Finite Group Databasebeta

← #27110046

Subgroups — #27110046

Order 12032.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257762C211yesmaximal, characteristic, complemented
2#20257493C211yesmaximal, characteristic, complemented
3#20256456C211yesmaximal, characteristic, complemented
4#20256432C211yesmaximal, characteristic, complemented
5#20256232C211yesmaximal, characteristic, complemented
6#20256119C211yesmaximal, characteristic, complemented
7#20255546C211yesmaximal, characteristic, complemented
8#20255531C211yesmaximal, characteristic, complemented
9#20255516C211yesmaximal, characteristic, complemented
10#20255366C211yesmaximal, characteristic, complemented
11#20255339C211yesmaximal, characteristic, complemented
12#20255225C211yesmaximal, characteristic, complemented
13#20255148C211yesmaximal, characteristic, complemented
14#20255100C211yesmaximal, characteristic, complemented
15#20254978C211yesmaximal, characteristic, complemented
16#20254948C211yesmaximal, characteristic, complemented
17#20254933C211yesmaximal, characteristic, complemented
18#20254888C211yesmaximal, characteristic, complemented
19#20254849C211yesmaximal, characteristic, complemented
20#20254801C211yesmaximal, characteristic, complemented
21#20254715C211yesmaximal, characteristic, complemented
22#20254484C211yesmaximal, characteristic, complemented
23#20254440C211yesmaximal, characteristic, complemented
24#20254427C211yesmaximal, characteristic, complemented
25#20253667C211yesmaximal, characteristic, complemented
26#20253619C211yesmaximal, characteristic, complemented
27#20253540C211yesmaximal, characteristic, complemented
28#20252929C211yesmaximal, characteristic, complemented
29#20252910C211yesmaximal, characteristic, complemented
30#20252845C211yesmaximal, characteristic, complemented
31C47×#2992C211yesmaximal, characteristic, complemented
32C2×#13094057C2211yescharacteristic, complemented
33C2×#13094052C2211yescharacteristic
34C2×#13094046C2211yescharacteristic, complemented
35C2×#13094046C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C22×#10625325C2211yescharacteristic
38#15689863—21no—
39#15689863—21no—
40#15689858C2211yescharacteristic, complemented
41#15689857—21no—
42#15689851C2211yescharacteristic, complemented
43#15689846C2211yescharacteristic
44#15689838C2211yescharacteristic, complemented
45#15689835—21no—
46#15689826—21no—
47#15689819C2211yescharacteristic
48#15689818—21no—
49#15689813C2211yescharacteristic, complemented
50#15689805—21no—
51#15689795C2211yescharacteristic
52#15689794C2211yescharacteristic
53#15689794C2211yescharacteristic
54#15689794C2211yescharacteristic, complemented
55#15689782C2211yescharacteristic
56#15689782C2211yescharacteristic, complemented
57#15689778C2211yescharacteristic
58#15689769C2211yescharacteristic
59#15689769C2211yescharacteristic
60#15689766—21no—
61D4×D188C2211yescharacteristic
62#15689744C2211yescharacteristic
63#15689744C2211yescharacteristic
64#15689744C2211yescharacteristic, complemented
65#15689743—21no—
66#15689728C2211yescharacteristic, complemented
67#15689723—21no—
68#15689712—21no—
69#15689712—21no—
70#15689703—21no—
71#15689692C2211yescharacteristic
72#15689692C2211yescharacteristic
73#15689689—21no—
74#15689673C2211yescharacteristic
75#15689673C2211yescharacteristic
76#15689657C2211yescharacteristic, complemented
77#15689656—21no—
78#15689656—21no—
79#15689603C2211yescharacteristic, complemented
80#15689600C2211yescharacteristic, complemented
81C4×#10625350C2211yescharacteristic, complemented
82#15689517C2211yescharacteristic, complemented
83#15689512C2211yescharacteristic
84#15689512C2211yescharacteristic
85#15689512C2211yescharacteristic, complemented
86#15689507C2211yescharacteristic
87#15689500C2211yescharacteristic, complemented
88#15689492C2211yescharacteristic, complemented
89#15689488C2211yescharacteristic
90#15689488C2211yescharacteristic, complemented
91#15689483C2211yescharacteristic
92#15689478C2211yescharacteristic
93#15689470C2211yescharacteristic, complemented
94#15689465C2211yescharacteristic, complemented
95#15689454C2211yescharacteristic, complemented
96#15689448C2211yescharacteristic
97#15689448C2211yescharacteristic
98#15689448C2211yescharacteristic, complemented
99#15689442C2211yescharacteristic
100#15689431C2211yescharacteristic, complemented
101#15689424C2211yescharacteristic
102#15689424C2211yescharacteristic, complemented
103#15689424C2211yescharacteristic, complemented
104#15689419C2211yescharacteristic, complemented
105#15689419C2211yescharacteristic, complemented
106#15689414C2211yescharacteristic, complemented
107#15689409C2211yescharacteristic, complemented
108#15689404C2211yescharacteristic, complemented
