no—
1143C4×D4—731no—
1144C4×D4—1461no—
1145C4×D4—1461no—
1146C4×D4—1461no—
1147C4×D4—1461no—
1148C4×D4—1461no—
1149C4×D4—1461no—
1150C4×D4—1461no—
1151C4×D4—1461no—
1152C4×D4—1461no—
1153C4×D4—1461no—
1154C4×D4—1461no—
1155C4×D4—1461no—
1156C4×D4C22×D7311yescharacteristic
1157#117—731no—
1158#117—731no—
1159#117—731no—
1160#117—731no—
1161#117—731no—
1162#117—731no—
1163#117—731no—
1164#117—731no—
1165#117—731no—
1166#117—1461no—
1167#117—1461no—
1168#117—1461no—
1169#117—1461no—
1170#117—1461no—
1171#117—1461no—
1172#117C22×D7311yescharacteristic
1173#117C22×D7311yescharacteristic
1174C2×C4⋊C4—731no—
1175C2×C4⋊C4—731no—
1176C2×C4⋊C4—731no—
1177C2×C4⋊C4—731no—
1178C2×C4⋊C4—731no—
1179C2×C4⋊C4—1461no—
1180C2×C4⋊C4—1461no—
1181C2×C4⋊C4—1461no—
1182C2×C4⋊C4—1461no—
1183C2×C4⋊C4—1461no—
1184C2×C4⋊C4—1461no—
1185C2×C4⋊C4C22×D7311yescharacteristic
1186C2×C22⋊C4—1461no—
1187C2×C22⋊C4—1461no—
1188C2×C22⋊C4—1461no—
1189C2×C22⋊C4—1461no—
1190C2×C42—731no—
1191C2×C42—731no—
1192C2×C42—731no—
1193#107—731no—
1194#107—731no—
1195#107—731no—
1196#107—731no—
1197#107—731no—
1198#107—731no—
1199#107—731no—
1200#107—731no—
1201#107—731no—
1202#107—731no—
1203#107—731no—
1204#107—731no—
1205#107—731no—
1206#107—731no—
1207#107C22×D7311yescharacteristic
1208#107C22×D7311yescharacteristic
1209#106—731no—
1210#106—731no—
1211#106—731no—
1212#106—731no—
1213#106—731no—
1214#106—731no—
1215#106—731no—
1216#106—731no—
1217#106—731no—
1218#106—731no—
1219#106C22×D7311yescharacteristic
1220#106C22×D7311yescharacteristic
1221#106C22×D7311yescharacteristic
1222#106C22×D7311yescharacteristic
1223#106C22×D7311yescharacteristic
1224#106C22×D7311yescharacteristic
1225C4⋊C8—731no—
1226C4⋊C8—731no—
1227C4⋊C8—731no—
1228C4⋊C8—731no—
1229C4⋊C8—731no—
1230C4⋊C8—731no—
1231C4⋊C8C22×D7311yescharacteristic
1232C4⋊C8C22×D7311yescharacteristic
1233#103—731no—
1234#103—731no—
1235#103—731no—
1236#103—731no—
1237#103—731no—
1238#103—731no—
1239#103—731no—
1240#103—731no—
1241#103—731no—
1242#103—731no—
1243#103—731no—
1244#103—731no—
1245#103C22×D7311yescharacteristic
1246#103C22×D7311yescharacteristic
1247#103C22×D7311yescharacteristic
1248#103C22×D7311yescharacteristic
1249#102—731no—
1250#102—731no—
1251#102—731no—
1252#102—731no—
1253#102—731no—
1254#102—731no—
1255#102—731no—
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102C22×D7311yescharacteristic
1262#102C22×D7311yescharacteristic
1263#102C22×D7311yescharacteristic
1264#102C22×D7311yescharacteristic
1265C22⋊C8—731no—
1266C22⋊C8—731no—
1267C22⋊C8—731no—
1268C22⋊C8—731no—
1269C22⋊C8—731no—
1270C22⋊C8—731no—
1271C22⋊C8C22×D7311yescharacteristic
1272C22⋊C8C22×D7311yescharacteristic
1273#97—731no—
1274#97C22×D7311yescharacteristic
1275C4×C8—731no—
1276C4×C8—731no—
1277C4×C8—731no—
