Finite Group Databasebeta

← #33958682

Subgroups — #33958682

Order 18688.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623754C211yesmaximal, characteristic, complemented
2#22623346C211yesmaximal, characteristic
3#22621229C211yesmaximal, characteristic, complemented
4#22621226C211yesmaximal, characteristic, complemented
5#22621216C211yesmaximal, characteristic, complemented
6#22621213C211yesmaximal, characteristic, complemented
7#22621191C211yesmaximal, characteristic, complemented
8#22621181C211yesmaximal, characteristic, complemented
9#22621178C211yesmaximal, characteristic, complemented
10#22621174C211yesmaximal, characteristic, complemented
11#22621169C211yesmaximal, characteristic, complemented
12#22621120C211yesmaximal, characteristic, complemented
13#22621116C211yesmaximal, characteristic, complemented
14#22621100C211yesmaximal, characteristic, complemented
15#22621096C211yesmaximal, characteristic, complemented
16#22621065C211yesmaximal, characteristic, complemented
17#22621062C211yesmaximal, characteristic, complemented
18#22620468C211yesmaximal, characteristic, complemented
19#22620458C211yesmaximal, characteristic, complemented
20#22620286C211yesmaximal, characteristic, complemented
21#22620280C211yesmaximal, characteristic, complemented
22#22619921C211yesmaximal, characteristic, complemented
23#22619906C211yesmaximal, characteristic, complemented
24#22619886C211yesmaximal, characteristic, complemented
25#22619882C211yesmaximal, characteristic, complemented
26#22619748C211yesmaximal, characteristic, complemented
27#22619729C211yesmaximal, characteristic, complemented
28#22619712C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3241C211yesmaximal, characteristic, complemented
32#17989314—21no—
33#17989312—21no—
34#17989298—21no—
35#17989295—21no—
36#17989295—21no—
37#17989293—21no—
38#17989291—21no—
39#17989291—21no—
40#17989217C2211yescharacteristic
41#17989217C2211yescharacteristic
42#17989217C2211yescharacteristic, complemented
43#17989215C2211yescharacteristic, complemented
44#17989214C2211yescharacteristic
45#17989214C2211yescharacteristic, complemented
46#17989208C2211yescharacteristic
47#17989205—21no—
48#17989202C2211yescharacteristic
49#17989188C2211yescharacteristic
50#17989187—21no—
51#17989173—21no—
52#17989169—21no—
53#17989166C2211yescharacteristic
54#17989153C2211yescharacteristic
55#17989150C2211yescharacteristic
56#17989142C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989140C2211yescharacteristic, complemented
59#17989135C2211yescharacteristic
60#17989132—21no—
61#17989132C2211yescharacteristic
62#17989122C2211yescharacteristic
63#17989118C2211yescharacteristic
64#17989114—21no—
65C2×#14556582C2211yescharacteristic, complemented
66#125×D73C2211yescharacteristic
67#125×D73C2211yescharacteristic, complemented
68#17989097—21no—
69#17989095—21no—
70#17989068C2211yescharacteristic
71#17989067C2211yescharacteristic
72#17989055C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C4×D4×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
90#17988950C2211yescharacteristic
91#17988950C2211yescharacteristic
92#17988949C2211yescharacteristic
93#17988947C2211yescharacteristic
94#17988945C2211yescharacteristic
95#17988945C2211yescharacteristic
96#17988944C2211yescharacteristic
97#17988942C2211yescharacteristic
98#17988940C2211yescharacteristic
99#17988940C2211yescharacteristic
100#17988933C2211yescharacteristic
101#17988932C2211yescharacteristic
102#17988932C2211yescharacteristic
103#17988931C2211yescharacteristic, complemented
104#17988931C2211yescharacteristic, complemented
105#17988929C2211yescharacteristic, complemented
106#17988928C2211yescharacteristic, complemented
107#17988924C2211yescharacteristic, complemented
108#17988923C2211yescharacteristic, complemented
109#17988919C2211yescharacteristic, complemented