109#15689404C2211yescharacteristic, complemented
110#15689376C2211yescharacteristic
111#15689369C2211yescharacteristic
112#15689369C2211yescharacteristic, complemented
113#15689369C2211yescharacteristic, complemented
114#15689364C2211yescharacteristic, complemented
115#15689359C2211yescharacteristic
116#15689359C2211yescharacteristic
117#15689359C2211yescharacteristic
118#15689359C2211yescharacteristic, complemented
119#15689352C2211yescharacteristic
120#15689352C2211yescharacteristic, complemented
121#15689352C2211yescharacteristic, complemented
122#15689346C2211yescharacteristic
123#15689346C2211yescharacteristic
124#15689346C2211yescharacteristic
125#15689346C2211yescharacteristic, complemented
126#15689346C2211yescharacteristic, complemented
127#15689346C2211yescharacteristic, complemented
128#15689346C2211yescharacteristic, complemented
129#15689346C2211yescharacteristic, complemented
130#15689339C2211yescharacteristic
131#15689339C2211yescharacteristic
132#15689339C2211yescharacteristic, complemented
133#15689339C2211yescharacteristic, complemented
134#15689339C2211yescharacteristic, complemented
135#15689339C2211yescharacteristic, complemented
136#15689339C2211yescharacteristic, complemented
137#15689339C2211yescharacteristic, complemented
138#15689334C2211yescharacteristic, complemented
139#15689329C2211yescharacteristic, complemented
140#15689324C2211yescharacteristic
141#15689324C2211yescharacteristic
142#15689324C2211yescharacteristic
143#15689324C2211yescharacteristic, complemented
144#15689324C2211yescharacteristic, complemented
145#15689324C2211yescharacteristic, complemented
146#15689324C2211yescharacteristic, complemented
147#15689319C2211yescharacteristic
148#15689319C2211yescharacteristic
149#15689319C2211yescharacteristic
150#15689319C2211yescharacteristic, complemented
151#15689319C2211yescharacteristic, complemented
152#15689287C2211yescharacteristic, complemented
153#15689287C2211yescharacteristic, complemented
154#15689287C2211yescharacteristic, complemented
155#15689287C2211yescharacteristic, complemented
156#15689281C2211yescharacteristic, complemented
157#15689276C2211yescharacteristic
158#15689270C2211yescharacteristic
159#15689270C2211yescharacteristic
160#15689270C2211yescharacteristic, complemented
161#15689270C2211yescharacteristic, complemented
162#15689270C2211yescharacteristic, complemented
163#15689270C2211yescharacteristic, complemented
164#15689270C2211yescharacteristic, complemented
165#15689270C2211yescharacteristic, complemented
166#15689264C2211yescharacteristic
167#15689259C2211yescharacteristic
168#15689259C2211yescharacteristic
169#15689259C2211yescharacteristic
170#15689236C2211yescharacteristic
171#15689236C2211yescharacteristic, complemented
172#15689236C2211yescharacteristic, complemented
173#15689231C2211yescharacteristic, complemented
174#15689231C2211yescharacteristic, complemented
175#15689225C2211yescharacteristic
176#15689225C2211yescharacteristic, complemented
177#15689225C2211yescharacteristic, complemented
178C4×Dic188C2211yescharacteristic, complemented
179C4×#10625325C2211yescharacteristic, complemented
180C4×#10625325C2211yescharacteristic, complemented
181C4×#10625325C2211yescharacteristic, complemented
182#15689129C2211yescharacteristic
183#15689125C2211yescharacteristic, complemented
184#15689120C2211yescharacteristic, complemented
185#15689120C2211yescharacteristic, complemented
186#15689120C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic
188C47×#529C2211yescharacteristic
189C47×#446C2211yescharacteristic, complemented
190C47×#446C2211yescharacteristic, complemented
191C47×#435C2211yescharacteristic
192C47×#435C2211yescharacteristic
193C47×#435C2211yescharacteristic, complemented
194C47×#435C2211yescharacteristic, complemented
195C8×D4×C47C2211yescharacteristic, complemented
196C8×D4×C47C2211yescharacteristic, complemented
197C47×#433C2211yescharacteristic, complemented
198C47×#433C2211yescharacteristic, complemented
199C47×#432C2211yescharacteristic, complemented
200C47×#424C2211yescharacteristic, complemented
201C47×#424C2211yescharacteristic, complemented
202C2×C4⋊C8×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C22×Dic94C2311yescharacteristic
212C22×D188C2311yescharacteristic
213C22×D188C2311yescharacteristic
214C2×D4×D47—21no—
215#13094057—42no—
216#13094052—42no—
217#13094046—42no—
218#13094046—42no—
219#13094046—42no—
220C2×Dic188C2311yescharacteristic
221C2×Dic188C2311yescharacteristic
222C2×Dic188C2311yescharacteristic
223C2×Dic188C2311yescharacteristic
224C2×#10625325—42no—
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625325C2311yescharacteristic
233C2×#10625325C2311yescharacteristic
