Finite Group Databasebeta

← #33958433

Subgroups — #33958433

Order 18688.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623661C211yesmaximal, characteristic
2#22623334C211yesmaximal, characteristic, complemented
3#22621232C211yesmaximal, characteristic, complemented
4#22621228C211yesmaximal, characteristic, complemented
5#22621217C211yesmaximal, characteristic, complemented
6#22621213C211yesmaximal, characteristic, complemented
7#22621189C211yesmaximal, characteristic, complemented
8#22621181C211yesmaximal, characteristic, complemented
9#22621177C211yesmaximal, characteristic, complemented
10#22621177C211yesmaximal, characteristic, complemented
11#22621171C211yesmaximal, characteristic, complemented
12#22621169C211yesmaximal, characteristic, complemented
13#22621126C211yesmaximal, characteristic, complemented
14#22621125C211yesmaximal, characteristic, complemented
15#22621112C211yesmaximal, characteristic, complemented
16#22621107C211yesmaximal, characteristic, complemented
17#22621065C211yesmaximal, characteristic, complemented
18#22620464C211yesmaximal, characteristic, complemented
19#22620456C211yesmaximal, characteristic, complemented
20#22620280C211yesmaximal, characteristic, complemented
21#22620280C211yesmaximal, characteristic, complemented
22#22619870C211yesmaximal, characteristic, complemented
23#22619859C211yesmaximal, characteristic, complemented
24#22619843C211yesmaximal, characteristic, complemented
25#482×D73C211yesmaximal, characteristic, complemented
26#22619794C211yesmaximal, characteristic, complemented
27#22619783C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#22619759C211yesmaximal, characteristic, complemented
30#22618584C211yesmaximal, characteristic, complemented
31C73×#3228C211yesmaximal, characteristic, complemented
32#17989299—21no—
33#17989286—21no—
34#17989280—21no—
35#17989267—21no—
36#17989266—21no—
37#17989236—21no—
38#17989226—21no—
39#17989225—21no—
40#17989217C2211yescharacteristic
41#17989217C2211yescharacteristic
42#17989217C2211yescharacteristic, complemented
43#17989217C2211yescharacteristic, complemented
44#17989216—21no—
45#17989216—21no—
46#17989214C2211yescharacteristic
47#17989214C2211yescharacteristic
48#17989214C2211yescharacteristic
49#17989214C2211yescharacteristic, complemented
50#17989214C2211yescharacteristic, complemented
51#17989212—21no—
52#17989212—21no—
53#17989211C2211yescharacteristic
54#17989202C2211yescharacteristic
55#17989191C2211yescharacteristic
56#17989188C2211yescharacteristic
57#17989150C2211yescharacteristic
58#17989144C2211yescharacteristic, complemented
59#17989141—21no—
60#17989141—21no—
61#17989141—21no—
62#17989141—21no—
63#17989140C2211yescharacteristic, complemented
64#17989140C2211yescharacteristic, complemented
65#17989132C2211yescharacteristic
66#17989121C2211yescharacteristic
67#17989118C2211yescharacteristic
68#17989097C2211yescharacteristic
69#121×D73C2211yescharacteristic
70#17989066C2211yescharacteristic
71#17989059C2211yescharacteristic
72C2×#14556548C2211yescharacteristic
73#117×D73C2211yescharacteristic
74#117×D73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988993C2211yescharacteristic, complemented
81#17988993C2211yescharacteristic, complemented
82#17988993C2211yescharacteristic, complemented
83#17988991C2211yescharacteristic, complemented
84#17988989C2211yescharacteristic, complemented
85#17988989C2211yescharacteristic, complemented
86#17988988C2211yescharacteristic, complemented
87#17988987C2211yescharacteristic, complemented
88#17988984C2211yescharacteristic, complemented
89#17988951C2211yescharacteristic, complemented
90#17988951C2211yescharacteristic, complemented
91#17988950C2211yescharacteristic, complemented
92#17988950C2211yescharacteristic, complemented
93#17988949C2211yescharacteristic, complemented
94#17988949C2211yescharacteristic, complemented
95#17988945C2211yescharacteristic, complemented
96#17988945C2211yescharacteristic, complemented
97#17988942C2211yescharacteristic, complemented
98#17988942C2211yescharacteristic, complemented
