Finite Group Databasebeta

← #25987320

Subgroups — #25987320

Order 11008.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149064C211yesmaximal, characteristic
2#19148403C211yesmaximal, characteristic, complemented
3#19147539C211yesmaximal, characteristic, complemented
4#19147533C211yesmaximal, characteristic, complemented
5#19147522C211yesmaximal, characteristic, complemented
6#19147513C211yesmaximal, characteristic, complemented
7#19147481C211yesmaximal, characteristic, complemented
8#19147475C211yesmaximal, characteristic, complemented
9#19147465C211yesmaximal, characteristic, complemented
10#19147452C211yesmaximal, characteristic, complemented
11#19147406C211yesmaximal, characteristic, complemented
12#19147366C211yesmaximal, characteristic, complemented
13#19147362C211yesmaximal, characteristic, complemented
14#19147327C211yesmaximal, characteristic, complemented
15#19147290C211yesmaximal, characteristic, complemented
16#19147288C211yesmaximal, characteristic, complemented
17#19147288C211yesmaximal, characteristic, complemented
18#19147265C211yesmaximal, characteristic, complemented
19#19145897C211yesmaximal, characteristic, complemented
20#19145852C211yesmaximal, characteristic, complemented
21#19145848C211yesmaximal, characteristic, complemented
22#19145777C211yesmaximal, characteristic, complemented
23#19145729C211yesmaximal, characteristic, complemented
24#19144887C211yesmaximal, characteristic, complemented
25#19144882C211yesmaximal, characteristic, complemented
26#19144827C211yesmaximal, characteristic, complemented
27#19144818C211yesmaximal, characteristic, complemented
28#19144678C211yesmaximal, characteristic, complemented
29#19144623C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3244C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583643—21no—
34#14583634C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583629—21no—
38#14583629C2211yescharacteristic
39#14583629C2211yescharacteristic
40#14583626—21no—
41#14583626—21no—
42#14583626C2211yescharacteristic
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583626C2211yescharacteristic
46#14583625C2211yescharacteristic
47#14583624—21no—
48#14583624C2211yescharacteristic
49#14583624C2211yescharacteristic
50#14583610C2211yescharacteristic
51#14583608C2211yescharacteristic
52#14583570C2211yescharacteristic
53#14583564C2211yescharacteristic
54#14583557—21no—
55#14583547—21no—
56#14583530C2211yescharacteristic
57#14583528—21no—
58#14583528—21no—
59#14583522C2211yescharacteristic
60#14583515—21no—
61#14583504C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583498—21no—
64#14583490—21no—
65#14583472—21no—
66#14583452C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451—21no—
69#14583451—21no—
70#14583444C2211yescharacteristic
71#14583435C2211yescharacteristic
72#14583376C2211yescharacteristic
73#14583376C2211yescharacteristic
74C2×#13063290C2211yescharacteristic
75#14583306C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583300C2211yescharacteristic
80#14583299C2211yescharacteristic
81#14583299C2211yescharacteristic
82#14583298C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583265C2211yescharacteristic
86#14583262C2211yescharacteristic
87#14583260C2211yescharacteristic
88#14583255C2211yescharacteristic
89#14583255C2211yescharacteristic
90#14583255C2211yescharacteristic
91#14583247C2211yescharacteristic
92#14583244C2211yescharacteristic
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583237C2211yescharacteristic
96#14583224C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583223C2211yescharacteristic
99#14583223C2211yescharacteristic
100#14583220C2211yescharacteristic
101#14583217C2211yescharacteristic
102#14583212C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583209C2211yescharacteristic
105#14583209C2211yescharacteristic
106#14583208C2211yescharacteristic
107#14583207C2211yescharacteristic
