Finite Group Databasebeta

← #25987297

Subgroups — #25987297

Order 11008.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149081C211yesmaximal, characteristic, complemented
2#19148397C211yesmaximal, characteristic, complemented
3#19147547C211yesmaximal, characteristic, complemented
4#19147535C211yesmaximal, characteristic, complemented
5#19147502C211yesmaximal, characteristic, complemented
6#19147489C211yesmaximal, characteristic, complemented
7#19147475C211yesmaximal, characteristic, complemented
8#19147473C211yesmaximal, characteristic, complemented
9#19147457C211yesmaximal, characteristic, complemented
10#19147452C211yesmaximal, characteristic, complemented
11#19147425C211yesmaximal, characteristic, complemented
12#19147421C211yesmaximal, characteristic, complemented
13#19147379C211yesmaximal, characteristic, complemented
14#19147310C211yesmaximal, characteristic, complemented
15#19147243C211yesmaximal, characteristic, complemented
16#19147241C211yesmaximal, characteristic, complemented
17#19147241C211yesmaximal, characteristic, complemented
18#19147236C211yesmaximal, characteristic, complemented
19#19145889C211yesmaximal, characteristic, complemented
20#19145863C211yesmaximal, characteristic, complemented
21#19145859C211yesmaximal, characteristic, complemented
22#19145771C211yesmaximal, characteristic, complemented
23#19145752C211yesmaximal, characteristic, complemented
24#19144848C211yesmaximal, characteristic, complemented
25#19144843C211yesmaximal, characteristic, complemented
26#19144774C211yesmaximal, characteristic
27#19144773C211yesmaximal, characteristic
28#19144639C211yesmaximal, characteristic
29#19144600C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3244C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583629C2211yescharacteristic, complemented
35#14583627C2211yescharacteristic, complemented
36#14583625C2211yescharacteristic, complemented
37#14583624C2211yescharacteristic, complemented
38#14583619C2211yescharacteristic, complemented
39#14583618—21no—
40#14583618C2211yescharacteristic, complemented
41#14583618C2211yescharacteristic, complemented
42#14583610—21no—
43#14583610C2211yescharacteristic
44#14583610C2211yescharacteristic
45#14583608C2211yescharacteristic, complemented
46#14583605—21no—
47#14583605—21no—
48#14583605C2211yescharacteristic
49#14583605C2211yescharacteristic
50#14583605C2211yescharacteristic
51#14583605C2211yescharacteristic
52#14583586—21no—
53#14583564—21no—
54#14583564C2211yescharacteristic
55#14583564C2211yescharacteristic
56#14583530C2211yescharacteristic
57#14583528—21no—
58#14583524—21no—
59#14583524—21no—
60#14583516C2211yescharacteristic
61#14583511C2211yescharacteristic
62#14583509—21no—
63#14583509C2211yescharacteristic
64#14583506—21no—
65#14583506—21no—
66#14583452C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583430C2211yescharacteristic
70C22⋊Q8×D43—21no—
71C22⋊Q8×D43—21no—
72#14583373C2211yescharacteristic
73#14583373C2211yescharacteristic
74C2×#13063287C2211yescharacteristic
75#14583306C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583305C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583299C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583269C2211yescharacteristic, complemented
86#14583266C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583252C2211yescharacteristic, complemented
90#14583252C2211yescharacteristic, complemented
91#14583251C2211yescharacteristic, complemented
92#14583248C2211yescharacteristic, complemented
93#14583248C2211yescharacteristic, complemented
94#14583248C2211yescharacteristic, complemented
95#14583241C2211yescharacteristic
96#14583241C2211yescharacteristic
97#14583240C2211yescharacteristic
98#14583240C2211yescharacteristic