110#17988917C2211yescharacteristic, complemented
111#17988914C2211yescharacteristic
112#17988914C2211yescharacteristic
113#17988912C2211yescharacteristic
114#17988911C2211yescharacteristic
115#17988909C2211yescharacteristic
116#17988909C2211yescharacteristic
117#17988909C2211yescharacteristic, complemented
118#17988909C2211yescharacteristic, complemented
119#17988908C2211yescharacteristic
120#17988908C2211yescharacteristic, complemented
121#17988907C2211yescharacteristic
122#17988905C2211yescharacteristic
123#17988904C2211yescharacteristic
124#17988904C2211yescharacteristic, complemented
125#17988903C2211yescharacteristic
126#17988902C2211yescharacteristic
127#17988901C2211yescharacteristic
128#17988899C2211yescharacteristic
129#17988899C2211yescharacteristic, complemented
130#17988898C2211yescharacteristic, complemented
131#17988897C2211yescharacteristic, complemented
132#17988895C2211yescharacteristic, complemented
133#17988893C2211yescharacteristic, complemented
134#17988893C2211yescharacteristic, complemented
135#17988893C2211yescharacteristic, complemented
136#17988891C2211yescharacteristic, complemented
137#17988890C2211yescharacteristic
138#17988889C2211yescharacteristic
139#17988889C2211yescharacteristic, complemented
140#17988888C2211yescharacteristic
141#17988887C2211yescharacteristic
142#17988887C2211yescharacteristic, complemented
143#17988886C2211yescharacteristic
144#17988886C2211yescharacteristic
145#17988886C2211yescharacteristic
146#17988885C2211yescharacteristic
147#17988885C2211yescharacteristic
148#17988885C2211yescharacteristic
149#17988885C2211yescharacteristic, complemented
150#17988885C2211yescharacteristic, complemented
151#17988885C2211yescharacteristic, complemented
152#17988884C2211yescharacteristic
153#17988883C2211yescharacteristic, complemented
154#17988877C2211yescharacteristic, complemented
155#17988874C2211yescharacteristic
156#17988869C2211yescharacteristic, complemented
157#17988868C2211yescharacteristic
158#17988867C2211yescharacteristic
159#17988648C2211yescharacteristic, complemented
160#17988647C2211yescharacteristic, complemented
161#17988647C2211yescharacteristic, complemented
162#17988642C2211yescharacteristic, complemented
163#17988641C2211yescharacteristic, complemented
164#17988638C2211yescharacteristic, complemented
165#17988637C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988626C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988624C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988609C2211yescharacteristic
175C4⋊C8×D73C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988585C2211yescharacteristic
179#17988585C2211yescharacteristic
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988541C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#499×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic
193#486×C73C2211yescharacteristic
194#482×C73C2211yescharacteristic
195#482×C73C2211yescharacteristic, complemented
196#481×C73C2211yescharacteristic, complemented
197#480×C73C2211yescharacteristic
198#478×C73C2211yescharacteristic
199#478×C73C2211yescharacteristic, complemented
200#476×C73C2211yescharacteristic
201#474×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924011C2311yescharacteristic
210C2×#11924011C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212C2×C8×D73C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556591C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556590—21no—
217#14556590—21no—
218#14556590—21no—
219#14556590—21no—
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556589—21no—
224#14556589—21no—
225#14556587—21no—
226#14556587C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556584—21no—
230#14556584—21no—
231#14556583C2311yescharacteristic
232#14556583C2311yescharacteristic
233#14556582—21no—
234#14556582—21no—
235#14556582—21no—