108#14583207C2211yescharacteristic
109#14583205C2211yescharacteristic
110#14583202C2211yescharacteristic
111#14583201C2211yescharacteristic
112#14583201C2211yescharacteristic
113#14583198C2211yescharacteristic
114#14583198C2211yescharacteristic
115#14583198C2211yescharacteristic
116#14583197C2211yescharacteristic
117#14583196C2211yescharacteristic
118#14583196C2211yescharacteristic
119#14583193C2211yescharacteristic
120#14583192C2211yescharacteristic
121#14583191C2211yescharacteristic
122#14583188C2211yescharacteristic
123#14583188C2211yescharacteristic
124#14583188C2211yescharacteristic
125#14583186C2211yescharacteristic
126#14583183C2211yescharacteristic
127#14583183C2211yescharacteristic
128#14583183C2211yescharacteristic
129#14583182C2211yescharacteristic
130#14583182C2211yescharacteristic
131#14583181C2211yescharacteristic
132#14583178C2211yescharacteristic
133#14583177C2211yescharacteristic
134#14583176C2211yescharacteristic
135#14583124C2211yescharacteristic
136#14583124C2211yescharacteristic
137#14583124C2211yescharacteristic
138#14583124C2211yescharacteristic
139#14583118C2211yescharacteristic
140#14583118C2211yescharacteristic
141#14583100C2211yescharacteristic
142#14583100C2211yescharacteristic
143#14583098C2211yescharacteristic
144#14583098C2211yescharacteristic
145#14583098C2211yescharacteristic
146#14583098C2211yescharacteristic
147#14583054C2211yescharacteristic
148#14583040C2211yescharacteristic
149#14583040C2211yescharacteristic
150#14583037C2211yescharacteristic
151#14583028C2211yescharacteristic
152#14583028C2211yescharacteristic
153#14583027C2211yescharacteristic
154#14583027C2211yescharacteristic
155C8×Dic86C2211yescharacteristic
156C8×Dic86C2211yescharacteristic
157#14583023C2211yescharacteristic
158#14583023C2211yescharacteristic
159#14583004C2211yescharacteristic
160#14583003C2211yescharacteristic
161#14583001C2211yescharacteristic
162#14583001C2211yescharacteristic
163#14582999C2211yescharacteristic
164#14582998C2211yescharacteristic
165#14582998C2211yescharacteristic
166#14582996C2211yescharacteristic
167C4×#10621885C2211yescharacteristic
168#14582991C2211yescharacteristic
169#14582991C2211yescharacteristic
170#14582991C2211yescharacteristic
171#14582990C2211yescharacteristic
172#14582990C2211yescharacteristic
173#14582990C2211yescharacteristic
174C4×#10621873C2211yescharacteristic
175C4×#10621873C2211yescharacteristic
176#14582986C2211yescharacteristic
177#14582986C2211yescharacteristic
178#14582986C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582986C2211yescharacteristic
181#14582986C2211yescharacteristic
182C4×#10621883C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#498C2211yescharacteristic
192C43×#489C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#483C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#481C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#476C2211yescharacteristic
201C43×#475C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621900—21no—
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43—21no—
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324D411yescharacteristic
224#13063324D411yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063322C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063317—21no—
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316—21no—
246#13063316D411yescharacteristic
247#13063316D411yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
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#13063315—21no—
266#13063314C2311yescharacteristic
267#13063314C2311yescharacteristic
268#13063313—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063309—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063305—21no—
286#13063305—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304—21no—
290#13063303—21no—
291#13063303—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302D411yescharacteristic
