Finite Group Databasebeta

← #25969301

Subgroups — #25969301

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148419C211yesmaximal, characteristic, complemented
2#19148009C211yesmaximal, characteristic
3#19145894C211yesmaximal, characteristic, complemented
4#19145889C211yesmaximal, characteristic, complemented
5#19145879C211yesmaximal, characteristic, complemented
6#19145874C211yesmaximal, characteristic, complemented
7#19145852C211yesmaximal, characteristic, complemented
8#19145844C211yesmaximal, characteristic, complemented
9#19145843C211yesmaximal, characteristic, complemented
10#19145843C211yesmaximal, characteristic, complemented
11#19145837C211yesmaximal, characteristic, complemented
12#19145834C211yesmaximal, characteristic, complemented
13#19145783C211yesmaximal, characteristic, complemented
14#19145763C211yesmaximal, characteristic, complemented
15#19145761C211yesmaximal, characteristic, complemented
16#19145730C211yesmaximal, characteristic, complemented
17#19145727C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145122C211yesmaximal, characteristic, complemented
20#19144950C211yesmaximal, characteristic, complemented
21#19144950C211yesmaximal, characteristic, complemented
22#19144585C211yesmaximal, characteristic, complemented
23#19144568C211yesmaximal, characteristic, complemented
24#19144552C211yesmaximal, characteristic, complemented
25#19144546C211yesmaximal, characteristic, complemented
26#19144412C211yesmaximal, characteristic, complemented
27#19144390C211yesmaximal, characteristic, complemented
28#19144380C211yesmaximal, characteristic, complemented
29#478×D43C211yesmaximal, characteristic, complemented
30#19143262C211yesmaximal, characteristic, complemented
31C43×#3234C211yesmaximal, characteristic, complemented
32#14583626—21no—
33#14583626—21no—
34#14583605—21no—
35#14583605—21no—
36#14583604—21no—
37#14583604—21no—
38#14583604—21no—
39#14583604—21no—
40#14583530C2211yescharacteristic, complemented
41#14583530C2211yescharacteristic, complemented
42#14583529C2211yescharacteristic
43#14583529C2211yescharacteristic
44#14583529C2211yescharacteristic, complemented
45#14583529C2211yescharacteristic, complemented
46#14583526C2211yescharacteristic
47#14583523C2211yescharacteristic
48#14583516C2211yescharacteristic
49#14583513—21no—
50#14583503C2211yescharacteristic
51#14583502C2211yescharacteristic
52#14583499—21no—
53#14583483—21no—
54#14583481—21no—
55#14583478C2211yescharacteristic
56#14583465C2211yescharacteristic
57#14583462C2211yescharacteristic
58#14583456C2211yescharacteristic, complemented
59#14583455C2211yescharacteristic
60#14583455C2211yescharacteristic, complemented
61#14583446C2211yescharacteristic
62#14583445—21no—
63#14583433C2211yescharacteristic
64#14583431C2211yescharacteristic
65#14583429—21no—
66#125×D43C2211yescharacteristic
67#125×D43C2211yescharacteristic, complemented
68#14583408—21no—
69#14583406—21no—
70#14583380C2211yescharacteristic
71#14583380C2211yescharacteristic
72C4×#10621898C2211yescharacteristic
73C4×#10621900C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583308C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583299C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583298C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583295C2211yescharacteristic, complemented
89#14583262C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583259C2211yescharacteristic
92#14583259C2211yescharacteristic
93#14583257C2211yescharacteristic
94#14583257C2211yescharacteristic
95#14583256C2211yescharacteristic
96#14583256C2211yescharacteristic
97#14583252C2211yescharacteristic
98#14583252C2211yescharacteristic
99#14583245C2211yescharacteristic
100#14583245C2211yescharacteristic
101#14583244C2211yescharacteristic
102#14583244C2211yescharacteristic
103#14583243C2211yescharacteristic, complemented
104#14583242C2211yescharacteristic, complemented
105#14583241C2211yescharacteristic, complemented
106#14583241C2211yescharacteristic, complemented
107#14583236C2211yescharacteristic, complemented
108#14583234C2211yescharacteristic, complemented
109#14583231C2211yescharacteristic, complemented
110#14583229C2211yescharacteristic, complemented
111#14583226C2211yescharacteristic
112#14583225C2211yescharacteristic
113#14583224C2211yescharacteristic
114#14583224C2211yescharacteristic
115#14583222C2211yescharacteristic