236#14556582C2311yescharacteristic
237#14556582C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556581—21no—
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556579C2311yescharacteristic
253#14556578—21no—
254#14556578C2311yescharacteristic
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556574—21no—
261#14556574—21no—
262#14556573—21no—
263#14556573—21no—
264#14556572—21no—
265#14556571—21no—
266#14556571—21no—
267#14556571—21no—
268#14556571—21no—
269#14556571—21no—
270#14556571C2311yescharacteristic
271#14556570—21no—
272#14556570C2311yescharacteristic
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556568—21no—
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556567—21no—
285#14556567—21no—
286#14556567—21no—
287#14556567—21no—
288#14556566C2311yescharacteristic
289#14556565—21no—
290#14556565C2311yescharacteristic
291#14556564—21no—
292#14556564—21no—
293#14556563—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556562—21no—
298#14556562—21no—
299#14556562C2311yescharacteristic
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556559—21no—
303#14556559—21no—
304#14556559—21no—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307C4×Dic146—21no—
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556D411yescharacteristic
315#14556556D411yescharacteristic
316#14556556C2311yescharacteristic
317C4×D292—21no—
318C4×D292C2311yescharacteristic
319D4×Dic73—21no—
320D4×Dic73—21no—
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323#14556553—21no—
324#14556553—21no—
325#14556553D411yescharacteristic
326#14556553D411yescharacteristic
327#14556553C2311yescharacteristic
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551D411yescharacteristic
338#14556551D411yescharacteristic
339#14556551D411yescharacteristic
340#14556551D411yescharacteristic
341#14556550C2311yescharacteristic
342#14556549—21no—
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556548C2311yescharacteristic
349#14556548C2311yescharacteristic
350#14556547—21no—
351#14556547—21no—
352C2×C4⋊Dic73—21no—
353C2×C4⋊Dic73C2311yescharacteristic
354C2×#11924007—21no—
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C22⋊C4×D73—21no—
365C2×C4×Dic73—21no—
366C2×C4×Dic73C2311yescharacteristic
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#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—
479#11924028—22no—
480#11924028—22no—
481#11924027—22no—
482#11924027—22no—
483#11924027—82no—
484#11924027—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×D292—21no—
494C2×D292C2×D411yescharacteristic
495C2×D292C2411yescharacteristic
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73C2×D411yescharacteristic
504C2×C22⋊D73C2×D411yescharacteristic
505D4×D73—22no—
506D4×D73—22no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73C2×D411yescharacteristic
512C22×Dic73C2×D411yescharacteristic
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—82no—
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527#11924011—22no—
528#11924011—22no—
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C8×D73—22no—
534C8×D73—22no—
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⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—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×Dic73C2×D411yescharacteristic
612C4×Dic73C2×D411yescharacteristic
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×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—21no—
666C22×D73—42no—
667C22×D73—81no—
668C22×D73—81no—
669C22×D73C22×D411yescharacteristic
670C22×D73C22×D411yescharacteristic
671Q8×C73—81no—
672Q8×C73—81no—
673D4×C73—21no—
674D4×C73—21no—
675D4×C73—21no—
676D4×C73—21no—
677D4×C73—81no—
678D4×C73—81no—
679D4×C73—81no—
680D4×C73—81no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—81no—
690C2×C4×C73—81no—
691C2×C4×C73—81no—
692C2×C4×C73C22×D411yescharacteristic