99#17988940C2211yescharacteristic, complemented
100#17988940C2211yescharacteristic, complemented
101#17988932C2211yescharacteristic, complemented
102#17988932C2211yescharacteristic, complemented
103#17988931C2211yescharacteristic, complemented
104#17988930C2211yescharacteristic, complemented
105#17988929C2211yescharacteristic, complemented
106#17988929C2211yescharacteristic, complemented
107#17988928C2211yescharacteristic, complemented
108#17988928C2211yescharacteristic, complemented
109#17988924C2211yescharacteristic, complemented
110#17988919C2211yescharacteristic, complemented
111#17988914C2211yescharacteristic
112#17988913C2211yescharacteristic
113#17988912C2211yescharacteristic
114#17988912C2211yescharacteristic
115#17988911C2211yescharacteristic
116#17988911C2211yescharacteristic
117#17988910C2211yescharacteristic
118#17988910C2211yescharacteristic, complemented
119#17988909C2211yescharacteristic
120#17988909C2211yescharacteristic, complemented
121#17988908C2211yescharacteristic
122#17988908C2211yescharacteristic
123#17988908C2211yescharacteristic, complemented
124#17988908C2211yescharacteristic, complemented
125#17988907C2211yescharacteristic
126#17988904C2211yescharacteristic
127#17988904C2211yescharacteristic, complemented
128#17988902C2211yescharacteristic
129#17988899C2211yescharacteristic
130#17988899C2211yescharacteristic, complemented
131#17988897C2211yescharacteristic, complemented
132#17988893C2211yescharacteristic, complemented
133#17988891C2211yescharacteristic, complemented
134#17988891C2211yescharacteristic, complemented
135#17988890C2211yescharacteristic, complemented
136#17988889C2211yescharacteristic, complemented
137#17988889C2211yescharacteristic, complemented
138#17988886C2211yescharacteristic, complemented
139#17988885C2211yescharacteristic, complemented
140#17988885C2211yescharacteristic, complemented
141#17988884C2211yescharacteristic, complemented
142#17988884C2211yescharacteristic, complemented
143#17988883C2211yescharacteristic, complemented
144#17988881C2211yescharacteristic, complemented
145#17988878C2211yescharacteristic, complemented
146#17988877C2211yescharacteristic, complemented
147#17988877C2211yescharacteristic, complemented
148#17988876C2211yescharacteristic, complemented
149#17988875C2211yescharacteristic, complemented
150#17988875C2211yescharacteristic, complemented
151#17988873C2211yescharacteristic, complemented
152#17988871C2211yescharacteristic, complemented
153#17988868C2211yescharacteristic, complemented
154#17988867C2211yescharacteristic, complemented
155#17988867C2211yescharacteristic, complemented
156#17988866C2211yescharacteristic, complemented
157#17988865C2211yescharacteristic, complemented
158#17988865C2211yescharacteristic, complemented
159#17988647C2211yescharacteristic, complemented
160#17988647C2211yescharacteristic, complemented
161#17988646C2211yescharacteristic, complemented
162#17988646C2211yescharacteristic, complemented
163#17988644C2211yescharacteristic, complemented
164#17988641C2211yescharacteristic, complemented
165#17988637C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988622C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988612C2211yescharacteristic
175#17988612C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988585C2211yescharacteristic
179#17988585C2211yescharacteristic
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988549C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186#17988541C2211yescharacteristic
187#17988541C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189#532×C73C2211yescharacteristic
190#500×C73C2211yescharacteristic, complemented
191#498×C73C2211yescharacteristic, complemented
192#486×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic
195#482×C73C2211yescharacteristic
196#482×C73C2211yescharacteristic, complemented
197#482×C73C2211yescharacteristic, complemented
198#478×C73C2211yescharacteristic, complemented
199#478×C73C2211yescharacteristic, complemented
200#478×C73C2211yescharacteristic, complemented