234C2×#10625325C2311yescharacteristic
235C2×#10625325C2311yescharacteristic
236C2×#10625325C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×D376C2311yescharacteristic
239C2×D376C2311yescharacteristic
240C2×D376C2311yescharacteristic
241C2×D376C2311yescharacteristic
242C2×D376C2311yescharacteristic
243C2×D376C2311yescharacteristic
244C2×D376C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094024C2311yescharacteristic
247#13094024C2311yescharacteristic
248#13094022—21no—
249#13094021C2311yescharacteristic
250#13094021C2311yescharacteristic
251#13094021C2311yescharacteristic
252#13094021C2311yescharacteristic
253#13094021C2311yescharacteristic
254#13094020—21no—
255#13094020—21no—
256#13094020—21no—
257#13094019—21no—
258#13094019—21no—
259#13094019—21no—
260#13094019—21no—
261#13094019—21no—
262#13094019—21no—
263#13094018—21no—
264#13094017—21no—
265#13094016C2311yescharacteristic
266#13094016C2311yescharacteristic
267#13094014—21no—
268#13094014—21no—
269#13094014—21no—
270#13094013—21no—
271#13094012—21no—
272#13094012C2311yescharacteristic
273#13094012C2311yescharacteristic
274#13094012C2311yescharacteristic
275#13094012C2311yescharacteristic
276#13094012C2311yescharacteristic
277#13094012C2311yescharacteristic
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094009—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094007—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094005—21no—
299#13094003C2311yescharacteristic
300#13094003C2311yescharacteristic
301#13094003C2311yescharacteristic
302#13094003C2311yescharacteristic
303#13094002—21no—
304#13094002—21no—
305#13094002—21no—
306#13094002—21no—
307#13094002—21no—
308#13094000—21no—
309#13093999—21no—
310#13093999—21no—
311#13093999—21no—
312#13093999—21no—
313#13093999—21no—
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093998—21no—
318#13093998—21no—
319#13093998—21no—
320#13093998C2311yescharacteristic
321#13093998C2311yescharacteristic
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093998C2311yescharacteristic
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093998C2311yescharacteristic
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996—21no—
341#13093995—21no—
342#13093995—21no—
343#13093994—21no—
344#13093994—21no—
345#13093994—21no—
346#13093994—21no—
347#13093994—21no—
348#13093994—21no—
349#13093992—21no—
350#13093992—21no—
351C4×Dic94C2311yescharacteristic
352C4×Dic94C2311yescharacteristic
353C4×Dic94C2311yescharacteristic
354C4×Dic94C2311yescharacteristic
355C4×Dic94C2311yescharacteristic
356C4×Dic94C2311yescharacteristic
357C4×Dic94C2311yescharacteristic
358C4×Dic94C2311yescharacteristic
359#13093989—21no—
360#13093989—21no—
361#13093989—21no—
362C4×D188—21no—
363C4×D188—21no—
364C4×D188—21no—
365C4×D188C2311yescharacteristic
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368C4×D188C2311yescharacteristic
369C4×D188C2311yescharacteristic
370C4×D188C2311yescharacteristic
371C4×D188C2311yescharacteristic
372C4×D188C2311yescharacteristic
373#13093986—21no—
374#13093986—21no—
375#13093986—21no—
376#13093986—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380(C22⋊D47)⋊C4—21no—
381(C22⋊D47)⋊C4—21no—
382(C22⋊D47)⋊C4—21no—
383(C22⋊D47)⋊C4—21no—
384(C22⋊D47)⋊C4—21no—
385#13093983C2311yescharacteristic
386#13093983C2311yescharacteristic
387#13093982—21no—
388#13093982—21no—
389#13093982—21no—
390#13093981—21no—
391#13093981—21no—
392#13093980—21no—
393#13093980—21no—
394#13093980—21no—
395C2×C4⋊Dic47C2311yescharacteristic
396C4⋊C4×D47—21no—
397C4⋊C4×D47—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C42×D47—21no—
401#13093958C2311yescharacteristic
402#13093958C2311yescharacteristic
403#13093958C2311yescharacteristic
404#13093958C2311yescharacteristic
405#13093956C2311yescharacteristic
406#13093956C2311yescharacteristic
407#13093956C2311yescharacteristic
408#13093956C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093949C2311yescharacteristic
416#13093949C2311yescharacteristic
417#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093949C2311yescharacteristic
420#13093949C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093946C2311yescharacteristic
430#13093946C2311yescharacteristic
431#13093946C2311yescharacteristic
432#13093946C2311yescharacteristic
433#13093946C2311yescharacteristic
434#13093946C2311yescharacteristic
435#13093946C2311yescharacteristic
436#13093946C2311yescharacteristic
437#13093946C2311yescharacteristic
438#13093946C2311yescharacteristic
439#13093946C2311yescharacteristic
440#13093946C2311yescharacteristic
441C2×M16×C47C2311yescharacteristic
442C2×M16×C47C2311yescharacteristic
443C22×C8×C47C2311yescharacteristic
444C22×C8×C47C2311yescharacteristic