99#14583237C2211yescharacteristic
100#14583234C2211yescharacteristic
101#14583229C2211yescharacteristic
102#14583220C2211yescharacteristic
103#14583209C2211yescharacteristic, complemented
104#14583209C2211yescharacteristic, complemented
105#14583209C2211yescharacteristic, complemented
106#14583208C2211yescharacteristic, complemented
107#14583205C2211yescharacteristic, complemented
108#14583204C2211yescharacteristic, complemented
109#14583204C2211yescharacteristic, complemented
110#14583203C2211yescharacteristic, complemented
111#14583203C2211yescharacteristic, complemented
112#14583202C2211yescharacteristic
113#14583200C2211yescharacteristic
114#14583200C2211yescharacteristic
115#14583198C2211yescharacteristic
116#14583198C2211yescharacteristic
117#14583198C2211yescharacteristic
118#14583197C2211yescharacteristic, complemented
119#14583193C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583191C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic
123#14583188C2211yescharacteristic
124#14583188C2211yescharacteristic
125#14583187C2211yescharacteristic, complemented
126#14583187C2211yescharacteristic, complemented
127#14583186C2211yescharacteristic
128#14583183C2211yescharacteristic, complemented
129#14583183C2211yescharacteristic, complemented
130#14583183C2211yescharacteristic, complemented
131#14583181C2211yescharacteristic, complemented
132#14583178C2211yescharacteristic
133#14583177C2211yescharacteristic, complemented
134#14583176C2211yescharacteristic
135#14583113C2211yescharacteristic
136#14583113C2211yescharacteristic
137#14583113C2211yescharacteristic
138#14583113C2211yescharacteristic
139#14583111C2211yescharacteristic
140#14583111C2211yescharacteristic
141#14583105C2211yescharacteristic
142#14583105C2211yescharacteristic
143#14583103C2211yescharacteristic
144#14583103C2211yescharacteristic
145#14583103C2211yescharacteristic
146#14583103C2211yescharacteristic
147#14583052C2211yescharacteristic
148#14583052C2211yescharacteristic
149#14583049C2211yescharacteristic
150#14583032C2211yescharacteristic
151#14583028C2211yescharacteristic, complemented
152#14583028C2211yescharacteristic, complemented
153#14583027C2211yescharacteristic, complemented
154#14583027C2211yescharacteristic, complemented
155C8×Dic86C2211yescharacteristic, complemented
156C8×Dic86C2211yescharacteristic, complemented
157#14583023C2211yescharacteristic, complemented
158#14583023C2211yescharacteristic, complemented
159#14583009C2211yescharacteristic
160#14583008C2211yescharacteristic
161#14583002C2211yescharacteristic
162#14583001C2211yescharacteristic
163#14583001C2211yescharacteristic
164#14582998C2211yescharacteristic
165#14582998C2211yescharacteristic
166#14582997C2211yescharacteristic
167C4×#10621873C2211yescharacteristic
168C4×#10621873C2211yescharacteristic
169C4×#10621884C2211yescharacteristic
170#14582986C2211yescharacteristic
171#14582986C2211yescharacteristic
172#14582986C2211yescharacteristic
173#14582986C2211yescharacteristic
174#14582986C2211yescharacteristic
175#14582986C2211yescharacteristic
176#14582984C2211yescharacteristic
177#14582984C2211yescharacteristic
178#14582984C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#498C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic
195C43×#483C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#481C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#476C2211yescharacteristic, complemented
201C43×#475C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×Q8×D43—21no—
204C2×Q8×D43—21no—
205C22×D172C2311yescharacteristic
206C22×C4×D43—21no—
207C2×#10621873C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324D411yescharacteristic
220#13063324D411yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323—21no—
229#13063323—21no—
