Finite Group Databasebeta

← #33964755

Subgroups — #33964755

Order 18688.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623490C211yesmaximal, characteristic, complemented
2#547×D73C211yesmaximal, characteristic, complemented
3#22622521C211yesmaximal, characteristic, complemented
4#22622519C211yesmaximal, characteristic, complemented
5#22622513C211yesmaximal, characteristic, complemented
6#22622511C211yesmaximal, characteristic, complemented
7#22622408C211yesmaximal, characteristic, complemented
8#22622406C211yesmaximal, characteristic, complemented
9#22622395C211yesmaximal, characteristic, complemented
10#22622378C211yesmaximal, characteristic, complemented
11#22622373C211yesmaximal, characteristic, complemented
12#22622370C211yesmaximal, characteristic, complemented
13#22622365C211yesmaximal, characteristic, complemented
14#22622286C211yesmaximal, characteristic, complemented
15#22622284C211yesmaximal, characteristic, complemented
16#22622275C211yesmaximal, characteristic, complemented
17#22622273C211yesmaximal, characteristic, complemented
18#22620476C211yesmaximal, characteristic, complemented
19#22619870C211yesmaximal, characteristic, complemented
20#22619868C211yesmaximal, characteristic, complemented
21#22619853C211yesmaximal, characteristic, complemented
22#22619850C211yesmaximal, characteristic, complemented
23#22619743C211yesmaximal, characteristic, complemented
24#22619726C211yesmaximal, characteristic, complemented
25#22619549C211yesmaximal, characteristic, complemented
26#22619547C211yesmaximal, characteristic, complemented
27#22618742C211yesmaximal, characteristic, complemented
28#22618664C211yesmaximal, characteristic, complemented
29C2×#17988626C211yesmaximal, characteristic, complemented
30#428×D73C211yesmaximal, characteristic, complemented
31C73×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556615C2211yescharacteristic
34C22×#11924011C2211yescharacteristic
35C2×M16×D73C2211yescharacteristic
36#17989305C2211yescharacteristic, complemented
37#17989301C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989287C2211yescharacteristic, complemented
40#17989277C2211yescharacteristic, complemented
41#17989275C2211yescharacteristic, complemented
42#17989273—21no—
43#17989266—21no—
44#17989265—21no—
45#17989242C2211yescharacteristic
46#17989241C2211yescharacteristic
47#17989240C2211yescharacteristic
48#17989239—21no—
49#17989238C2211yescharacteristic
50#17989238C2211yescharacteristic
51#17989237C2211yescharacteristic
52#17989237C2211yescharacteristic
53#17989237C2211yescharacteristic, complemented
54#17989236—21no—
55#17989235—21no—
56#17989235—21no—
57#17989226—21no—
58#17989143C2211yescharacteristic
59C4⋊Q8×D73C2211yescharacteristic
60#17989120—21no—
61#17989118—21no—
62#17989114—21no—
63#17989097C2211yescharacteristic
64#17989097C2211yescharacteristic
65#123×D73—21no—
66#123×D73—21no—
67C22⋊Q8×D73—21no—
68#121×D73C2211yescharacteristic
69#121×D73C2211yescharacteristic
70C4×#11924027—21no—
71C4×#11924027C2211yescharacteristic
72C4×D4×D73C2211yescharacteristic
73C4×D4×D73C2211yescharacteristic
74C2×#14556549C2211yescharacteristic
75#117×D73C2211yescharacteristic
76C2×C4⋊C4×D73C2211yescharacteristic
77C2×C4⋊C4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988993C2211yescharacteristic, complemented
81#17988991C2211yescharacteristic, complemented
82#17988991C2211yescharacteristic, complemented
83#17988984C2211yescharacteristic, complemented
84#17988984C2211yescharacteristic, complemented
85#17988924C2211yescharacteristic, complemented
86#17988924C2211yescharacteristic, complemented
87#17988923C2211yescharacteristic, complemented
88#17988922C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988908C2211yescharacteristic, complemented
100#17988907C2211yescharacteristic, complemented
101#17988905C2211yescharacteristic, complemented
102#17988904C2211yescharacteristic, complemented
103#17988904C2211yescharacteristic, complemented
104#17988904C2211yescharacteristic, complemented
105#17988903C2211yescharacteristic, complemented
106#17988902C2211yescharacteristic, complemented
107#17988901C2211yescharacteristic, complemented
108#17988899C2211yescharacteristic, complemented