201#478×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×#11924027C2311yescharacteristic
205C2×D4×D73—21no—
206C2×D4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C2×#11924011C2311yescharacteristic
209C2×#11924011C2311yescharacteristic
210C2×C8×D73C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212#14556591C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556590—21no—
215#14556590—21no—
216#14556590—21no—
217#14556590—21no—
218#14556590C2311yescharacteristic
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556589—21no—
224#14556589—21no—
225#14556589—21no—
226#14556589—21no—
227#14556589—21no—
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556585—21no—
231#14556584—21no—
232#14556584—21no—
233#14556583C2311yescharacteristic
234#14556583C2311yescharacteristic
235#14556583C2311yescharacteristic
236#14556582C2311yescharacteristic
237#14556582C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556581—21no—
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#14556579C2311yescharacteristic
252#14556578C2311yescharacteristic
253#14556577—21no—
254#14556577—21no—
255#14556576—21no—
256#14556574—21no—
257#14556574—21no—
258#14556574—21no—
259#14556573—21no—
260#14556573—21no—
261#14556572—21no—
262#14556572—21no—
263#14556572—21no—
264#14556571—21no—
265#14556571—21no—
266#14556571—21no—
267#14556571—21no—
268#14556571C2311yescharacteristic
269#14556570—21no—
270#14556570—21no—
271#14556570—21no—
272#14556570C2311yescharacteristic
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—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#14556566C2311yescharacteristic
293#14556565—21no—
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556559—21no—
306#14556559—21no—
307#14556559—21no—
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146—21no—
311C4×Dic146—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146C2311yescharacteristic
315#14556556C2311yescharacteristic
316C4×D292C2311yescharacteristic
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321#14556553C2311yescharacteristic
322C4×C22⋊D73—21no—
323C4×C22⋊D73—21no—
324C4×C22⋊D73—21no—
325#14556551—21no—
326#14556551—21no—
327#14556551—21no—
328#14556551—21no—
329#14556550C2311yescharacteristic
330#14556550C2311yescharacteristic
331#14556549C2311yescharacteristic
332#14556549C2311yescharacteristic
333#14556549C2311yescharacteristic
334#14556549C2311yescharacteristic
335#14556549C2311yescharacteristic
336#14556548—21no—
337#14556548—21no—
338#14556548—21no—
339#14556548D411yescharacteristic
340#14556548D411yescharacteristic
341#14556548D411yescharacteristic
342#14556548D411yescharacteristic
343#14556548C2311yescharacteristic
344#14556548C2311yescharacteristic
345#14556548C2311yescharacteristic
346#14556548C2311yescharacteristic
347#14556547—21no—
348#14556547—21no—
349#14556547—21no—
350#14556547—21no—
351C2×#11924007—21no—
352C2×#11924007D411yescharacteristic
353C2×#11924007D411yescharacteristic
354C4⋊C4×D73C2311yescharacteristic
355C4⋊C4×D73C2311yescharacteristic
356C4⋊C4×D73C2311yescharacteristic
357C4⋊C4×D73C2311yescharacteristic
358C4⋊C4×D73C2311yescharacteristic
359C2×#11924005—21no—
360C2×#11924005D411yescharacteristic
361C2×#11924005D411yescharacteristic
362C22⋊C4×D73—21no—
363C22⋊C4×D73—21no—
364C22⋊C4×D73—21no—
365C22⋊C4×D73—21no—
366C2×C4×Dic73C2311yescharacteristic
367C42×D73—21no—
368C42×D73—21no—
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
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#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
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#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#127×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#124×C73—21no—
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445#121×C73—21no—
446#121×C73C2311yescharacteristic
447#121×C73C2311yescharacteristic
448C4×Q8×C73—21no—
449C4×Q8×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C42×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73C2×D411yescharacteristic