230#13063323C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063317—21no—
245#13063317—21no—
246#13063317C2311yescharacteristic
247#13063316—21no—
248#13063316—21no—
249#13063316—21no—
250#13063316D411yescharacteristic
251#13063316D411yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063312—21no—
267#13063312C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063306—21no—
270#13063306—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305—21no—
276#13063305—21no—
277#13063304—21no—
278#13063304—21no—
279#13063304—21no—
280#13063304—21no—
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
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#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302D411yescharacteristic
304#13063302D411yescharacteristic
305#13063302D411yescharacteristic
306#13063302D411yescharacteristic
307#13063301—21no—
308#13063301—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301—21no—
312#13063301—21no—
313Q8×Dic43—21no—
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43—21no—
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063284—21no—
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063281—21no—
357#13063281—21no—
358#13063281—21no—
359#13063281—21no—
360C2×Dic43⋊C4—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C2×(C2×D43)⋊C4—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C2×C4×Dic43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#106×C43C2311yescharacteristic
459#106×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C22×Dic43—21no—
489C22×Dic43—21no—
490C22×Dic43C2×D411yescharacteristic
491C22×Dic43C2×D411yescharacteristic
492Q8×D43—82no—
493Q8×D43—82no—
494C2×D172—21no—
495C2×D172—22no—
496C2×D172—22no—
497C2×D172C2411yescharacteristic
498C2×D172C2411yescharacteristic
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—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—82no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86C2×D411yescharacteristic
519C2×Dic86C2×D411yescharacteristic
520C2×Dic86C2×D411yescharacteristic
521C2×Dic86C2×D411yescharacteristic
522C2×Dic86C2411yescharacteristic
523C2×Dic86C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C4⋊C4×C43—21no—
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43C2×D411yescharacteristic
553C22⋊C4×C43C2×D411yescharacteristic
554C42×C43—21no—
555C42×C43—21no—
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567C22⋊Dic43C2×D411yescharacteristic
568C22⋊Dic43C2×D411yescharacteristic
569#10621884—22no—
570#10621884—22no—
571#10621882—22no—
572#10621882—22no—
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)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585C4⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
596C4⋊Dic43C2×D411yescharacteristic
597C4⋊Dic43C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2411yescharacteristic
651C4×Dic43C2411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621873—22no—
659#10621873—22no—
660#10621873—22no—
661#10621873—22no—
662C23×C43—21no—
663C23×C43C22×D411yescharacteristic
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—24no—
667C22×D43—81no—
668C22×D43—81no—
669Q8×C43—21no—
670Q8×C43—21no—
671Q8×C43—81no—
672Q8×C43—81no—
673Q8×C43—81no—
674D4×C43—21no—
675D4×C43—21no—
676D4×C43—81no—
677C2×C4×C43—21no—
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—21no—
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×C43C2511yescharacteristic
694C2×Dic43—22no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—41no—
702C2×Dic43—42no—
703C2×Dic43—81no—
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712D172—24no—
713D172—21no—
714D172—21no—
715D1722−1+412yes—
716D1722−1+412yes—
717C4×D43—42no—
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×D43—81no—