1278C4×C8—731no—
1279C4×C8—731no—
1280C4×C8C22×D7311yescharacteristic
1281C24—1461no—
1282#41—1462no—
1283#41—1462no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—21no—
1287C2×Q8—731no—
1288C2×Q8—731no—
1289C2×Q8—1461no—
1290C2×Q8—1461no—
1291C2×Q8—1461no—
1292C2×Q8—1462no—
1293C2×Q8—1462no—
1294C2×Q8—1461no—
1295C2×Q8—1461no—
1296C2×Q8—1461no—
1297C2×Q8C23×D7311yescharacteristic
1298C2×D4—21no—
1299C2×D4—731no—
1300C2×D4—731no—
1301C2×D4—731no—
1302C2×D4—731no—
1303C2×D4—1461no—
1304C2×D4—1462no—
1305C2×D4—1462no—
1306C2×D4—1461no—
1307C2×D4—1461no—
1308C2×D4—1461no—
1309C2×D4C23×D7311yescharacteristic
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—731no—
1313C22×C4—731no—
1314C22×C4—731no—
1315C22×C4—731no—
1316C22×C4—731no—
1317C22×C4—731no—
1318C22×C4—731no—
1319C22×C4—731no—
1320C22×C4—1461no—
1321C22×C4—1461no—
1322C22×C4—1461no—
1323C22×C4—1461no—
1324C22×C4—1461no—
1325C22×C4—1461no—
1326C22×C4—1461no—
1327C22×C4—1461no—
1328C22×C4—1461no—
1329C22×C4C23×D7311yescharacteristic
1330M16—1462no—
1331M16—1462no—
1332C2×C8—731no—
1333C2×C8—731no—
1334C2×C8—731no—
1335C2×C8—731no—
1336C2×C8—1462no—
1337C2×C8—1462no—
1338C2×C8C23×D7311yescharacteristic
1339C2×C8C23×D7311yescharacteristic
1340C2×C8C23×D7311yescharacteristic
1341C2×C8C23×D7311yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—731no—
1353C4⋊C4—731no—
1354C4⋊C4—731no—
1355C4⋊C4—731no—
1356C4⋊C4—731no—
1357C4⋊C4—731no—
1358C4⋊C4—731no—
1359C4⋊C4—731no—
1360C4⋊C4—731no—
1361C4⋊C4—731no—
1362C4⋊C4—1461no—
1363C4⋊C4—1461no—
1364C4⋊C4—1461no—
1365C4⋊C4—1461no—
1366C4⋊C4—1461no—
1367C4⋊C4—1461no—
1368C4⋊C4—1461no—
1369C4⋊C4—1461no—
1370C4⋊C4—1461no—
1371C4⋊C4—1461no—
1372C4⋊C4—1461no—
1373C4⋊C4—1461no—
1374C4⋊C4—1461no—
1375C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1399C4⋊C4D4×D7311yescharacteristic
1400C4⋊C4C23×D7311yescharacteristic
1401C4⋊C4C23×D7311yescharacteristic
1402C4⋊C4C23×D7311yescharacteristic
1403C4⋊C4C23×D7311yescharacteristic
1404C4⋊C4C23×D7311yescharacteristic
1405C4⋊C4C23×D7311yescharacteristic
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4—731no—
1413C22⋊C4—731no—
1414C22⋊C4—731no—
1415C22⋊C4—731no—
1416C22⋊C4—1461no—
1417C22⋊C4—1461no—
1418C22⋊C4—1461no—
1419C22⋊C4—1461no—
1420C22⋊C4—1461no—
1421C22⋊C4—1461no—
1422C22⋊C4—1461no—
1423C22⋊C4—1461no—
1424C22⋊C4—1461no—
1425C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1439C22⋊C4D4×D7311yescharacteristic
1440C42—21no—
1441C42—21no—
1442C42—731no—
1443C42—731no—
1444C42—731no—
1445C42—731no—
1446C42—731no—
1447C42—731no—
1448C42—731no—
1449C42—731no—
1450C42—1461no—
1451C42—1461no—
1452C42—1461no—
1453C42—1461no—
1454C42—1461no—
1455C42—1461no—
1456C42—1461no—
1457C42—1461no—
1458C42—1461no—
1459C42—1461no—