109#17988899C2211yescharacteristic, complemented
110#17988899C2211yescharacteristic, complemented
111#17988898C2211yescharacteristic, complemented
112#17988898C2211yescharacteristic, complemented
113#17988888C2211yescharacteristic, complemented
114#17988887C2211yescharacteristic, complemented
115#17988884C2211yescharacteristic, complemented
116#17988883C2211yescharacteristic, complemented
117#17988879C2211yescharacteristic, complemented
118#17988877C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988866C2211yescharacteristic, complemented
124#17988865C2211yescharacteristic, complemented
125#17988865C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic, complemented
127#17988839C2211yescharacteristic, complemented
128#17988838C2211yescharacteristic, complemented
129#17988837C2211yescharacteristic, complemented
130#17988834C2211yescharacteristic, complemented
131#17988833C2211yescharacteristic, complemented
132#17988832C2211yescharacteristic, complemented
133#17988831C2211yescharacteristic, complemented
134#17988822C2211yescharacteristic, complemented
135#17988821C2211yescharacteristic, complemented
136#17988820C2211yescharacteristic, complemented
137#17988817C2211yescharacteristic, complemented
138#17988816C2211yescharacteristic, complemented
139#17988815C2211yescharacteristic, complemented
140#17988814C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988689C2211yescharacteristic, complemented
143#17988687C2211yescharacteristic, complemented
144#17988678C2211yescharacteristic, complemented
145#17988674C2211yescharacteristic, complemented
146D8×Dic73C2211yescharacteristic, complemented
147#17988667C2211yescharacteristic, complemented
148#17988663C2211yescharacteristic, complemented
149#17988662C2211yescharacteristic, complemented
150#17988660C2211yescharacteristic, complemented
151#17988659C2211yescharacteristic, complemented
152#17988657C2211yescharacteristic, complemented
153C8×C22⋊D73C2211yescharacteristic, complemented
154#17988650C2211yescharacteristic, complemented
155#17988630C2211yescharacteristic, complemented
156#17988629C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic
158#17988628C2211yescharacteristic
159#17988628C2211yescharacteristic
160#17988627C2211yescharacteristic, complemented
161#17988626C2211yescharacteristic
162#17988626C2211yescharacteristic
163#17988626C2211yescharacteristic
164#17988626C2211yescharacteristic
165#17988626C2211yescharacteristic
166#17988626C2211yescharacteristic
167#17988626C2211yescharacteristic, complemented
168#17988626C2211yescharacteristic, complemented
169#17988626C2211yescharacteristic, complemented
170#17988626C2211yescharacteristic, complemented
171C2×#14556525C2211yescharacteristic, complemented
172C2×#14556524C2211yescharacteristic, complemented
173#107×D73C2211yescharacteristic, complemented
174#107×D73C2211yescharacteristic, complemented
175C2×#14556522C2211yescharacteristic, complemented
176#106×D73C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#17988609C2211yescharacteristic
179#17988590C2211yescharacteristic
180#17988590C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988585C2211yescharacteristic
183#17988585C2211yescharacteristic
184#17988585C2211yescharacteristic
185#17988549C2211yescharacteristic
186#17988549C2211yescharacteristic
187#17988539C2211yescharacteristic
188#553×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic, complemented
198#466×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212#41×D73—48no—
213C2×Q8×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73D411yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C22×C4×D73—21no—
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223#14556615—24no—
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C2×#11924011—24no—
229C2×#11924011C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235M16×D73—24no—
236C22×#10596831C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556591C2311yescharacteristic
240#14556590—21no—
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556589—21no—
246#14556586—21no—
247#14556585—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556583C2311yescharacteristic
252#14556582—21no—
253#14556581—21no—
254#14556581—21no—
