Finite Group Databasebeta

← #25979923

Subgroups — #25979923

Order 11008.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148611C211yesmaximal, characteristic, complemented
2#19148587C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147524C211yesmaximal, characteristic, complemented
5#19147440C211yesmaximal, characteristic, complemented
6#19147338C211yesmaximal, characteristic, complemented
7#19147206C211yesmaximal, characteristic, complemented
8#19147136C211yesmaximal, characteristic, complemented
9#19146876C211yesmaximal, characteristic, complemented
10#19146846C211yesmaximal, characteristic, complemented
11#19146775C211yesmaximal, characteristic, complemented
12#19146704C211yesmaximal, characteristic, complemented
13#19146659C211yesmaximal, characteristic, complemented
14#19146640C211yesmaximal, characteristic, complemented
15#19146249C211yesmaximal, characteristic, complemented
16#19146170C211yesmaximal, characteristic, complemented
17#19146162C211yesmaximal, characteristic, complemented
18#19145256C211yesmaximal, characteristic, complemented
19#19145205C211yesmaximal, characteristic, complemented
20#19145203C211yesmaximal, characteristic, complemented
21#19144891C211yesmaximal, characteristic, complemented
22#19144875C211yesmaximal, characteristic, complemented
23#19144827C211yesmaximal, characteristic, complemented
24#19144819C211yesmaximal, characteristic, complemented
25#19144727C211yesmaximal, characteristic, complemented
26#19144709C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143462C211yesmaximal, characteristic, complemented
29#19143436C211yesmaximal, characteristic, complemented
30#19143417C211yesmaximal, characteristic, complemented
31C43×#3348C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C22×Dic172C2211yescharacteristic
35#14583629C2211yescharacteristic
36#14583626C2211yescharacteristic
37#14583621C2211yescharacteristic
38#14583619C2211yescharacteristic
39#14583618—21no—
40#14583618—21no—
41#14583617—21no—
42#14583617—21no—
43#14583617C2211yescharacteristic
44#14583617C2211yescharacteristic
45#14583613—21no—
46#14583605—21no—
47#14583604C2211yescharacteristic
48#14583594—21no—
49#14583593C2211yescharacteristic
50#14583585—21no—
51D4×Dic86C2211yescharacteristic
52#14583562C2211yescharacteristic
53#14583559C2211yescharacteristic
54#14583558C2211yescharacteristic
55#14583555C2211yescharacteristic
56#14583555C2211yescharacteristic
57#14583522C2211yescharacteristic
58#14583517—21no—
59#14583516C2211yescharacteristic
60#14583516C2211yescharacteristic
61#14583513—21no—
62#14583513—21no—
63#14583509C2211yescharacteristic
64#14583508—21no—
65#14583454C2211yescharacteristic
66#14583452—21no—
67#14583434C2211yescharacteristic
68#14583432—21no—
69#14583431C2211yescharacteristic
70#14583430—21no—
71#14583427—21no—
72#14583380C2211yescharacteristic
73#14583376C2211yescharacteristic
74#14583376C2211yescharacteristic
75#14583376C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583296C2211yescharacteristic
80#14583293C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583280C2211yescharacteristic
83#14583269C2211yescharacteristic
84#14583261C2211yescharacteristic
85#14583260C2211yescharacteristic
86#14583257C2211yescharacteristic
87#14583252C2211yescharacteristic
88#14583248C2211yescharacteristic
89#14583242C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic
92#14583231C2211yescharacteristic
93#14583231C2211yescharacteristic
94#14583229C2211yescharacteristic
95#14583225C2211yescharacteristic
96#14583223C2211yescharacteristic
97#14583209C2211yescharacteristic
98#14583205C2211yescharacteristic
99#14583203C2211yescharacteristic
100#14583193C2211yescharacteristic
101#14583193C2211yescharacteristic
102#14583188C2211yescharacteristic
103#14583183C2211yescharacteristic
104#14583183C2211yescharacteristic
105#14583183C2211yescharacteristic
106#14583181C2211yescharacteristic
107#14583158C2211yescharacteristic
108#14583158C2211yescharacteristic
109#14583157C2211yescharacteristic
110#14583155C2211yescharacteristic
111#14583150C2211yescharacteristic
112#14583146C2211yescharacteristic
113#14583146C2211yescharacteristic
114#14583138C2211yescharacteristic
115#14583128C2211yescharacteristic
116#14583126C2211yescharacteristic
117#14583124C2211yescharacteristic
118#14583124C2211yescharacteristic