727C4×D43—81no—
728C4×D43—81no—
729Dic86—22no—
730Dic86—22no—
731Dic86—21no—
732Dic86—21no—
733Dic86—21no—
734Dic86—21no—
735Dic86—41no—
736Dic86—41no—
737Dic86—42no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic86—81no—
742Dic86—81no—
743C8×C43—21no—
744C8×C43—21no—
745C8×C43—21no—
746C8×C43—21no—
747C43⋊C8—21no—
748C43⋊C8—21no—
749C43⋊C8—21no—
750C43⋊C8—21no—
751#61864—431nomaximal, Sylow
752C22×C43—21no—
753C22×C43—21no—
754C22×C43—21no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43C23×D411yescharacteristic
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—84no—
766C4×C43—21no—
767C4×C43—21no—
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×C43—41no—
778C4×C43C2×2−1+411yescharacteristic
779C4×C43C2×2−1+411yescharacteristic
780Dic43—21no—
781Dic43—21no—
782Dic43—21no—
783Dic43—21no—
784Dic43—21no—
785Dic43—21no—
786Dic43—21no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43#57712yes—
794#3555—431no—
795#3501—431no—
796#3388—431no—
797#3388—431no—
798#3385—431no—
799#3384—431no—
800#3381—431no—
801#3381—431no—
802#3380—431no—
803Q8×SD16—431no—
804#3376—431no—
805#3376—431no—
806#3372—431no—
807#3367—431no—
808#3360—431no—
809#3360—431no—
810#3360—431no—
811#3359—431no—
812#3244—431no—
813#3244D4311yescharacteristic, complemented
814#3242—431no—
815#3242—431no—
816#3233—431no—
817#3231—431no—
818#3123—431no—
819#3123—431no—
820#3118—431no—
821#3118—431no—
822#3105—431no—
823#3101—431no—
824#2986—431no—
825C2×C43—41no—
826C2×C43—81no—
827C2×C43#348611yescharacteristic
828C2×C43C2×#57711yescharacteristic
829C2×C43#358411yescharacteristic
830D43—42no—
831D43—42no—
832#563—861no—
833#563—861no—
834Q82—431no—
835#557—431no—
836#557—431no—
837#557—431no—
838#556—431no—
839#556—431no—
840#556—431no—
841#556—861no—
842#554—431no—
843#554—431no—
844#554—431no—
845#554—431no—
846#554—431no—
847#554—431no—
848#554—431no—
849#554—861no—
850#554—861no—
851#554—861no—
852#552—861no—
853D4×Q8—431no—
854D4×Q8—431no—
855D4×Q8—861no—
856#544—431no—
857#544—861no—
858#544C2×D4311yescharacteristic
859#543—861no—
860#543—861no—
861#542—431no—
862#542C2×D4311yescharacteristic
863#541—431no—
864#541—431no—
865#541—861no—
866#541—861no—
867#541—861no—
868#533—431no—
869#533—431no—
870#533—431no—
871#529—431no—
872C2×C22⋊Q8—861no—
873C2×C22⋊Q8—861no—
874#518—431no—
875#518—431no—
876C2×C4×D4—431no—
877#501—431no—
878#501—431no—
879#501—431no—
880#501C2×D4311yescharacteristic, complemented
881#500—431no—
882#499—431no—
883#499—431no—
884#499—431no—
885#499—431no—
886#498—431no—
887#498—431no—
888#498C2×D4311yescharacteristic, complemented
889#491—431no—
890#491—431no—
891#489—431no—
892#489C2×D4311yescharacteristic, complemented
893#488—431no—
894#488—431no—
895#488—431no—
896#488C2×D4311yescharacteristic, complemented
897#487—431no—
898#487—431no—
899#487—431no—
900#487—431no—
901#485—431no—
902#485—431no—
903#485—431no—
904#485—431no—
905#485—431no—
906#485C2×D4311yescharacteristic
907#484—431no—
908#483—431no—
909#483C2×D4311yescharacteristic
910#482—431no—
911#482C2×D4311yescharacteristic
912#481C2×D4311yescharacteristic
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479—431no—
920#479—431no—
921#479—431no—
922#479C2×D4311yescharacteristic, complemented
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#478—431no—
929#478—431no—
930#478C2×D4311yescharacteristic, complemented
931#477—431no—
932#477—431no—
933#477—431no—
934#476—431no—
935#476—431no—
936#476—431no—
937#476—431no—
938#476—431no—
939#476—431no—
940#476C2×D4311yescharacteristic, complemented
941#475—431no—
942#475—431no—
943#475—431no—
944#475—431no—
945#475C2×D4311yescharacteristic, complemented
946#474—431no—
947#474—431no—
948#474—431no—
949#463—431no—
950#463—431no—