445C22×C8×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447#126×C47D411yescharacteristic
448#126×C47D411yescharacteristic
449#125×C47D411yescharacteristic
450#124×C47D411yescharacteristic
451#123×C47D411yescharacteristic
452#123×C47D411yescharacteristic
453C22⋊Q8×C47D411yescharacteristic
454#121×C47D411yescharacteristic
455C4×Q8×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459#117×C47C2311yescharacteristic
460#117×C47C2311yescharacteristic
461C2×C42×C47C2311yescharacteristic
462C4⋊C8×C47C2311yescharacteristic
463C4⋊C8×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466C4⋊C8×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472C22⋊C8×C47C2311yescharacteristic
473C22⋊C8×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479#97×C47C2311yescharacteristic
480#97×C47C2311yescharacteristic
481#97×C47C2311yescharacteristic
482C4×C8×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C2×Q8×C47C2×D411yescharacteristic
487C2×D4×C47C2×D411yescharacteristic
488C2×D4×C47C2×D411yescharacteristic
489C2×D4×C47C2×D411yescharacteristic
490C22×C4×C47C2×D411yescharacteristic
491C22×C4×C47C2×D411yescharacteristic
492C22×C4×C47C2411yescharacteristic
493C22×C4×C47C2411yescharacteristic
494C22×C4×C47C2411yescharacteristic
495C2×C22⋊D47—21no—
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511#10625354—82no—
512D4×D47—82no—
513#10625350—22no—
514#10625350—22no—
515#10625350—41no—
516#10625350—41no—
517#10625350—41no—
518#10625350—41no—
519#10625350—41no—
520#10625350—41no—
521#10625350—41no—
522#10625350—41no—
523#10625350—41no—
524#10625350—41no—
525#10625350—82no—
526C2×D188—21no—
527C2×D188—21no—
528C2×D188—21no—
529C2×D188—21no—
530C2×D188—21no—
531C2×D188—21no—
532C2×D188—21no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188—21no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—41no—
539C2×D188—41no—
540C2×D188—41no—
541C2×D188—41no—
542C2×D188C2411yescharacteristic
543C2×D188C2411yescharacteristic
544C2×D188C2411yescharacteristic
545C2×D188C2411yescharacteristic
546C2×D188C2411yescharacteristic
547C2×D188C2411yescharacteristic
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×Dic94—22no—
563C2×Dic94—21no—
564C2×Dic94—21no—
565C2×Dic94—21no—
566C2×Dic94—41no—
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569C2×Dic94C2411yescharacteristic
570C2×Dic94C2411yescharacteristic
571M16×C47—41no—
572M16×C47—41no—
573C2×C8×C47—41no—
574C2×C8×C47—41no—
575C2×C8×C47—41no—
576C2×C8×C47—41no—
577C2×C8×C47C2411yescharacteristic
578C2×C8×C47C2411yescharacteristic
579C2×C8×C47C2411yescharacteristic
580C2×C8×C47C2411yescharacteristic
581C2×C8×C47C2411yescharacteristic
582C2×C8×C47C2411yescharacteristic
583C2×C8×C47C2411yescharacteristic
584C2×C8×C47C2411yescharacteristic
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2×D411yescharacteristic
587C4⋊C4×C47C2×D411yescharacteristic
588C4⋊C4×C47C2×D411yescharacteristic
589C4⋊C4×C47C2×D411yescharacteristic
590C4⋊C4×C47C2×D411yescharacteristic
591C4⋊C4×C47C2×D411yescharacteristic
592C4⋊C4×C47C2×D411yescharacteristic
593C4⋊C4×C47C2×D411yescharacteristic
594C4⋊C4×C47C2×D411yescharacteristic
595C22⋊C4×C47C2×D411yescharacteristic
596C22⋊C4×C47C2×D411yescharacteristic
597C22⋊C4×C47C2×D411yescharacteristic
598C22⋊C4×C47C2×D411yescharacteristic
599C22⋊C4×C47C2×D411yescharacteristic
600C22⋊C4×C47C2×D411yescharacteristic
601C22⋊C4×C47C2×D411yescharacteristic
602C22⋊C4×C47C2×D411yescharacteristic
603C22⋊C4×C47C2×D411yescharacteristic
604C22⋊C4×C47C2×D411yescharacteristic
605C42×C47C2×D411yescharacteristic
606C42×C47C2×D411yescharacteristic
607C42×C47C2411yescharacteristic
608C42×C47C2411yescharacteristic
609C42×C47C2411yescharacteristic
610C42×C47C2411yescharacteristic
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645C4⋊Dic47—21no—
646C4⋊Dic47—21no—
647C4⋊Dic47—21no—
648C4⋊Dic47—21no—
649C4⋊Dic47—21no—
650C4⋊Dic47C2411yescharacteristic
651C4⋊Dic47C2411yescharacteristic
652C4⋊Dic47C2411yescharacteristic
653C4⋊Dic47C2411yescharacteristic
654C4⋊Dic47C2411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672C4×Dic47—21no—
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682Dic188—22no—
683Dic188—22no—
684Dic188—41no—
685Dic188—41no—
686D376—41no—
687D376—41no—
688D376—41no—
689D376—41no—
690D376—41no—
691D376—41no—
692D376—41no—
693D376—41no—
694#10625325—22no—
695#10625325—22no—
696#10625325—22no—
697#10625325—22no—
698#10625325—41no—
699#10625325—41no—
700#10625325—41no—
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625325—41no—
705#10625325—41no—
706C23×C47C22×D411yescharacteristic
707C23×C47C22×D411yescharacteristic
708C23×C47C22×D411yescharacteristic