297#13063302D411yescharacteristic
298#13063302D411yescharacteristic
299#13063302D411yescharacteristic
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063299—21no—
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063297—21no—
311#13063297—21no—
312#13063296—21no—
313Q8×Dic43—21no—
314Q8×Dic43—21no—
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172C2311yescharacteristic
350C4×D172C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284C2311yescharacteristic
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×Dic43⋊C4—21no—
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43—21no—
371C2×C4×Dic43—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#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
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
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C22×Dic43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43C2×D411yescharacteristic
497C22×Dic43C2×D411yescharacteristic
498Q8×D43—82no—
499#10621900—82no—
500#10621898—82no—
501C2×D172—21no—
502C2×D172—21no—
503C2×D172C2411yescharacteristic
504C2×D172C2411yescharacteristic
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×Dic86—21no—
512C2×Dic86—22no—
513C2×Dic86—22no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86C2×D411yescharacteristic
521C2×Dic86C2×D411yescharacteristic
522C2×Dic86C2×D411yescharacteristic
523C2×Dic86C2×D411yescharacteristic
524C2×Dic86C2411yescharacteristic
525C2×Dic86C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
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×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2×D411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43C2×D411yescharacteristic
555C22⋊C4×C43C2×D411yescharacteristic
556C42×C43—21no—
557C42×C43—21no—
558C42×C43C2411yescharacteristic
559C42×C43C2411yescharacteristic
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43C2×D411yescharacteristic
564C22⋊Dic43C2×D411yescharacteristic
565#10621885—22no—
566#10621885—22no—
567#10621883—22no—
568#10621883—22no—
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)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43C2×D411yescharacteristic
590C4⋊Dic43C2×D411yescharacteristic
591C4⋊Dic43C2×D411yescharacteristic
592C4⋊Dic43C2×D411yescharacteristic
593C4⋊Dic43C2×D411yescharacteristic
594C4⋊Dic43C2×D411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
596C4⋊Dic43C2411yescharacteristic
597C4⋊Dic43C2411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
626Dic43⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633C4×Dic43—21no—
634C4×Dic43—21no—
635C4×Dic43—21no—
636C4×Dic43—21no—
637C4×Dic43—21no—
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×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—
666Q8×C43—21no—
667Q8×C43—21no—
668Q8×C43—81no—
669Q8×C43—81no—
670Q8×C43—81no—
671D4×C43—21no—
672D4×C43—21no—
673D4×C43—81no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
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—81no—
684C2×C4×C43—81no—
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C2511yescharacteristic
691C22⋊D43—42no—
692C22⋊D43—81no—
693C22⋊D43—81no—
694C22⋊D43—81no—
695C22⋊D43—81no—
696C22⋊D43—81no—
697C2×Dic43—24no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—22no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—41no—
706C2×Dic43—81no—
707C2×Dic43—81no—
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716D172—21no—
717D172—21no—
718D172—21no—
719D172—21no—
720D172—81no—
721D172—81no—
722C4×D43—42no—
723C4×D43—81no—
724C4×D43—81no—
725C4×D43—81no—
726C4×D43—81no—
727C4×D43—81no—
728Dic86—24no—
729Dic86—21no—
730Dic86—21no—
731Dic86—22no—
732Dic86—22no—
733Dic86—41no—
734Dic86—41no—
735Dic86—42no—
736Dic86—42no—
737Dic86—81no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic862−1+412yes—
742Dic862−1+412yes—