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C2511yescharacteristic
698C22⋊D73—22no—
699C22⋊D73—22no—
700C22⋊D73—42no—
701C22⋊D73—42no—
702C22⋊D73—81no—
703C22⋊D73—81no—
704C22⋊D73—81no—
705C22⋊D73—81no—
706C22⋊D73—81no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—41no—
715C2×Dic73—41no—
716C2×Dic73—42no—
717C2×Dic73—42no—
718C2×Dic73—42no—
719C2×Dic73—81no—
720C2×Dic73C22×D411yescharacteristic
721C2×Dic73C22×D411yescharacteristic
722C2×Dic73C22×D411yescharacteristic
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726D292—22no—
727D292—21no—
728D292—21no—
729D292—81no—
730C4×D73—21no—
731C4×D73—21no—
732C4×D73—41no—
733C4×D73—41no—
734C4×D73—41no—
735C4×D73—41no—
736C4×D73—42no—
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—22no—
746Dic146—21no—
747Dic146—21no—
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—84no—
781C2×D73#53612yes—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73C2×2−1+411yescharacteristic
794C4×C73C2×2−1+411yescharacteristic
795Dic73—21no—
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—41no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73#53612yes—
808#60890—731nomaximal, Sylow
809C2×C73—41no—
810C2×C73—81no—
811C2×C73—81no—
812C2×C73C2×#53611yescharacteristic
813C2×C73#358411yescharacteristic
814C2×C73#358511yescharacteristic
815D73—22no—
816D73—41no—
817D73—81no—
818#3504—731no—
819#3460—731no—
820#3244—731no—
821#3244—731no—
822#3243—731no—
823#3243—731no—
824#3241—731no—
825#3241—731no—
826#3241—731no—
827#3241D7311yescharacteristic, complemented
828#3240—731no—
829#3240—731no—
830#3234—731no—
831#3234—731no—
832#3232—731no—
833#3232—731no—
834#3228—731no—
835#3228—731no—
836#3164—731no—
837#3163—731no—
838#3136—731no—
839#3136—731no—
840#3099—731no—
841#3098—731no—
842#3096—731no—
843#3096—731no—
844#3080—731no—
845#3077—731no—
846#3076—731no—
847C2×#478—731no—
848#2925—731no—
849C73#6089011yescharacteristic, complemented, Sylow
850#557—1461no—
851#557—1461no—
852#554—1461no—
853#554—1461no—
854#554—1461no—
855#554—1461no—
856#554—1461no—
857#554—1461no—
858#544—731no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544—731no—
864#544C2×D7311yescharacteristic, complemented
865#542—731no—
866#542—731no—
867#542—1461no—
868#540—731no—
869#540—1461no—
870#540C2×D7311yescharacteristic
871#538—1461no—
872#538—1461no—
873#537—731no—
874#535—731no—
875#535—731no—
876#533—731no—
877#533—731no—
878#533—731no—
879#532—731no—
880#532—731no—
881#532—1461no—
882#529—731no—
883#529—731no—
884#529—1461no—
885C2×#125—731no—
886C2×#125—731no—
887C2×#125—731no—
888#525—1461no—
889#525—1461no—
890#520—731no—
891#520—731no—
892C4×#41—731no—
893C4×#41—731no—
894C2×C4×D4—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501—731no—
902#501C2×D7311yescharacteristic, complemented
903#500—731no—
904#500—731no—
905#499—731no—
906#499—731no—
907#499—731no—
908#499C2×D7311yescharacteristic, complemented
909#498—731no—
910#498—731no—
911#490—731no—
912#490—731no—
913#490—731no—
914#490C2×D7311yescharacteristic
915#489—731no—
916#489—731no—
917#489—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#488—731no—
923#486—731no—
924#486—731no—
925#486—731no—
926#486C2×D7311yescharacteristic
927#485—731no—
928#485—731no—
929#485—731no—
930#485—731no—
931#484—731no—
932#484—731no—
933#483—731no—
934#483—731no—
935#482—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#482C2×D7311yescharacteristic
946#482C2×D7311yescharacteristic, complemented
947#481—731no—
948#481—731no—
949#481—731no—
950#481—731no—
951#481—731no—
952#481C2×D7311yescharacteristic, complemented
953#480—731no—
954#480—731no—
955#480—731no—
956#480—731no—
957#480—731no—
958#480C2×D7311yescharacteristic
959#479—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#479—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#478—731no—