119#14583122C2211yescharacteristic
120#14583120C2211yescharacteristic
121#14583120C2211yescharacteristic
122#14583120C2211yescharacteristic
123#14583114C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583110C2211yescharacteristic
126#14583109C2211yescharacteristic
127#14583108C2211yescharacteristic
128#14583108C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583062C2211yescharacteristic
131#14583057C2211yescharacteristic
132#14583057C2211yescharacteristic
133#14583056C2211yescharacteristic
134#14583056C2211yescharacteristic
135#14583054C2211yescharacteristic
136#14583054C2211yescharacteristic
137#14583045C2211yescharacteristic
138#14583042C2211yescharacteristic
139#14583040C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583028C2211yescharacteristic
142#14583027C2211yescharacteristic
143#14583008C2211yescharacteristic
144#14583007C2211yescharacteristic
145#14583005C2211yescharacteristic
146#14583005C2211yescharacteristic
147#14583005C2211yescharacteristic
148#14583005C2211yescharacteristic
149#14583005C2211yescharacteristic
150#14583005C2211yescharacteristic
151#14583004C2211yescharacteristic
152#14583003C2211yescharacteristic
153#14583003C2211yescharacteristic
154#14582999C2211yescharacteristic
155#14582998C2211yescharacteristic
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic
158#14582993C2211yescharacteristic
159#14582993C2211yescharacteristic
160#14582993C2211yescharacteristic
161#14582993C2211yescharacteristic
162#14582993C2211yescharacteristic
163#14582993C2211yescharacteristic
164#14582991C2211yescharacteristic
165#14582990C2211yescharacteristic
166SD16×Dic43C2211yescharacteristic
167#14582986C2211yescharacteristic
168#14582986C2211yescharacteristic
169#14582986C2211yescharacteristic
170#14582975C2211yescharacteristic
171#14582974C2211yescharacteristic
172#14582971C2211yescharacteristic
173#14582970C2211yescharacteristic
174#14582967C2211yescharacteristic
175#14582957C2211yescharacteristic
176#14582957C2211yescharacteristic
177#14582955C2211yescharacteristic
178#14582940C2211yescharacteristic
179#14582907C2211yescharacteristic
180#14582907C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582893C2211yescharacteristic
184C2×#13063248C2211yescharacteristic
185#14582857C2211yescharacteristic
186#14582854C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic
193C43×#482C2211yescharacteristic
194C43×#481C2211yescharacteristic
195C43×#478C2211yescharacteristic
196C43×#475C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#427C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209#13063358—24no—
210#13063354—24no—
211C2×Dic172—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063324—21no—
233#13063324—21no—
234#13063324—21no—
235#13063324—21no—
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063323—21no—
240#13063323—21no—
241#13063323C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318D411yescharacteristic
258#13063318D411yescharacteristic
259#13063316—21no—
260#13063316—21no—
261#13063316D411yescharacteristic
262#13063316C2311yescharacteristic
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063314C2311yescharacteristic
268#13063313C2311yescharacteristic
269#13063312—21no—
270#13063312—21no—
271#13063312D411yescharacteristic
272#13063312C2311yescharacteristic
273#13063312C2311yescharacteristic
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063310—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307D411yescharacteristic
285#13063307D411yescharacteristic
286#13063306—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305D411yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063301—21no—
311#13063300C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296D411yescharacteristic
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353#13063287—21no—
354#13063287—21no—
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43C2311yescharacteristic
362C4×C22⋊D43C2311yescharacteristic
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063284—21no—
367#13063284C2311yescharacteristic
368#13063284C2311yescharacteristic
369#13063283—21no—
370#13063283—21no—
371#13063283—21no—
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063281—21no—
375#13063281—21no—
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380#13063281—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C2×C4×Dic43—21no—