255#14556578—21no—
256#14556577—21no—
257#14556577—21no—
258#14556576—21no—
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556575—21no—
265#14556574—21no—
266#14556574—21no—
267#14556574—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556571—21no—
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556570—21no—
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556567—21no—
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556562C2311yescharacteristic
308#14556562C2311yescharacteristic
309#14556559—21no—
310#14556559—21no—
311C4×Dic146—21no—
312C4×Dic146C2311yescharacteristic
313#14556556—21no—
314#14556556—21no—
315#14556556C2311yescharacteristic
316C4×D292C2311yescharacteristic
317C4×D292C2311yescharacteristic
318D4×Dic73—21no—
319D4×Dic73—21no—
320D4×Dic73D411yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323#14556553D411yescharacteristic
324#14556553C2311yescharacteristic
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73C2311yescharacteristic
330C4×C22⋊D73C2311yescharacteristic
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551D411yescharacteristic
336#14556551D411yescharacteristic
337#14556550C2311yescharacteristic
338#14556549—21no—
339#14556549—21no—
340#14556549—21no—
341#14556549C2311yescharacteristic
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556548—21no—
347#14556547—21no—
348#14556547—21no—
349#14556547—21no—
350#14556547—21no—
351C2×C4⋊Dic73C2311yescharacteristic
352C2×C4⋊Dic73C2311yescharacteristic
353C2×C4⋊Dic73C2311yescharacteristic
354C2×#11924007—21no—
355C2×#11924007—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73—21no—
361C4⋊C4×D73D411yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73D411yescharacteristic
377C22⋊C4×D73D411yescharacteristic
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C42×D73—21no—
381C42×D73C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C2×D8×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448#123×C73—21no—
449C22⋊Q8×C73—21no—
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73C2×D411yescharacteristic
484C23×D73C2×D411yescharacteristic
485#11924029—44no—
486#11924028—44no—
487#11924028—44no—
488#11924028—44no—
489#11924027—22no—
490#11924027—22no—
491#11924027—44no—
492#11924027—44no—
493#11924027—44no—
494#11924027—44no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2411yescharacteristic
501Q8×D73—44no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—24no—
517D4×D73—22no—
518D4×D73—22no—
519D4×D73—44no—
520D4×D73—44no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C2×C4×D73—22no—
530C2×C4×D73—22no—
531C2×C4×D73—22no—
532C2×C4×D73—22no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—44no—
545C2×C4×D73—44no—
546C2×C4×D73—44no—
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556#11924017—22no—
557#11924016—22no—
558#11924013—22no—
559#11924012—22no—
560#11924011—22no—
561#11924011—22no—
562#11924011—22no—
563#11924011—22no—
564#11924011—22no—
565#11924011#4114yescomplemented
566C2×#10596831—22no—
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C8×D73—22no—
572C8×D73—22no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73C2×D411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2411yescharacteristic
646#41×C73—44no—
647C2×Q8×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73C2×D411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73C2411yescharacteristic
661C22×C4×C73C2411yescharacteristic
662D8×C73—22no—
663M16×C73—22no—
664C2×C8×C73—22no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73C2×D411yescharacteristic
690C22⋊C4×C73C2×D411yescharacteristic
691C42×C73—21no—
692C42×C73C2411yescharacteristic
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73—22no—
698C22×D73—22no—
699C22×D73—22no—
700C22×D73—22no—
701C22×D73—21no—
702C22×D73—41no—
703C22×D73—41no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—42no—
711D4×C73—22no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—42no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C22⋊D73—22no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—81no—
749C22⋊D73AGL(1,ℤ/8)14yescomplemented
750C2×Dic73—22no—
751C2×Dic73—22no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—42no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—22no—
