Finite Group Databasebeta

← #25975922

Subgroups — #25975922

Order 11008.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148509C211yesmaximal, characteristic
2#19148454C211yesmaximal, characteristic, complemented
3#19147167C211yesmaximal, characteristic, complemented
4#19147157C211yesmaximal, characteristic, complemented
5#19147152C211yesmaximal, characteristic, complemented
6#19147141C211yesmaximal, characteristic, complemented
7#19147138C211yesmaximal, characteristic, complemented
8#19147123C211yesmaximal, characteristic, complemented
9#19147120C211yesmaximal, characteristic, complemented
10#19147084C211yesmaximal, characteristic, complemented
11#19147081C211yesmaximal, characteristic, complemented
12#19147048C211yesmaximal, characteristic, complemented
13#19147045C211yesmaximal, characteristic, complemented
14#19146974C211yesmaximal, characteristic, complemented
15#19146973C211yesmaximal, characteristic, complemented
16#19146965C211yesmaximal, characteristic, complemented
17#19146957C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#19144574C211yesmaximal, characteristic, complemented
21#19144563C211yesmaximal, characteristic, complemented
22#19144561C211yesmaximal, characteristic, complemented
23#19144382C211yesmaximal, characteristic, complemented
24#479×D43C211yesmaximal, characteristic, complemented
25#19144283C211yesmaximal, characteristic, complemented
26#19144283C211yesmaximal, characteristic, complemented
27C4×#13063357C211yesmaximal, characteristic, complemented
28#19143340C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143189C211yesmaximal, characteristic, complemented
31C43×#3352C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063333C2211yescharacteristic
35#14583633—21no—
36#14583626—21no—
37#14583620C2211yescharacteristic
38#14583617—21no—
39#14583617C2211yescharacteristic
40#14583616—21no—
41#14583607C2211yescharacteristic
42#14583604C2211yescharacteristic
43#14583602—21no—
44#14583602C2211yescharacteristic
45#14583600—21no—
46#14583597C2211yescharacteristic
47#14583595C2211yescharacteristic
48#14583594—21no—
49#14583593—21no—
50#14583593C2211yescharacteristic
51#14583591C2211yescharacteristic
52#14583590C2211yescharacteristic
53#14583590C2211yescharacteristic
54#14583589C2211yescharacteristic
55#14583587C2211yescharacteristic
56#14583583C2211yescharacteristic
57#14583508—21no—
58#14583501—21no—
59#14583497—21no—
60#14583492—21no—
61#14583479C2211yescharacteristic
62#14583479C2211yescharacteristic
63#14583472C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583446C2211yescharacteristic
67#14583432—21no—
68#14583432—21no—
69#14583427—21no—
70#14583427—21no—
71#125×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583307C2211yescharacteristic
80#14583306C2211yescharacteristic
81#14583306C2211yescharacteristic
82#14583301C2211yescharacteristic
83#14583298C2211yescharacteristic
84#14583298C2211yescharacteristic
85#14583243C2211yescharacteristic
86#14583242C2211yescharacteristic
87#14583241C2211yescharacteristic
88#14583240C2211yescharacteristic
89#14583239C2211yescharacteristic
90#14583238C2211yescharacteristic
91#14583238C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583237C2211yescharacteristic
94#14583237C2211yescharacteristic
95#14583236C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583233C2211yescharacteristic
98#14583232C2211yescharacteristic
99#14583230C2211yescharacteristic
100#14583229C2211yescharacteristic
101#14583228C2211yescharacteristic
102#14583228C2211yescharacteristic
103#14583228C2211yescharacteristic
104#14583227C2211yescharacteristic
105#14583226C2211yescharacteristic
106#14583226C2211yescharacteristic
107#14583224C2211yescharacteristic
108#14583223C2211yescharacteristic
109#14583219C2211yescharacteristic
110#14583218C2211yescharacteristic
111#14583214C2211yescharacteristic
