Finite Group Databasebeta

← #33958435

Subgroups — #33958435

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#22623658C211yesmaximal, characteristic
2#22623335C211yesmaximal, characteristic, complemented
3#22621229C211yesmaximal, characteristic, complemented
4#22621225C211yesmaximal, characteristic, complemented
5#22621216C211yesmaximal, characteristic, complemented
6#22621212C211yesmaximal, characteristic, complemented
7#22621190C211yesmaximal, characteristic, complemented
8#22621180C211yesmaximal, characteristic, complemented
9#22621178C211yesmaximal, characteristic, complemented
10#22621172C211yesmaximal, characteristic, complemented
11#22621170C211yesmaximal, characteristic, complemented
12#22621127C211yesmaximal, characteristic, complemented
13#22621124C211yesmaximal, characteristic, complemented
14#22621111C211yesmaximal, characteristic, complemented
15#22621108C211yesmaximal, characteristic, complemented
16#22621066C211yesmaximal, characteristic, complemented
17#22621062C211yesmaximal, characteristic, complemented
18#22620468C211yesmaximal, characteristic, complemented
19#22620458C211yesmaximal, characteristic, complemented
20#22620286C211yesmaximal, characteristic, complemented
21#22620280C211yesmaximal, characteristic, complemented
22#22619868C211yesmaximal, characteristic, complemented
23#22619859C211yesmaximal, characteristic, complemented
24#22619839C211yesmaximal, characteristic, complemented
25#482×D73C211yesmaximal, characteristic, complemented
26#22619788C211yesmaximal, characteristic, complemented
27#22619783C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619755C211yesmaximal, characteristic, complemented
30#22618587C211yesmaximal, characteristic, complemented
31C73×#3241C211yesmaximal, characteristic, complemented
32#17989301—21no—
33#17989282—21no—
34#17989280—21no—
35#17989265—21no—
36#17989260—21no—
37#17989235—21no—
38#17989234—21no—
39#17989226—21no—
40#17989218C2211yescharacteristic, complemented
41#17989217—21no—
42#17989217C2211yescharacteristic
43#17989217C2211yescharacteristic
44#17989217C2211yescharacteristic
45#17989215C2211yescharacteristic, complemented
46#17989215C2211yescharacteristic, complemented
47#17989214—21no—
48#17989214C2211yescharacteristic
49#17989214C2211yescharacteristic
50#17989212—21no—
51#17989212—21no—
52#17989208C2211yescharacteristic
53#17989204C2211yescharacteristic
54#17989190C2211yescharacteristic
55#17989150C2211yescharacteristic
56#17989143—21no—
57#17989143C2211yescharacteristic, complemented
58#17989143C2211yescharacteristic, complemented
59#17989142—21no—
60#17989142C2211yescharacteristic, complemented
61#17989142C2211yescharacteristic, complemented
62#17989139—21no—
63#17989139—21no—
64#17989135C2211yescharacteristic
65#17989134C2211yescharacteristic
66#17989122C2211yescharacteristic
67#17989119C2211yescharacteristic
68#17989097C2211yescharacteristic
69#121×D73C2211yescharacteristic
70#17989066C2211yescharacteristic
71#17989059C2211yescharacteristic
72C2×#14556549C2211yescharacteristic
73#117×D73C2211yescharacteristic
74#117×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988997C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988994C2211yescharacteristic, complemented
81#17988994C2211yescharacteristic, complemented
82#17988992C2211yescharacteristic, complemented
83#17988991C2211yescharacteristic, complemented
84#17988988C2211yescharacteristic, complemented
85#17988988C2211yescharacteristic, complemented
86#17988986C2211yescharacteristic, complemented
87#17988984C2211yescharacteristic, complemented
88#17988983C2211yescharacteristic, complemented
89#17988951C2211yescharacteristic, complemented
90#17988950C2211yescharacteristic, complemented
91#17988950C2211yescharacteristic, complemented
92#17988949C2211yescharacteristic, complemented
93#17988947C2211yescharacteristic, complemented
94#17988945C2211yescharacteristic, complemented
95#17988945C2211yescharacteristic, complemented
96#17988944C2211yescharacteristic, complemented