771D292—21no—
772D292—21no—
773D292—42no—
774D292—42no—
775C4×D73—22no—
776C4×D73—22no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—22no—
782C4×D73—22no—
783C4×D73—22no—
784C4×D73—41no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73C2×#4112yes—
797C4×D732−1+412yes—
798Dic146—21no—
799Dic146—21no—
800Dic146—42no—
801Dic146—42no—
802Dic146—42no—
803Dic146—42no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yescomplemented
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yescomplemented
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73C2×AGL(1,ℤ/8)12yes—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—44no—
834C2×D73—44no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—84no—
839C2×D73#54712yes—
840C2×D73C2×AGL(1,ℤ/8)12yes—
841C4×C73—21no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73C22×#4111yescharacteristic
852C4×C73C2×2−1+411yescharacteristic
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73#54712yes—
864Dic73C2×AGL(1,ℤ/8)12yes—
865#61252—731nomaximal, Sylow
866C2×C73—22no—
867C2×C73—41no—
868C2×C73—81no—
869C2×C73—81no—
870C2×C73C2×#54711yescharacteristic
871C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
872C2×C73#358611yescharacteristic
873D73—22no—
874D73—22no—
875D73—41no—
876D73—81no—
877#3475—731no—
878C2×#547—731no—
879#3354—731no—
880#3354—731no—
881#3353—731no—
882#3353—731no—
883#3345—731no—
884#3345—731no—
885#3345—731no—
886#3345D7311yescharacteristic, complemented
887#3343—731no—
888#3343—731no—
889#3343—731no—
890#3343—731no—
891#3335—731no—
892#3335—731no—
893#3334—731no—
894#3334—731no—
895#3165—731no—
896#3094—731no—
897#3094—731no—
898#3092—731no—
899#3092—731no—
900#3079—731no—
901#3077—731no—
902#3055—731no—
903#3055—731no—
904C4×AGL(1,ℤ/8)—731no—
905D4×M16—731no—
906C2×#428—731no—
907C2×#428—731no—
908C73#6125211yescharacteristic, complemented, Sylow
909C22×#41—1461no—
910C2×AGL(1,ℤ/8)—731no—
911C22×M16—731no—
912C22×M16—731no—
913#556—731no—
914#555—731no—
915#554—731no—
916#553—731no—
917#553C2×D7311yescharacteristic, complemented
918#552—731no—
919#552—731no—
920#552—1461no—
921#551—1461no—
922#551—1461no—
923#547—731no—
924#547—731no—
925#547—731no—
926#547—731no—
927#547—731no—
928#547—731no—
929#547—731no—
930#547—731no—
931#547—1461no—
932#547—1461no—
933#547—1461no—
934#547—1461no—
935#547C2×D7311yescharacteristic
936#546—1461no—
937#533—731no—
938C2×C4⋊Q8—731no—
939#529—1461no—
940#529—1461no—
941#529—1461no—
942#525—731no—
943#525—731no—
944C2×#123—1461no—
945C2×#123—1461no—
946C2×C22⋊Q8—1461no—
947C2×#121—731no—
948C2×#121—731no—
949C4×#41—731no—
950C4×#41—1461no—
951C2×C4×D4—731no—
952C2×C4×D4—731no—
953C2×#117—731no—
954C2×#117—731no—
955C22×C4⋊C4—731no—
956C22×C4⋊C4—731no—
957#501—731no—
958#501—731no—
959#501—731no—
960#501C2×D7311yescharacteristic, complemented
961#500—731no—
962#500—731no—
963#498—731no—
964#498—731no—
965#484—731no—
966#484—731no—
967#484—731no—
968#484—731no—
969#483—731no—
970#483—731no—
971#483—731no—
972#483—731no—
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#481—731no—
982#481—731no—
983#481—731no—
984#481—731no—
985#481—731no—
986#481—731no—
987#481C2×D7311yescharacteristic, complemented
988#481C2×D7311yescharacteristic, complemented
989#480—731no—
990#480—731no—
991#480—731no—
992#480—731no—
993#480—731no—
994#480—731no—
995#480—731no—
996#480C2×D7311yescharacteristic, complemented
997#478—731no—
998#478—731no—
999#478—731no—
1000#478C2×D7311yescharacteristic, complemented
1001#477—731no—
1002#477—731no—
1003#476—731no—
1004#476—731no—
1005#476—731no—
1006#476C2×D7311yescharacteristic, complemented
1007#475—731no—
1008#475—731no—
1009#474—731no—
1010#474—731no—
1011#474—731no—
1012#474—731no—
1013#469—731no—
1014#469—731no—
1015#469—731no—
1016#469C2×D7311yescharacteristic, complemented
1017#468—731no—
1018#468—731no—
1019#468—731no—
1020#468—731no—
1021#466—731no—
1022#466—731no—
1023#466—731no—
1024#466C2×D7311yescharacteristic, complemented
1025#465—731no—
1026#465—731no—
1027#465—731no—
1028#465—731no—
1029#442—731no—
1030#442C2×D7311yescharacteristic, complemented
1031#440—731no—
1032#440—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×D8—731no—