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—81no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721Q8×C47—41no—
722D4×C47—41no—
723D4×C47—41no—
724D4×C47—41no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—41no—
732C2×C4×C47—41no—
733C2×C4×C47C22×D411yescharacteristic
734C2×C4×C47C22×D411yescharacteristic
735C2×C4×C47C22×D411yescharacteristic
736C2×C4×C47C22×D411yescharacteristic
737C2×C4×C47C22×D411yescharacteristic
738C2×C4×C47C22×D411yescharacteristic
739C2×C4×C47C22×D411yescharacteristic
740C2×C4×C47C22×D411yescharacteristic
741C2×C4×C47C22×D411yescharacteristic
742C2×C4×C47C22×D411yescharacteristic
743C2×C4×C47C22×D411yescharacteristic
744C2×C4×C47C2511yescharacteristic
745C22⋊D47—42no—
746C22⋊D47—42no—
747C22⋊D47—81no—
748C22⋊D47—81no—
749C22⋊D47—81no—
750C22⋊D47—81no—
751C22⋊D47—81no—
752C22⋊D47—81no—
753C22⋊D47—81no—
754C22⋊D47—81no—
755C22⋊D47—81no—
756C22⋊D47—81no—
757C22⋊D47—81no—
758C22⋊D47—81no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—42no—
770C2×Dic47—81no—
771D188—21no—
772D188—21no—
773D188—21no—
774D188—21no—
775D188—21no—
776D188—21no—
777D188—21no—
778D188—21no—
779D188—21no—
780D188—21no—
781D188—21no—
782D188—21no—
783D188—42no—
784D188—81no—
785D188—81no—
786D188—81no—
787D188—81no—
788D188—81no—
789D188—81no—
790D188—81no—
791D188—81no—
792D188—81no—
793D188—81no—
794D188—81no—
795C4×D47—42no—
796C4×D47—42no—
797C4×D47—42no—
798C4×D47—42no—
799C4×D47—81no—
800C4×D47—81no—
801C4×D47—81no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809Dic94—21no—
810Dic94—21no—
811Dic94—21no—
812Dic94—21no—
813Dic94—21no—
814Dic94—21no—
815Dic94—21no—
816Dic94—42no—
817Dic94—81no—
818Dic94—81no—
819Dic94H(5,𝔽2)12yes—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47—21no—
828#62026—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47C23×D411yescharacteristic
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—162no—
858C2×D47—162no—
859C4×C47—21no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47C2×H(5,𝔽2)11yescharacteristic
871C4×C47#58511yescharacteristic
872Dic47—22no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882#3546—471no—
883#3524—471no—
884#3401—471no—
885#3399—471no—
886#3377—471no—
887#3368—471no—
888#3319—471no—
889#3318—471no—
890#3317—471no—
891#3307—471no—
892#3305—471no—
893#3296—471no—
894#3287—471no—
895#3282—471no—
896#3271—471no—
897#3269—471no—
898#3268—471no—
899#3265—471no—
900#3262—471no—
901#3257—471no—
902#3247—471no—
903#3224—471no—
904#3220—471no—
905#3219—471no—
906#3125—471no—
907#3121—471no—
908#3115—471no—
909#3045—471no—
910#3043—471no—
911#3035—471no—
912#2992D4711yescharacteristic, complemented
913C2×C47—41no—
914C2×C47—41no—
915C2×C47—41no—
916C2×C47#348811yescharacteristic
917C2×C47#358411yescharacteristic
918C2×C47#358511yescharacteristic
919D47—81no—
920D47—81no—
921D47—81no—
922D47—81no—
923D47—81no—
924D47—81no—
925C2×#137—471no—
926C2×AGL(1,ℤ/8)—471no—
927C2×#135—471no—
928C2×#135—471no—
929C2×#135—471no—
930C22×SD16—471no—
931#560—941no—
932#560—941no—
933#559—471no—
934#559—941no—
935#557—471no—
936#556—471no—
937#555—471no—
938#555—941no—
939#553—471no—
940#553—941no—
941#553—941no—
942#552—471no—
943#552—941no—
944#550—471no—
945#550—471no—
946#550—471no—
947#550—471no—
948#548—471no—
949#548—471no—
950#547—471no—
951#546—471no—
952#546—471no—
953#546—941no—
954D42—471no—
955#542—471no—
956#542—471no—
957#542—471no—
958#542—941no—
959#540—471no—
960#540—941no—
961#538—941no—
962#538—941no—
963#537—941no—
964#535—471no—
965#535—471no—
966#535—941no—
967#532—471no—
968#532—471no—
969#529—471no—
970#529—941no—
971#529—941no—
972#529C2×D4711yescharacteristic
973#520—471no—
974#519—471no—
975C4×#41—471no—
976#497—471no—
977#496—471no—
978#496—471no—
979#496—471no—
980#495—471no—
981#493—471no—
982#491—471no—
983#490—471no—
984#490—471no—
985#489—471no—
986#488—471no—
987#486—471no—
988#485—471no—
989#483—471no—
990#482—471no—
991#482—471no—
992#482—471no—
993#481—471no—
994#479—471no—
995#478—471no—
996#478—471no—
997#478—471no—
998#477—471no—
999#477—471no—
1000#476—471no—
1001#475—471no—
1002#474—471no—
1003#474—471no—
1004#469—471no—
1005#468—471no—
1006#468—471no—
1007#468—471no—
1008#467—471no—
1009#466—471no—
1010#466—471no—
1011#466—471no—
1012#466—471no—
1013#465—471no—
1014#465—471no—
1015#465—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464—471no—
1022#464—471no—
1023#464—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#462—471no—
1033#461—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460—471no—
1038#460—471no—
1039#460—471no—
1040#460—471no—
1041#459—471no—
1042#459—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#452—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#451—471no—
1051#450—471no—
