Finite Group Databasebeta

← #25977238

Subgroups — #25977238

Order 11008.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148402C211yesmaximal, characteristic, complemented
2#19148394C211yesmaximal, characteristic
3#19147546C211yesmaximal, characteristic, complemented
4#19147542C211yesmaximal, characteristic, complemented
5#19147536C211yesmaximal, characteristic, complemented
6#19147517C211yesmaximal, characteristic, complemented
7#19147513C211yesmaximal, characteristic, complemented
8#19147506C211yesmaximal, characteristic, complemented
9#19147502C211yesmaximal, characteristic, complemented
10#19147473C211yesmaximal, characteristic, complemented
11#19147473C211yesmaximal, characteristic, complemented
12#19147470C211yesmaximal, characteristic, complemented
13#19147466C211yesmaximal, characteristic, complemented
14#19147465C211yesmaximal, characteristic, complemented
15#19147465C211yesmaximal, characteristic, complemented
16#19147454C211yesmaximal, characteristic, complemented
17#19147450C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19145122C211yesmaximal, characteristic, complemented
20#19145108C211yesmaximal, characteristic, complemented
21#19144434C211yesmaximal, characteristic, complemented
22#19144430C211yesmaximal, characteristic, complemented
23#19144425C211yesmaximal, characteristic
24#19144421C211yesmaximal, characteristic
25#19144398C211yesmaximal, characteristic, complemented
26#19144390C211yesmaximal, characteristic
27#19143526C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic
29#19143451C211yesmaximal, characteristic
30C4×SD16×D43C211yesmaximal, characteristic
31C43×#3388C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33Q8×Dic86C2211yescharacteristic, complemented
34#14583629—21no—
35#14583629C2211yescharacteristic, complemented
36#14583627—21no—
37#14583627C2211yescharacteristic, complemented
38#14583626—21no—
39#14583626—21no—
40#14583626C2211yescharacteristic, complemented
41#14583626C2211yescharacteristic, complemented
42#14583625C2211yescharacteristic, complemented
43#14583625C2211yescharacteristic, complemented
44#14583609C2211yescharacteristic
45#14583608C2211yescharacteristic
46#14583608C2211yescharacteristic
47#14583605C2211yescharacteristic
48#14583605C2211yescharacteristic
49#14583604—21no—
50#14583603—21no—
51#14583603—21no—
52D4×Dic86C2211yescharacteristic
53#14583564C2211yescharacteristic
54#14583562—21no—
55#14583529—21no—
56#14583529C2211yescharacteristic
57#14583529C2211yescharacteristic
58#14583526—21no—
59#14583526C2211yescharacteristic
60#14583526C2211yescharacteristic
61#14583524—21no—
62#14583524—21no—
63#14583455—21no—
64#14583455C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583453—21no—
67#14583453C2211yescharacteristic
68C2×#13063303—21no—
69C22⋊Q8×D43—21no—
70#14583375C2211yescharacteristic
71#14583375C2211yescharacteristic
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75C4×D4×D43C2211yescharacteristic
76#14583308C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583301C2211yescharacteristic, complemented
85#14583300C2211yescharacteristic, complemented
86#14583300C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583298C2211yescharacteristic, complemented
89#14583298C2211yescharacteristic, complemented
90#14583298C2211yescharacteristic, complemented
91#14583296C2211yescharacteristic, complemented
92#14583296C2211yescharacteristic, complemented
93#14583296C2211yescharacteristic, complemented
94#14583296C2211yescharacteristic, complemented
95#14583295C2211yescharacteristic, complemented
96#14583295C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583204C2211yescharacteristic, complemented
105#14583203C2211yescharacteristic, complemented
106#14583203C2211yescharacteristic, complemented
107#14583201C2211yescharacteristic
108#14583201C2211yescharacteristic