1036C4×D8—731no—
1037#436—731no—
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041#435—731no—
1042#435C2×D7311yescharacteristic, complemented
1043C8×D4—731no—
1044C8×D4—731no—
1045#428—731no—
1046#428—731no—
1047#428—731no—
1048#428—731no—
1049#428—731no—
1050#428—731no—
1051#428—731no—
1052#428—731no—
1053#428—731no—
1054#428—731no—
1055#428—731no—
1056#428—731no—
1057#428—731no—
1058#428—731no—
1059#428—731no—
1060#428—731no—
1061#428C2×D7311yescharacteristic, complemented
1062C2×#107—731no—
1063C2×#107—731no—
1064C2×#107—731no—
1065C2×#107—731no—
1066C2×#106—731no—
1067C2×#106—731no—
1068C2×#106—731no—
1069C2×#106C2×D7311yescharacteristic, complemented
1070#423—731no—
1071#418—731no—
1072#418—731no—
1073#418—731no—
1074#417—731no—
1075#417—731no—
1076#417—731no—
1077#407—731no—
1078#407—731no—
1079C4×M16—731no—
1080C2×#41—21no—
1081C2×#41—2928no—
1082C2×#41—731no—
1083C2×#41—1461no—
1084C2×#41—1461no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C2×#41—1461no—
1089C2×#41—1461no—
1090C2×#41—1461no—
1091C22×Q8—1461no—
1092C22×D4—731no—
1093C22×D4—731no—
1094C22×D4—1461no—
1095C22×D4—1461no—
1096C23×C4—731no—
1097C23×C4—731no—
1098C23×C4—1461no—
1099C23×C4—1461no—
1100C23×C4—1461no—
1101AGL(1,ℤ/8)—1464no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×D8—731no—
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C2×M16—731no—
1109C2×M16—731no—
1110C2×M16—731no—
1111C2×M16—731no—
1112C2×M16—731no—
1113C2×M16—1464no—
1114C2×M16—1464no—
1115C2×M16C22×D7311yescharacteristic
1116C22×C8—731no—
1117C22×C8—731no—
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125C4⋊Q8—1461no—
1126C4⋊Q8—1461no—
1127C4⋊Q8C22×D7311yescharacteristic
1128#126—21no—
1129#126—1461no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#125—731no—
1135#125—1461no—
1136#125—1461no—
1137#125—1461no—
1138#125C22×D7311yescharacteristic
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166C22⋊Q8—21no—
1167C22⋊Q8—731no—
1168C22⋊Q8—731no—
1169C22⋊Q8—731no—
1170C22⋊Q8—731no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121C22×D7311yescharacteristic
1199#121C22×D7311yescharacteristic
1200#121C22×D7311yescharacteristic
1201#121C22×D7311yescharacteristic
1202#120—1461no—
1203#120—1461no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×D4—21no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4C22×D7311yescharacteristic
1232C4×D4C22×D7311yescharacteristic
1233C4×D4C22×D7311yescharacteristic
1234#117—731no—
1235#117—731no—
1236#117—731no—
1237#117—731no—
1238#117—731no—
1239#117—731no—
1240#117—1461no—
1241#117—1461no—
1242#117—1461no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117C22×D7311yescharacteristic
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—731no—
1255C2×C4⋊C4—731no—
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—731no—
1259C2×C4⋊C4—731no—
1260C2×C4⋊C4—731no—
1261C2×C4⋊C4—731no—
1262C2×C4⋊C4—1461no—
1263C2×C4⋊C4—1461no—
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C4⋊C4C22×D7311yescharacteristic
1272C2×C22⋊C4—731no—
1273C2×C22⋊C4—731no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C22⋊C4—1461no—
1278C2×C22⋊C4—1461no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107C22×D7311yescharacteristic
1299#107C22×D7311yescharacteristic
1300#107C22×D7311yescharacteristic
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308#106—731no—
1309#106—731no—
1310#106—731no—
1311#106—731no—
1312#106—731no—
1313#106C22×D7311yescharacteristic
1314#106C22×D7311yescharacteristic
1315#106C22×D7311yescharacteristic
1316#106C22×D7311yescharacteristic
1317#106C22×D7311yescharacteristic
1318#106C22×D7311yescharacteristic
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8C22×D7311yescharacteristic
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346#102C22×D7311yescharacteristic
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8C22×D7311yescharacteristic
1354C22⋊C8C22×D7311yescharacteristic
1355#97—731no—
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C24—731no—
1360C24—731no—
1361C24—1461no—
1362#41—44no—
1363#41—2924no—
1364#41—2924no—
1365#41—2924no—
1366#41—2924no—
1367#41—2924no—
1368#41—2924no—
1369#41—2924no—
1370#41—2924no—
1371#41—1462no—
