Finite Group Databasebeta

← #25976711

Subgroups — #25976711

Order 11008.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148456C211yesmaximal, characteristic
2#19148404C211yesmaximal, characteristic, complemented
3#19147442C211yesmaximal, characteristic, complemented
4#19147439C211yesmaximal, characteristic, complemented
5#19147434C211yesmaximal, characteristic, complemented
6#19147431C211yesmaximal, characteristic, complemented
7#19147403C211yesmaximal, characteristic, complemented
8#19147399C211yesmaximal, characteristic, complemented
9#19147397C211yesmaximal, characteristic, complemented
10#19147393C211yesmaximal, characteristic, complemented
11#19147370C211yesmaximal, characteristic, complemented
12#19147367C211yesmaximal, characteristic, complemented
13#19147362C211yesmaximal, characteristic, complemented
14#19147359C211yesmaximal, characteristic, complemented
15#19147338C211yesmaximal, characteristic, complemented
16#19147335C211yesmaximal, characteristic, complemented
17#19147332C211yesmaximal, characteristic, complemented
18#19144957C211yesmaximal, characteristic, complemented
19#19144955C211yesmaximal, characteristic, complemented
20#19144937C211yesmaximal, characteristic
21#19144454C211yesmaximal, characteristic, complemented
22#19144452C211yesmaximal, characteristic, complemented
23#19144395C211yesmaximal, characteristic, complemented
24#19144123C211yesmaximal, characteristic, complemented
25#19144120C211yesmaximal, characteristic, complemented
26#19144065C211yesmaximal, characteristic
27#19143531C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30#441×D43C211yesmaximal, characteristic, complemented
31C43×#3369C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×Q16×D43C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583629—21no—
38#14583629C2211yescharacteristic
39#14583628C2211yescharacteristic
40#14583627—21no—
41#14583627C2211yescharacteristic
42#14583627C2211yescharacteristic
43#14583625C2211yescharacteristic
44#14583625C2211yescharacteristic
45#14583624—21no—
46#14583624—21no—
47#14583624C2211yescharacteristic
48#14583624C2211yescharacteristic
49#14583624C2211yescharacteristic
50#14583622C2211yescharacteristic
51#14583621C2211yescharacteristic
52#14583618C2211yescharacteristic
53#14583616—21no—
54#14583603—21no—
55#14583585—21no—
56#14583582—21no—
57#14583526—21no—
58#14583526—21no—
59#14583526C2211yescharacteristic
60#14583526C2211yescharacteristic
61#14583495—21no—
62#14583490—21no—
63#14583474C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583454—21no—
66#14583454C2211yescharacteristic
67#14583453—21no—
68#14583453C2211yescharacteristic
69#14583448C2211yescharacteristic
70#14583432—21no—
71#14583427—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583375C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583268C2211yescharacteristic
79#14583267C2211yescharacteristic
80#14583266C2211yescharacteristic
81#14583266C2211yescharacteristic
82#14583266C2211yescharacteristic
83#14583266C2211yescharacteristic
84#14583262C2211yescharacteristic
85#14583262C2211yescharacteristic
86#14583261C2211yescharacteristic
87#14583261C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583259C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583254C2211yescharacteristic
94#14583253C2211yescharacteristic
95#14583252C2211yescharacteristic
96#14583251C2211yescharacteristic
97#14583248C2211yescharacteristic
98#14583248C2211yescharacteristic
99#14583209C2211yescharacteristic
100#14583209C2211yescharacteristic
101#14583209C2211yescharacteristic
102#14583208C2211yescharacteristic
103#14583208C2211yescharacteristic
104#14583208C2211yescharacteristic
105#14583207C2211yescharacteristic
106#14583206C2211yescharacteristic
107#14583200C2211yescharacteristic
108#14583199C2211yescharacteristic
109#14583198C2211yescharacteristic
110#14583197C2211yescharacteristic
111#14583195C2211yescharacteristic
112#14583194C2211yescharacteristic
113#14583188C2211yescharacteristic