975#478—731no—
976#478—731no—
977#478—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478C2×D7311yescharacteristic
982#478C2×D7311yescharacteristic, complemented
983#477—731no—
984#476—731no—
985#476—731no—
986#476C2×D7311yescharacteristic
987#475—731no—
988#474—731no—
989#474—731no—
990#474C2×D7311yescharacteristic, complemented
991#433—731no—
992#433—731no—
993#433—731no—
994#433C2×D7311yescharacteristic, complemented
995#432—731no—
996#432—731no—
997#431—731no—
998#431—731no—
999#428—731no—
1000#428—731no—
1001#428—731no—
1002#428—731no—
1003#427—731no—
1004#427—731no—
1005C2×#107—731no—
1006C2×#106—731no—
1007#423—731no—
1008C2×C4⋊C8—731no—
1009#418—731no—
1010#418—731no—
1011#417—731no—
1012#417—731no—
1013#416—731no—
1014#416—731no—
1015C2×#102—731no—
1016C2×#102—731no—
1017#408—731no—
1018#408—731no—
1019#405—731no—
1020#405—731no—
1021C2×#41—731no—
1022C2×#41—731no—
1023C2×#41—1461no—
1024C2×#41—1461no—
1025C22×D4—731no—
1026C23×C4—1461no—
1027C2×M16—731no—
1028C2×M16—731no—
1029C22×C8—731no—
1030C22×C8—731no—
1031C4⋊Q8—21no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—731no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8—1461no—
1044C4⋊Q8C22×D7311yescharacteristic
1045C4⋊Q8C22×D7311yescharacteristic
1046#127—731no—
1047#127—1461no—
1048#127C22×D7311yescharacteristic
1049#126—1461no—
1050#126—1461no—
1051#126—1461no—
1052#126—1461no—
1053#125—21no—
1054#125—731no—
1055#125—731no—
1056#125—731no—
1057#125—731no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—731no—
1063#125—1461no—
1064#125—1461no—
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#125—1461no—
1075#125C22×D7311yescharacteristic
1076#125C22×D7311yescharacteristic
1077#125C22×D7311yescharacteristic
1078#124—731no—
1079#124—731no—
1080#124—1461no—
1081#124—1461no—
1082#124—1461no—
1083#124—1461no—
1084#124—1461no—
1085#123—21no—
1086#123—21no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091#123—1461no—
1092#123—1461no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—731no—
1096C22⋊Q8—731no—
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—
1118#121—21no—
1119#121—21no—
1120#121—731no—
1121#121—731no—
1122#121—731no—
1123#121—731no—
1124#121—1461no—
1125#121—1461no—
1126#121—1461no—
1127#121—1461no—
1128#121—1461no—
1129#121—1461no—
1130#121—1461no—
1131#121—1461no—
1132#121—1461no—
1133#121C22×D7311yescharacteristic
1134#121C22×D7311yescharacteristic
1135#120—1461no—
1136#120—1461no—
1137#120—1461no—
1138#120—1461no—
1139C4×Q8—731no—
1140C4×Q8—731no—
1141C4×Q8—731no—
1142C4×Q8—731no—
1143C4×Q8—1461no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
1150C4×Q8—1461no—
1151C4×D4—731no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
1155C4×D4—731no—
1156C4×D4—731no—
1157C4×D4—731no—
1158C4×D4—731no—
1159C4×D4—731no—
1160C4×D4—731no—
1161C4×D4—1461no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4—1461no—
1169C4×D4—1461no—
1170C4×D4—1461no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4—1461no—
1175C4×D4C22×D7311yescharacteristic
1176C4×D4C22×D7311yescharacteristic
1177#117—731no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—731no—
1184#117—731no—
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⋊C4—1461no—
1198C2×C4⋊C4—1461no—
1199C2×C4⋊C4—1461no—
1200C2×C4⋊C4—1461no—
1201C2×C4⋊C4—1461no—
1202C2×C4⋊C4C22×D7311yescharacteristic
1203C2×C22⋊C4—1461no—
1204C2×C42—731no—
1205C2×C42—731no—
1206C2×C42—731no—
1207C2×C42—1461no—
1208#107—731no—
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#107C22×D7311yescharacteristic
1221#107C22×D7311yescharacteristic
1222#107C22×D7311yescharacteristic
1223#107C22×D7311yescharacteristic
1224#106—731no—
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#106C22×D7311yescharacteristic
1237#106C22×D7311yescharacteristic