112#14583212C2211yescharacteristic
113#14583209C2211yescharacteristic
114#14583208C2211yescharacteristic
115#14583207C2211yescharacteristic
116#14583206C2211yescharacteristic
117#14583206C2211yescharacteristic
118#14583205C2211yescharacteristic
119#14583204C2211yescharacteristic
120#14583203C2211yescharacteristic
121#14583200C2211yescharacteristic
122#14583196C2211yescharacteristic
123#14583192C2211yescharacteristic
124#14583188C2211yescharacteristic
125#14583182C2211yescharacteristic
126#14583178C2211yescharacteristic
127#14583156C2211yescharacteristic
128#14583156C2211yescharacteristic
129#14583148C2211yescharacteristic
130#14583148C2211yescharacteristic
131#14583145C2211yescharacteristic
132#14583145C2211yescharacteristic
133#14583138C2211yescharacteristic
134#14583138C2211yescharacteristic
135#14583137C2211yescharacteristic
136#14583137C2211yescharacteristic
137#14583130C2211yescharacteristic
138#14583130C2211yescharacteristic
139#14583129C2211yescharacteristic
140#14583129C2211yescharacteristic
141#14583006C2211yescharacteristic
142#14583003C2211yescharacteristic
143#14583002C2211yescharacteristic
144#14582998C2211yescharacteristic
145C4×#10621885C2211yescharacteristic
146C4×#10621873C2211yescharacteristic
147C4×#10621884C2211yescharacteristic
148#14582976C2211yescharacteristic
149#14582968C2211yescharacteristic
150#14582968C2211yescharacteristic
151#14582967C2211yescharacteristic
152#14582967C2211yescharacteristic
153C8×D172C2211yescharacteristic
154D4×C43⋊C8C2211yescharacteristic
155#14582941C2211yescharacteristic
156#14582941C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582938C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582936C2211yescharacteristic
167#14582936C2211yescharacteristic
168#14582935C2211yescharacteristic
169#14582935C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172C2×#13063258C2211yescharacteristic
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175C2×#13063256C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#552C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic
193C43×#484C2211yescharacteristic
194C43×#484C2211yescharacteristic
195C43×#479C2211yescharacteristic
196C43×#479C2211yescharacteristic
197C43×#470C2211yescharacteristic
198C43×#470C2211yescharacteristic
199C4×Q16×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#428C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207#13063357—24no—
208C2×#10621885C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211#13063333—24no—
212#13063333—24no—
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C22×C43⋊C8C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063324—21no—
224#13063324—21no—
225#13063324D411yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063321D411yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063319—21no—
236#13063319—21no—
237#13063319—21no—
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
262#13063311D411yescharacteristic
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063309—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063305—21no—
278#13063305C2311yescharacteristic
279#13063305C2311yescharacteristic
280#13063304—21no—
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063302—21no—
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063301C2311yescharacteristic
292#13063301C2311yescharacteristic
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300D411yescharacteristic
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298D411yescharacteristic
308#13063298D411yescharacteristic
309#13063297—21no—
310#13063296D411yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318#13063290—21no—
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290C2311yescharacteristic
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331#13063287—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287—21no—