114#14583187C2211yescharacteristic
115#14583186C2211yescharacteristic
116#14583183C2211yescharacteristic
117#14583182C2211yescharacteristic
118#14583181C2211yescharacteristic
119#14583181C2211yescharacteristic
120#14583124C2211yescharacteristic
121#14583123C2211yescharacteristic
122#14583122C2211yescharacteristic
123#14583122C2211yescharacteristic
124#14583121C2211yescharacteristic
125#14583121C2211yescharacteristic
126#14583120C2211yescharacteristic
127#14583119C2211yescharacteristic
128#14583118C2211yescharacteristic
129#14583118C2211yescharacteristic
130#14583110C2211yescharacteristic
131#14583109C2211yescharacteristic
132#14583108C2211yescharacteristic
133#14583108C2211yescharacteristic
134#14583108C2211yescharacteristic
135#14583107C2211yescharacteristic
136#14583107C2211yescharacteristic
137#14583107C2211yescharacteristic
138#14583106C2211yescharacteristic
139#14583098C2211yescharacteristic
140#14583097C2211yescharacteristic
141#14583030C2211yescharacteristic
142#14583029C2211yescharacteristic
143#14583028C2211yescharacteristic
144#14583028C2211yescharacteristic
145#14583027C2211yescharacteristic
146#14583027C2211yescharacteristic
147#14583026C2211yescharacteristic
148#14583007C2211yescharacteristic
149#14583006C2211yescharacteristic
150#14583005C2211yescharacteristic
151#14583005C2211yescharacteristic
152#14583004C2211yescharacteristic
153#14583004C2211yescharacteristic
154#14583004C2211yescharacteristic
155#14583003C2211yescharacteristic
156#14583003C2211yescharacteristic
157#14583003C2211yescharacteristic
158#14583002C2211yescharacteristic
159#14583001C2211yescharacteristic
160#14583000C2211yescharacteristic
161#14582999C2211yescharacteristic
162C4×Dic172C2211yescharacteristic
163Q16×Dic43C2211yescharacteristic
164C4×#10621885C2211yescharacteristic
165#14582991C2211yescharacteristic
166#14582990C2211yescharacteristic
167C4×#10621884C2211yescharacteristic
168#14582986C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582938C2211yescharacteristic
171#106×D43C2211yescharacteristic
172#14582924C2211yescharacteristic
173#14582924C2211yescharacteristic
174#14582921C2211yescharacteristic
175#14582906C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582894C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582853C2211yescharacteristic
187#97×D43C2211yescharacteristic
188Q82×C43C2211yescharacteristic
189C43×#556C2211yescharacteristic
190C43×#489C2211yescharacteristic
191C43×#489C2211yescharacteristic
192C43×#487C2211yescharacteristic
193C43×#476C2211yescharacteristic
194C43×#475C2211yescharacteristic
195C43×#475C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#441C2211yescharacteristic
201C43×#441C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207#13063357—24no—
208#13063354—24no—
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215Q16×D43—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325—21no—
224#13063325C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324D411yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063323—21no—
239#13063323D411yescharacteristic
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063317—21no—
251#13063317—21no—
252#13063317—21no—
253#13063317C2311yescharacteristic
254#13063317C2311yescharacteristic
255#13063316—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315D411yescharacteristic
277#13063315D411yescharacteristic
278#13063314C2311yescharacteristic
279#13063313C2311yescharacteristic
280#13063313C2311yescharacteristic
281#13063312C2311yescharacteristic
282#13063311—21no—
283#13063311—21no—
284#13063310—21no—
285#13063310—21no—
286#13063309—21no—
287#13063308—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063305—21no—
293#13063305D411yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303D411yescharacteristic
300#13063303D411yescharacteristic
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301D411yescharacteristic
309#13063298—21no—
310#13063298—21no—
311Q8×Dic43—21no—
312Q8×Dic43—21no—
313Q8×Dic43—21no—