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#61865—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—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C4×C43—21no—
766C4×C43—21no—
767C4×C43—21no—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43C2×2−1+411yescharacteristic
778C4×C43C2×2−1+411yescharacteristic
779Dic43—21no—
780Dic43—21no—
781Dic43—21no—
782Dic43—21no—
783Dic43—22no—
784Dic43—22no—
785Dic43—21no—
786Dic43—21no—
787Dic43—21no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43#57712yes—
793#3554—431no—
794#3502—431no—
795#3388—431no—
796#3388—431no—
797#3387—431no—
798#3386—431no—
799#3383—431no—
800#3381—431no—
801#3381—431no—
802Q8×SD16—431no—
803#3375—431no—
804#3371—431no—
805#3371—431no—
806#3368—431no—
807#3365—431no—
808#3365—431no—
809#3365—431no—
810#3362—431no—
811#3244—431no—
812#3244D4311yescharacteristic, complemented
813#3241—431no—
814#3241—431no—
815#3233—431no—
816#3228—431no—
817#3126—431no—
818#3126—431no—
819#3121—431no—
820#3121—431no—
821#3108—431no—
822#3103—431no—
823#2986—431no—
824C2×C43—41no—
825C2×C43—81no—
826C2×C43#348611yescharacteristic
827C2×C43C2×#57711yescharacteristic
828C2×C43#358411yescharacteristic
829D43—81no—
830D43—81no—
831#562—861no—
832#562—861no—
833#559—431no—
834#559—431no—
835#559—431no—
836Q82—431no—
837Q82—431no—
838Q82—861no—
839#557—431no—
840#557—431no—
841#557—431no—
842#557—431no—
843#557—431no—
844#557—431no—
845#557—431no—
846#557—861no—
847#557—861no—
848#557—861no—
849#554—431no—
850#554—431no—
851#550—431no—
852D4×Q8—431no—
853#548—861no—
854#547—861no—
855#544—431no—
856#544—861no—
857#544—861no—
858#544C2×D4311yescharacteristic
859#542—431no—
860#542—861no—
861#542C2×D4311yescharacteristic
862#540—431no—
863#540—431no—
864#539—861no—
865#539—861no—
866#536—861no—
867#533—431no—
868#533—431no—
869#533—861no—
870#533—861no—
871#532—431no—
872#529—431no—
873#519—431no—
874#519—431no—
875C2×C4×Q8—431no—
876#501—431no—
877#501—431no—
878#501—431no—
879#501C2×D4311yescharacteristic
880#500—431no—
881#499—431no—
882#499—431no—
883#499—431no—
884#499—431no—
885#498—431no—
886#498—431no—
887#498C2×D4311yescharacteristic
888#490—431no—
889#490—431no—
890#489—431no—
891#489C2×D4311yescharacteristic
892#488—431no—
893#488—431no—
894#488—431no—
895#488C2×D4311yescharacteristic
896#486—431no—
897#486—431no—
898#486—431no—
899#486—431no—
900#485—431no—
901#485C2×D4311yescharacteristic
902#483C2×D4311yescharacteristic
903#482—431no—
904#482—431no—
905#482—431no—
906#482—431no—
907#482—431no—
908#482C2×D4311yescharacteristic
909#481—431no—
910#481C2×D4311yescharacteristic
911#480—431no—
912#479—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479C2×D4311yescharacteristic
920#478—431no—
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#478—431no—
929#478C2×D4311yescharacteristic
930#477—431no—
931#477—431no—
932#477—431no—
933#476—431no—
934#476—431no—
935#476—431no—
936#476—431no—
937#476C2×D4311yescharacteristic
938#475—431no—
939#475—431no—
940#475—431no—
941#475—431no—
942#475—431no—
943#475—431no—
944#475C2×D4311yescharacteristic
945#474—431no—
946#474—431no—
947#474—431no—
948#464—431no—
949#464—431no—
950#464—431no—
951#464—431no—
952#464—431no—
953#464—431no—
954#460—431no—
955#460—431no—
956#460—431no—
957#460—431no—
958#460—431no—
959#460—431no—
960#451—431no—
961#448—431no—
962#448—431no—
963#448—431no—
964#446—431no—
965#446—431no—
966#446—431no—
967#446—431no—
968C8×Q8—431no—
969C8×Q8—431no—
970C8×Q8—431no—
971C8×Q8—431no—
972#441—431no—
973#441—431no—
974#440—431no—
975#440—431no—
976#440—431no—
977#440—431no—
978#440—431no—
979#440—431no—
980C4×Q16—431no—
981C4×Q16—431no—
982C4×Q16—431no—
983C4×Q16—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×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996#433—431no—
997#433—431no—
998#433—431no—
999#433C2×D4311yescharacteristic