109#14583200C2211yescharacteristic
110#14583200C2211yescharacteristic
111#14583199C2211yescharacteristic
112#14583199C2211yescharacteristic
113#14583198C2211yescharacteristic
114#14583198C2211yescharacteristic
115#14583196C2211yescharacteristic
116#14583196C2211yescharacteristic
117#14583194C2211yescharacteristic, complemented
118#14583193C2211yescharacteristic, complemented
119#14583193C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583191C2211yescharacteristic, complemented
123#14583190C2211yescharacteristic
124#14583188C2211yescharacteristic
125#14583188C2211yescharacteristic
126#14583187C2211yescharacteristic
127#14583187C2211yescharacteristic
128#14583185C2211yescharacteristic, complemented
129#14583183C2211yescharacteristic, complemented
130#14583183C2211yescharacteristic, complemented
131#14583182C2211yescharacteristic, complemented
132#14583182C2211yescharacteristic, complemented
133#14583179C2211yescharacteristic
134#14583178C2211yescharacteristic
135#14583178C2211yescharacteristic
136#14583177C2211yescharacteristic
137#14583177C2211yescharacteristic
138#14583176C2211yescharacteristic
139#14583029C2211yescharacteristic, complemented
140#14583027C2211yescharacteristic, complemented
141#14583027C2211yescharacteristic, complemented
142Q8×C43⋊C8C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583023C2211yescharacteristic, complemented
145#14583023C2211yescharacteristic, complemented
146#14583001C2211yescharacteristic
147#14583001C2211yescharacteristic
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582990C2211yescharacteristic
153#14582990C2211yescharacteristic
154#14582990C2211yescharacteristic
155C4×#10621873C2211yescharacteristic
156SD16×Dic43C2211yescharacteristic
157C4×#10621884C2211yescharacteristic
158C4×#10621884C2211yescharacteristic
159C4×#10621884C2211yescharacteristic
160#14582986C2211yescharacteristic
161C4×#10621883C2211yescharacteristic
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic
164#14582984C2211yescharacteristic
165#14582984C2211yescharacteristic
166#14582984C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582938C2211yescharacteristic
171#14582936C2211yescharacteristic
172#14582936C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582934C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#14582924C2211yescharacteristic
177#14582924C2211yescharacteristic
178#14582921C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582856C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#499C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#479C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic
196C43×#478C2211yescharacteristic
197C43×#476C2211yescharacteristic
198C43×#475C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C22×Dic86—21no—
204C2×Q8×D43—21no—
205C2×Q8×D43C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43—21no—
208C2×#10621873C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211SD16×D43Q818yescomplemented
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×C8×D43C2311yescharacteristic
215C2×C8×D43C2311yescharacteristic
216#13063325—21no—
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324D411yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323—21no—
238#13063323—21no—
239#13063323—21no—
240#13063323—21no—
241#13063323—21no—
242#13063323D411yescharacteristic
243#13063317—21no—
244#13063317—21no—
245#13063317C2311yescharacteristic
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063317C2311yescharacteristic
249#13063316—21no—
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315D411yescharacteristic
266#13063315D411yescharacteristic
267#13063305—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305D411yescharacteristic
272#13063304—21no—
273#13063304—21no—
274#13063304—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303D411yescharacteristic