97#17988942C2211yescharacteristic, complemented
98#17988940C2211yescharacteristic, complemented
99#17988940C2211yescharacteristic, complemented
100#17988933C2211yescharacteristic, complemented
101#17988932C2211yescharacteristic, complemented
102#17988932C2211yescharacteristic, complemented
103#17988931C2211yescharacteristic, complemented
104#17988930C2211yescharacteristic, complemented
105#17988930C2211yescharacteristic, complemented
106#17988930C2211yescharacteristic, complemented
107#17988929C2211yescharacteristic, complemented
108#17988928C2211yescharacteristic, complemented
109#17988923C2211yescharacteristic, complemented
110#17988917C2211yescharacteristic, complemented
111#17988914C2211yescharacteristic
112#17988913C2211yescharacteristic
113#17988913C2211yescharacteristic
114#17988913C2211yescharacteristic
115#17988912C2211yescharacteristic
116#17988911C2211yescharacteristic
117#17988910C2211yescharacteristic
118#17988910C2211yescharacteristic, complemented
119#17988909C2211yescharacteristic
120#17988909C2211yescharacteristic
121#17988909C2211yescharacteristic
122#17988909C2211yescharacteristic, complemented
123#17988909C2211yescharacteristic, complemented
124#17988909C2211yescharacteristic, complemented
125#17988908C2211yescharacteristic
126#17988908C2211yescharacteristic, complemented
127#17988905C2211yescharacteristic
128#17988903C2211yescharacteristic, complemented
129#17988901C2211yescharacteristic
130#17988898C2211yescharacteristic
131#17988897C2211yescharacteristic, complemented
132#17988897C2211yescharacteristic, complemented
133#17988895C2211yescharacteristic, complemented
134#17988891C2211yescharacteristic, complemented
135#17988890C2211yescharacteristic, complemented
136#17988890C2211yescharacteristic, complemented
137#17988888C2211yescharacteristic, complemented
138#17988887C2211yescharacteristic, complemented
139#17988887C2211yescharacteristic, complemented
140#17988885C2211yescharacteristic, complemented
141#17988885C2211yescharacteristic, complemented
142#17988885C2211yescharacteristic, complemented
143#17988885C2211yescharacteristic, complemented
144#17988884C2211yescharacteristic, complemented
145#17988883C2211yescharacteristic, complemented
146#17988881C2211yescharacteristic, complemented
147#17988877C2211yescharacteristic, complemented
148#17988876C2211yescharacteristic, complemented
149#17988875C2211yescharacteristic, complemented
150#17988875C2211yescharacteristic, complemented
151#17988874C2211yescharacteristic, complemented
152#17988871C2211yescharacteristic, complemented
153#17988869C2211yescharacteristic, complemented
154#17988868C2211yescharacteristic, complemented
155#17988867C2211yescharacteristic, complemented
156#17988866C2211yescharacteristic, complemented
157#17988865C2211yescharacteristic, complemented
158#17988865C2211yescharacteristic, complemented
159#17988648C2211yescharacteristic, complemented
160#17988645C2211yescharacteristic, complemented
161#17988645C2211yescharacteristic, complemented
162#17988643C2211yescharacteristic, complemented
163#17988642C2211yescharacteristic, complemented
164#17988639C2211yescharacteristic, complemented
165#17988638C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988626C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988624C2211yescharacteristic
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#17988544C2211yescharacteristic
187#17988541C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#499×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic
195#482×C73C2211yescharacteristic, complemented
196#481×C73C2211yescharacteristic
197#480×C73C2211yescharacteristic, complemented
198#478×C73C2211yescharacteristic, complemented
199#478×C73C2211yescharacteristic, complemented
200#476×C73C2211yescharacteristic, complemented
201#474×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C2×#11924011C2311yescharacteristic
210C2×#11924011C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212C2×C8×D73C2311yescharacteristic