1372#41—1462no—
1373C2×Q8—21no—
1374C2×Q8—2924no—
1375C2×Q8—731no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—2924no—
1386C2×D4—2924no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1462no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1464no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4D4×D7311yescharacteristic
1405C2×D4C23×D7311yescharacteristic
1406C2×D4C23×D7311yescharacteristic
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—2924no—
1413C22×C4—2924no—
1414C22×C4—2924no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1462no—
1437C22×C4—1462no—
1438C22×C4—1462no—
1439C22×C4—1462no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4C23×D7311yescharacteristic
1448C22×C4C23×D7311yescharacteristic
1449SD16—1462no—
1450SD16—1462no—
1451D8—22no—
1452D8—1462no—
1453M16—22no—
1454M16—734no—
1455M16—1462no—
1456M16—1462no—
1457M16—1462no—
1458M16—1462no—
1459M16—1462no—
1460M16—1462no—
1461C2×C8—22no—
1462C2×C8—731no—
1463C2×C8—731no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—1462no—
1467C2×C8—1462no—
1468C2×C8—1462no—
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4D4×D7311yescharacteristic
1514C4⋊C4C23×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4D4×D7311yescharacteristic
1556C22⋊C4D4×D7311yescharacteristic
1557C42—21no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C23—21no—
1571C23—21no—
1572C23—2921no—
1573C23—2921no—
1574C23—2922no—
1575C23—2922no—
1576C23—2922no—
1577C23—731no—
1578C23—731no—
1579C23—731no—
1580C23—1462no—
1581C23—1462no—
1582C23—1462no—
1583C23—1461no—
1584C23—1462no—
1585C23C2×D4×D7311yescharacteristic
1586C23C2×D4×D7311yescharacteristic
1587Q8—42no—
1588Q8—2922no—
1589Q8—2922no—
1590Q8—2922no—
1591Q8—2922no—
1592Q8—5841no—
1593Q8—1461no—
1594Q8—1461no—
1595D4—22no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2922no—
1612D4—2922no—
1613D4—5841no—
1614D4—734no—
1615D4—1462no—
1616D4—1462no—
1617D4—1461no—
1618D4—1461no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—2922no—
1635C2×C4—2921no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—5841no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—732no—
1655C2×C4—732no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—1462no—
1660C2×C4—1462no—
1661C2×C4—1462no—
1662C2×C4—1462no—
1663C2×C4—1462no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1462no—
1672C2×C4—1462no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C24×D7311yescharacteristic
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—732no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C8#41×D7312yescomplemented
1690C22—21no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—2924no—
1702C22—2924no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—5844no—
1707C22—732no—
1708C22—732no—
1709C22—1461no—
1710C22—1461no—
1711C22—1461no—
1712C22—1461no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22AGL(1,ℤ/8)×D7312yes—
1717C22C22×D4×D7311yescharacteristic
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—21no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—2921no—
1729C4—2921no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—732no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4C2×#41×D7311yescharacteristic
1741C42−1+4×D7311yescharacteristic
1742C2—22no—
1743C2—41no—
1744C2—81no—
1745C2—81no—
1746C2—2921no—
1747C2—5841no—
1748C2—1462no—
1749C2—1462no—
1750C2#547×D7311yescharacteristic
1751C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1752C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3345C2
socleC22×C73C23×D4
hypercenter#3345D73
hypocenterC73#61252
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #22623490C2semidirect
2. #547×D73C2semidirect
3. #22622521C2semidirect
4. #22622519C2semidirect
5. #22622513C2semidirect
6. #22622511C2semidirect
7. #22622408C2semidirect
8. #22622406C2semidirect
9. #22622395C2semidirect
10. #22622378C2semidirect
11. #22622373C2semidirect
12. #22622370C2semidirect
13. #22622365C2semidirect
14. #22622286C2semidirect
15. #22622284C2semidirect
16. #22622275C2semidirect
17. #22622273C2semidirect
18. #22620476C2semidirect
19. #22619870C2semidirect
20. #22619868C2semidirect
21. #22619853C2semidirect