292#13063303D411yescharacteristic
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301D411yescharacteristic
304Q8×Dic43C2311yescharacteristic
305Q8×Dic43C2311yescharacteristic
306Q8×Dic43C2311yescharacteristic
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86—21no—
313C4×Dic86C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282C2311yescharacteristic
357#13063282C2311yescharacteristic
358C2×Dic43⋊C4—21no—
359C2×Dic43⋊C4—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×(C2×D43)⋊C4—21no—
367C2×(C2×D43)⋊C4—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C42×D43—21no—
372C42×D43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429C4×C43⋊C8C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C4⋊Q8×C43—21no—
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440#125×C43—21no—
441#125×C43—21no—
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C2×C4⋊C4×C43—21no—
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C22×Dic43—21no—
490C22×Dic43—21no—
491C22×Dic43—21no—
492Q8×D43—22no—
493Q8×D43—82no—
494Q8×D43C2×Q814yescomplemented
495D4×D43—22no—
496D4×D43C2×Q814yes—
497C2×D172C2411yescharacteristic
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—82no—
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2×D411yescharacteristic
510C2×C4×D43C2411yescharacteristic
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—82no—
523C2×Dic86C2×D411yescharacteristic
524C2×Dic86C2×D411yescharacteristic
525C2×Dic86C2×D411yescharacteristic
526C2×Dic86C2411yescharacteristic
527SD16×C43C2×Q814yescomplemented
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C4⋊C4×C43—21no—
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×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2×D411yescharacteristic
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×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#10621884C2×Q814yescomplemented
567#10621883C2×Q814yescomplemented
568(C2×D43)⋊C4—21no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
579(C2×D43)⋊C4C2×D411yescharacteristic
580(C2×D43)⋊C4C2×D411yescharacteristic
581(C2×D43)⋊C4C2×D411yescharacteristic
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43C2×D411yescharacteristic
592C4⋊Dic43C2×D411yescharacteristic
593C4⋊Dic43C2×D411yescharacteristic
594C4⋊Dic43C2411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
596C4⋊Dic43C2411yescharacteristic
597C4⋊Dic43C2411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
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×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660#10621873C2×Q814yescomplemented
661#10621872—22no—
662#10621872—22no—
663C8×D43—22no—
664C8×D43C2×Q814yescomplemented
665C23×C43—21no—
666C22×D43—21no—
667C22×D43—24no—
668C22×D43—81no—
669C22×D43—81no—
670C22×D43C22×D411yescharacteristic
671Q8×C43—21no—
672Q8×C43—41no—
673Q8×C43—81no—
674Q8×C43—81no—
675Q8×C43C22×Q812yes—
676D4×C43—21no—
677D4×C43C22×Q812yes—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—81no—
686C2×C4×C43—81no—
687C2×C4×C43—81no—
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C2511yescharacteristic
695C22⋊D43—24no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—42no—
704C2×Dic43—81no—
705C2×Dic43—81no—
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713D172—21no—
714D172C22×Q812yes—
715C4×D43—24no—
716C4×D43—22no—
717C4×D43—41no—
718C4×D43—42no—
719C4×D43—81no—
720C4×D43—81no—
721C4×D43—81no—
722C4×D43—81no—
723C4×D43—81no—
724C4×D43—81no—
725C4×D43—81no—
726C4×D43C22×Q812yes—
727C4×D432−1+412yes—
728Dic86—21no—
729Dic86—24no—
730Dic86—22no—
731Dic86—22no—
732Dic86—41no—
733Dic86—42no—
734Dic86—42no—
735Dic86—81no—
736Dic86—81no—
737Dic86—81no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic86—81no—
742Dic86—81no—
743Dic86C22×Q812yes—
744C8×C43—21no—
745C8×C43—21no—
746C8×C43—21no—
747C8×C43C22×Q812yes—
748C43⋊C8—21no—