213#14556591—21no—
214#14556591C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556591C2311yescharacteristic
217#14556590—21no—
218#14556590—21no—
219#14556590—21no—
220#14556590—21no—
221#14556590—21no—
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589—21no—
228#14556589—21no—
229#14556587C2311yescharacteristic
230#14556586—21no—
231#14556586—21no—
232#14556584—21no—
233#14556584—21no—
234#14556583—21no—
235#14556583C2311yescharacteristic
236#14556583C2311yescharacteristic
237#14556582—21no—
238#14556582—21no—
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556579C2311yescharacteristic
250#14556578—21no—
251#14556578—21no—
252#14556578C2311yescharacteristic
253#14556577—21no—
254#14556577—21no—
255#14556576—21no—
256#14556575—21no—
257#14556573—21no—
258#14556573—21no—
259#14556573—21no—
260#14556573—21no—
261#14556572—21no—
262#14556571—21no—
263#14556571—21no—
264#14556571—21no—
265#14556571—21no—
266#14556571—21no—
267#14556571C2311yescharacteristic
268#14556570—21no—
269#14556570—21no—
270#14556570C2311yescharacteristic
271#14556569—21no—
272#14556569—21no—
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#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#14556566C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556564—21no—
293#14556564—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556562—21no—
299#14556562—21no—
300#14556562C2311yescharacteristic
301#14556562C2311yescharacteristic
302#14556559—21no—
303#14556559—21no—
304#14556559—21no—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307C4×Dic146C2311yescharacteristic
308#14556556—21no—
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556C2311yescharacteristic
315C4×D292C2311yescharacteristic
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73C2311yescharacteristic
319D4×Dic73C2311yescharacteristic
320#14556553—21no—
321#14556553C2311yescharacteristic
322C4×C22⋊D73—21no—
323C4×C22⋊D73—21no—
324C4×C22⋊D73—21no—
325C4×C22⋊D73—21no—
326#14556551—21no—
327#14556551—21no—
328#14556551—21no—
329#14556550—21no—
330#14556550C2311yescharacteristic
331#14556550C2311yescharacteristic
332#14556549—21no—
333#14556549—21no—
334#14556549—21no—
335#14556549D411yescharacteristic
336#14556549D411yescharacteristic
337#14556549C2311yescharacteristic
338#14556549C2311yescharacteristic
339#14556549C2311yescharacteristic
340#14556549C2311yescharacteristic
341#14556549C2311yescharacteristic
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556548—21no—
345#14556548C2311yescharacteristic
346#14556548C2311yescharacteristic
347#14556547—21no—
348#14556547—21no—
349#14556547D411yescharacteristic
350#14556547D411yescharacteristic
351C2×C4⋊Dic73C2311yescharacteristic
352C2×#11924007—21no—
353C4⋊C4×D73D411yescharacteristic
354C4⋊C4×D73D411yescharacteristic
355C4⋊C4×D73C2311yescharacteristic
356C4⋊C4×D73C2311yescharacteristic
357C4⋊C4×D73C2311yescharacteristic
358C2×#11924005—21no—
359C2×#11924005—21no—
360C22⋊C4×D73—21no—
361C22⋊C4×D73—21no—
362C22⋊C4×D73—21no—
363C22⋊C4×D73D411yescharacteristic
364C22⋊C4×D73D411yescharacteristic
365C2×C4×Dic73—21no—
366C42×D73—21no—
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#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556522C2311yescharacteristic
384#14556522C2311yescharacteristic
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#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438#127×C73C2311yescharacteristic
439#125×C73—21no—
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#123×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×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
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73C2×D411yescharacteristic
480#11924028—82no—
481#11924027—22no—
482#11924027—22no—
483#11924027—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2411yescharacteristic
493C2×D292—21no—
494C2×D292C2411yescharacteristic
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502D4×D73—22no—