335#13063287C2311yescharacteristic
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43C2311yescharacteristic
343C4×C22⋊D43C2311yescharacteristic
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350#13063284C2311yescharacteristic
351#13063284C2311yescharacteristic
352#13063283—21no—
353#13063283—21no—
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C42×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C4×C43⋊C8C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43C2×D411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43C2×D411yescharacteristic
491C2×C22⋊D43C2×D411yescharacteristic
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43—21no—
497C22×Dic43—21no—
498#10621902—22no—
499#10621902—22no—
500Q8×D43—22no—
501Q8×D43—22no—
502#10621898—22no—
503#10621898—22no—
504#10621898—22no—
505#10621898—22no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172C2×D411yescharacteristic
510C2×D172C2×D411yescharacteristic
511C2×D172C2×D411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
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—21no—
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535Q16×C43—22no—
536M16×C43—22no—
537M16×C43—22no—
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43C2×D411yescharacteristic
568C22⋊C4×C43C2×D411yescharacteristic
569C42×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43C2×D411yescharacteristic
579C22⋊Dic43C2×D411yescharacteristic
580#10621885—22no—
581#10621884—22no—
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)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43C2×D411yescharacteristic
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C2×C43⋊C8—22no—
662C2×C43⋊C8—22no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667#10621873—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872—22no—
671#10621872#4114yes—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43—22no—
676C23×C43C22×D411yescharacteristic
677C23×C43C22×D411yescharacteristic
678C22×D43—21no—
679C22×D43C22×D411yescharacteristic
680C22×D43C22×D411yescharacteristic
681C22×D43C22×D411yescharacteristic
682Q8×C43—21no—
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—21no—
686D4×C43—41no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—81no—
700C2×C4×C43—81no—
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C2511yescharacteristic
706C22⋊D43—22no—
707C22⋊D43—22no—
708C22⋊D43—22no—
709C22⋊D43—22no—
710C22⋊D43—41no—
711C22⋊D43—41no—
712C22⋊D43—81no—
713C22⋊D43—81no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—81no—
722C2×Dic43—81no—
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728D172—22no—
729D172—22no—
730D172—21no—
731D172—21no—
732D172—41no—
733D172—42no—
734D172—81no—
735D172—81no—
736C4×D43—21no—
737C4×D43—21no—
738C4×D43—21no—
739C4×D43—21no—
740C4×D43—41no—
741C4×D43—41no—
742C4×D43—42no—
743C4×D43—42no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749C4×D43—81no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43C2×#4112yes—
754C4×D432−1+412yes—
755Dic86—22no—
756Dic86—22no—
757Dic86—21no—
758Dic86—21no—
759Dic86—42no—
760Dic86—42no—
761Dic86—81no—
762C8×C43—21no—
763C8×C43—21no—
764C8×C43—21no—
765C8×C43C2×#4112yes—
766C43⋊C8—21no—
767C43⋊C8—21no—
768C43⋊C8—21no—
769C43⋊C8C2×#4112yes—
770#61280—431nomaximal, Sylow
771C22×C43—21no—
772C22×C43—21no—
773C22×C43—21no—
774C22×C43—21no—
775C22×C43—21no—
776C22×C43—21no—
777C22×C43C23×D411yescharacteristic
778C2×D43—21no—
779C2×D43—21no—
780C2×D43—21no—
781C2×D43—21no—
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43#54712yes—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43C22×#4111yescharacteristic
803C4×C43C2×2−1+411yescharacteristic
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—41no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43#54712yes—
816#3512—431no—
817#3507—431no—