116#14583222C2211yescharacteristic, complemented
117#14583221C2211yescharacteristic
118#14583221C2211yescharacteristic, complemented
119#14583220C2211yescharacteristic
120#14583220C2211yescharacteristic
121#14583220C2211yescharacteristic, complemented
122#14583220C2211yescharacteristic, complemented
123#14583219C2211yescharacteristic
124#14583217C2211yescharacteristic
125#14583216C2211yescharacteristic
126#14583216C2211yescharacteristic, complemented
127#14583214C2211yescharacteristic
128#14583212C2211yescharacteristic
129#14583211C2211yescharacteristic
130#14583211C2211yescharacteristic, complemented
131#14583209C2211yescharacteristic, complemented
132#14583207C2211yescharacteristic, complemented
133#14583207C2211yescharacteristic, complemented
134#14583205C2211yescharacteristic, complemented
135#14583203C2211yescharacteristic, complemented
136#14583203C2211yescharacteristic, complemented
137#14583202C2211yescharacteristic
138#14583201C2211yescharacteristic
139#14583201C2211yescharacteristic, complemented
140#14583200C2211yescharacteristic
141#14583200C2211yescharacteristic
142#14583199C2211yescharacteristic
143#14583199C2211yescharacteristic
144#14583199C2211yescharacteristic, complemented
145#14583199C2211yescharacteristic, complemented
146#14583198C2211yescharacteristic
147#14583197C2211yescharacteristic
148#14583197C2211yescharacteristic, complemented
149#14583196C2211yescharacteristic
150#14583196C2211yescharacteristic
151#14583193C2211yescharacteristic, complemented
152#14583188C2211yescharacteristic
153#14583187C2211yescharacteristic
154#14583187C2211yescharacteristic, complemented
155#14583183C2211yescharacteristic, complemented
156#14583178C2211yescharacteristic
157#14583177C2211yescharacteristic
158#14583177C2211yescharacteristic, complemented
159#14582961C2211yescharacteristic, complemented
160#14582961C2211yescharacteristic, complemented
161#14582957C2211yescharacteristic, complemented
162#14582957C2211yescharacteristic, complemented
163#14582955C2211yescharacteristic, complemented
164#14582952C2211yescharacteristic, complemented
165#14582951C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582921C2211yescharacteristic
175C4⋊C8×D43C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#532C2211yescharacteristic
189C2×#125×C43C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic
193C43×#490C2211yescharacteristic
194C43×#481C2211yescharacteristic
195C43×#481C2211yescharacteristic, complemented
196C43×#480C2211yescharacteristic
197C43×#480C2211yescharacteristic, complemented
198C43×#478C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#478C2211yescharacteristic, complemented
201C43×#478C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43—21no—
208C2×#10621872C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×C8×D43C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212#13063325C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063324—21no—
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063323—21no—
226#13063321—21no—
227#13063321C2311yescharacteristic
228#13063320—21no—
229#13063319—21no—
230#13063318—21no—
231#13063318—21no—
232#13063317C2311yescharacteristic
233#13063317C2311yescharacteristic
234#13063317C2311yescharacteristic
235#13063316—21no—
236#13063316—21no—
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063315—21no—
243#13063315—21no—
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063314—21no—
252#13063313C2311yescharacteristic
253#13063312—21no—
254#13063312C2311yescharacteristic
255#13063311—21no—
256#13063311—21no—
257#13063310—21no—
258#13063309—21no—
259#13063308—21no—
260#13063307—21no—
261#13063307—21no—
262#13063306—21no—
263#13063306—21no—
264#13063306—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305C2311yescharacteristic
270#13063304—21no—
271#13063304—21no—
272#13063304—21no—
273#13063304—21no—
274#13063304—21no—
275#13063304—21no—
276#13063304C2311yescharacteristic
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063302—21no—
287#13063302—21no—
288#13063301—21no—
289#13063301—21no—
290#13063300C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063298—21no—
293#13063298—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296C2311yescharacteristic
303#13063296C2311yescharacteristic
304#13063295—21no—
305#13063293—21no—
306#13063293—21no—