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C42×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C4⋊Q8×C43—21no—
442C4⋊Q8×C43—21no—
443C4⋊Q8×C43—21no—
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#126×C43—21no—
449#126×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452C22⋊Q8×C43—21no—
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2×D411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C22×Dic43—21no—
494C22×Dic43—21no—
495#10621902—22no—
496#10621902—22no—
497Q8×D43—22no—
498Q8×D43—22no—
499Q8×D43—22no—
500Q8×D43#4114yes—
501#10621900—22no—
502#10621900—22no—
503C2×D172—21no—
504C2×D172C2411yescharacteristic
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43C2×D411yescharacteristic
513C2×C4×D43C2×D411yescharacteristic
514C2×C4×D43C2411yescharacteristic
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86C2×D411yescharacteristic
521C2×Dic86C2×D411yescharacteristic
522C2×Dic86C2×D411yescharacteristic
523C2×Dic86C2411yescharacteristic
524C2×Dic86C2411yescharacteristic
525C2×Dic86C2411yescharacteristic
526Q16×C43—22no—
527Q16×C43—22no—
528SD16×C43—22no—
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C2×C8×C43C2411yescharacteristic
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43C2×D411yescharacteristic
544C4⋊C4×C43C2×D411yescharacteristic
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43—21no—
558C42×C43—21no—
559C42×C43—21no—
560C42×C43C2411yescharacteristic
561C42×C43C2411yescharacteristic
562C42×C43C2411yescharacteristic
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566#10621885—22no—
567#10621885—22no—
568#10621885—22no—
569#10621885—22no—
570#10621884—22no—
571#10621883—22no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4C2×D411yescharacteristic
583(C2×D43)⋊C4C2×D411yescharacteristic
584(C2×D43)⋊C4C2×D411yescharacteristic
585(C2×D43)⋊C4C2×D411yescharacteristic
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43C2×D411yescharacteristic
599C4⋊Dic43C2×D411yescharacteristic
600C4⋊Dic43C2×D411yescharacteristic
601C4⋊Dic43C2411yescharacteristic
602C4⋊Dic43C2411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43C2×D411yescharacteristic
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C4×Dic43C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669Dic172—22no—
670Dic172—22no—
671#10621873—22no—
672#10621872—22no—
673#10621872—22no—
674C8×D43—22no—
675C8×D43—22no—
676C23×C43—21no—
677C22×D43—21no—
678C22×D43C22×D411yescharacteristic
679Q8×C43—21no—
680Q8×C43—21no—
681Q8×C43—21no—
682Q8×C43—21no—
683Q8×C43—21no—
684Q8×C43—41no—
685Q8×C43—81no—
686Q8×C43—81no—
687Q8×C43—81no—
688Q8×C43C2×#4112yes—
689D4×C43—21no—
690D4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—81no—
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C2511yescharacteristic
706C22⋊D43—42no—
707C22⋊D43—42no—
708C22⋊D43—81no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—42no—
717C2×Dic43—81no—
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725D172—21no—
726D172—21no—
727D172—42no—
728C4×D43—24no—
729C4×D43—41no—
730C4×D43—41no—
731C4×D43—42no—
732C4×D43—42no—
733C4×D43—81no—
734C4×D43—81no—
735C4×D43—81no—
736C4×D43—81no—
737C4×D43C2×#4112yes—
738C4×D432−1+412yes—
739Dic86—21no—
740Dic86—24no—
741Dic86—21no—
742Dic86—21no—
743Dic86—21no—
744Dic86—21no—
745Dic86—41no—
746Dic86—41no—
747Dic86—41no—
748Dic86—42no—
749Dic86—42no—
750Dic86—81no—
751Dic86—81no—
752Dic86C2×#4112yes—
753C8×C43—21no—
754C8×C43—21no—
755C8×C43—21no—
756C8×C43—21no—
757C43⋊C8—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761#61335—431nomaximal, Sylow
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43C23×D411yescharacteristic
766C2×D43—21no—
767C2×D43—21no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43#54812yes—
772C4×C43—21no—
773C4×C43—21no—
774C4×C43—21no—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—22no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43C22×#4111yescharacteristic
786C4×C43C2×2−1+411yescharacteristic