1460C42C23×D7311yescharacteristic
1461C42C23×D7311yescharacteristic
1462C23—21no—
1463C23—2922no—
1464C23—5841no—
1465C23—5841no—
1466C23—731no—
1467C23—731no—
1468C23—1461no—
1469C23C2×D4×D7311yescharacteristic
1470Q8—21no—
1471Q8—21no—
1472Q8—81no—
1473Q8—81no—
1474Q8—81no—
1475Q8—2922no—
1476Q8—5841no—
1477Q8—5841no—
1478Q8—5841no—
1479Q8—5841no—
1480Q8—5841no—
1481Q8—1462no—
1482Q8—1461no—
1483Q8—1461no—
1484D4—21no—
1485D4—21no—
1486D4—81no—
1487D4—2922no—
1488D4—5841no—
1489D4—5841no—
1490D4—5841no—
1491D4—1462no—
1492D4—1462no—
1493D4—1462no—
1494D4—1461no—
1495D4—1461no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—2921no—
1508C2×C4—2921no—
1509C2×C4—2921no—
1510C2×C4—2921no—
1511C2×C4—2922no—
1512C2×C4—2921no—
1513C2×C4—2921no—
1514C2×C4—5841no—
1515C2×C4—5841no—
1516C2×C4—5841no—
1517C2×C4—5841no—
1518C2×C4—5841no—
1519C2×C4—5841no—
1520C2×C4—5841no—
1521C2×C4—5841no—
1522C2×C4—731no—
1523C2×C4—732no—
1524C2×C4—732no—
1525C2×C4—731no—
1526C2×C4—731no—
1527C2×C4—731no—
1528C2×C4—731no—
1529C2×C4—731no—
1530C2×C4—1461no—
1531C2×C4—1461no—
1532C2×C4—1461no—
1533C2×C4—1461no—
1534C2×C4—1461no—
1535C2×C4—1461no—
1536C2×C4—1461no—
1537C2×C4—1461no—
1538C2×C4—1461no—
1539C2×C4C2×D4×D7311yescharacteristic
1540C2×C4C2×D4×D7311yescharacteristic
1541C2×C4C2×D4×D7311yescharacteristic
1542C2×C4C2×D4×D7311yescharacteristic
1543C2×C4C2×D4×D7311yescharacteristic
1544C2×C4C24×D7311yescharacteristic
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—1461no—
1550C8—1461no—
1551C8—1461no—
1552C8—1461no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—2921no—
1560C22—2921no—
1561C22—2921no—
1562C22—732no—
1563C22—11682no—
1564C22—1461no—
1565C22—1461no—
1566C22—1461no—
1567C22—1461no—
1568C22—1461no—
1569C22C22×D4×D7311yescharacteristic
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—2921no—
1583C4—2921no—
1584C4—2921no—
1585C4—2921no—
1586C4—2921no—
1587C4—2921no—
1588C4—2921no—
1589C4—732no—
1590C4—1461no—
1591C4—1461no—
1592C4—1461no—
1593C4—1461no—
1594C4—1461no—
1595C42−1+4×D7311yescharacteristic
1596C42−1+4×D7311yescharacteristic
1597C2—41no—
1598C2—81no—
1599C2—2921no—
1600C2—5841no—
1601C2—1462no—
1602C2#536×D7311yescharacteristic
1603C2#2262470311yescharacteristic
1604C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3244C2
socleC22×C73C23×D4
prime radical#17989153C22
hypercenter#3244D73
hypocenterC73#60879
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. #22623754C2semidirect
3. #22621232C2semidirect
4. #22621231C2semidirect
5. #22621222C2semidirect
6. #22621215C2semidirect
7. #22621214C2semidirect
8. #22621209C2semidirect
9. #22621208C2semidirect
10. #22621114C2semidirect
11. #22621113C2semidirect
12. #22621109C2semidirect
13. #22621107C2semidirect
14. #22621103C2semidirect