749C43⋊C8—21no—
750C43⋊C8—21no—
751C43⋊C8C22×Q812yes—
752#61371—431nomaximal, Sylow
753C22×C43—22no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43C23×D411yescharacteristic
757C2×D43—21no—
758C2×D43—21no—
759C2×D43—22no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—84no—
763C2×D43D4×Q812yes—
764C4×C43—21no—
765C4×C43—21no—
766C4×C43—21no—
767C4×C43—22no—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—21no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43C23×Q811yescharacteristic
778C4×C43C2×2−1+411yescharacteristic
779Dic43—21no—
780Dic43—21no—
781Dic43—21no—
782Dic43—22no—
783Dic43—21no—
784Dic43—21no—
785Dic43—41no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43D4×Q812yes—
792Dic43#57712yes—
793#3502—431no—
794#3501—431no—
795#3388—431no—
796#3388—431no—
797#3388—431no—
798#3388D4311yescharacteristic, complemented
799#3386—431no—
800#3386—431no—
801#3385—431no—
802#3385—431no—
803#3381—431no—
804#3381—431no—
805#3381—431no—
806#3381—431no—
807#3381—431no—
808#3381—431no—
809Q8×SD16—431no—
810Q8×SD16—431no—
811#3163—431no—
812#3163—431no—
813#3160—431no—
814#3082—431no—
815#3082—431no—
816#3081—431no—
817#3081—431no—
818#3078—431no—
819#3077—431no—
820#2960—431no—
821#2949—431no—
822#2949—431no—
823C2×C4×SD16—431no—
824C2×C43—42no—
825C2×C43C2×D4×Q811yescharacteristic
826C2×C43C2×#57711yescharacteristic
827C2×C43#358411yescharacteristic
828D43—22no—
829D43—42no—
830C22×SD16—431no—
831Q82—431no—
832Q82—431no—
833Q82—861no—
834#557—431no—
835#557—431no—
836#557—431no—
837#557—431no—
838#557—431no—
839#557—861no—
840#557—861no—
841#557—861no—
842#557C2×D4311yescharacteristic, complemented
843#554—431no—
844#554—431no—
845#554—431no—
846#554—431no—
847#554—431no—
848#554—861no—
849#554—861no—
850#554—861no—
851#554C2×D4311yescharacteristic
852D4×Q8—431no—
853D4×Q8—431no—
854D4×Q8—861no—
855#544—431no—
856#544—431no—
857#544—431no—
858#544—431no—
859#544—861no—
860#544—861no—
861#543—861no—
862#543—861no—
863#533—431no—
864#533—431no—
865#533—431no—
866#533—861no—
867#533—861no—
868C2×C22⋊Q8—861no—
869C2×C22⋊Q8—861no—
870#519—431no—
871#519—431no—
872#518—431no—
873#518—431no—
874C2×C4×Q8—431no—
875C2×C4×D4—431no—
876#501—431no—
877#501—431no—
878#501—431no—
879#501—431no—
880#501—431no—
881#501—431no—
882#501C2×D4311yescharacteristic, complemented
883#501C2×D4311yescharacteristic, complemented
884#500—431no—
885#500—431no—
886#499—431no—
887#499—431no—
888#499—431no—
889#499—431no—
890#499—431no—
891#499—431no—
892#499—431no—
893#499C2×D4311yescharacteristic, complemented
894#498—431no—
895#498—431no—
896#498—431no—
897#498—431no—
898#498—431no—
899#498—431no—
900#479—431no—
901#479—431no—
902#479—431no—
903#479—431no—
904#479—431no—
905#479—431no—
906#479—431no—
907#479—431no—
908#479—431no—
909#479—431no—
910#479C2×D4311yescharacteristic, complemented
911#479C2×D4311yescharacteristic, complemented
912#478—431no—
913#478—431no—
914#478—431no—
915#478—431no—
916#478—431no—
917#478—431no—
918#478—431no—
919#478—431no—
920#478—431no—
921#478—431no—
922#478C2×D4311yescharacteristic
923#478C2×D4311yescharacteristic
924#477—431no—
925#477—431no—
926#477—431no—
927#477—431no—
928#477—431no—
929#477—431no—
930#476—431no—
931#476—431no—
932#476—431no—
933#476—431no—
934#476—431no—
935#476C2×D4311yescharacteristic
936#475—431no—
937#475—431no—
938#475—431no—
939#475—431no—
940#475—431no—
941#475C2×D4311yescharacteristic, complemented
942#474—431no—
943#474—431no—
944#474—431no—
945#474—431no—
946#474—431no—
947#474—431no—
948#446—431no—
949#446—431no—
950#446—431no—
951#446C2×D4311yescharacteristic, complemented
952C8×Q8—431no—
953C8×Q8—431no—
954C8×Q8—431no—
955C8×Q8—431no—
956#440—431no—
957#440—431no—
958#440—431no—
959#440—431no—
960#440—431no—
961#440—431no—
962#440C2×D4311yescharacteristic
963#440C2×D4311yescharacteristic