951#463—431no—
952#463—431no—
953#463—431no—
954#463—431no—
955#461—431no—
956#461—431no—
957#461—431no—
958#461—431no—
959#461—431no—
960#461—431no—
961#450—431no—
962#450—431no—
963#450—431no—
964#447—431no—
965#446—431no—
966#446—431no—
967#446—431no—
968#446—431no—
969C8×Q8—431no—
970C8×Q8—431no—
971C8×Q8—431no—
972C8×Q8—431no—
973#442—431no—
974#442—431no—
975#440—431no—
976#440—431no—
977#440—431no—
978#440—431no—
979#440—431no—
980#440—431no—
981C4×SD16—431no—
982C4×SD16—431no—
983C4×SD16—431no—
984C4×SD16—431no—
985C4×SD16—431no—
986C4×SD16—431no—
987C4×SD16—431no—
988C4×SD16—431no—
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993C4×D8—431no—
994C4×D8—431no—
995C4×D8—431no—
996C4×D8—431no—
997#433—431no—
998#433—431no—
999#433—431no—
1000#433C2×D4311yescharacteristic
1001#431—431no—
1002#431—431no—
1003C43#6186411yescharacteristic, complemented, Sylow
1004C22×Q8—861no—
1005C22×Q8—861no—
1006C22×D4—431no—
1007C23×C4—861no—
1008C2×SD16—431no—
1009C2×SD16—431no—
1010C2×SD16—431no—
1011C2×SD16—431no—
1012C2×SD16—431no—
1013C2×SD16—431no—
1014C2×D8—431no—
1015C2×D8—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—861no—
1029C4⋊Q8—861no—
1030C4⋊Q8—861no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8C22×D4311yescharacteristic
1035C4⋊Q8C22×D4311yescharacteristic
1036C4⋊Q8C22×D4311yescharacteristic
1037#126—21no—
1038#126—861no—
1039#126—861no—
1040#126—861no—
1041#126—861no—
1042#126—861no—
1043#126—861no—
1044#126—861no—
1045#126—861no—
1046#126—861no—
1047#126—861no—
1048#126—861no—
1049#126—861no—
1050#125—21no—
1051#125—431no—
1052#125—431no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
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#125—861no—
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#124—21no—
1076#124—431no—
1077#124—431no—
1078#124—861no—
1079#124C22×D4311yescharacteristic
1080#123—21no—
1081#123—861no—
1082#123—861no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—431no—
1089C22⋊Q8—431no—
1090C22⋊Q8—431no—
1091C22⋊Q8—431no—
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—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1129#121C22×D4311yescharacteristic
1130C4×Q8—431no—
1131C4×Q8—431no—
1132C4×Q8—431no—
1133C4×Q8—431no—
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—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
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—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4—861no—
1170C4×D4—861no—
1171C4×D4C22×D4311yescharacteristic
1172#117—431no—
1173#117—431no—
1174#117—861no—
1175#117—861no—
1176#117—861no—
1177#117—861no—
1178#117—861no—
1179#117C22×D4311yescharacteristic
1180#117C22×D4311yescharacteristic
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×C4⋊C4—861no—
1188C2×C4⋊C4C22×D4311yescharacteristic
1189C2×C22⋊C4—861no—
1190C2×C22⋊C4—861no—
1191C2×C22⋊C4—861no—
1192C2×C22⋊C4—861no—
1193C2×C22⋊C4—861no—
1194C2×C42—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#107C22×D4311yescharacteristic
1204#107C22×D4311yescharacteristic
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106C22×D4311yescharacteristic
1214#106C22×D4311yescharacteristic
1215#106C22×D4311yescharacteristic
1216#106C22×D4311yescharacteristic
1217#106C22×D4311yescharacteristic
1218#106C22×D4311yescharacteristic
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8—431no—
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8—431no—
1229C4⋊C8C22×D4311yescharacteristic
1230C4⋊C8C22×D4311yescharacteristic
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
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#103C22×D4311yescharacteristic
1246#103C22×D4311yescharacteristic
1247#103C22×D4311yescharacteristic
1248#103C22×D4311yescharacteristic