503D4×D73—22no—
504D4×D73—82no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73C2×D411yescharacteristic
510C2×C4×D73—22no—
511C2×C4×D73—22no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73C2×D411yescharacteristic
518C2×C4×D73C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
544C4⋊Dic73C2×D411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
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—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73C2×D411yescharacteristic
584C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
598#11924005—21no—
599#11924005C2×D411yescharacteristic
600#11924005C2×D411yescharacteristic
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
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×Dic73—21no—
612C4×Dic73—21no—
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×D4×C73—21no—
622C2×D4×C73—21no—
623C2×D4×C73—21no—
624C2×D4×C73—21no—
625C2×D4×C73C2411yescharacteristic
626C2×D4×C73C2411yescharacteristic
627C22×C4×C73—21no—
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73C2411yescharacteristic
631C2×C8×C73C2411yescharacteristic
632C2×C8×C73C2411yescharacteristic
633C2×C8×C73C2411yescharacteristic
634C2×C8×C73C2411yescharacteristic
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×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2×D411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C22⋊C4×C73—21no—
657C22⋊C4×C73C2×D411yescharacteristic
658C22⋊C4×C73C2×D411yescharacteristic
659C42×C73—21no—
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—
676D4×C73—21no—
677D4×C73—21no—
678D4×C73—21no—
679D4×C73—21no—
680D4×C73—81no—
681D4×C73—81no—
682D4×C73—81no—
683D4×C73—81no—
684C2×C4×C73—21no—
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—81no—
693C2×C4×C73—81no—
694C2×C4×C73—81no—
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C2511yescharacteristic
701C22⋊D73—42no—
702C22⋊D73—42no—
703C22⋊D73—42no—
704C22⋊D73—42no—
705C22⋊D73—81no—
706C22⋊D73—81no—
707C22⋊D73—81no—
708C2×Dic73—22no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—42no—
717C2×Dic73—81no—
718C2×Dic73—81no—
719C2×Dic73—81no—
720C2×Dic73C22×D411yescharacteristic
721C2×Dic73C22×D411yescharacteristic
722C2×Dic73C22×D411yescharacteristic
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726D292—21no—
727D292—21no—
728D292—42no—
729C4×D73—22no—
730C4×D73—21no—
731C4×D73—21no—
732C4×D73—22no—
733C4×D73—41no—
734C4×D73—41no—
735C4×D73—41no—
736C4×D73—41no—
737C4×D73—81no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D732−1+412yes—
743C4×D732−1+412yes—
744Dic146—21no—
745Dic146—21no—
746Dic146—81no—
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#3241D7311yescharacteristic, complemented
829#3240—731no—
830#3240—731no—
831#3235—731no—
832#3235—731no—
833#3233—731no—
834#3233—731no—
835#3228—731no—
836#3228—731no—
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—1461no—
868#544—1461no—
869#544C2×D7311yescharacteristic, complemented
870#543—1461no—
871#543—1461no—
872#542—731no—
873#542—731no—
874#540—731no—
875#540C2×D7311yescharacteristic
876#535—731no—
877#533—731no—
878#533—731no—
879#533—731no—
880#533—731no—
881#533—1461no—
882#533—1461no—
883#533—1461no—
884#533—1461no—
885#532—731no—
886#532—731no—
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#501C2×D7311yescharacteristic, complemented
904#500—731no—
905#500—731no—
906#499—731no—
907#499—731no—
908#499—731no—
909#499C2×D7311yescharacteristic, complemented
910#498—731no—
911#498—731no—
912#490—731no—
913#490—731no—
914#490—731no—
915#490C2×D7311yescharacteristic, complemented
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#486—731no—
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#482—731no—
951#482—731no—
952#482C2×D7311yescharacteristic
953#482C2×D7311yescharacteristic, complemented
954#481—731no—
955#481—731no—
956#481C2×D7311yescharacteristic
957#480—731no—
958#480—731no—
959#480C2×D7311yescharacteristic, complemented