818#3352—431no—
819#3352D4311yescharacteristic, complemented
820#3351—431no—
821#3351—431no—
822#3350—431no—
823#3350—431no—
824#3349—431no—
825#3349—431no—
826#3346—431no—
827#3346—431no—
828#3344—431no—
829#3344—431no—
830#3337—431no—
831#3337—431no—
832#3336—431no—
833#3336—431no—
834#3166—431no—
835#3099—431no—
836#3098—431no—
837#3097—431no—
838#3097—431no—
839#3076—431no—
840C2×#479—431no—
841#3063—431no—
842#3063—431no—
843C4×#137—431no—
844#2935—431no—
845#2913—431no—
846#2912—431no—
847C2×C43—41no—
848C2×C43—41no—
849C2×C43C2×#54711yescharacteristic
850C2×C43#358411yescharacteristic
851C2×C43#358611yescharacteristic
852D43—22no—
853D43—41no—
854D43—41no—
855D43—81no—
856C2×#137—431no—
857C2×#131—431no—
858C2×#131—431no—
859#559—861no—
860#557—861no—
861#556—431no—
862#556—431no—
863#556—861no—
864#556—861no—
865#554—431no—
866#554—431no—
867#553—431no—
868#553—431no—
869#553—431no—
870#553—431no—
871#553—861no—
872#553—861no—
873#553—861no—
874#553—861no—
875#552—431no—
876#552—431no—
877#552—431no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552C2×D4311yescharacteristic
882#552C2×D4311yescharacteristic
883#541—861no—
884#540—861no—
885#539—861no—
886#539—861no—
887#537—431no—
888#537—431no—
889#536—431no—
890#536—431no—
891#533—431no—
892#532—431no—
893#529—861no—
894#529—861no—
895#529—861no—
896#529—861no—
897C2×#125—431no—
898#520—431no—
899#520—431no—
900#520—431no—
901#520—431no—
902C4×#41—431no—
903C2×C4×Q8—431no—
904#501—431no—
905#501—431no—
906#501—431no—
907#501—431no—
908#499—431no—
909#499—431no—
910#499—431no—
911#499C2×D4311yescharacteristic
912#485—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485C2×D4311yescharacteristic
923#485C2×D4311yescharacteristic
924#484—431no—
925#484—431no—
926#484—431no—
927#484—431no—
928#484C2×D4311yescharacteristic
929#484C2×D4311yescharacteristic
930#483—431no—
931#483—431no—
932#483—431no—
933#483—431no—
934#483—431no—
935#483—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#481—431no—
941#481—431no—
942#480—431no—
943#480—431no—
944#479—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479—431no—
949#479—431no—
950#479—431no—
951#479—431no—
952#479C2×D4311yescharacteristic
953#479C2×D4311yescharacteristic
954#478—431no—
955#478—431no—
956#477—431no—
957#476—431no—
958#475—431no—
959#474—431no—
960#470—431no—
961#470—431no—
962#470C2×D4311yescharacteristic
963#470C2×D4311yescharacteristic
964#468—431no—
965#468—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#467—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465—431no—
976#441—431no—
977#441—431no—
978#440—431no—
979#440—431no—
980C4×Q16—431no—
981C4×Q16C2×D4311yescharacteristic
982C4×SD16—431no—
983C4×SD16—431no—
984#436—431no—
985#436C2×D4311yescharacteristic
986#435—431no—
987#435—431no—
988#435—431no—
989#435—431no—
990C8×D4—431no—
991C8×D4—431no—
992#428—431no—
993#428—431no—
994#428—431no—
995#428—431no—
996#428—431no—
997#428—431no—
998#428—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#428—431no—
1003#428C2×D4311yescharacteristic
1004#428C2×D4311yescharacteristic
1005#427—431no—
1006#427—431no—
1007#427—431no—
1008#427—431no—
1009#427—431no—
1010#427—431no—
1011C2×#107—431no—
1012C2×#107—431no—
1013C2×#107—431no—
1014C2×#106—431no—
1015C2×#106—431no—
1016C2×#106—431no—
1017C2×C4⋊C8—431no—
1018#419—431no—
1019#417—431no—
1020#416—431no—
1021#416—431no—
1022C2×#103—431no—
1023C2×#103—431no—
1024#408—431no—
1025#408—431no—
1026C4×M16—431no—
1027C43#6128011yescharacteristic, complemented, Sylow
1028C2×#41—431no—
1029C2×#41—431no—
1030C2×#41—431no—
1031C22×Q8—431no—
1032#137—864no—
1033C2×Q16—431no—
1034C2×Q16C22×D4311yescharacteristic
1035C2×SD16—431no—
1036C2×SD16—431no—
1037#131—864no—
1038#131—864no—
1039C2×M16—431no—
1040C2×M16—431no—
1041C2×M16—431no—
1042C2×M16—431no—
1043C2×M16C22×D4311yescharacteristic