787Dic43—21no—
788Dic43—21no—
789Dic43—21no—
790Dic43—21no—
791Dic43—21no—
792Dic43—21no—
793Dic43—22no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43#54812yes—
801#3507—431no—
802#3502—431no—
803#3377—431no—
804#3377—431no—
805#3377—431no—
806#3377—431no—
807#3374—431no—
808#3374—431no—
809#3374—431no—
810#3374—431no—
811#3371—431no—
812#3371—431no—
813#3371—431no—
814#3371—431no—
815#3369—431no—
816#3369—431no—
817#3369—431no—
818#3369D4311yescharacteristic, complemented
819#3137—431no—
820#3137—431no—
821#3135—431no—
822#3084—431no—
823#3084—431no—
824#3078—431no—
825#3044—431no—
826#3044—431no—
827#3037—431no—
828#2961—431no—
829#2947—431no—
830#2947—431no—
831C2×#441—431no—
832C2×C43—81no—
833C2×C43C2×#54811yescharacteristic
834C2×C43#358611yescharacteristic
835C2×C43#358611yescharacteristic
836D43—22no—
837D43—81no—
838C2×#137—431no—
839C2×#137—431no—
840C22×Q16—431no—
841#559—431no—
842#559—431no—
843Q82—431no—
844Q82—861no—
845Q82C2×D4311yescharacteristic
846#557—431no—
847#557—431no—
848#557—431no—
849#557—431no—
850#557—431no—
851#557—431no—
852#557—431no—
853#557—431no—
854#557—861no—
855#557—861no—
856#557—861no—
857#556—431no—
858#556—431no—
859#556—431no—
860#556—861no—
861#556C2×D4311yescharacteristic
862#554—861no—
863#552—861no—
864#552—861no—
865#544—431no—
866#544—431no—
867#544—861no—
868#544—861no—
869#539—861no—
870#539—861no—
871#536—431no—
872#536—431no—
873#533—431no—
874#533—431no—
875#533—861no—
876#533—861no—
877#532—431no—
878#529—861no—
879#529—861no—
880#520—431no—
881#520—431no—
882#519—431no—
883#519—431no—
884C2×C4×Q8—431no—
885C2×C4×Q8—431no—
886#491—431no—
887#491—431no—
888#491—431no—
889#491—431no—
890#491—431no—
891#491—431no—
892#490—431no—
893#490—431no—
894#489—431no—
895#489—431no—
896#489—431no—
897#489—431no—
898#489—431no—
899#489—431no—
900#489C2×D4311yescharacteristic
901#489C2×D4311yescharacteristic
902#488—431no—
903#488—431no—
904#488—431no—
905#488—431no—
906#487—431no—
907#487—431no—
908#487—431no—
909#487C2×D4311yescharacteristic
910#479—431no—
911#479—431no—
912#479—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#478—431no—
919#478—431no—
920#478—431no—
921#478—431no—
922#477—431no—
923#477—431no—
924#476—431no—
925#476—431no—
926#476—431no—
927#476C2×D4311yescharacteristic
928#475—431no—
929#475—431no—
930#475—431no—
931#475—431no—
932#475C2×D4311yescharacteristic
933#475C2×D4311yescharacteristic
934#464—431no—
935#464—431no—
936#464—431no—
937#464—431no—
938#464—431no—
939#464—431no—
940#464—431no—
941#464—431no—
942#464—431no—
943#464—431no—
944#464C2×D4311yescharacteristic
945#464C2×D4311yescharacteristic
946#462—431no—
947#462—431no—
948#462—431no—
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462C2×D4311yescharacteristic
956#460—431no—
957#460—431no—
958#446—431no—
959#446—431no—
960#446—431no—
961#446—431no—
962#446—431no—
963#446—431no—
964#446—431no—
965#446C2×D4311yescharacteristic
966#441—431no—
967#441—431no—
968#441—431no—
969#441—431no—
970#441—431no—
971#441—431no—
972#441—431no—
973#441—431no—
974#441—431no—
975#441—431no—
976#441C2×D4311yescharacteristic
977#441C2×D4311yescharacteristic
978#440—431no—
979#440—431no—
980#440—431no—
981#440—431no—
982C4×Q16—431no—
983C4×Q16—431no—
984C4×Q16—431no—
985C4×Q16—431no—
986C4×SD16—431no—
987C4×SD16—431no—
988C4×SD16—431no—
989C4×SD16C2×D4311yescharacteristic
990#428—431no—
991#428—431no—
992C2×#106—431no—
993#424—431no—
994#424—431no—
995#423—431no—
996#419—431no—
997#419—431no—
998#417—431no—
999#417—431no—
1000#416—431no—
1001#416—431no—
1002#416—431no—
1003#416—431no—
1004C2×#103—431no—
1005C2×#103—431no—
1006#405—431no—
1007#405—431no—
1008C2×#97—431no—
1009C43#6133511yescharacteristic, complemented, Sylow
1010C2×#41—431no—
1011C2×#41—431no—
1012C22×Q8—431no—
1013C22×Q8—431no—
1014#137—864no—
1015#137—864no—
1016C2×Q16—431no—
1017C2×Q16—431no—
1018C2×Q16—431no—
1019C2×Q16—431no—
1020C2×Q16—431no—
1021C2×Q16—431no—
1022C2×Q16—864no—
1023C2×Q16C22×D4311yescharacteristic