480#11924027—22no—
481#11924027—22no—
482#11924027—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2411yescharacteristic
491C2×D292—21no—
492C2×D292C2411yescharacteristic
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500D4×D73—22no—
501D4×D73—22no—
502D4×D73—82no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73C2×D411yescharacteristic
507C22×Dic73C2×D411yescharacteristic
508C22×Dic73C2×D411yescharacteristic
509C2×C4×D73—22no—
510C2×C4×D73—22no—
511C2×C4×D73—21no—
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×D73C2×D411yescharacteristic
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522#11924011—22no—
523#11924011—22no—
524C2×#10596831C2411yescharacteristic
525C2×#10596831C2411yescharacteristic
526C2×#10596831C2411yescharacteristic
527C2×#10596831C2411yescharacteristic
528C8×D73—22no—
529C8×D73—22no—
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⋊Dic73C2411yescharacteristic
539C4⋊Dic73C2411yescharacteristic
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544#11924007—21no—
545#11924007—21no—
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
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—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
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2411yescharacteristic
617C4×Dic73C2411yescharacteristic
618#41×C73—82no—
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×Q8×C73—21no—
622C2×D4×C73—21no—
623C2×D4×C73—21no—
624C2×D4×C73—21no—
625C2×D4×C73—21no—
626C2×D4×C73C2411yescharacteristic
627C2×D4×C73C2411yescharacteristic
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73C2×D411yescharacteristic
631C22×C4×C73C2×D411yescharacteristic
632C22×C4×C73C2411yescharacteristic
633C2×C8×C73C2411yescharacteristic
634C2×C8×C73C2411yescharacteristic
635C2×C8×C73C2411yescharacteristic
636C2×C8×C73C2411yescharacteristic
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
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—
656C42×C73—21no—
657C42×C73—21no—
658C42×C73C2×D411yescharacteristic
659C42×C73C2×D411yescharacteristic
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—21no—
663C23×C73—21no—
664C23×C73C22×D411yescharacteristic
665C22×D73—22no—
666C22×D73—21no—
667C22×D73—41no—
668C22×D73—41no—
669C22×D73—42no—
670C22×D73—81no—
671C22×D73—81no—
672C22×D73C22×D411yescharacteristic
673C22×D73C22×D411yescharacteristic
674Q8×C73—81no—
675Q8×C73—81no—
676Q8×C73—81no—
677D4×C73—21no—
678D4×C73—21no—
679D4×C73—21no—
680D4×C73—21no—
681D4×C73—42no—
682D4×C73—42no—
683D4×C73—81no—
684D4×C73—81no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—41no—
694C2×C4×C73—41no—
695C2×C4×C73—81no—
696C2×C4×C73—81no—
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C22×D411yescharacteristic
701C2×C4×C73C22×D411yescharacteristic
702C2×C4×C73C2511yescharacteristic
703C22⋊D73—42no—
704C22⋊D73—42no—
705C22⋊D73—42no—
706C22⋊D73—81no—
707C22⋊D73—81no—
708C22⋊D73—81no—
709C22⋊D73—81no—
710C2×Dic73—22no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—41no—
719C2×Dic73—41no—
720C2×Dic73—42no—
721C2×Dic73—81no—
722C2×Dic73—81no—
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729D292—21no—
730D292—21no—
731D292—81no—
732C4×D73—22no—
733C4×D73—21no—
734C4×D73—21no—
735C4×D73—22no—
736C4×D73—81no—
737C4×D73—81no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D732−1+412yes—
744C4×D732−1+412yes—
745Dic146—21no—
746Dic146—21no—
747Dic146—81no—
748Dic146—81no—
749Dic146—81no—
750Dic146—81no—
751Dic146—81no—
752Dic146—81no—
753Dic146—81no—
754C8×C73—21no—
755C8×C73—21no—
756C8×C73—21no—
757C8×C73—21no—
758#10596831—21no—
759#10596831—21no—
760#10596831—21no—
761#10596831—21no—
762C22×C73—21no—
763C22×C73—21no—
764C22×C73—21no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73C23×D411yescharacteristic
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—21no—
775C2×D73—21no—
776C2×D73—21no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
780C2×D73—82no—
781C2×D73—162no—