307#13063293—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86D411yescharacteristic
311C4×Dic86D411yescharacteristic
312C4×Dic86C2311yescharacteristic
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318#13063290—21no—
319#13063290C2311yescharacteristic
320C4×D172D411yescharacteristic
321C4×D172D411yescharacteristic
322C4×D172C2311yescharacteristic
323D4×Dic43C2311yescharacteristic
324D4×Dic43C2311yescharacteristic
325#13063287—21no—
326#13063287—21no—
327#13063287C2311yescharacteristic
328C4×C22⋊D43—21no—
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43D411yescharacteristic
338C4×C22⋊D43D411yescharacteristic
339C4×C22⋊D43D411yescharacteristic
340C4×C22⋊D43D411yescharacteristic
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343#13063284—21no—
344#13063284C2311yescharacteristic
345#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063282—21no—
353#13063282C2311yescharacteristic
354#13063282C2311yescharacteristic
355#13063281—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C22⋊C4×D43—21no—
366C2×C4×Dic43—21no—
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437#127×C43C2311yescharacteristic
438#125×C43—21no—
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#121×C43—21no—
446#121×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43C2311yescharacteristic
450C4×D4×C43C2311yescharacteristic
451C2×C4⋊C4×C43—21no—
452C2×C4⋊C4×C43—21no—
453C2×C4⋊C4×C43C2311yescharacteristic
454C2×C4⋊C4×C43C2311yescharacteristic
455C2×C42×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478C23×D43—21no—
479#41×C43—82no—
480C2×Q8×C43—21no—
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43C2×D411yescharacteristic
492C22×C4×C43C2×D411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506#10621900—22no—
507#10621900—22no—
508D4×D43—22no—
509D4×D43—22no—
510#10621898—22no—
511#10621898—22no—
512#10621898—82no—
513C2×D172—21no—
514C2×D172C2×D411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—82no—
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2411yescharacteristic
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×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C42×C43C2×D411yescharacteristic
565C42×C43C2×D411yescharacteristic
566C42×C43C2411yescharacteristic
567C42×C43C2411yescharacteristic
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43C2×D411yescharacteristic
578C22⋊Dic43C2×D411yescharacteristic
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—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43C2×D411yescharacteristic
604C4⋊Dic43C2×D411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
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×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660C8×D43—22no—
661C8×D43—22no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D411yescharacteristic
665C22×D43—21no—
666C22×D43—42no—
667C22×D43—81no—
668C22×D43—81no—
669C22×D43C22×D411yescharacteristic
670C22×D43C22×D411yescharacteristic
671Q8×C43—81no—
672D4×C43—21no—
673D4×C43—21no—
674D4×C43—21no—
675D4×C43—21no—
676D4×C43—81no—
677D4×C43—81no—
678D4×C43—81no—
679D4×C43—81no—
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—21no—
687C2×C4×C43—21no—
688C2×C4×C43—41no—
689C2×C4×C43—41no—
690C2×C4×C43—42no—
691C2×C4×C43—42no—
692C2×C4×C43—81no—
693C2×C4×C43—81no—
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C2511yescharacteristic
700C22⋊D43—22no—
701C22⋊D43—22no—
702C22⋊D43—42no—
703C22⋊D43—42no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C22⋊D43—81no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—42no—
717C2×Dic43—81no—
718C2×Dic43—81no—
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725D172—22no—
726D172—21no—
727D172—21no—
728D172—81no—
729C4×D43—21no—
730C4×D43—21no—
731C4×D43—41no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—42no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D432−1+412yes—
743C4×D432−1+412yes—
744Dic86—22no—
745Dic86—21no—
746Dic86—21no—
747Dic86—81no—
748Dic86—81no—
749Dic86—81no—
750Dic86—81no—
751Dic86—81no—
752Dic86—81no—
753Dic86—81no—
754C8×C43—21no—
755C8×C43—21no—
756C8×C43—21no—
757C8×C43—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762#60890—431nomaximal, Sylow
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43C23×D411yescharacteristic
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—84no—