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240C4⋊C8—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8C22×D7311yescharacteristic
1247C4⋊C8C22×D7311yescharacteristic
1248#103—731no—
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102C22×D7311yescharacteristic
1273#102C22×D7311yescharacteristic
1274#102C22×D7311yescharacteristic
1275#102C22×D7311yescharacteristic
1276#102C22×D7311yescharacteristic
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280C22⋊C8—731no—
1281C22⋊C8—731no—
1282C22⋊C8—731no—
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8C22×D7311yescharacteristic
1287C22⋊C8C22×D7311yescharacteristic
1288#97—731no—
1289#97—731no—
1290#97—731no—
1291#97C22×D7311yescharacteristic
1292C4×C8—731no—
1293C4×C8—731no—
1294C4×C8—731no—
1295C4×C8C22×D7311yescharacteristic
1296C24—1461no—
1297#41—5842no—
1298#41—5842no—
1299#41—1462no—
1300#41—1462no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—731no—
1306C2×Q8—731no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8—1461no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—731no—
1318C2×D4—731no—
1319C2×D4—731no—
1320C2×D4—731no—
1321C2×D4—1461no—
1322C2×D4—1462no—
1323C2×D4—1462no—
1324C2×D4—1461no—
1325C2×D4—1461no—
1326C2×D4—1461no—
1327C2×D4—1461no—
1328C2×D4—1461no—
1329C2×D4—1461no—
1330C2×D4—1461no—
1331C2×D4C23×D7311yescharacteristic
1332C2×D4C23×D7311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—5842no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—731no—
1342C22×C4—731no—
1343C22×C4—731no—
1344C22×C4—731no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1461no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4—1461no—
1355C22×C4—1461no—
1356C22×C4C23×D7311yescharacteristic
1357M16—1462no—
1358M16—1462no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—1462no—
1364C2×C8—1462no—
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C2×C8C23×D7311yescharacteristic
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—21no—
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—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊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⋊C4—1461no—
1422C4⋊C4D4×D7311yescharacteristic
1423C4⋊C4D4×D7311yescharacteristic
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C4⋊C4C23×D7311yescharacteristic
1428C4⋊C4C23×D7311yescharacteristic
1429C4⋊C4C23×D7311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—731no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1460C22⋊C4D4×D7311yescharacteristic
1461C42—21no—
1462C42—731no—
1463C42—731no—
1464C42—731no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—731no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42—1461no—
1477C42—1461no—
1478C42C23×D7311yescharacteristic
1479C42C23×D7311yescharacteristic
1480C23—21no—
1481C23—21no—
1482C23—2922no—
1483C23—5841no—
1484C23—5841no—
1485C23—731no—
1486C23—731no—
1487C23—1461no—
1488C23C2×D4×D7311yescharacteristic
1489Q8—81no—
1490Q8—81no—
1491Q8—5841no—
1492Q8—5841no—
1493Q8—5841no—
1494Q8—5841no—
1495Q8—5841no—
1496Q8—5841no—
1497Q8—1462no—
1498Q8—1461no—
1499Q8—1461no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—81no—
1506D4—81no—
1507D4—81no—
1508D4—2922no—
1509D4—2922no—
1510D4—5841no—
1511D4—5841no—
1512D4—5841no—
1513D4—5841no—
1514D4—5841no—
1515D4—5841no—
1516D4—1462no—
1517D4—1462no—
1518D4—1462no—
1519D4—1461no—
1520D4—1461no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—81no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—2921no—
1533C2×C4—2921no—
1534C2×C4—2921no—
1535C2×C4—2921no—
1536C2×C4—2922no—
1537C2×C4—2922no—
1538C2×C4—2922no—
1539C2×C4—2922no—
1540C2×C4—2921no—
1541C2×C4—2921no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—5841no—
1549C2×C4—731no—
1550C2×C4—732no—
1551C2×C4—732no—
1552C2×C4—731no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—731no—
1556C2×C4—731no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4C2×D4×D7311yescharacteristic