782C2×D73#53612yes—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—21no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73C2×2−1+411yescharacteristic
795C4×C73C2×2−1+411yescharacteristic
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—21no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73—41no—
808Dic73#53612yes—
809#60875—731nomaximal, Sylow
810C2×C73—41no—
811C2×C73—81no—
812C2×C73—81no—
813C2×C73C2×#53611yescharacteristic
814C2×C73#358411yescharacteristic
815C2×C73#358511yescharacteristic
816D73—22no—
817D73—41no—
818D73—81no—
819#3494—731no—
820#3458—731no—
821#3244—731no—
822#3244—731no—
823#3243—731no—
824#3243—731no—
825#3241—731no—
826#3241—731no—
827#3241—731no—
828#3241—731no—
829#3240—731no—
830#3240—731no—
831#3235—731no—
832#3235—731no—
833#3233—731no—
834#3233—731no—
835#3228—731no—
836#3228D7311yescharacteristic, complemented
837#3164—731no—
838#3163—731no—
839#3136—731no—
840#3136—731no—
841#3094—731no—
842#3093—731no—
843#3091—731no—
844C2×#482—731no—
845#3084—731no—
846#3083—731no—
847#3081—731no—
848#3081—731no—
849#2924—731no—
850C73#6087511yescharacteristic, complemented, Sylow
851#555—1461no—
852#553—1461no—
853#553—1461no—
854#551—1461no—
855#551—1461no—
856#547—1461no—
857#546—1461no—
858#546—1461no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544—731no—
864#544—731no—
865#544—731no—
866#544—731no—
867#544—731no—
868#544—1461no—
869#544—1461no—
870#543—1461no—
871#543—1461no—
872#542—731no—
873#542—731no—
874#540—731no—
875#540—731no—
876#535—731no—
877#533—731no—
878#533—731no—
879#533—731no—
880#533—1461no—
881#533—1461no—
882#533—1461no—
883#533—1461no—
884#533C2×D7311yescharacteristic, complemented
885#532—731no—
886#532C2×D7311yescharacteristic
887#529—731no—
888#529—731no—
889#525—731no—
890C2×#121—731no—
891#520—731no—
892#518—731no—
893C2×#117—731no—
894C2×#117—731no—
895C2×#117—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501—731no—
902#501—731no—
903#501—731no—
904#500—731no—
905#500C2×D7311yescharacteristic, complemented
906#499—731no—
907#499—731no—
908#499—731no—
909#499—731no—
910#498—731no—
911#498C2×D7311yescharacteristic, complemented
912#490—731no—
913#490—731no—
914#490—731no—
915#490—731no—
916#489—731no—
917#489—731no—
918#489—731no—
919#489—731no—
920#488—731no—
921#488—731no—
922#488—731no—
923#488—731no—
924#486—731no—
925#486—731no—
926#486C2×D7311yescharacteristic, complemented
927#486C2×D7311yescharacteristic, complemented
928#485—731no—
929#485—731no—
930#485—731no—
931#485—731no—
932#485—731no—
933#485—731no—
934#484—731no—
935#483—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482—731no—
943#482—731no—
944#482—731no—
945#482—731no—
946#482—731no—
947#482—731no—
948#482—731no—
949#482—731no—
950#482C2×D7311yescharacteristic
951#482C2×D7311yescharacteristic
952#482C2×D7311yescharacteristic, complemented
953#482C2×D7311yescharacteristic, complemented
954#481—731no—
955#481—731no—
956#481—731no—
957#480—731no—
958#480—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478—731no—
971#478—731no—
972#478C2×D7311yescharacteristic, complemented
973#478C2×D7311yescharacteristic, complemented
974#478C2×D7311yescharacteristic, complemented
975#478C2×D7311yescharacteristic, complemented
976#477—731no—
977#477—731no—
978#476—731no—
979#476—731no—
980#476—731no—
981#476—731no—
982#476—731no—
983#476—731no—
984#475—731no—
985#475—731no—
986#474—731no—
987#474—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#474—731no—
992#433—731no—
993#433—731no—
994#433—731no—
995#433—731no—
996#432—731no—
997#432—731no—
998#431—731no—
999#431C2×D7311yescharacteristic, complemented
1000#428—731no—
1001#428—731no—
1002#428—731no—
1003#428—731no—
1004#427—731no—
1005#427—731no—
1006C2×#107—731no—
1007C2×#106—731no—
1008#424—731no—
1009#424—731no—
1010#418—731no—
1011#418—731no—
1012#417—731no—
1013#417—731no—
1014#416—731no—
1015#416—731no—
1016C2×#102—731no—
1017C2×#102—731no—
1018#407—731no—
1019C2×C22⋊C8—731no—
1020#405—731no—
1021#405—731no—
1022C2×#41—21no—
1023C2×#41—731no—
1024C2×#41—1461no—
1025C22×D4—731no—