1044C2×M16C22×D4311yescharacteristic
1045C22×C8—431no—
1046C22×C8—431no—
1047C22×C8—431no—
1048C22×C8—431no—
1049C22×C8—431no—
1050C22×C8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056#127—431no—
1057#126—21no—
1058#126—21no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#125—21no—
1074#125—21no—
1075#125—431no—
1076#125—431no—
1077#125—431no—
1078#125—431no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#125—861no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125C22×D4311yescharacteristic
1090#125C22×D4311yescharacteristic
1091#124—431no—
1092#124—431no—
1093#124—861no—
1094#124—861no—
1095#124—861no—
1096#124—861no—
1097#123—21no—
1098#123—21no—
1099#123—861no—
1100#123—861no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8C22×D4311yescharacteristic
1130C22⋊Q8C22×D4311yescharacteristic
1131C22⋊Q8C22×D4311yescharacteristic
1132C22⋊Q8C22×D4311yescharacteristic
1133#121—431no—
1134#121—431no—
1135#121—431no—
1136#121—431no—
1137#121—431no—
1138#121—431no—
1139#121—431no—
1140#121—431no—
1141#121—861no—
1142#121—861no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151C4×Q8—431no—
1152C4×Q8—431no—
1153C4×Q8—431no—
1154C4×Q8—431no—
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×Q8—861no—
1165C4×Q8C22×D4311yescharacteristic
1166C4×Q8C22×D4311yescharacteristic
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4C22×D4311yescharacteristic
1193#117—21no—
1194#117—21no—
1195#117—431no—
1196#117—431no—
1197#117—431no—
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—431no—
1203#117—431no—
1204#117—861no—
1205#117—861no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117C22×D4311yescharacteristic
1212#117C22×D4311yescharacteristic
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4—861no—
1224C2×C4⋊C4—861no—
1225C2×C4⋊C4C22×D4311yescharacteristic
1226C2×C4⋊C4C22×D4311yescharacteristic
1227C2×C42—431no—
1228C2×C42—861no—
1229C2×C42—861no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#107C22×D4311yescharacteristic
1247#107C22×D4311yescharacteristic
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106C22×D4311yescharacteristic
1263#106C22×D4311yescharacteristic
1264#106C22×D4311yescharacteristic
1265#106C22×D4311yescharacteristic
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8C22×D4311yescharacteristic
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294C22⋊C8—431no—
1295C22⋊C8—431no—
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8C22×D4311yescharacteristic
1301C22⋊C8C22×D4311yescharacteristic
1302#97—431no—
1303#97—431no—
1304C4×C8—431no—
1305C4×C8C22×D4311yescharacteristic
1306#41—862no—
1307#41—862no—
1308#41—862no—
1309#41—862no—
1310#41—862no—
1311#41—862no—
1312C2×Q8—431no—
1313C2×Q8—431no—
1314C2×Q8—431no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—862no—
1319C2×Q8—862no—
1320C2×Q8C23×D4311yescharacteristic
1321C2×Q8C23×D4311yescharacteristic
1322C2×D4—431no—
1323C2×D4—431no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—431no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4D4×D4311yescharacteristic
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
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—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4C23×D4311yescharacteristic
1359C22×C4C23×D4311yescharacteristic
1360Q16—22no—
1361Q16—862no—
1362SD16—862no—
1363SD16—862no—
1364M16—22no—
1365M16—22no—
1366M16—434no—
1367M16—862no—
1368M16—862no—
1369M16—862no—
1370C2×C8—431no—
1371C2×C8—431no—
1372C2×C8—431no—
1373C2×C8—431no—
1374C2×C8—862no—
1375C2×C8—862no—
1376C2×C8—862no—
1377C2×C8—862no—
1378C2×C8—862no—
1379C2×C8—862no—
1380C2×C8C23×D4311yescharacteristic
1381C2×C8C23×D4311yescharacteristic
1382C2×C8C23×D4311yescharacteristic
1383C2×C8C23×D4311yescharacteristic
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