1052#449—471no—
1053#449—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#449—471no—
1060#448—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#446C2×D4711yescharacteristic, complemented
1065#446C2×D4711yescharacteristic, complemented
1066#442—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#441—471no—
1071#440—471no—
1072#440—471no—
1073#440—471no—
1074C4×Q16—471no—
1075C4×SD16—471no—
1076C4×SD16—471no—
1077C4×SD16—471no—
1078#435C2×D4711yescharacteristic
1079#435C2×D4711yescharacteristic
1080#435C2×D4711yescharacteristic, complemented
1081#435C2×D4711yescharacteristic, complemented
1082C8×D4C2×D4711yescharacteristic, complemented
1083C8×D4C2×D4711yescharacteristic, complemented
1084#433C2×D4711yescharacteristic, complemented
1085#433C2×D4711yescharacteristic, complemented
1086#432C2×D4711yescharacteristic, complemented
1087#424C2×D4711yescharacteristic, complemented
1088#424C2×D4711yescharacteristic, complemented
1089C2×C4⋊C8C2×D4711yescharacteristic, complemented
1090#418—471no—
1091#417—471no—
1092#416—471no—
1093#416—471no—
1094#416—471no—
1095C2×#102—471no—
1096C47#6202611yescharacteristic, complemented, Sylow
1097C2×#41—471no—
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—471no—
1102C2×#41—471no—
1103C2×#41—941no—
1104C2×#41—941no—
1105C22×Q8—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109#137—1882no—
1110AGL(1,ℤ/8)—1882no—
1111#135—1882no—
1112#135—1882no—
1113#135—1882no—
1114C2×Q16—471no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—471no—
1129C2×SD16—471no—
1130C2×SD16—1882no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×M16C22×D4711yescharacteristic
1140C2×M16C22×D4711yescharacteristic
1141C22×C8C22×D4711yescharacteristic
1142C22×C8C22×D4711yescharacteristic
1143C22×C8C22×D4711yescharacteristic
1144C22×C8C22×D4711yescharacteristic
1145C4⋊Q8—471no—
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—941no—
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—471no—
1153#127—471no—
1154#127—941no—
1155#127—941no—
1156#127—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#126—941no—
1165#126D18811yescharacteristic
1166#126D18811yescharacteristic
1167#125—471no—
1168#125—471no—
1169#125—941no—
1170#125—941no—
1171#125—941no—
1172#125D18811yescharacteristic
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—471no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124D18811yescharacteristic
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123D18811yescharacteristic
1204#123D18811yescharacteristic
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8D18811yescharacteristic
1216#121—471no—
1217#121—471no—
1218#121—471no—
1219#121—471no—
1220#121—471no—
1221#121—471no—
1222#121—471no—
1223#121—471no—
1224#121—941no—
1225#121—941no—
1226#121—941no—
1227#121—941no—
1228#121—941no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121D18811yescharacteristic
1251#120—941no—
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8—471no—
1266C4×Q8—471no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8—941no—
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296C4×D4C22×D4711yescharacteristic
1297#117—471no—
1298#117—471no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117—941no—
1304#117—941no—
1305#117—941no—
1306#117—941no—
1307#117C22×D4711yescharacteristic
1308#117C22×D4711yescharacteristic
1309C2×C4⋊C4—471no—
1310C2×C4⋊C4—941no—
1311C2×C4⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C42—941no—
1315C2×C42C22×D4711yescharacteristic
1316#107—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#106—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324C4⋊C8C22×D4711yescharacteristic
1325C4⋊C8C22×D4711yescharacteristic
1326C4⋊C8C22×D4711yescharacteristic
1327C4⋊C8C22×D4711yescharacteristic
1328C4⋊C8C22×D4711yescharacteristic
1329C4⋊C8C22×D4711yescharacteristic
1330C4⋊C8C22×D4711yescharacteristic
1331C4⋊C8C22×D4711yescharacteristic
1332C4⋊C8C22×D4711yescharacteristic
1333C4⋊C8C22×D4711yescharacteristic
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102—471no—
1365#102—471no—
1366C22⋊C8C22×D4711yescharacteristic
1367C22⋊C8C22×D4711yescharacteristic
1368C22⋊C8C22×D4711yescharacteristic
1369C22⋊C8C22×D4711yescharacteristic
1370C22⋊C8C22×D4711yescharacteristic
1371C22⋊C8C22×D4711yescharacteristic
1372#97C22×D4711yescharacteristic
1373#97C22×D4711yescharacteristic
1374#97C22×D4711yescharacteristic
1375#97C22×D4711yescharacteristic
1376C4×C8C22×D4711yescharacteristic
1377C4×C8C22×D4711yescharacteristic
1378C24—941no—
1379C24—941no—
1380#41—942no—
1381#41—942no—
1382#41—3762no—
1383#41—3762no—
1384#41—1881no—
1385#41—1881no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393#41—1881no—