15. #22621102C2semidirect
16. #22621098C2semidirect
17. #22621097C2semidirect
18. #22620482C2semidirect
19. #22620440C2semidirect
20. #22620316C2semidirect
21. #488×D73C2semidirect
22. #22619897C2semidirect
23. #22619893C2semidirect
26. #22619770C2semidirect
27. #22619766C2semidirect
28. #22619761C2semidirect
29. #22619757C2semidirect
30. #22618572C2semidirect
31. C73×#3244C2semidirect
49. #17989217C22semidirect
50. #17989215C22semidirect
52. #17989214C22semidirect
60. #17989142C22semidirect
61. #17989140C22semidirect
66. C2×#14556582C22semidirect
68. #125×D73C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988993C22semidirect
78. #17988990C22semidirect
79. #17988990C22semidirect
80. #17988988C22semidirect
81. #17988988C22semidirect
82. #17988987C22semidirect
83. #17988987C22semidirect
84. #17988987C22semidirect
85. #17988987C22semidirect
86. #17988987C22semidirect
87. #17988987C22semidirect
88. #17988985C22semidirect
103. #17988931C22semidirect
104. #17988931C22semidirect
105. #17988929C22semidirect
106. #17988928C22semidirect
107. #17988926C22semidirect
108. #17988926C22semidirect
109. #17988925C22semidirect
110. #17988924C22semidirect
111. #17988922C22semidirect
112. #17988921C22semidirect
113. #17988920C22semidirect
114. #17988919C22semidirect
115. #17988918C22semidirect
116. #17988916C22semidirect
131. #17988897C22semidirect
132. #17988897C22semidirect
133. #17988895C22semidirect
134. #17988894C22semidirect
135. #17988892C22semidirect
136. #17988892C22semidirect
137. #17988891C22semidirect
145. #17988882C22semidirect
146. #17988881C22semidirect
147. #17988880C22semidirect
148. #17988879C22semidirect
152. #17988873C22semidirect
153. #17988871C22semidirect
154. #17988870C22semidirect
159. #17988649C22semidirect
160. #17988648C22semidirect
161. #17988646C22semidirect
162. #17988639C22semidirect
163. #17988639C22semidirect
164. #17988637C22semidirect
165. #17988637C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #498×C73C22semidirect
194. #485×C73C22semidirect
195. #483×C73C22semidirect
198. #479×C73C22semidirect
201. #475×C73C22semidirect
202. #433×C73C22semidirect
808. #3244D73semidirect
834. C73#60879semidirect
856. #544C2×D73semidirect
883. #501C2×D73semidirect
895. #498C2×D73semidirect
919. #485C2×D73semidirect
927. #483C2×D73semidirect
951. #479C2×D73semidirect
971. #475C2×D73semidirect
979. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238232
#226237542
#226212322
#226212312
#226212222
#226212152
#226212142
#226212092
#226212082
#226211142
#226211132
#226211092
#226211072
#226211032
#226211022
#226210982
#226210972
#226204822
#226204402
#226203162
#488×D732
#226198972
#226198932
#226198882
#226198842
#226197702
#226197662
#226197612
#226197572
#226185722
C73×#32442
#6087973