1026C22×D4—1461no—
1027C23×C4—731no—
1028C2×M16—731no—
1029C2×M16—731no—
1030C22×C8—731no—
1031C22×C8—731no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—731no—
1038C4⋊Q8—731no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8—1461no—
1044C4⋊Q8—1461no—
1045C4⋊Q8—1461no—
1046C4⋊Q8—1461no—
1047C4⋊Q8—1461no—
1048C4⋊Q8C22×D7311yescharacteristic
1049C4⋊Q8C22×D7311yescharacteristic
1050C4⋊Q8C22×D7311yescharacteristic
1051#127—731no—
1052#127C22×D7311yescharacteristic
1053#126—1461no—
1054#126—1461no—
1055#126—1461no—
1056#126—1461no—
1057#125—731no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—731no—
1063#125—731no—
1064#125—731no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125—1461no—
1071#125—1461no—
1072#125—1461no—
1073#125—1461no—
1074#125C22×D7311yescharacteristic
1075#125C22×D7311yescharacteristic
1076#124—21no—
1077#124—731no—
1078#124—731no—
1079#124—1461no—
1080#124—1461no—
1081#124—1461no—
1082#123—1461no—
1083#123—1461no—
1084#123—1461no—
1085#123—1461no—
1086#123—1461no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—731no—
1094C22⋊Q8—731no—
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⋊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⋊Q8—1461no—
1121#121—21no—
1122#121—731no—
1123#121—731no—
1124#121—731no—
1125#121—731no—
1126#121—1461no—
1127#121—1461no—
1128#121—1461no—
1129#121—1461no—
1130#121—1461no—
1131#121—1461no—
1132#121—1461no—
1133#121—1461no—
1134#121—1461no—
1135#121C22×D7311yescharacteristic
1136#121C22×D7311yescharacteristic
1137#120—1461no—
1138#120—1461no—
1139#120—1461no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8—731no—
1143C4×Q8—731no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
1150C4×D4—21no—
1151C4×D4—731no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
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×D4C22×D7311yescharacteristic
1165C4×D4C22×D7311yescharacteristic
1166#117—731no—
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—731no—
1177#117—731no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—1461no—
1182#117—1461no—
1183#117—1461no—
1184#117—1461no—
1185#117—1461no—
1186#117—1461no—
1187#117—1461no—
1188#117C22×D7311yescharacteristic
1189#117C22×D7311yescharacteristic
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—1461no—
1198C2×C22⋊C4—731no—
1199C2×C22⋊C4—731no—
1200C2×C22⋊C4—1461no—
1201C2×C22⋊C4—1461no—
1202C2×C22⋊C4—1461no—
1203C2×C22⋊C4—1461no—
1204C2×C22⋊C4—1461no—
1205C2×C42—731no—
1206C2×C42—1461no—
1207C2×C42—1461no—
1208C2×C42C22×D7311yescharacteristic
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107—731no—
1216#107—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107C22×D7311yescharacteristic
1222#107C22×D7311yescharacteristic
1223#107C22×D7311yescharacteristic
1224#107C22×D7311yescharacteristic
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106C22×D7311yescharacteristic
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240#106C22×D7311yescharacteristic
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8C22×D7311yescharacteristic
1248C4⋊C8C22×D7311yescharacteristic
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#103—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#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102—731no—
1273#102C22×D7311yescharacteristic
1274#102C22×D7311yescharacteristic
1275#102C22×D7311yescharacteristic
1276#102C22×D7311yescharacteristic
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280#102C22×D7311yescharacteristic
1281C22⋊C8—731no—
1282C22⋊C8—731no—
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8—731no—
1287C22⋊C8C22×D7311yescharacteristic
1288C22⋊C8C22×D7311yescharacteristic
1289#97—731no—
1290#97—731no—
1291#97—731no—
1292#97—731no—
1293C4×C8—731no—
1294C4×C8—731no—
1295C4×C8C22×D7311yescharacteristic
1296C4×C8C22×D7311yescharacteristic
1297C24—731no—
1298C24—1461no—
1299#41—82no—
1300#41—5842no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—731no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8—1461no—