1000#431—431no—
1001#431—431no—
1002C43#6186511yescharacteristic, complemented, Sylow
1003C2×#41—861no—
1004C2×#41—861no—
1005C22×Q8—431no—
1006C22×Q8—861no—
1007C2×Q16—431no—
1008C2×Q16—431no—
1009C2×SD16—431no—
1010C2×SD16—431no—
1011C2×SD16—431no—
1012C2×SD16—431no—
1013C2×SD16—431no—
1014C2×SD16—431no—
1015C4⋊Q8—21no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—861no—
1025C4⋊Q8—861no—
1026C4⋊Q8—861no—
1027C4⋊Q8—861no—
1028C4⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1039C4⋊Q8C22×D4311yescharacteristic
1040C4⋊Q8C22×D4311yescharacteristic
1041#127—431no—
1042#127—431no—
1043#127—431no—
1044#126—21no—
1045#126—861no—
1046#126—861no—
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—861no—
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#124—21no—
1075#124—431no—
1076#124—431no—
1077#124—861no—
1078#124—861no—
1079#124—861no—
1080#124—861no—
1081#124—861no—
1082#124C22×D4311yescharacteristic
1083#123—21no—
1084#123—861no—
1085#123—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—431no—
1100C22⋊Q8—431no—
1101C22⋊Q8—431no—
1102C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1118#121—431no—
1119#121—431no—
1120#121—861no—
1121#121—861no—
1122#121—861no—
1123#121—861no—
1124#121—861no—
1125#121—861no—
1126#121—861no—
1127#121—861no—
1128#121C22×D4311yescharacteristic
1129C4×Q8—431no—
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—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8—861no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8—861no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8C22×D4311yescharacteristic
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4C22×D4311yescharacteristic
1179#117—431no—
1180#117—431no—
1181#117—861no—
1182#117—861no—
1183#117—861no—
1184#117—861no—
1185#117—861no—
1186#117C22×D4311yescharacteristic
1187#117C22×D4311yescharacteristic
1188C2×C4⋊C4—861no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4C22×D4311yescharacteristic
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#107C22×D4311yescharacteristic
1203#107C22×D4311yescharacteristic
1204#106—431no—
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106C22×D4311yescharacteristic
1213#106C22×D4311yescharacteristic
1214#106C22×D4311yescharacteristic
1215#106C22×D4311yescharacteristic
1216#106C22×D4311yescharacteristic
1217#106C22×D4311yescharacteristic
1218C4⋊C8—431no—
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⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230#103—431no—
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#103C22×D4311yescharacteristic
1241#103C22×D4311yescharacteristic
1242#103C22×D4311yescharacteristic
1243#103C22×D4311yescharacteristic
1244#102—431no—
1245#102—431no—
1246#102—431no—
1247#102—431no—
1248#102—431no—
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#102C22×D4311yescharacteristic
1259#102C22×D4311yescharacteristic
1260#102C22×D4311yescharacteristic
1261#102C22×D4311yescharacteristic
1262C22⋊C8—431no—
1263C22⋊C8—431no—
1264C22⋊C8C22×D4311yescharacteristic
1265C22⋊C8C22×D4311yescharacteristic
1266#97—431no—
1267#97—431no—
1268#97—431no—
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
1278#41—3442no—
1279#41—3442no—
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—862no—
1296C2×Q8—862no—
1297C2×Q8—861no—
1298C2×Q8—3442no—
1299C2×Q8C23×D4311yescharacteristic
1300C2×D4—21no—
1301C2×D4—431no—
1302C2×D4—431no—
1303C2×D4—861no—
1304C2×D4—861no—
1305C2×D4—861no—
1306C2×D4—861no—
1307C2×D4—861no—
1308C2×D4—861no—
1309C2×D4—861no—
1310C2×D4—861no—
1311C2×D4C23×D4311yescharacteristic
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—431no—
1315C22×C4—431no—
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×C4C23×D4311yescharacteristic
1326Q16—862no—
1327Q16—862no—
1328SD16—862no—
1329SD16—862no—
1330SD16—862no—
1331SD16—862no—
1332SD16—862no—