385C42×D43—21no—
386C42×D43C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501Q8×D43—22no—
502Q8×D43—41no—
503#10621900—22no—
504#10621900—41no—
505#10621898—22no—
506#10621898—41no—
507C2×D172—21no—
508C2×D172C2411yescharacteristic
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43C2×D411yescharacteristic
515C2×C4×D43C2×D411yescharacteristic
516C2×C4×D43C2411yescharacteristic
517C2×Dic86—22no—
518C2×Dic86—22no—
519C2×Dic86—22no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—41no—
528C2×Dic86—41no—
529C2×Dic86—41no—
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536SD16×C43—22no—
537M16×C43—22no—
538C2×C8×C43—22no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43C2×D411yescharacteristic
566C22⋊C4×C43C2×D411yescharacteristic
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43C2×D411yescharacteristic
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621885—22no—
587#10621885—41no—
588#10621885—41no—
589#10621883—22no—
590#10621883—41no—
591#10621882—41no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669#10621877—41no—
670C2×C43⋊C8—41no—
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675Dic172—22no—
676Dic172—22no—
677Dic172—22no—
678Dic172—22no—
679Dic172—41no—
680Dic172#4114yes—
681#10621873—22no—
682#10621873—22no—
683#10621873—41no—
684#10621872—22no—
685#10621872—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C23×C43C22×D411yescharacteristic
689C22×D43—21no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—81no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—41no—
697D4×C43—81no—
698D4×C43—81no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—42no—
711C2×C4×C43—81no—
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C2511yescharacteristic
717C22⋊D43—41no—
718C22⋊D43—41no—
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—42no—
730C2×Dic43—42no—
731C2×Dic43—42no—
732C2×Dic43—42no—
733C2×Dic43—81no—
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741D172—21no—
742D172—21no—
743D172—42no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—41no—
747C4×D43—41no—
748C4×D43—42no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753Dic86—21no—
754Dic86—21no—
755Dic86—21no—
756Dic86—21no—
757Dic86—21no—
758Dic86—21no—
759Dic86—21no—
760Dic86—21no—
761Dic86—41no—
762Dic86—42no—
763Dic86—42no—
764Dic86—42no—
765Dic86—42no—
766Dic86—81no—
767Dic86—81no—
768Dic86—81no—
769Dic86C2×#4112yes—
770Dic86C2×#4112yes—
771C8×C43—21no—
772C8×C43—21no—
773C8×C43—21no—
774C8×C43C2×#4112yes—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8—21no—
779#61511—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43C23×D411yescharacteristic
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43C22×#4111yescharacteristic
808C4×C43#58511yescharacteristic
809Dic43—21no—
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—22no—
816Dic43—22no—
817Dic43—21no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823#3518—431no—
824#3516—431no—
825#3402—431no—
826#3387—431no—
827#3377—431no—
828#3369—431no—
829#3356—431no—
830#3350—431no—
831#3348D4311yescharacteristic, complemented
832#3328—431no—
833#3326—431no—
834#3321—431no—
835#3316—431no—
836#3313—431no—
837#3312—431no—
838#3277—431no—
839#3270—431no—
840#3270—431no—
841#3178—431no—
842#3173—431no—
843#3172—431no—
844#3127—431no—
845#3125—431no—
846#3121—431no—
847#3121—431no—
848#3113—431no—
849#3111—431no—
850#2967—431no—
851#2950—431no—
852#2947—431no—
853C4×#137—431no—
854C2×C43—41no—
855C2×C43—41no—
856C2×C43—81no—
857C2×C43D4×#4111yescharacteristic
858C2×C43#358611yescharacteristic
859C2×C43#358611yescharacteristic
860D43—41no—
861D43—81no—
862C2×#137—431no—
863C2×#137—431no—
864C22×Q16—431no—
865Q82—431no—
866#557—431no—
867#556—431no—
868#556—431no—
869#556—431no—
870#556—431no—
871#556—861no—
872#556—861no—
873#556—861no—
874#556—861no—
875#555—861no—
876#555C2×D4311yescharacteristic
877#554—431no—
878#554—861no—
879#553—431no—
880#553—861no—
881#552—861no—
882#552C2×D4311yescharacteristic
883D4×Q8—431no—
884D4×Q8—431no—
885#548—431no—
886#548—431no—
887#548—431no—
888#548—431no—
889#542—431no—
890#542—431no—
891#542—431no—
892#542—861no—
893#542—861no—
894#542—861no—
895#541—431no—
896#541—861no—
897#533—431no—