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102C22×D4311yescharacteristic
1260#102C22×D4311yescharacteristic
1261#102C22×D4311yescharacteristic
1262#102C22×D4311yescharacteristic
1263C22⋊C8—431no—
1264C22⋊C8—431no—
1265C22⋊C8C22×D4311yescharacteristic
1266C22⋊C8C22×D4311yescharacteristic
1267#97—431no—
1268#97—431no—
1269#97—431no—
1270#97C22×D4311yescharacteristic
1271C4×C8—431no—
1272C4×C8—431no—
1273C4×C8—431no—
1274C4×C8—431no—
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8—431no—
1278C4×C8C22×D4311yescharacteristic
1279C24—861no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—431no—
1284C2×Q8—431no—
1285C2×Q8—431no—
1286C2×Q8—431no—
1287C2×Q8—431no—
1288C2×Q8—431no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—861no—
1295C2×Q8—3442no—
1296C2×Q8—3442no—
1297C2×Q8C23×D4311yescharacteristic
1298C2×D4—21no—
1299C2×D4—431no—
1300C2×D4—431no—
1301C2×D4—862no—
1302C2×D4—862no—
1303C2×D4—861no—
1304C2×D4C23×D4311yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—431no—
1308C22×C4—431no—
1309C22×C4—861no—
1310C22×C4—861no—
1311C22×C4—861no—
1312C22×C4—861no—
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—3442no—
1324C22×C4C23×D4311yescharacteristic
1325SD16—862no—
1326SD16—862no—
1327SD16—862no—
1328SD16—862no—
1329SD16—862no—
1330SD16—862no—
1331D8—862no—
1332D8—862no—
1333C2×C8—431no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8C23×D4311yescharacteristic
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C4⋊C4—21no—
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—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
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—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1406C4⋊C4D4×D4311yescharacteristic
1407C4⋊C4C23×D4311yescharacteristic
1408C4⋊C4C23×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C4⋊C4C23×D4311yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—431no—
1420C22⋊C4—431no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
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—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4D4×D4311yescharacteristic
1443C22⋊C4D4×D4311yescharacteristic
1444C42—21no—
1445C42—21no—
1446C42—431no—
1447C42—431no—
1448C42—431no—
1449C42—431no—
1450C42—431no—
1451C42—431no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42—861no—
1460C42—861no—
1461C42C23×D4311yescharacteristic
1462C42C23×D4311yescharacteristic
1463C23—21no—
1464C23—864no—
1465C23—861no—
1466C23—861no—
1467C23—3441no—
1468C23—3441no—
1469C23C2×D4×D4311yescharacteristic
1470Q8—21no—
1471Q8—21no—
1472Q8—81no—
1473Q8—81no—
1474Q8—81no—
1475Q8—862no—
1476Q8—862no—
1477Q8—861no—
1478Q8—861no—
1479Q8—861no—
1480Q8—861no—
1481Q8—3441no—
1482Q8—3441no—
1483Q8—3441no—
1484Q8—3441no—
1485Q8—3441no—
1486Q8—1721no—
1487Q8—1721no—
1488Q8—1722no—
1489D4—21no—
1490D4—21no—
1491D4—81no—
1492D4—432no—
1493D4—432no—
1494D4—864no—
1495D4—861no—
1496D4—861no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—431no—
1509C2×C4—431no—
1510C2×C4—431no—
1511C2×C4—431no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—431no—
1515C2×C4—431no—
1516C2×C4—862no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—3441no—
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—3441no—
1534C2×C4—1722no—
1535C2×C4—1722no—
1536C2×C4—1722no—
1537C2×C4—1721no—
1538C2×C4C2×D4×D4311yescharacteristic
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C2×D4×D4311yescharacteristic
1543C2×C4C24×D4311yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—861no—
1549C8—861no—
1550C8—861no—
1551C8—861no—
1552C22—21no—
1553C22—21no—
1554C22—21no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—862no—
1559C22—862no—