1394C2×Q8—471no—
1395C2×Q8—471no—
1396C2×Q8—471no—
1397C2×Q8—471no—
1398C2×Q8—942no—
1399C2×Q8—941no—
1400C2×Q8—941no—
1401C2×Q8—941no—
1402C2×Q8—1881no—
1403C2×Q8C2×D18811yescharacteristic
1404C2×D4—471no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—941no—
1411C2×D4—941no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—941no—
1433C2×D4—941no—
1434C2×D4—941no—
1435C2×D4—941no—
1436C2×D4—3762no—
1437C2×D4—1881no—
1438C2×D4—1881no—
1439C2×D4—1881no—
1440C2×D4—1881no—
1441C2×D4C2×D18811yescharacteristic
1442C2×D4C2×D18811yescharacteristic
1443C2×D4C2×D18811yescharacteristic
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4C2×D18811yescharacteristic
1461C22×C4C2×D18811yescharacteristic
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464C22×C4C23×D4711yescharacteristic
1465Q16—942no—
1466Q16—942no—
1467Q16—1881no—
1468Q16—1881no—
1469SD16—942no—
1470SD16—942no—
1471SD16—942no—
1472SD16—942no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479SD16—1881no—
1480SD16—1881no—
1481D8—1881no—
1482D8—1881no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488D8—1881no—
1489M16—41no—
1490M16—41no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8C23×D4711yescharacteristic
1496C2×C8C23×D4711yescharacteristic
1497C2×C8C23×D4711yescharacteristic
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C2×C8C23×D4711yescharacteristic
1503C4⋊C4—471no—
1504C4⋊C4—471no—
1505C4⋊C4—471no—
1506C4⋊C4—471no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4C2×D18811yescharacteristic
1531C4⋊C4C2×D18811yescharacteristic
1532C4⋊C4C2×D18811yescharacteristic
1533C4⋊C4C2×D18811yescharacteristic
1534C4⋊C4C2×D18811yescharacteristic
1535C4⋊C4C2×D18811yescharacteristic
1536C4⋊C4C2×D18811yescharacteristic
1537C4⋊C4C2×D18811yescharacteristic
1538C4⋊C4C2×D18811yescharacteristic
1539C4⋊C4C2×D18811yescharacteristic
1540C22⋊C4—941no—
1541C22⋊C4—941no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4C2×D18811yescharacteristic
1575C22⋊C4C2×D18811yescharacteristic
1576C22⋊C4C2×D18811yescharacteristic
1577C22⋊C4C2×D18811yescharacteristic
1578C22⋊C4C2×D18811yescharacteristic
1579C22⋊C4C2×D18811yescharacteristic
1580C22⋊C4C2×D18811yescharacteristic
1581C22⋊C4C2×D18811yescharacteristic
1582C22⋊C4C2×D18811yescharacteristic
1583C22⋊C4C2×D18811yescharacteristic
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42—941no—
1592C42—941no—
1593C42—941no—
1594C42C2×D18811yescharacteristic
1595C42C2×D18811yescharacteristic
1596C42C23×D4711yescharacteristic
1597C42C23×D4711yescharacteristic
1598C42C23×D4711yescharacteristic
1599C42C23×D4711yescharacteristic
1600C23—941no—
1601C23—941no—
1602C23—941no—
1603C23—941no—
1604C23—941no—
1605C23—941no—
1606C23—3761no—
1607C23—3761no—
1608C23—3761no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23C22×D18811yescharacteristic
1613C23C22×D18811yescharacteristic
1614C23C22×D18811yescharacteristic
1615Q8—41no—
1616Q8—472no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—941no—
1621Q8—941no—
1622Q8—941no—
1623Q8—941no—
1624Q8—3761no—
1625Q8—3761no—
1626Q8—1882no—
1627D4—41no—
1628D4—41no—
1629D4—41no—
1630D4—941no—
1631D4—941no—
1632D4—941no—
1633D4—941no—
1634D4—941no—
1635D4—941no—
1636D4—941no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—941no—
1641D4—941no—
1642D4—3761no—
1643D4—3761no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—3761no—
1662D4—3761no—
1663D4—3761no—
1664D4—3761no—
1665D4—1882no—
1666D4—1882no—
1667D4—1882no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—3761no—
1691C2×C4—3761no—
1692C2×C4—3761no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—1882no—
1698C2×C4—1882no—
1699C2×C4—1882no—
1700C2×C4—1882no—
1701C2×C4—1882no—
1702C2×C4C22×D18811yescharacteristic
1703C2×C4C22×D18811yescharacteristic
1704C2×C4C22×D18811yescharacteristic
1705C2×C4C22×D18811yescharacteristic
1706C2×C4C22×D18811yescharacteristic
1707C2×C4C22×D18811yescharacteristic
1708C2×C4C22×D18811yescharacteristic
1709C2×C4C22×D18811yescharacteristic
1710C2×C4C22×D18811yescharacteristic
1711C2×C4C22×D18811yescharacteristic
1712C2×C4C22×D18811yescharacteristic
1713C2×C4C24×D4711yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22—1881no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—7522no—
1750C22—7522no—
1751C22C23×D18811yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—942no—
1764C4—1881no—
1765C4—1881no—
1766C4—1881no—
1767C4—1881no—
1768C4—1881no—
1769C4—1881no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4H(5,𝔽2)×D4711yescharacteristic
1774C4#1568996011yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—41no—
1778C2—3761no—
1779C2—3761no—
1780C2—3761no—
1781C2—3761no—
1782C2—3761no—
1783C2—3761no—
1784C2#2025705811yescharacteristic