1024C2×Q16C22×D4311yescharacteristic
1025C2×SD16—431no—
1026C2×SD16—431no—
1027C2×SD16—431no—
1028C2×SD16C22×D4311yescharacteristic
1029C2×M16—431no—
1030C2×M16—431no—
1031C22×C8—431no—
1032C22×C8—431no—
1033C4⋊Q8—21no—
1034C4⋊Q8—21no—
1035C4⋊Q8—21no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—431no—
1040C4⋊Q8—431no—
1041C4⋊Q8—431no—
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056C4⋊Q8C22×D4311yescharacteristic
1057C4⋊Q8C22×D4311yescharacteristic
1058C4⋊Q8C22×D4311yescharacteristic
1059C4⋊Q8C22×D4311yescharacteristic
1060#127—431no—
1061#126—21no—
1062#126—21no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—431no—
1074#125—431no—
1075#125—431no—
1076#125—431no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#124—431no—
1098#124—431no—
1099#124—431no—
1100#124—431no—
1101#124—861no—
1102#124—861no—
1103#124C22×D4311yescharacteristic
1104#124C22×D4311yescharacteristic
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113C22⋊Q8—21no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131#121—861no—
1132#121—861no—
1133C4×Q8—21no—
1134C4×Q8—431no—
1135C4×Q8—431no—
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—431no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8—861no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8C22×D4311yescharacteristic
1172C4×Q8C22×D4311yescharacteristic
1173C4×Q8C22×D4311yescharacteristic
1174C4×Q8C22×D4311yescharacteristic
1175C4×Q8C22×D4311yescharacteristic
1176C4×Q8C22×D4311yescharacteristic
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4C22×D4311yescharacteristic
1189#117—21no—
1190#117—431no—
1191#117—431no—
1192#117—431no—
1193#117—431no—
1194#117—861no—
1195#117—861no—
1196#117—861no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203C2×C4⋊C4—431no—
1204C2×C4⋊C4—431no—
1205C2×C4⋊C4—861no—
1206C2×C4⋊C4—861no—
1207C2×C4⋊C4—861no—
1208C2×C4⋊C4—861no—
1209C2×C42—431no—
1210C2×C42—861no—
1211C2×C42—861no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107—431no—
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106C22×D4311yescharacteristic
1222#106C22×D4311yescharacteristic
1223#106C22×D4311yescharacteristic
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8—431no—
1229C4⋊C8—431no—
1230C4⋊C8—431no—
1231C4⋊C8—431no—
1232C4⋊C8—431no—
1233C4⋊C8C22×D4311yescharacteristic
1234C4⋊C8C22×D4311yescharacteristic
1235C4⋊C8C22×D4311yescharacteristic
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103C22×D4311yescharacteristic
1258#103C22×D4311yescharacteristic
1259#103C22×D4311yescharacteristic
1260#103C22×D4311yescharacteristic
1261#103C22×D4311yescharacteristic
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#97—431no—
1277#97—431no—
1278#97—431no—
1279#97—431no—
1280#97—431no—
1281#97—431no—
1282#97C22×D4311yescharacteristic
1283#97C22×D4311yescharacteristic
1284C4×C8—431no—
1285C4×C8—431no—
1286C4×C8—431no—
1287C4×C8C22×D4311yescharacteristic
1288#41—862no—
1289#41—862no—
1290#41—862no—
1291#41—862no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—21no—
1295C2×Q8—431no—
1296C2×Q8—431no—
1297C2×Q8—431no—
1298C2×Q8—434no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—861no—
1306C2×Q8—862no—
1307C2×Q8—862no—
1308C2×Q8—862no—
1309C2×Q8—861no—
1310C2×Q8D4×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—431no—
1315C2×D4—861no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4C23×D4311yescharacteristic
1320C22×C4—21no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—861no—
1325C22×C4—861no—
1326C22×C4—861no—
1327C22×C4—861no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333Q16—22no—
1334Q16—22no—
1335Q16—862no—
1336Q16—862no—
1337Q16—862no—
1338Q16—862no—
1339Q16—862no—
1340Q16—862no—
1341SD16—22no—
1342SD16—862no—
1343SD16—862no—
1344SD16—862no—
1345M16—862no—
1346M16—862no—
1347C2×C8—431no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—862no—
1352C2×C8—862no—
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C2×C8C23×D4311yescharacteristic