1560C22—3444no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22C22×D4×D4311yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—432no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—861no—
1584C4—861no—
1585C4—861no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C42−1+4×D4311yescharacteristic
1593C42−1+4×D4311yescharacteristic
1594C2—41no—
1595C2—81no—
1596C2—1722no—
1597C2—1722no—
1598C2#1914824411yescharacteristic
1599C2#577×D4311yescharacteristic
1600C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3244C2
socleC22×C43C23×D4
prime radical#14583032C22
hypercenter#3244D43
hypocenterC43#61864
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #19149081C2semidirect
2. #19148397C2semidirect
3. #19147547C2semidirect
4. #19147535C2semidirect
5. #19147502C2semidirect
6. #19147489C2semidirect
7. #19147475C2semidirect
8. #19147473C2semidirect
9. #19147457C2semidirect
10. #19147452C2semidirect
11. #19147425C2semidirect
12. #19147421C2semidirect
13. #19147379C2semidirect
14. #19147310C2semidirect
15. #19147243C2semidirect
16. #19147241C2semidirect
17. #19147241C2semidirect
18. #19147236C2semidirect
19. #19145889C2semidirect
20. #19145863C2semidirect
21. #19145859C2semidirect
22. #19145771C2semidirect
23. #19145752C2semidirect
24. #19144848C2semidirect
25. #19144843C2semidirect
29. #19144600C2semidirect
30. #19143694C2semidirect
31. C43×#3244C2semidirect
34. #14583629C22semidirect
35. #14583627C22semidirect
36. #14583625C22semidirect
37. #14583624C22semidirect
38. #14583619C22semidirect
40. #14583618C22semidirect
41. #14583618C22semidirect
45. #14583608C22semidirect
75. #14583306C22semidirect
76. #14583306C22semidirect
77. #14583305C22semidirect
78. #14583303C22semidirect
79. #14583300C22semidirect
80. #14583299C22semidirect
81. #14583299C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583269C22semidirect
86. #14583266C22semidirect
87. #14583257C22semidirect
88. #14583252C22semidirect
89. #14583252C22semidirect
90. #14583252C22semidirect
91. #14583251C22semidirect
92. #14583248C22semidirect
93. #14583248C22semidirect
94. #14583248C22semidirect
103. #14583209C22semidirect
104. #14583209C22semidirect
105. #14583209C22semidirect
106. #14583208C22semidirect
107. #14583205C22semidirect
108. #14583204C22semidirect
109. #14583204C22semidirect
110. #14583203C22semidirect
111. #14583203C22semidirect
118. #14583197C22semidirect
119. #14583193C22semidirect
120. #14583192C22semidirect
121. #14583191C22semidirect
125. #14583187C22semidirect
126. #14583187C22semidirect
128. #14583183C22semidirect
129. #14583183C22semidirect
130. #14583183C22semidirect
131. #14583181C22semidirect
133. #14583177C22semidirect
151. #14583028C22semidirect
152. #14583028C22semidirect
153. #14583027C22semidirect
154. #14583027C22semidirect
155. C8×Dic86C22semidirect
156. C8×Dic86C22semidirect
157. #14583023C22semidirect
158. #14583023C22semidirect
190. C43×#501C22semidirect
191. C43×#498C22semidirect
192. C43×#489C22semidirect
193. C43×#488C22semidirect
198. C43×#479C22semidirect
199. C43×#478C22semidirect
200. C43×#476C22semidirect
201. C43×#475C22semidirect
813. #3244D43semidirect
880. #501C2×D43semidirect
888. #498C2×D43semidirect
892. #489C2×D43semidirect
896. #488C2×D43semidirect
922. #479C2×D43semidirect
930. #478C2×D43semidirect
940. #476C2×D43semidirect
945. #475C2×D43semidirect
1003. C43#61864semidirect

Maximal subgroups

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

subgroupindex
#191490812
#191483972
#191475472
#191475352
#191475022
#191474892
#191474752
#191474732
#191474572
#191474522
#191474252
#191474212
#191473792
#191473102
#191472432
#191472412
#191472362
#191458892
#191458632
#191458592
#191457712
#191457522
#191448482
#191448432
#191447742
#191447732
#191446392
#191446002
#191436942
C43×#32442
#6186443