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#478—731no—
973#478—731no—
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#476C2×D7311yescharacteristic, complemented
984#475—731no—
985#475—731no—
986#474—731no—
987#474—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#474C2×D7311yescharacteristic, complemented
992#433—731no—
993#433—731no—
994#433—731no—
995#433C2×D7311yescharacteristic, complemented
996#432—731no—
997#432—731no—
998#431—731no—
999#431—731no—
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—731no—
1023C2×#41—1461no—
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—21no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—731no—
1038C4⋊Q8—731no—
1039C4⋊Q8—731no—
1040C4⋊Q8—731no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8—1461no—
1044C4⋊Q8—1461no—
1045C4⋊Q8—1461no—
1046C4⋊Q8—1461no—
1047C4⋊Q8—1461no—
1048C4⋊Q8—1461no—
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—21no—
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#125C22×D7311yescharacteristic
1074#125C22×D7311yescharacteristic
1075#125C22×D7311yescharacteristic
1076#124—731no—
1077#124—731no—
1078#124—1461no—
1079#124—1461no—
1080#124—1461no—
1081#124—1461no—
1082#123—21no—
1083#123—21no—
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—21no—
1123#121—731no—
1124#121—731no—
1125#121—731no—
1126#121—731no—
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—731no—
1141C4×Q8—731no—
1142C4×Q8—1461no—
1143C4×Q8—1461no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
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×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—1461no—
1197C2×C4⋊C4C22×D7311yescharacteristic
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—731no—
1207C2×C42—1461no—
1208C2×C42—1461no—
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#97C22×D7311yescharacteristic
1293C4×C8—731no—
1294C4×C8—731no—
1295C4×C8—731no—
1296C4×C8C22×D7311yescharacteristic
1297C24—731no—
1298C24—1461no—
1299#41—5842no—
1300#41—5842no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—731no—
1306C2×Q8—1461no—
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—21no—
1335C22×C4—731no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—731no—
1342C22×C4—731no—
1343C22×C4—731no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1462no—
1349C22×C4—1462no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4—1461no—
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—21no—
1376C4⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1420C4⋊C4D4×D7311yescharacteristic
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—731no—
1433C22⋊C4—731no—
1434C22⋊C4—731no—
1435C22⋊C4—731no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
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⋊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⋊C4D4×D7311yescharacteristic
1461C22⋊C4D4×D7311yescharacteristic
1462C42—21no—
1463C42—731no—
1464C42—731no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—1461no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42—1461no—
1477C42—1461no—
1478C42—1461no—
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—5841no—
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—81no—
1510D4—81no—
1511D4—81no—
1512D4—81no—
1513D4—2922no—
1514D4—2922no—
1515D4—2922no—
1516D4—2922no—
1517D4—2922no—
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—81no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—2921no—
1535C2×C4—2921no—
1536C2×C4—2921no—
1537C2×C4—2921no—
1538C2×C4—2922no—
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#2262469911yescharacteristic
1636C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3241C2
socleC22×C73C23×D4
prime radical#22623658C2
hypercenter#3241D73
hypocenterC73#60875
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #22623335C2semidirect
3. #22621229C2semidirect
4. #22621225C2semidirect
5. #22621216C2semidirect
6. #22621212C2semidirect
7. #22621190C2semidirect