22. #22619850C2semidirect
23. #22619743C2semidirect
24. #22619726C2semidirect
25. #22619549C2semidirect
26. #22619547C2semidirect
27. #22618742C2semidirect
28. #22618664C2semidirect
29. C2×#17988626C2semidirect
30. #428×D73C2semidirect
31. C73×#3345C2semidirect
36. #17989305C22semidirect
37. #17989301C22semidirect
38. #17989292C22semidirect
39. #17989287C22semidirect
40. #17989277C22semidirect
41. #17989275C22semidirect
53. #17989237C22semidirect
78. #17988997C22semidirect
79. #17988996C22semidirect
80. #17988993C22semidirect
81. #17988991C22semidirect
82. #17988991C22semidirect
83. #17988984C22semidirect
84. #17988984C22semidirect
85. #17988924C22semidirect
86. #17988924C22semidirect
87. #17988923C22semidirect
88. #17988922C22semidirect
89. #17988919C22semidirect
90. #17988919C22semidirect
91. #17988918C22semidirect
92. #17988917C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988912C22semidirect
96. #17988911C22semidirect
97. #17988909C22semidirect
98. #17988909C22semidirect
99. #17988908C22semidirect
100. #17988907C22semidirect
101. #17988905C22semidirect
102. #17988904C22semidirect
103. #17988904C22semidirect
104. #17988904C22semidirect
105. #17988903C22semidirect
106. #17988902C22semidirect
107. #17988901C22semidirect
108. #17988899C22semidirect
109. #17988899C22semidirect
110. #17988899C22semidirect
111. #17988898C22semidirect
112. #17988898C22semidirect
113. #17988888C22semidirect
114. #17988887C22semidirect
115. #17988884C22semidirect
116. #17988883C22semidirect
117. #17988879C22semidirect
118. #17988877C22semidirect
119. #17988876C22semidirect
120. #17988875C22semidirect
121. #17988871C22semidirect
122. #17988871C22semidirect
123. #17988866C22semidirect
124. #17988865C22semidirect
125. #17988865C22semidirect
126. #17988865C22semidirect
127. #17988839C22semidirect
128. #17988838C22semidirect
129. #17988837C22semidirect
130. #17988834C22semidirect
131. #17988833C22semidirect
132. #17988832C22semidirect
133. #17988831C22semidirect
134. #17988822C22semidirect
135. #17988821C22semidirect
136. #17988820C22semidirect
137. #17988817C22semidirect
138. #17988816C22semidirect
139. #17988815C22semidirect
140. #17988814C22semidirect
141. #17988697C22semidirect
142. #17988689C22semidirect
143. #17988687C22semidirect
144. #17988678C22semidirect
145. #17988674C22semidirect
146. D8×Dic73C22semidirect
147. #17988667C22semidirect
148. #17988663C22semidirect
149. #17988662C22semidirect
150. #17988660C22semidirect
151. #17988659C22semidirect
152. #17988657C22semidirect
153. C8×C22⋊D73C22semidirect
154. #17988650C22semidirect
155. #17988630C22semidirect
156. #17988629C22semidirect
160. #17988627C22semidirect
167. #17988626C22semidirect
168. #17988626C22semidirect
169. #17988626C22semidirect
170. #17988626C22semidirect
171. C2×#14556525C22semidirect
172. C2×#14556524C22semidirect
173. #107×D73C22semidirect
174. #107×D73C22semidirect
175. C2×#14556522C22semidirect
176. #106×D73C22semidirect
177. #106×D73C22semidirect
188. #553×C73C22semidirect
190. #501×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #481×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #476×C73C22semidirect
197. #469×C73C22semidirect
198. #466×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#106×C73C22semidirect
565. #11924011#41semidirect
749. C22⋊D73AGL(1,ℤ/8)semidirect
808. C8×C73C2×#41semidirect
812. #10596831C2×#41semidirect
886. #3345D73semidirect
908. C73#61252semidirect
917. #553C2×D73semidirect
960. #501C2×D73semidirect
980. #482C2×D73semidirect
987. #481C2×D73semidirect
988. #481C2×D73semidirect
996. #480C2×D73semidirect
1000. #478C2×D73semidirect
1006. #476C2×D73semidirect
1016. #469C2×D73semidirect
1024. #466C2×D73semidirect
1030. #442C2×D73semidirect
1042. #435C2×D73semidirect
1061. #428C2×D73semidirect
1069. C2×#106C2×D73semidirect
1689. C8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226234902
#547×D732
#226225212
#226225192
#226225132
#226225112
#226224082
#226224062
#226223952
#226223782
#226223732
#226223702
#226223652
#226222862
#226222842
#226222752
#226222732
#226204762
#226198702
#226198682
#226198532
#226198502
#226197432
#226197262
#226195492
#226195472
#226187422
#226186642
C2×#179886262
#428×D732
C73×#33452
#6125273