1313C2×Q8—1461no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—5842no—
1319C2×D4—731no—
1320C2×D4—1461no—
1321C2×D4—1462no—
1322C2×D4—1462no—
1323C2×D4—1461no—
1324C2×D4—1461no—
1325C2×D4—1461no—
1326C2×D4—1461no—
1327C2×D4—1461no—
1328C2×D4—1461no—
1329C2×D4—1461no—
1330C2×D4C23×D7311yescharacteristic
1331C2×D4C23×D7311yescharacteristic
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—731no—
1335C22×C4—731no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1462no—
1348C22×C4—1462no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4D4×D7311yescharacteristic
1354C22×C4D4×D7311yescharacteristic
1355C22×C4C23×D7311yescharacteristic
1356M16—1462no—
1357M16—1462no—
1358C2×C8—731no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—1462no—
1363C2×C8—1462no—
1364C2×C8C23×D7311yescharacteristic
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—731no—
1376C4⋊C4—731no—
1377C4⋊C4—731no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
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⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4C23×D7311yescharacteristic
1422C4⋊C4C23×D7311yescharacteristic
1423C4⋊C4C23×D7311yescharacteristic
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—731no—
1434C22⋊C4—731no—
1435C22⋊C4—731no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—731no—
1441C22⋊C4—1461no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
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⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C42—21no—
1463C42—21no—
1464C42—731no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—1461no—
1469C42—1461no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42—1461no—
1477C42D4×D7311yescharacteristic
1478C42D4×D7311yescharacteristic
1479C42C23×D7311yescharacteristic
1480C42C23×D7311yescharacteristic
1481C23—21no—
1482C23—21no—
1483C23—2921no—
1484C23—2921no—
1485C23—2922no—
1486C23—5841no—
1487C23—5841no—
1488C23—731no—
1489C23—731no—
1490C23—1462no—
1491C23—1461no—
1492C23C2×D4×D7311yescharacteristic
1493Q8—81no—
1494Q8—81no—
1495Q8—81no—
1496Q8—5841no—
1497Q8—5841no—
1498Q8—5841no—
1499Q8—5841no—
1500Q8—5841no—
1501Q8—5841no—
1502Q8—5841no—
1503Q8—1461no—
1504Q8—1461no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—42no—
1510D4—42no—
1511D4—81no—
1512D4—81no—
1513D4—2922no—
1514D4—2922no—
1515D4—2922no—
1516D4—5841no—
1517D4—5841no—
1518D4—5841no—
1519D4—5841no—
1520D4—5841no—
1521D4—1461no—
1522D4—1461no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—81no—
1534C2×C4—81no—
1535C2×C4—2922no—
1536C2×C4—2921no—
1537C2×C4—2921no—
1538C2×C4—5841no—
1539C2×C4—5841no—
1540C2×C4—5841no—
1541C2×C4—5841no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—731no—
1548C2×C4—732no—
1549C2×C4—732no—
1550C2×C4—731no—
1551C2×C4—731no—
1552C2×C4—731no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—1462no—
1556C2×C4—1462no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1462no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C2×D4×D7311yescharacteristic
1572C2×C4C24×D7311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C8—1461no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—2921no—
1591C22—2921no—
1592C22—2921no—
1593C22—5842no—
1594C22—732no—
1595C22—11682no—
1596C22—1461no—
1597C22—1461no—
1598C22—1461no—
1599C22—1461no—
1600C22—1461no—
1601C22C22×D4×D7311yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—2921no—
1619C4—2921no—
1620C4—732no—
1621C4—1461no—
1622C4—1461no—
1623C4—1461no—
1624C4—1461no—
1625C4—1461no—
1626C42−1+4×D7311yescharacteristic
1627C42−1+4×D7311yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—81no—
1631C2—2921no—
1632C2—5841no—
1633C2—1462no—
1634C2#536×D7311yescharacteristic
1635C2#2262470011yescharacteristic
1636C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3228C2
socleC22×C73C23×D4
prime radical#22623661C2
hypercenter#3228D73
hypocenterC73#60875
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3228

Complements

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

NH ≅ G/Ntype
2. #22623334C2semidirect