8. #22621180C2semidirect
9. #22621178C2semidirect
10. #22621172C2semidirect
11. #22621170C2semidirect
12. #22621127C2semidirect
13. #22621124C2semidirect
14. #22621111C2semidirect
15. #22621108C2semidirect
16. #22621066C2semidirect
17. #22621062C2semidirect
18. #22620468C2semidirect
19. #22620458C2semidirect
20. #22620286C2semidirect
21. #22620280C2semidirect
22. #22619868C2semidirect
23. #22619859C2semidirect
24. #22619839C2semidirect
25. #482×D73C2semidirect
26. #22619788C2semidirect
27. #22619783C2semidirect
28. #22619759C2semidirect
29. #22619755C2semidirect
30. #22618587C2semidirect
31. C73×#3241C2semidirect
40. #17989218C22semidirect
45. #17989215C22semidirect
46. #17989215C22semidirect
57. #17989143C22semidirect
58. #17989143C22semidirect
60. #17989142C22semidirect
61. #17989142C22semidirect
75. #17988997C22semidirect
76. #17988997C22semidirect
77. #17988996C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988994C22semidirect
81. #17988994C22semidirect
82. #17988992C22semidirect
83. #17988991C22semidirect
84. #17988988C22semidirect
85. #17988988C22semidirect
86. #17988986C22semidirect
87. #17988984C22semidirect
88. #17988983C22semidirect
89. #17988951C22semidirect
90. #17988950C22semidirect
91. #17988950C22semidirect
92. #17988949C22semidirect
93. #17988947C22semidirect
94. #17988945C22semidirect
95. #17988945C22semidirect
96. #17988944C22semidirect
97. #17988942C22semidirect
98. #17988940C22semidirect
99. #17988940C22semidirect
100. #17988933C22semidirect
101. #17988932C22semidirect
102. #17988932C22semidirect
103. #17988931C22semidirect
104. #17988930C22semidirect
105. #17988930C22semidirect
106. #17988930C22semidirect
107. #17988929C22semidirect
108. #17988928C22semidirect
109. #17988923C22semidirect
110. #17988917C22semidirect
118. #17988910C22semidirect
122. #17988909C22semidirect
123. #17988909C22semidirect
124. #17988909C22semidirect
126. #17988908C22semidirect
128. #17988903C22semidirect
131. #17988897C22semidirect
132. #17988897C22semidirect
133. #17988895C22semidirect
134. #17988891C22semidirect
135. #17988890C22semidirect
136. #17988890C22semidirect
137. #17988888C22semidirect
138. #17988887C22semidirect
139. #17988887C22semidirect
140. #17988885C22semidirect
141. #17988885C22semidirect
142. #17988885C22semidirect
143. #17988885C22semidirect
144. #17988884C22semidirect
145. #17988883C22semidirect
146. #17988881C22semidirect
147. #17988877C22semidirect
148. #17988876C22semidirect
149. #17988875C22semidirect
150. #17988875C22semidirect
151. #17988874C22semidirect
152. #17988871C22semidirect
153. #17988869C22semidirect
154. #17988868C22semidirect
155. #17988867C22semidirect
156. #17988866C22semidirect
157. #17988865C22semidirect
158. #17988865C22semidirect
159. #17988648C22semidirect
160. #17988645C22semidirect
161. #17988645C22semidirect
162. #17988643C22semidirect
163. #17988642C22semidirect
164. #17988639C22semidirect
165. #17988638C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #499×C73C22semidirect
192. #490×C73C22semidirect
193. #486×C73C22semidirect
195. #482×C73C22semidirect
197. #480×C73C22semidirect
198. #478×C73C22semidirect
199. #478×C73C22semidirect
200. #476×C73C22semidirect
201. #474×C73C22semidirect
202. #433×C73C22semidirect
828. #3241D73semidirect
850. C73#60875semidirect
869. #544C2×D73semidirect
903. #501C2×D73semidirect
909. #499C2×D73semidirect
915. #490C2×D73semidirect
927. #486C2×D73semidirect
953. #482C2×D73semidirect
959. #480C2×D73semidirect
974. #478C2×D73semidirect
975. #478C2×D73semidirect
983. #476C2×D73semidirect
991. #474C2×D73semidirect
995. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236582
#226233352
#226212292
#226212252
#226212162
#226212122
#226211902
#226211802
#226211782
#226211722
#226211702
#226211272
#226211242
#226211112
#226211082
#226210662
#226210622
#226204682
#226204582
#226202862
#226202802
#226198682
#226198592
#226198392
#482×D732
#226197882
#226197832
#226197592
#226197552
#226185872
C73×#32412
#6087573