782C2×D43#53612yes—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43C2×2−1+411yescharacteristic
795C4×C43C2×2−1+411yescharacteristic
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43#53612yes—
809#3504—431no—
810#3460—431no—
811#3244—431no—
812#3244—431no—
813#3243—431no—
814#3243—431no—
815#3241—431no—
816#3241—431no—
817#3241—431no—
818#3241—431no—
819#3240—431no—
820#3240—431no—
821#3234—431no—
822#3234D4311yescharacteristic, complemented
823#3232—431no—
824#3232—431no—
825#3228—431no—
826#3228—431no—
827#3164—431no—
828#3163—431no—
829#3136—431no—
830#3136—431no—
831#3099—431no—
832#3098—431no—
833#3096—431no—
834#3096—431no—
835#3080—431no—
836#3077—431no—
837#3076—431no—
838C2×#478—431no—
839#2925—431no—
840C2×C43—41no—
841C2×C43—81no—
842C2×C43—81no—
843C2×C43C2×#53611yescharacteristic
844C2×C43#358411yescharacteristic
845C2×C43#358511yescharacteristic
846D43—22no—
847D43—41no—
848D43—81no—
849#557—861no—
850#557—861no—
851#554—861no—
852#554—861no—
853#554—861no—
854#554—861no—
855#554—861no—
856#554—861no—
857#544—431no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544—431no—
862#544—431no—
863#544—431no—
864#542—431no—
865#542—431no—
866#542—861no—
867#540—431no—
868#540—431no—
869#540—861no—
870#538—861no—
871#538—861no—
872#537—431no—
873#535—431no—
874#535—431no—
875#533—431no—
876#533—431no—
877#533—431no—
878#532—431no—
879#532—861no—
880#532C2×D4311yescharacteristic
881#529—431no—
882#529—431no—
883#529—861no—
884C2×#125—431no—
885C2×#125—431no—
886C2×#125C2×D4311yescharacteristic, complemented
887#525—861no—
888#525—861no—
889#520—431no—
890#520—431no—
891C4×#41—431no—
892C4×#41—431no—
893C2×C4×D4—431no—
894#501—431no—
895#501—431no—
896#501—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501C2×D4311yescharacteristic, complemented
901#501C2×D4311yescharacteristic, complemented
902#500—431no—
903#500—431no—
904#499—431no—
905#499—431no—
906#499—431no—
907#499—431no—
908#498—431no—
909#498—431no—
910#490—431no—
911#490—431no—
912#490C2×D4311yescharacteristic
913#490C2×D4311yescharacteristic
914#489—431no—
915#489—431no—
916#489—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#488—431no—
922#486—431no—
923#486—431no—
924#486—431no—
925#486—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#484—431no—
931#484—431no—
932#483—431no—
933#483—431no—
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#481—431no—
947#481—431no—
948#481—431no—
949#481—431no—
950#481C2×D4311yescharacteristic
951#481C2×D4311yescharacteristic, complemented
952#480—431no—
953#480—431no—
954#480—431no—
955#480—431no—
956#480C2×D4311yescharacteristic
957#480C2×D4311yescharacteristic, complemented
958#479—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#478—431no—
978#478C2×D4311yescharacteristic
979#478C2×D4311yescharacteristic
980#478C2×D4311yescharacteristic, complemented
981#478C2×D4311yescharacteristic, complemented
982#477—431no—
983#476—431no—
984#476—431no—
985#476—431no—
986#475—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#433—431no—
991#433—431no—
992#433—431no—
993#433—431no—
994#432—431no—
995#432C2×D4311yescharacteristic, complemented
996#431—431no—
997#431—431no—
998#428—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#427—431no—
1003#427—431no—
1004C2×#107—431no—
1005C2×#106—431no—
1006#423—431no—
1007C2×C4⋊C8—431no—
1008#418—431no—
1009#418—431no—
1010#417—431no—
1011#417—431no—
1012#416—431no—
1013#416—431no—
1014C2×#102—431no—
1015C2×#102—431no—
1016#408—431no—
1017#408—431no—
1018#405—431no—
1019#405—431no—
1020C43#6089011yescharacteristic, complemented, Sylow
1021C2×#41—21no—
1022C2×#41—431no—
1023C2×#41—431no—
1024C2×#41—861no—
1025C22×D4—431no—
1026C23×C4—861no—
1027C2×M16—431no—
1028C2×M16—431no—
1029C22×C8—431no—
1030C22×C8—431no—
1031C4⋊Q8—431no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8C22×D4311yescharacteristic
1046#127—431no—
1047#127—861no—
1048#127C22×D4311yescharacteristic
1049#126—861no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#125—21no—
1054#125—21no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
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#125—861no—
1074#125C22×D4311yescharacteristic
1075#125C22×D4311yescharacteristic
1076#125C22×D4311yescharacteristic
1077#125C22×D4311yescharacteristic
1078#124—21no—
1079#124—431no—