964C4×SD16—431no—
965C4×SD16—431no—
966C4×SD16—431no—
967C4×SD16—431no—
968C4×SD16—431no—
969C4×SD16—431no—
970C4×SD16—431no—
971C4×SD16—431no—
972C4×SD16—431no—
973C4×SD16—431no—
974C4×SD16—431no—
975C4×SD16—431no—
976C4×SD16—431no—
977C4×SD16—431no—
978C4×SD16—431no—
979C4×SD16C2×D4311yescharacteristic
980#428—431no—
981#428—431no—
982#428—431no—
983#428—431no—
984#427—431no—
985#427—431no—
986#427—431no—
987#427—431no—
988C2×#106—431no—
989#424—431no—
990#424—431no—
991#423—431no—
992#419—431no—
993#419—431no—
994#418—431no—
995#418—431no—
996C2×#103—431no—
997C2×#102—431no—
998#405—431no—
999#405—431no—
1000C2×C4×C8—431no—
1001C43#6137111yescharacteristic, complemented, Sylow
1002C22×Q8—431no—
1003C22×Q8—861no—
1004C22×Q8—861no—
1005C22×D4—431no—
1006C23×C4—861no—
1007C2×SD16—431no—
1008C2×SD16—431no—
1009C2×SD16—438no—
1010C2×SD16—431no—
1011C2×SD16C22×D4311yescharacteristic
1012C2×M16—431no—
1013C2×M16—431no—
1014C22×C8—431no—
1015C22×C8—431no—
1016C4⋊Q8—21no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—861no—
1030C4⋊Q8—861no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8—861no—
1035C4⋊Q8—861no—
1036C4⋊Q8—861no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8C22×D4311yescharacteristic
1045C4⋊Q8C22×D4311yescharacteristic
1046#125—21no—
1047#125—21no—
1048#125—431no—
1049#125—431no—
1050#125—431no—
1051#125—431no—
1052#125—431no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—861no—
1059#125—861no—
1060#125—861no—
1061#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125C22×D4311yescharacteristic
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#125C22×D4311yescharacteristic
1076C22⋊Q8—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—431no—
1080C22⋊Q8—431no—
1081C22⋊Q8—431no—
1082C22⋊Q8—431no—
1083C22⋊Q8—861no—
1084C22⋊Q8—861no—
1085C22⋊Q8—861no—
1086C22⋊Q8—861no—
1087C22⋊Q8—861no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C4×Q8—21no—
1117C4×Q8—431no—
1118C4×Q8—431no—
1119C4×Q8—431no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—431no—
1124C4×Q8—431no—
1125C4×Q8—431no—
1126C4×Q8—431no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—861no—
1130C4×Q8—861no—
1131C4×Q8—861no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8—861no—
1138C4×Q8—861no—
1139C4×Q8—861no—
1140C4×Q8—861no—
1141C4×Q8—861no—
1142C4×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8C22×D4311yescharacteristic
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×Q8C22×D4311yescharacteristic
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4C22×D4311yescharacteristic
1166C4×D4C22×D4311yescharacteristic
1167C4×D4C22×D4311yescharacteristic
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—861no—
1175#117—861no—
1176#117—861no—
1177#117—861no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—861no—
1182C2×C4⋊C4—861no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C4⋊C4—861no—
1186C2×C4⋊C4—861no—
1187C2×C22⋊C4—861no—
1188C2×C22⋊C4—861no—
1189C2×C22⋊C4—861no—
1190C2×C22⋊C4—861no—
1191C2×C22⋊C4—861no—
1192C2×C42—431no—
1193C2×C42—861no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107—431no—
1206#107C22×D4311yescharacteristic
1207#107C22×D4311yescharacteristic
1208#107C22×D4311yescharacteristic
1209#107C22×D4311yescharacteristic
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106—431no—
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106—431no—
1222#106—431no—
1223#106—431no—
1224#106—431no—
1225#106C22×D4311yescharacteristic
1226#106C22×D4311yescharacteristic
1227#106C22×D4311yescharacteristic
1228#106C22×D4311yescharacteristic
1229#106C22×D4311yescharacteristic
1230C4⋊C8—431no—
1231C4⋊C8—431no—
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8C22×D4311yescharacteristic
1240C4⋊C8C22×D4311yescharacteristic
1241C4⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1252#103C22×D4311yescharacteristic