898#533—861no—
899#529—431no—
900#529—431no—
901#529—861no—
902#529—861no—
903#529—861no—
904#520—431no—
905#519—431no—
906#519—431no—
907#519—431no—
908C4×#41—431no—
909C2×C4×Q8—431no—
910#501—431no—
911#501C2×D4311yescharacteristic
912#498—431no—
913#497—431no—
914#497—431no—
915#495—431no—
916#491—431no—
917#489—431no—
918#489—431no—
919#489—431no—
920#488—431no—
921#487—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic
926#485C2×D4311yescharacteristic
927#483—431no—
928#483—431no—
929#483—431no—
930#482—431no—
931#482—431no—
932#482C2×D4311yescharacteristic
933#481C2×D4311yescharacteristic
934#479—431no—
935#479—431no—
936#479—431no—
937#478C2×D4311yescharacteristic
938#477—431no—
939#477—431no—
940#476—431no—
941#475—431no—
942#475—431no—
943#475—431no—
944#475—431no—
945#475C2×D4311yescharacteristic
946#470—431no—
947#470—431no—
948#470—431no—
949#470—431no—
950#469—431no—
951#468—431no—
952#468—431no—
953#468C2×D4311yescharacteristic
954#467—431no—
955#465—431no—
956#465—431no—
957#465C2×D4311yescharacteristic
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#463—431no—
965#463—431no—
966#462—431no—
967#462—431no—
968#462—431no—
969#462—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#451—431no—
977#451—431no—
978#449—431no—
979#449—431no—
980#448—431no—
981#448—431no—
982#446—431no—
983#446—431no—
984#442—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#440—431no—
996#440—431no—
997#440—431no—
998#440—431no—
999#440C2×D4311yescharacteristic
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012#436—431no—
1013#436—431no—
1014#435—431no—
1015#435—431no—
1016#435—431no—
1017#435C2×D4311yescharacteristic
1018#433—431no—
1019#433—431no—
1020#432—431no—
1021#428—431no—
1022#428C2×D4311yescharacteristic
1023#427C2×D4311yescharacteristic
1024#419—431no—
1025#419—431no—
1026#419—431no—
1027#417—431no—
1028#416—431no—
1029C2×#103—431no—
1030#405—431no—
1031#405—431no—
1032C4×M16—431no—
1033C43#6151111yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41—431no—
1036C22×Q8—431no—
1037C22×Q8—431no—
1038C22×Q8—431no—
1039C22×Q8—431no—
1040#137—864no—
1041#137—864no—
1042C2×Q16—431no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—864no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16C22×D4311yescharacteristic
1058C2×D8—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16C22×D4311yescharacteristic
1063C22×C8—431no—
1064C22×C8C22×D4311yescharacteristic
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—431no—
1070C4⋊Q8—861no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077#126—21no—
1078#126—431no—
1079#126—431no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#125—21no—
1096#125—431no—
1097#125—431no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125C22×D4311yescharacteristic
1105#124—21no—
1106#124—21no—
1107#124—431no—
1108#124—431no—
1109#124—431no—
1110#124—431no—
1111#124—431no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#123—21no—
1122#123—431no—
1123#123—431no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—21no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121C22×D4311yescharacteristic
1164#121C22×D4311yescharacteristic
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8C22×D4311yescharacteristic
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4C22×D4311yescharacteristic
1214C4×D4C22×D4311yescharacteristic
1215#117—21no—
1216#117—21no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117C22×D4311yescharacteristic
1233#117C22×D4311yescharacteristic
1234#117C22×D4311yescharacteristic
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C42—431no—
1240C2×C42—861no—
1241C2×C42—861no—
1242#107—431no—
1243#107—431no—
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#107C22×D4311yescharacteristic
1247#107C22×D4311yescharacteristic
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106C22×D4311yescharacteristic
1254#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8C22×D4311yescharacteristic
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102C22×D4311yescharacteristic
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8C22×D4311yescharacteristic
1301C22⋊C8C22×D4311yescharacteristic
1302#97—431no—
1303#97—431no—
1304#97—431no—
1305#97—431no—
1306#97—431no—
1307#97C22×D4311yescharacteristic