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4D4×D4311yescharacteristic
1425C4⋊C4D4×D4311yescharacteristic
1426C4⋊C4D4×D4311yescharacteristic
1427C4⋊C4C23×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C4⋊C4C23×D4311yescharacteristic
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C42—21no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—431no—
1459C42—431no—
1460C42—431no—
1461C42—431no—
1462C42—431no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42—861no—
1477C42—861no—
1478C42—861no—
1479C42—861no—
1480C42C23×D4311yescharacteristic
1481C42C23×D4311yescharacteristic
1482C42C23×D4311yescharacteristic
1483C23—21no—
1484C23—431no—
1485C23—861no—
1486Q8—21no—
1487Q8—21no—
1488Q8—21no—
1489Q8—21no—
1490Q8—21no—
1491Q8—41no—
1492Q8—81no—
1493Q8—81no—
1494Q8—81no—
1495Q8—432no—
1496Q8—864no—
1497Q8—861no—
1498Q8—861no—
1499Q8—861no—
1500Q8—861no—
1501Q8—861no—
1502Q8—3441no—
1503Q8—3441no—
1504Q8—1721no—
1505Q8—1721no—
1506Q8—1721no—
1507Q8—1722no—
1508Q8—1722no—
1509Q8#41×D4312yes—
1510D4—21no—
1511D4—21no—
1512D4—861no—
1513D4—861no—
1514D4—3441no—
1515D4—1722no—
1516D4—1722no—
1517D4—1722no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—81no—
1526C2×C4—431no—
1527C2×C4—432no—
1528C2×C4—432no—
1529C2×C4—431no—
1530C2×C4—431no—
1531C2×C4—431no—
1532C2×C4—431no—
1533C2×C4—431no—
1534C2×C4—431no—
1535C2×C4—864no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—3441no—
1544C2×C4—3441no—
1545C2×C4—3441no—
1546C2×C4—3441no—
1547C2×C4—3441no—
1548C2×C4—1721no—
1549C2×C4—1721no—
1550C2×C4—1722no—
1551C2×C4—1722no—
1552C2×C4—1722no—
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C2×D4×D4311yescharacteristic
1557C2×C4C2×D4×D4311yescharacteristic
1558C2×C4C2×D4×D4311yescharacteristic
1559C2×C4C24×D4311yescharacteristic
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—21no—
1564C8—861no—
1565C8—861no—
1566C8—861no—
1567C8—861no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—432no—
1572C22—861no—
1573C22—861no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22C22×D4×D4311yescharacteristic
1578C4—22no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—432no—
1592C4—862no—
1593C4—861no—
1594C4—861no—
1595C4—861no—
1596C4—861no—
1597C4—861no—
1598C4—861no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4C2×#41×D4311yescharacteristic
1606C42−1+4×D4311yescharacteristic
1607C2—81no—
1608C2—862no—
1609C2—3441no—
1610C2#548×D4311yescharacteristic
1611C2#1914937711yescharacteristic
1612C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3369C2
socleC22×C43C23×D4
prime radical#14583448C22
hypercenter#3369D43
hypocenterC43#61335
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3369

Complements

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

NH ≅ G/Ntype
2. #19148404C2semidirect
3. #19147442C2semidirect
4. #19147439C2semidirect
5. #19147434C2semidirect
6. #19147431C2semidirect
7. #19147403C2semidirect
8. #19147399C2semidirect
9. #19147397C2semidirect
10. #19147393C2semidirect
11. #19147370C2semidirect
12. #19147367C2semidirect
13. #19147362C2semidirect
14. #19147359C2semidirect
15. #19147338C2semidirect
16. #19147335C2semidirect
17. #19147332C2semidirect
18. #19144957C2semidirect
19. #19144955C2semidirect
21. #19144454C2semidirect
22. #19144452C2semidirect
23. #19144395C2semidirect
24. #19144123C2semidirect
25. #19144120C2semidirect
27. #19143531C2semidirect
28. #19143437C2semidirect
29. #19143431C2semidirect
30. #441×D43C2semidirect
31. C43×#3369C2semidirect
818. #3369D43semidirect
1009. C43#61335semidirect

Maximal subgroups

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

subgroupindex
#191484562
#191484042
#191474422
#191474392
#191474342
#191474312
#191474032
#191473992
#191473972
#191473932
#191473702
#191473672
#191473622
#191473592
#191473382
#191473352
#191473322
#191449572
#191449552
#191449372
#191444542
#191444522
#191443952
#191441232
#191441202
#191440652
#191435312
#191434372
#191434312
#441×D432
C43×#33692
#6133543