1253#103C22×D4311yescharacteristic
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102C22×D4311yescharacteristic
1264#102C22×D4311yescharacteristic
1265#102C22×D4311yescharacteristic
1266#97—431no—
1267#97—431no—
1268#97C22×D4311yescharacteristic
1269#97C22×D4311yescharacteristic
1270C4×C8—431no—
1271C4×C8—431no—
1272C4×C8—431no—
1273C4×C8—431no—
1274C4×C8—431no—
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8C22×D4311yescharacteristic
1278C24—861no—
1279C2×Q8—21no—
1280C2×Q8—21no—
1281C2×Q8—431no—
1282C2×Q8—431no—
1283C2×Q8—431no—
1284C2×Q8—434no—
1285C2×Q8—431no—
1286C2×Q8—861no—
1287C2×Q8—861no—
1288C2×Q8—861no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—861no—
1295C2×Q8—862no—
1296C2×Q8—861no—
1297C2×Q8—861no—
1298C2×Q8—3442no—
1299C2×Q8—3442no—
1300C2×Q8D4×D4311yescharacteristic
1301C2×Q8C23×D4311yescharacteristic
1302C2×D4—434no—
1303C2×D4—431no—
1304C2×D4—862no—
1305C2×D4—861no—
1306C2×D4C23×D4311yescharacteristic
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—431no—
1311C22×C4—431no—
1312C22×C4—431no—
1313C22×C4—861no—
1314C22×C4—861no—
1315C22×C4—861no—
1316C22×C4—861no—
1317C22×C4—861no—
1318C22×C4—861no—
1319C22×C4—861no—
1320C22×C4—861no—
1321C22×C4—861no—
1322C22×C4—861no—
1323C22×C4—861no—
1324C22×C4—861no—
1325C22×C4—3442no—
1326SD16—434no—
1327SD16—434no—
1328SD16—434no—
1329SD16Q8×D4314yescomplemented
1330M16—862no—
1331M16—862no—
1332C2×C8—431no—
1333C2×C8—434no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8—862no—
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C2×C8C23×D4311yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1412C4⋊C4D4×D4311yescharacteristic
1413C4⋊C4D4×D4311yescharacteristic
1414C4⋊C4C23×D4311yescharacteristic
1415C4⋊C4C23×D4311yescharacteristic
1416C4⋊C4C23×D4311yescharacteristic
1417C4⋊C4C23×D4311yescharacteristic
1418C4⋊C4C23×D4311yescharacteristic
1419C4⋊C4C23×D4311yescharacteristic
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—431no—
1424C22⋊C4—431no—
1425C22⋊C4—431no—
1426C22⋊C4—431no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C42—21no—
1441C42—21no—
1442C42—21no—
1443C42—431no—
1444C42—431no—
1445C42—431no—
1446C42—431no—
1447C42—431no—
1448C42—861no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42—861no—
1460C42—861no—
1461C42C23×D4311yescharacteristic
1462C42C23×D4311yescharacteristic
1463C42C23×D4311yescharacteristic
1464C23—21no—
1465C23—431no—
1466C23—864no—
1467C23—861no—
1468C23—3441no—
1469C23—3441no—
1470Q8—21no—
1471Q8—41no—
1472Q8—81no—
1473Q8—81no—
1474Q8—432no—
1475Q8—864no—
1476Q8—862no—
1477Q8—862no—
1478Q8—861no—
1479Q8—3441no—
1480Q8—3441no—
1481Q8—3441no—
1482Q8—3441no—
1483Q8—3441no—
1484Q8—3441no—
1485Q8—3441no—
1486Q8—3441no—
1487Q8—1721no—
1488Q8—1722no—
1489Q8—1722no—
1490Q8C2×Q8×D4312yes—
1491D4—21no—
1492D4—432no—
1493D4—864no—
1494D4—861no—
1495D4C2×Q8×D4312yes—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—81no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—431no—
1507C2×C4—431no—
1508C2×C4—432no—
1509C2×C4—432no—
1510C2×C4—431no—
1511C2×C4—431no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—431no—
1515C2×C4—862no—
1516C2×C4—864no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—3441no—
1525C2×C4—3441no—
1526C2×C4—3441no—
1527C2×C4—3441no—
1528C2×C4—3441no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—3441no—
1533C2×C4—1721no—
1534C2×C4—1722no—
1535C2×C4—1722no—
1536C2×C4C2×D4×D4311yescharacteristic
1537C2×C4C2×D4×D4311yescharacteristic
1538C2×C4C2×D4×D4311yescharacteristic
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C24×D4311yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—432no—
1547C8—861no—
1548C8—861no—
1549C8—861no—
1550C8C2×Q8×D4312yes—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—432no—
1555C22—861no—
1556C22—861no—
1557C22—862no—
1558C22—3444no—