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312#41—862no—
1313#41—862no—
1314#41—1721no—
1315#41—1721no—
1316C2×Q8—21no—
1317C2×Q8—431no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—862no—
1328C2×Q8—862no—
1329C2×Q8—862no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—862no—
1334C2×Q8—1721no—
1335C2×Q8—1721no—
1336C2×Q8—1721no—
1337C2×Q8—1721no—
1338C2×Q8C23×D4311yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4D4×D4311yescharacteristic
1349C2×D4C23×D4311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367Q16—434no—
1368Q16—862no—
1369Q16—862no—
1370Q16—862no—
1371Q16—862no—
1372Q16—862no—
1373Q16—1721no—
1374Q16—1721no—
1375Q16—1721no—
1376SD16—22no—
1377SD16—862no—
1378SD16—862no—
1379SD16—862no—
1380SD16—1721no—
1381SD16—1721no—
1382D8—1721no—
1383M16—22no—
1384M16—862no—
1385M16—1721no—
1386M16—1721no—
1387C2×C8—22no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—431no—
1391C2×C8—431no—
1392C2×C8—1721no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
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⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4D4×D4311yescharacteristic
1447C4⋊C4C23×D4311yescharacteristic
1448C4⋊C4C23×D4311yescharacteristic
1449C4⋊C4C23×D4311yescharacteristic
1450C4⋊C4C23×D4311yescharacteristic
1451C4⋊C4C23×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4D4×D4311yescharacteristic
1490C22⋊C4D4×D4311yescharacteristic
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—431no—
1496C42—431no—
1497C42—431no—
1498C42—431no—
1499C42—431no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—431no—
1519C23—861no—
1520C23C2×D4×D4311yescharacteristic
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—81no—
1525Q8—432no—
1526Q8—432no—
1527Q8—861no—
1528Q8—861no—
1529Q8—861no—
1530Q8—861no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—3441no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—1721no—
1539Q8—1722no—
1540Q8—1722no—
1541Q8—1722no—
1542Q8—1722no—
1543D4—21no—
1544D4—21no—
1545D4—41no—
1546D4—81no—
1547D4—81no—
1548D4—861no—
1549D4—861no—
1550D4—3441no—
1551D4—1722no—
1552D4—1721no—
1553D4—1721no—
1554D4—1722no—
1555D4—1722no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—431no—
1574C2×C4—431no—
1575C2×C4—431no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—1721no—
1590C2×C4—1721no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4—1722no—
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C8#41×D4312yes—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—861no—
1638C4—862no—
1639C4—862no—
1640C4—861no—
1641C4—861no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C2×#41×D4311yescharacteristic
1652C4#1458373611yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—81no—
1656C2—3441no—
1657C2—1721no—
1658C2#1914808211yescharacteristic
1659C2#1914937711yescharacteristic
1660C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3348C2
socleC22×C43C23×D4
hypercenter#3348D43
hypocenterC43#61511
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #19148611C2semidirect
2. #19148587C2semidirect
3. #19147675C2semidirect
4. #19147524C2semidirect
5. #19147440C2semidirect
6. #19147338C2semidirect
7. #19147206C2semidirect
8. #19147136C2semidirect
9. #19146876C2semidirect
10. #19146846C2semidirect
11. #19146775C2semidirect
12. #19146704C2semidirect
13. #19146659C2semidirect
14. #19146640C2semidirect
15. #19146249C2semidirect
16. #19146170C2semidirect
17. #19146162C2semidirect
18. #19145256C2semidirect
19. #19145205C2semidirect
20. #19145203C2semidirect
21. #19144891C2semidirect
22. #19144875C2semidirect
23. #19144827C2semidirect
24. #19144819C2semidirect
25. #19144727C2semidirect
26. #19144709C2semidirect
27. #19143577C2semidirect
28. #19143462C2semidirect
29. #19143436C2semidirect
30. #19143417C2semidirect
31. C43×#3348C2semidirect
831. #3348D43semidirect
1033. C43#61511semidirect

Maximal subgroups

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

subgroupindex
#191486112
#191485872
#191476752
#191475242
#191474402
#191473382
#191472062
#191471362
#191468762
#191468462
#191467752
#191467042
#191466592
#191466402
#191462492
#191461702
#191461622
#191452562
#191452052
#191452032
#191448912
#191448752
#191448272
#191448192
#191447272
#191447092
#191435772
#191434622
#191434362
#191434172
C43×#33482
#6151143