1080#124—431no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124—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—
1093C22⋊Q8—431no—
1094C22⋊Q8—431no—
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—
1118#121—21no—
1119#121—431no—
1120#121—431no—
1121#121—431no—
1122#121—431no—
1123#121—861no—
1124#121—861no—
1125#121—861no—
1126#121—861no—
1127#121—861no—
1128#121—861no—
1129#121—861no—
1130#121—861no—
1131#121—861no—
1132#121—861no—
1133#121C22×D4311yescharacteristic
1134#121C22×D4311yescharacteristic
1135#120—861no—
1136#120—861no—
1137#120—861no—
1138#120—861no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8—861no—
1151C4×D4—21no—
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—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4—861no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4C22×D4311yescharacteristic
1176C4×D4C22×D4311yescharacteristic
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—431no—
1184#117—431no—
1185#117—431no—
1186#117—431no—
1187#117—861no—
1188#117—861no—
1189#117—861no—
1190C2×C4⋊C4—21no—
1191C2×C4⋊C4—21no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4—861no—
1199C2×C4⋊C4—861no—
1200C2×C4⋊C4—861no—
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4—861no—
1204C2×C42—431no—
1205C2×C42—431no—
1206C2×C42—861no—
1207C2×C42C22×D4311yescharacteristic
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107—431no—
1216#107—431no—
1217#107—431no—
1218#107—431no—
1219#107—431no—
1220#107C22×D4311yescharacteristic
1221#107C22×D4311yescharacteristic
1222#107C22×D4311yescharacteristic
1223#107C22×D4311yescharacteristic
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106C22×D4311yescharacteristic
1237#106C22×D4311yescharacteristic
1238#106C22×D4311yescharacteristic
1239#106C22×D4311yescharacteristic
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8C22×D4311yescharacteristic
1247C4⋊C8C22×D4311yescharacteristic
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102C22×D4311yescharacteristic
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278#102C22×D4311yescharacteristic
1279#102C22×D4311yescharacteristic
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282C22⋊C8—431no—
1283C22⋊C8—431no—
1284C22⋊C8—431no—
1285C22⋊C8—431no—
1286C22⋊C8C22×D4311yescharacteristic
1287C22⋊C8C22×D4311yescharacteristic
1288#97—431no—
1289#97—431no—
1290#97C22×D4311yescharacteristic
1291#97C22×D4311yescharacteristic
1292C4×C8—431no—
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8—431no—
1296C24—861no—
1297#41—82no—
1298#41—862no—
1299#41—862no—
1300#41—862no—
1301#41—862no—
1302#41—3442no—
1303C2×Q8—21no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—431no—
1318C2×D4—431no—
1319C2×D4—431no—
1320C2×D4—431no—
1321C2×D4—861no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—861no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4C23×D4311yescharacteristic
1332C2×D4C23×D4311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—861no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—3442no—
1354C22×C4D4×D4311yescharacteristic
1355C22×C4D4×D4311yescharacteristic
1356C22×C4C23×D4311yescharacteristic
1357M16—862no—
1358M16—862no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—862no—
1364C2×C8—862no—
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4C23×D4311yescharacteristic
1425C4⋊C4C23×D4311yescharacteristic
1426C4⋊C4C23×D4311yescharacteristic
1427C4⋊C4C23×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C42—431no—
1462C42—431no—
1463C42—431no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42D4×D4311yescharacteristic
1477C42D4×D4311yescharacteristic
1478C42C23×D4311yescharacteristic
1479C42C23×D4311yescharacteristic
1480C23—21no—
1481C23—21no—
1482C23—431no—
1483C23—431no—
1484C23—861no—
1485C23—3441no—
1486C23—3441no—
1487C23—1722no—
1488C23C2×D4×D4311yescharacteristic
1489Q8—81no—
1490Q8—862no—
1491Q8—861no—
1492Q8—861no—
1493Q8—3441no—
1494Q8—3441no—
1495Q8—3441no—
1496Q8—3441no—
1497Q8—3441no—
1498Q8—3441no—
1499Q8—3441no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—81no—
1506D4—81no—
1507D4—81no—
1508D4—862no—
1509D4—862no—
1510D4—862no—
1511D4—861no—
1512D4—861no—
1513D4—3441no—
1514D4—3441no—
1515D4—3441no—
1516D4—3441no—
1517D4—3441no—
1518D4—3441no—
1519D4—1722no—
1520D4—1722no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—42no—
1532C2×C4—42no—
1533C2×C4—81no—
1534C2×C4—81no—