1333SD16—862no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8—431no—
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—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—431no—
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⋊C4D4×D4311yescharacteristic
1405C4⋊C4D4×D4311yescharacteristic
1406C4⋊C4C23×D4311yescharacteristic
1407C4⋊C4C23×D4311yescharacteristic
1408C4⋊C4C23×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—431no—
1419C22⋊C4—431no—
1420C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1436C22⋊C4D4×D4311yescharacteristic
1437C42—21no—
1438C42—21no—
1439C42—431no—
1440C42—431no—
1441C42—431no—
1442C42—431no—
1443C42—431no—
1444C42—431no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42—861no—
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C23—21no—
1463C23—861no—
1464C23—861no—
1465C23C2×D4×D4311yescharacteristic
1466Q8—21no—
1467Q8—21no—
1468Q8—81no—
1469Q8—81no—
1470Q8—81no—
1471Q8—432no—
1472Q8—432no—
1473Q8—862no—
1474Q8—862no—
1475Q8—864no—
1476Q8—861no—
1477Q8—861no—
1478Q8—3441no—
1479Q8—3441no—
1480Q8—3441no—
1481Q8—3441no—
1482Q8—1721no—
1483Q8—1721no—
1484Q8—1722no—
1485Q8—1722no—
1486D4—21no—
1487D4—21no—
1488D4—81no—
1489D4—861no—
1490D4—861no—
1491D4—861no—
1492D4—861no—
1493D4—3441no—
1494D4—3441no—
1495D4—3441no—
1496D4—3441no—
1497D4—3441no—
1498D4—3441no—
1499D4—3441no—
1500D4—1722no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—431no—
1515C2×C4—431no—
1516C2×C4—431no—
1517C2×C4—431no—
1518C2×C4—431no—
1519C2×C4—431no—
1520C2×C4—862no—
1521C2×C4—864no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—3441no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—3441no—
1533C2×C4—3441no—
1534C2×C4—3441no—
1535C2×C4—1722no—
1536C2×C4—1721no—
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—21no—
1547C8—861no—
1548C8—861no—
1549C8—861no—
1550C8—861no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—1721no—
1558C22—1721no—
1559C22—1721no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22C22×D4×D4311yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—432no—
1577C4—861no—
1578C4—861no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—861no—
1584C4—862no—
1585C4—862no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C42−1+4×D4311yescharacteristic
1591C42−1+4×D4311yescharacteristic
1592C2—41no—
1593C2—81no—
1594C2—3441no—
1595C2—3441no—
1596C2#1914824411yescharacteristic
1597C2#577×D4311yescharacteristic
1598C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3244C2
socleC22×C43C23×D4
prime radical#19149064C2
hypercenter#3244D43
hypocenterC43#61865
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
2. #19148403C2semidirect
3. #19147539C2semidirect
4. #19147533C2semidirect
5. #19147522C2semidirect
6. #19147513C2semidirect
7. #19147481C2semidirect
8. #19147475C2semidirect
9. #19147465C2semidirect
10. #19147452C2semidirect
11. #19147406C2semidirect
12. #19147366C2semidirect
13. #19147362C2semidirect
14. #19147327C2semidirect
15. #19147290C2semidirect
16. #19147288C2semidirect
17. #19147288C2semidirect
18. #19147265C2semidirect
19. #19145897C2semidirect
20. #19145852C2semidirect
21. #19145848C2semidirect
22. #19145777C2semidirect
23. #19145729C2semidirect
24. #19144887C2semidirect
25. #19144882C2semidirect
26. #19144827C2semidirect
27. #19144818C2semidirect
28. #19144678C2semidirect
29. #19144623C2semidirect
30. #19143694C2semidirect
31. C43×#3244C2semidirect
812. #3244D43semidirect
1002. C43#61865semidirect

Maximal subgroups

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

subgroupindex
#191490642
#191484032
#191475392
#191475332
#191475222
#191475132
#191474812
#191474752
#191474652
#191474522
#191474062
#191473662
#191473622
#191473272
#191472902
#191472882
#191472652
#191458972
#191458522
#191458482
#191457772
#191457292
#191448872
#191448822
#191448272
#191448182
#191446782
#191446232
#191436942
C43×#32442
#6186543