3. #22621232C2semidirect
4. #22621228C2semidirect
5. #22621217C2semidirect
6. #22621213C2semidirect
7. #22621189C2semidirect
8. #22621181C2semidirect
9. #22621177C2semidirect
10. #22621177C2semidirect
11. #22621171C2semidirect
12. #22621169C2semidirect
13. #22621126C2semidirect
14. #22621125C2semidirect
15. #22621112C2semidirect
16. #22621107C2semidirect
17. #22621065C2semidirect
18. #22620464C2semidirect
19. #22620456C2semidirect
20. #22620280C2semidirect
21. #22620280C2semidirect
22. #22619870C2semidirect
23. #22619859C2semidirect
24. #22619843C2semidirect
25. #482×D73C2semidirect
26. #22619794C2semidirect
27. #22619783C2semidirect
28. #22619761C2semidirect
29. #22619759C2semidirect
30. #22618584C2semidirect
31. C73×#3228C2semidirect
42. #17989217C22semidirect
43. #17989217C22semidirect
49. #17989214C22semidirect
50. #17989214C22semidirect
58. #17989144C22semidirect
63. #17989140C22semidirect
64. #17989140C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988993C22semidirect
81. #17988993C22semidirect
82. #17988993C22semidirect
83. #17988991C22semidirect
84. #17988989C22semidirect
85. #17988989C22semidirect
86. #17988988C22semidirect
87. #17988987C22semidirect
88. #17988984C22semidirect
89. #17988951C22semidirect
90. #17988951C22semidirect
91. #17988950C22semidirect
92. #17988950C22semidirect
93. #17988949C22semidirect
94. #17988949C22semidirect
95. #17988945C22semidirect
96. #17988945C22semidirect
97. #17988942C22semidirect
98. #17988942C22semidirect
99. #17988940C22semidirect
100. #17988940C22semidirect
101. #17988932C22semidirect
102. #17988932C22semidirect
103. #17988931C22semidirect
104. #17988930C22semidirect
105. #17988929C22semidirect
106. #17988929C22semidirect
107. #17988928C22semidirect
108. #17988928C22semidirect
109. #17988924C22semidirect
110. #17988919C22semidirect
118. #17988910C22semidirect
120. #17988909C22semidirect
123. #17988908C22semidirect
124. #17988908C22semidirect
127. #17988904C22semidirect
130. #17988899C22semidirect
131. #17988897C22semidirect
132. #17988893C22semidirect
133. #17988891C22semidirect
134. #17988891C22semidirect
135. #17988890C22semidirect
136. #17988889C22semidirect
137. #17988889C22semidirect
138. #17988886C22semidirect
139. #17988885C22semidirect
140. #17988885C22semidirect
141. #17988884C22semidirect
142. #17988884C22semidirect
143. #17988883C22semidirect
144. #17988881C22semidirect
145. #17988878C22semidirect
146. #17988877C22semidirect
147. #17988877C22semidirect
148. #17988876C22semidirect
149. #17988875C22semidirect
150. #17988875C22semidirect
151. #17988873C22semidirect
152. #17988871C22semidirect
153. #17988868C22semidirect
154. #17988867C22semidirect
155. #17988867C22semidirect
156. #17988866C22semidirect
157. #17988865C22semidirect
158. #17988865C22semidirect
159. #17988647C22semidirect
160. #17988647C22semidirect
161. #17988646C22semidirect
162. #17988646C22semidirect
163. #17988644C22semidirect
164. #17988641C22semidirect
165. #17988637C22semidirect
188. #533×C73C22semidirect
190. #500×C73C22semidirect
191. #498×C73C22semidirect
192. #486×C73C22semidirect
193. #486×C73C22semidirect
196. #482×C73C22semidirect
197. #482×C73C22semidirect
198. #478×C73C22semidirect
199. #478×C73C22semidirect
200. #478×C73C22semidirect
201. #478×C73C22semidirect
202. #431×C73C22semidirect
836. #3228D73semidirect
850. C73#60875semidirect
884. #533C2×D73semidirect
905. #500C2×D73semidirect
911. #498C2×D73semidirect
926. #486C2×D73semidirect
927. #486C2×D73semidirect
952. #482C2×D73semidirect
953. #482C2×D73semidirect
972. #478C2×D73semidirect
973. #478C2×D73semidirect
974. #478C2×D73semidirect
975. #478C2×D73semidirect
999. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236612
#226233342
#226212322
#226212282
#226212172
#226212132
#226211892
#226211812
#226211772
#226211712
#226211692
#226211262
#226211252
#226211122
#226211072
#226210652
#226204642
#226204562
#226202802
#226198702
#226198592
#226198432
#482×D732
#226197942
#226197832
#226197612
#226197592
#226185842
C73×#32282
#6087573