1535C2×C4—431no—
1536C2×C4—432no—
1537C2×C4—432no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—3441no—
1553C2×C4—3441no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—1721no—
1561C2×C4—1721no—
1562C2×C4—1721no—
1563C2×C4—1721no—
1564C2×C4—1722no—
1565C2×C4—1722no—
1566C2×C4C2×D4×D4311yescharacteristic
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C24×D4311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—861no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—432no—
1590C22—861no—
1591C22—861no—
1592C22—861no—
1593C22—861no—
1594C22—861no—
1595C22—3444no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22C22×D4×D4311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—432no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C42−1+4×D4311yescharacteristic
1625C42−1+4×D4311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—81no—
1629C2—862no—
1630C2—3441no—
1631C2—1721no—
1632C2#536×D4311yescharacteristic
1633C2#1914936811yescharacteristic
1634C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3234C2
socleC22×C43C23×D4
prime radical#19148009C2
hypercenter#3234D43
hypocenterC43#60890
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3234

Complements

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

NH ≅ G/Ntype
1. #19148419C2semidirect
3. #19145894C2semidirect
4. #19145889C2semidirect
5. #19145879C2semidirect
6. #19145874C2semidirect
7. #19145852C2semidirect
8. #19145844C2semidirect
9. #19145843C2semidirect
10. #19145843C2semidirect
11. #19145837C2semidirect
12. #19145834C2semidirect
13. #19145783C2semidirect
14. #19145763C2semidirect
15. #19145761C2semidirect
16. #19145730C2semidirect
17. #19145727C2semidirect
18. #19145130C2semidirect
19. #19145122C2semidirect
20. #19144950C2semidirect
21. #19144950C2semidirect
22. #19144585C2semidirect
23. #19144568C2semidirect
24. #19144552C2semidirect
25. #19144546C2semidirect
26. #19144412C2semidirect
27. #19144390C2semidirect
28. #19144380C2semidirect
29. #478×D43C2semidirect
30. #19143262C2semidirect
31. C43×#3234C2semidirect
40. #14583530C22semidirect
41. #14583530C22semidirect
44. #14583529C22semidirect
45. #14583529C22semidirect
58. #14583456C22semidirect
60. #14583455C22semidirect
67. #125×D43C22semidirect
75. #14583308C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583300C22semidirect
84. #14583299C22semidirect
85. #14583298C22semidirect
86. #14583298C22semidirect
87. #14583296C22semidirect
88. #14583295C22semidirect
103. #14583243C22semidirect
104. #14583242C22semidirect
105. #14583241C22semidirect
106. #14583241C22semidirect
107. #14583236C22semidirect
108. #14583234C22semidirect
109. #14583231C22semidirect
110. #14583229C22semidirect
116. #14583222C22semidirect
118. #14583221C22semidirect
121. #14583220C22semidirect
122. #14583220C22semidirect
126. #14583216C22semidirect
130. #14583211C22semidirect
131. #14583209C22semidirect
132. #14583207C22semidirect
133. #14583207C22semidirect
134. #14583205C22semidirect
135. #14583203C22semidirect
136. #14583203C22semidirect
139. #14583201C22semidirect
144. #14583199C22semidirect
145. #14583199C22semidirect
148. #14583197C22semidirect
151. #14583193C22semidirect
154. #14583187C22semidirect
155. #14583183C22semidirect
158. #14583177C22semidirect
159. #14582961C22semidirect
160. #14582961C22semidirect
161. #14582957C22semidirect
162. #14582957C22semidirect
163. #14582955C22semidirect
164. #14582952C22semidirect
165. #14582951C22semidirect
189. C2×#125×C43C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
195. C43×#481C22semidirect
197. C43×#480C22semidirect
200. C43×#478C22semidirect
201. C43×#478C22semidirect
202. C43×#432C22semidirect
822. #3234D43semidirect
886. C2×#125C2×D43semidirect
900. #501C2×D43semidirect
901. #501C2×D43semidirect
951. #481C2×D43semidirect
957. #480C2×D43semidirect
980. #478C2×D43semidirect
981. #478C2×D43semidirect
995. #432C2×D43semidirect
1020. C43#60890semidirect

Maximal subgroups

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

subgroupindex
#191484192
#191480092
#191458942
#191458892
#191458792
#191458742
#191458522
#191458442
#191458432
#191458372
#191458342
#191457832
#191457632
#191457612
#191457302
#191457272
#191451302
#191451222
#191449502
#191445852
#191445682
#191445522
#191445462
#191444122
#191443902
#191443802
#478×D432
#191432622
C43×#32342
#6089043