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⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4D4×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C4⋊C4C23×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4D4×D4311yescharacteristic
1479C22⋊C4D4×D4311yescharacteristic
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—431no—
1485C42—431no—
1486C42—431no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42C23×D4311yescharacteristic
1501C23—431no—
1502C23—431no—
1503C23—431no—
1504C23—861no—
1505C23C2×D4×D4311yescharacteristic
1506C23C2×D4×D4311yescharacteristic
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—862no—
1512Q8—862no—
1513Q8—861no—
1514Q8—861no—
1515Q8—3441no—
1516Q8—1722no—
1517Q8—1722no—
1518D4—41no—
1519D4—862no—
1520D4—862no—
1521D4—862no—
1522D4—862no—
1523D4—862no—
1524D4—862no—
1525D4—861no—
1526D4—861no—
1527D4—3441no—
1528D4—3441no—
1529D4—3441no—
1530D4—3441no—
1531D4—1721no—
1532D4—1722no—
1533D4—1721no—
1534D4—1721no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—81no—
1548C2×C4—81no—
1549C2×C4—431no—
1550C2×C4—432no—
1551C2×C4—432no—
1552C2×C4—431no—
1553C2×C4—431no—
1554C2×C4—431no—
1555C2×C4—431no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—3441no—
1571C2×C4—3441no—
1572C2×C4—3441no—
1573C2×C4—3441no—
1574C2×C4—3441no—
1575C2×C4—3441no—
1576C2×C4—3441no—
1577C2×C4—3441no—
1578C2×C4—1721no—
1579C2×C4—1721no—
1580C2×C4—1722no—
1581C2×C4—1722no—
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C2×D4×D4311yescharacteristic
1586C2×C4C24×D4311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—432no—
1591C8—861no—
1592C8—861no—
1593C8—861no—
1594C8#41×D4312yes—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—432no—
1602C22—861no—
1603C22—861no—
1604C22—861no—
1605C22—861no—
1606C22—861no—
1607C22—861no—
1608C22—861no—
1609C22—861no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22C22×D4×D4311yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—432no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—1721no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4C2×#41×D4311yescharacteristic
1639C42−1+4×D4311yescharacteristic
1640C2—41no—
1641C2—41no—
1642C2—862no—
1643C2—3441no—
1644C2—1721no—
1645C2—1721no—
1646C2#547×D4311yescharacteristic
1647C2#1914936811yescharacteristic
1648C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3352C2
socleC22×C43C23×D4
prime radical#19148509C2
hypercenter#3352D43
hypocenterC43#61280
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3352

Complements

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

NH ≅ G/Ntype
2. #19148454C2semidirect
3. #19147167C2semidirect
4. #19147157C2semidirect
5. #19147152C2semidirect
6. #19147141C2semidirect
7. #19147138C2semidirect
8. #19147123C2semidirect
9. #19147120C2semidirect
10. #19147084C2semidirect
11. #19147081C2semidirect
12. #19147048C2semidirect
13. #19147045C2semidirect
14. #19146974C2semidirect
15. #19146973C2semidirect
16. #19146965C2semidirect
17. #19146957C2semidirect
18. #19145143C2semidirect
19. #19144581C2semidirect
20. #19144574C2semidirect
21. #19144563C2semidirect
22. #19144561C2semidirect
23. #19144382C2semidirect
24. #479×D43C2semidirect
25. #19144283C2semidirect
26. #19144283C2semidirect
27. C4×#13063357C2semidirect
28. #19143340C2semidirect
29. #19143194C2semidirect
30. #19143189C2semidirect
31. C43×#3352C2semidirect
819. #3352D43semidirect
1027. C43#61280semidirect

Maximal subgroups

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

subgroupindex
#191485092
#191484542
#191471672
#191471572
#191471522
#191471412
#191471382
#191471232
#191471202
#191470842
#191470812
#191470482
#191470452
#191469742
#191469732
#191469652
#191469572
#191451432
#191445812
#191445742
#191445632
#191445612
#191443822
#479×D432
#191442832
C4×#130633572
#191433402
#191431942
#191431892
C43×#33522
#6128043