1785C2#2025816211yescharacteristic
1786C2#2025816911yescharacteristic
subgroupG/H
centerC22C23×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#2992C2
socleC22×C47C23×D4
hypercenter#2992D47
hypocenterC47#62026
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #529 ◁ #2992

Complements

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

NH ≅ G/Ntype
1. #20257762C2semidirect
2. #20257493C2semidirect
3. #20256456C2semidirect
4. #20256432C2semidirect
5. #20256232C2semidirect
6. #20256119C2semidirect
7. #20255546C2semidirect
8. #20255531C2semidirect
9. #20255516C2semidirect
10. #20255366C2semidirect
11. #20255339C2semidirect
12. #20255225C2semidirect
13. #20255148C2semidirect
14. #20255100C2semidirect
15. #20254978C2semidirect
16. #20254948C2semidirect
17. #20254933C2semidirect
18. #20254888C2semidirect
19. #20254849C2semidirect
20. #20254801C2semidirect
21. #20254715C2semidirect
22. #20254484C2semidirect
23. #20254440C2semidirect
24. #20254427C2semidirect
25. #20253667C2semidirect
26. #20253619C2semidirect
27. #20253540C2semidirect
28. #20252929C2semidirect
29. #20252910C2semidirect
30. #20252845C2semidirect
31. C47×#2992C2semidirect
32. C2×#13094057C22semidirect
34. C2×#13094046C22semidirect
35. C2×#13094046C22semidirect
36. C2×#13094046C22semidirect
40. #15689858C22semidirect
42. #15689851C22semidirect
44. #15689838C22semidirect
49. #15689813C22semidirect
54. #15689794C22semidirect
56. #15689782C22semidirect
64. #15689744C22semidirect
66. #15689728C22semidirect
76. #15689657C22semidirect
79. #15689603C22semidirect
80. #15689600C22semidirect
81. C4×#10625350C22semidirect
82. #15689517C22semidirect
85. #15689512C22semidirect
87. #15689500C22semidirect
88. #15689492C22semidirect
90. #15689488C22semidirect
93. #15689470C22semidirect
94. #15689465C22semidirect
95. #15689454C22semidirect
98. #15689448C22semidirect
100. #15689431C22semidirect
102. #15689424C22semidirect
103. #15689424C22semidirect
104. #15689419C22semidirect
105. #15689419C22semidirect
106. #15689414C22semidirect
107. #15689409C22semidirect
108. #15689404C22semidirect
109. #15689404C22semidirect
112. #15689369C22semidirect
113. #15689369C22semidirect
114. #15689364C22semidirect
118. #15689359C22semidirect
120. #15689352C22semidirect
121. #15689352C22semidirect
125. #15689346C22semidirect
126. #15689346C22semidirect
127. #15689346C22semidirect
128. #15689346C22semidirect
129. #15689346C22semidirect
132. #15689339C22semidirect
133. #15689339C22semidirect
134. #15689339C22semidirect
135. #15689339C22semidirect
136. #15689339C22semidirect
137. #15689339C22semidirect
138. #15689334C22semidirect
139. #15689329C22semidirect
143. #15689324C22semidirect
144. #15689324C22semidirect
145. #15689324C22semidirect
146. #15689324C22semidirect
150. #15689319C22semidirect
151. #15689319C22semidirect
152. #15689287C22semidirect
153. #15689287C22semidirect
154. #15689287C22semidirect
155. #15689287C22semidirect
156. #15689281C22semidirect
160. #15689270C22semidirect
161. #15689270C22semidirect
162. #15689270C22semidirect
163. #15689270C22semidirect
164. #15689270C22semidirect
165. #15689270C22semidirect
171. #15689236C22semidirect
172. #15689236C22semidirect
173. #15689231C22semidirect
174. #15689231C22semidirect
176. #15689225C22semidirect
177. #15689225C22semidirect
178. C4×Dic188C22semidirect
179. C4×#10625325C22semidirect
180. C4×#10625325C22semidirect
181. C4×#10625325C22semidirect
183. #15689125C22semidirect
184. #15689120C22semidirect
185. #15689120C22semidirect
186. #15689120C22semidirect
189. C47×#446C22semidirect
190. C47×#446C22semidirect
193. C47×#435C22semidirect
194. C47×#435C22semidirect
195. C8×D4×C47C22semidirect
196. C8×D4×C47C22semidirect
197. C47×#433C22semidirect
198. C47×#433C22semidirect
199. C47×#432C22semidirect
200. C47×#424C22semidirect
201. C47×#424C22semidirect
202. C2×C4⋊C8×C47C22semidirect
912. #2992D47semidirect
1064. #446C2×D47semidirect
1065. #446C2×D47semidirect
1080. #435C2×D47semidirect
1081. #435C2×D47semidirect
1082. C8×D4C2×D47semidirect
1083. C8×D4C2×D47semidirect
1084. #433C2×D47semidirect
1085. #433C2×D47semidirect
1086. #432C2×D47semidirect
1087. #424C2×D47semidirect
1088. #424C2×D47semidirect
1089. C2×C4⋊C8C2×D47semidirect
1096. C47#62026semidirect

Maximal subgroups

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

subgroupindex
#202577622
#202574932
#202564562
#202564322
#202562322
#202561192
#202555462
#202555312
#202555162
#202553662
#202553392
#202552252
#202551482
#202551002
#202549782
#202549482
#202549332
#202548882
#202548492
#202548012
#202547152
#202544842
#202544402
#202544272
#202536672
#202536192
#202535402
#202529292
#202529102
#202528452
C47×#29922
#6202647