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C24×D7311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1461no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—2921no—
1590C22—2921no—
1591C22—2921no—
1592C22—5844no—
1593C22—732no—
1594C22—1461no—
1595C22—1461no—
1596C22—1461no—
1597C22—1461no—
1598C22—1461no—
1599C22C22×D4×D7311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—2921no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—732no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C4—1461no—
1624C42−1+4×D7311yescharacteristic
1625C42−1+4×D7311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—81no—
1629C2—2921no—
1630C2—5841no—
1631C2—1462no—
1632C2#536×D7311yescharacteristic
1633C2#2262469911yescharacteristic
1634C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3241C2
socleC22×C73C23×D4
prime radical#22623346C2
hypercenter#3241D73
hypocenterC73#60890
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
1. #22623754C2semidirect
3. #22621229C2semidirect
4. #22621226C2semidirect
5. #22621216C2semidirect
6. #22621213C2semidirect
7. #22621191C2semidirect
8. #22621181C2semidirect
9. #22621178C2semidirect
10. #22621174C2semidirect
11. #22621169C2semidirect
12. #22621120C2semidirect
13. #22621116C2semidirect
14. #22621100C2semidirect
15. #22621096C2semidirect
16. #22621065C2semidirect
17. #22621062C2semidirect
18. #22620468C2semidirect
19. #22620458C2semidirect
20. #22620286C2semidirect
21. #22620280C2semidirect
22. #22619921C2semidirect
23. #22619906C2semidirect
24. #22619886C2semidirect
25. #22619882C2semidirect
26. #22619748C2semidirect
27. #22619729C2semidirect
28. #22619712C2semidirect
29. #478×D73C2semidirect
30. #22618594C2semidirect
31. C73×#3241C2semidirect
42. #17989217C22semidirect
43. #17989215C22semidirect
45. #17989214C22semidirect
57. #17989142C22semidirect
58. #17989140C22semidirect
65. C2×#14556582C22semidirect
67. #125×D73C22semidirect
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
103. #17988931C22semidirect
104. #17988931C22semidirect
105. #17988929C22semidirect
106. #17988928C22semidirect
107. #17988924C22semidirect
108. #17988923C22semidirect
109. #17988919C22semidirect
110. #17988917C22semidirect
117. #17988909C22semidirect
118. #17988909C22semidirect
120. #17988908C22semidirect
124. #17988904C22semidirect
129. #17988899C22semidirect
130. #17988898C22semidirect
131. #17988897C22semidirect
132. #17988895C22semidirect
133. #17988893C22semidirect
134. #17988893C22semidirect
135. #17988893C22semidirect
136. #17988891C22semidirect
139. #17988889C22semidirect
142. #17988887C22semidirect
149. #17988885C22semidirect
150. #17988885C22semidirect
151. #17988885C22semidirect
153. #17988883C22semidirect
154. #17988877C22semidirect
156. #17988869C22semidirect
159. #17988648C22semidirect
160. #17988647C22semidirect
161. #17988647C22semidirect
162. #17988642C22semidirect
163. #17988641C22semidirect
164. #17988638C22semidirect
165. #17988637C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #499×C73C22semidirect
195. #482×C73C22semidirect
196. #481×C73C22semidirect
199. #478×C73C22semidirect
201. #474×C73C22semidirect
202. #433×C73C22semidirect
827. #3241D73semidirect
849. C73#60890semidirect
864. #544C2×D73semidirect
902. #501C2×D73semidirect
908. #499C2×D73semidirect
946. #482C2×D73semidirect
952. #481C2×D73semidirect
982. #478C2×D73semidirect
990. #474C2×D73semidirect
994. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237542
#226233462
#226212292
#226212262
#226212162
#226212132
#226211912
#226211812
#226211782
#226211742
#226211692
#226211202
#226211162
#226211002
#226210962
#226210652
#226210622
#226204682
#226204582
#226202862
#226202802
#226199212
#226199062
#226198862
#226198822
#226197482
#226197292
#226197122
#478×D732
#226185942
C73×#32412
#6089073