1559C22—1721no—
1560C22—1721no—
1561C22C22×D4×D4311yescharacteristic
1562C4—22no—
1563C4—21no—
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—432no—
1576C4—432no—
1577C4—862no—
1578C4—861no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—1721no—
1584C4—1721no—
1585C4—1721no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4C22×Q8×D4311yescharacteristic
1590C42−1+4×D4311yescharacteristic
1591C2—42no—
1592C2—862no—
1593C2—1722no—
1594C2D4×Q8×D4311yescharacteristic
1595C2#577×D4311yescharacteristic
1596C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3388C2
socleC22×C43C23×D4
prime radicalC2×D4×D43C23
hypercenter#3388D43
hypocenterC43#61371
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #19148402C2semidirect
3. #19147546C2semidirect
4. #19147542C2semidirect
5. #19147536C2semidirect
6. #19147517C2semidirect
7. #19147513C2semidirect
8. #19147506C2semidirect
9. #19147502C2semidirect
10. #19147473C2semidirect
11. #19147473C2semidirect
12. #19147470C2semidirect
13. #19147466C2semidirect
14. #19147465C2semidirect
15. #19147465C2semidirect
16. #19147454C2semidirect
17. #19147450C2semidirect
18. #19145122C2semidirect
19. #19145122C2semidirect
20. #19145108C2semidirect
21. #19144434C2semidirect
22. #19144430C2semidirect
25. #19144398C2semidirect
27. #19143526C2semidirect
31. C43×#3388C2semidirect
33. Q8×Dic86C22semidirect
35. #14583629C22semidirect
37. #14583627C22semidirect
40. #14583626C22semidirect
41. #14583626C22semidirect
42. #14583625C22semidirect
43. #14583625C22semidirect
76. #14583308C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583303C22semidirect
83. #14583303C22semidirect
84. #14583301C22semidirect
85. #14583300C22semidirect
86. #14583300C22semidirect
87. #14583298C22semidirect
88. #14583298C22semidirect
89. #14583298C22semidirect
90. #14583298C22semidirect
91. #14583296C22semidirect
92. #14583296C22semidirect
93. #14583296C22semidirect
94. #14583296C22semidirect
95. #14583295C22semidirect
96. #14583295C22semidirect
97. #14583209C22semidirect
98. #14583209C22semidirect
99. #14583207C22semidirect
100. #14583207C22semidirect
101. #14583206C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
104. #14583204C22semidirect
105. #14583203C22semidirect
106. #14583203C22semidirect
117. #14583194C22semidirect
118. #14583193C22semidirect
119. #14583193C22semidirect
120. #14583192C22semidirect
121. #14583192C22semidirect
122. #14583191C22semidirect
128. #14583185C22semidirect
129. #14583183C22semidirect
130. #14583183C22semidirect
131. #14583182C22semidirect
132. #14583182C22semidirect
139. #14583029C22semidirect
140. #14583027C22semidirect
141. #14583027C22semidirect
142. Q8×C43⋊C8C22semidirect
143. #14583023C22semidirect
144. #14583023C22semidirect
145. #14583023C22semidirect
188. C43×#557C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#499C22semidirect
193. C43×#479C22semidirect
194. C43×#479C22semidirect
198. C43×#475C22semidirect
199. C43×#446C22semidirect
211. SD16×D43Q8semidirect
494. Q8×D43C2×Q8semidirect
527. SD16×C43C2×Q8semidirect
566. #10621884C2×Q8semidirect
567. #10621883C2×Q8semidirect
660. #10621873C2×Q8semidirect
664. C8×D43C2×Q8semidirect
798. #3388D43semidirect
842. #557C2×D43semidirect
882. #501C2×D43semidirect
883. #501C2×D43semidirect
893. #499C2×D43semidirect
910. #479C2×D43semidirect
911. #479C2×D43semidirect
941. #475C2×D43semidirect
951. #446C2×D43semidirect
1001. C43#61371semidirect
1329. SD16Q8×D43semidirect

Maximal subgroups

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

subgroupindex
#191484022
#191483942
#191475462
#191475422
#191475362
#191475172
#191475132
#191475062
#191475022
#191474732
#191474702
#191474662
#191474652
#191474542
#191474502
#191451222
#191451082
#191444342
#191444302
#191444252
#191444212
#191443982
#191443902
#191435262
#191434512
C4×SD16×D432
C43×#33882
#6137143