Finite Group Databasebeta

← #25975465

Subgroups — #25975465

Order 11008.

1828 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148148C211yesmaximal, characteristic
2#556×D43C211yesmaximal, characteristic, complemented
3#19147208C211yesmaximal, characteristic, complemented
4#19147205C211yesmaximal, characteristic, complemented
5#19147175C211yesmaximal, characteristic, complemented
6#19147172C211yesmaximal, characteristic, complemented
7#19147142C211yesmaximal, characteristic, complemented
8#19147140C211yesmaximal, characteristic, complemented
9#19147139C211yesmaximal, characteristic, complemented
10#19147137C211yesmaximal, characteristic, complemented
11#19147130C211yesmaximal, characteristic, complemented
12#19147125C211yesmaximal, characteristic, complemented
13#19147122C211yesmaximal, characteristic, complemented
14#19147022C211yesmaximal, characteristic, complemented
15#19147020C211yesmaximal, characteristic, complemented
16#19147004C211yesmaximal, characteristic, complemented
17#19147001C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144542C211yesmaximal, characteristic, complemented
20#19144540C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144527C211yesmaximal, characteristic, complemented
23#19144409C211yesmaximal, characteristic, complemented
24#19144398C211yesmaximal, characteristic, complemented
25#19144224C211yesmaximal, characteristic, complemented
26#19144222C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29#19143183C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3349C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C22×#10621872C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583623C2211yescharacteristic
36#14583622C2211yescharacteristic
37#14583621—21no—
38#14583620C2211yescharacteristic
39#14583620C2211yescharacteristic
40#14583620C2211yescharacteristic
41#14583619C2211yescharacteristic
42#14583618—21no—
43#14583617C2211yescharacteristic
44#14583617C2211yescharacteristic
45#14583616—21no—
46#14583616—21no—
47#14583612C2211yescharacteristic
48#14583607C2211yescharacteristic
49#14583602C2211yescharacteristic
50#14583595C2211yescharacteristic
51#14583590C2211yescharacteristic
52#14583581—21no—
53#14583574—21no—
54#14583573—21no—
55#14583550C2211yescharacteristic
56#14583541—21no—
57#14583455C2211yescharacteristic
58C4⋊Q8×D43C2211yescharacteristic
59#14583434—21no—
60#14583432—21no—
61#14583426—21no—
62#126×D43—21no—
63#126×D43—21no—
64#124×D43—21no—
65#14583412C2211yescharacteristic
66#14583412C2211yescharacteristic
67C22⋊Q8×D43C2211yescharacteristic
68C22⋊Q8×D43C2211yescharacteristic
69C4×#10621902C2211yescharacteristic
70#14583367—21no—
71C4×Q8×D43—21no—
72C4×Q8×D43C2211yescharacteristic
73C4×D4×D43C2211yescharacteristic
74C2×#13063283C2211yescharacteristic
75#117×D43C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic, complemented
93#14583238C2211yescharacteristic, complemented
94#14583238C2211yescharacteristic, complemented
95#14583237C2211yescharacteristic, complemented
96#14583237C2211yescharacteristic, complemented
97#14583237C2211yescharacteristic, complemented
98#14583236C2211yescharacteristic, complemented
99#14583234C2211yescharacteristic, complemented
100#14583233C2211yescharacteristic, complemented
101#14583231C2211yescharacteristic, complemented
102#14583230C2211yescharacteristic, complemented
103#14583228C2211yescharacteristic, complemented
104#14583227C2211yescharacteristic, complemented
105#14583226C2211yescharacteristic, complemented
106#14583226C2211yescharacteristic, complemented
107#14583225C2211yescharacteristic, complemented
108#14583225C2211yescharacteristic, complemented
109#14583224C2211yescharacteristic, complemented
110#14583224C2211yescharacteristic, complemented
111#14583223C2211yescharacteristic, complemented
112#14583223C2211yescharacteristic, complemented
113#14583207C2211yescharacteristic, complemented
114#14583206C2211yescharacteristic, complemented
115#14583203C2211yescharacteristic, complemented
116#14583194C2211yescharacteristic, complemented
117#14583193C2211yescharacteristic, complemented
118#14583192C2211yescharacteristic, complemented
119#14583190C2211yescharacteristic, complemented
120#14583186C2211yescharacteristic, complemented
121#14583183C2211yescharacteristic, complemented
122#14583182C2211yescharacteristic, complemented
123#14583182C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic, complemented
128#14583155C2211yescharacteristic, complemented
129#14583154C2211yescharacteristic, complemented
130#14583148C2211yescharacteristic, complemented
131#14583147C2211yescharacteristic, complemented
132#14583146C2211yescharacteristic, complemented
133#14583145C2211yescharacteristic, complemented
134#14583139C2211yescharacteristic, complemented
135#14583138C2211yescharacteristic, complemented
136#14583137C2211yescharacteristic, complemented
137#14583131C2211yescharacteristic, complemented
138#14583130C2211yescharacteristic, complemented
139#14583129C2211yescharacteristic, complemented
140#14583128C2211yescharacteristic, complemented
141#14583004C2211yescharacteristic, complemented
142#14583001C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144Q16×Dic43C2211yescharacteristic, complemented
145#14582991C2211yescharacteristic, complemented
146#14582986C2211yescharacteristic, complemented
147#14582984C2211yescharacteristic, complemented
148#14582975C2211yescharacteristic
149#14582974C2211yescharacteristic
150#14582972C2211yescharacteristic
151#14582971C2211yescharacteristic
152#14582969C2211yescharacteristic
153C8×C22⋊D43C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582940C2211yescharacteristic, complemented
163#14582940C2211yescharacteristic, complemented
164#14582939C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic, complemented
170#14582938C2211yescharacteristic, complemented
171#14582937C2211yescharacteristic, complemented
172#14582936C2211yescharacteristic, complemented
173#14582936C2211yescharacteristic, complemented
174#14582935C2211yescharacteristic, complemented
175#14582935C2211yescharacteristic, complemented
176#14582934C2211yescharacteristic, complemented
177#14582934C2211yescharacteristic, complemented
178#14582921C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582899C2211yescharacteristic
184#14582899C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#485C2211yescharacteristic, complemented
194C43×#484C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#477C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic, complemented
198C43×#467C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43D411yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063357—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621877C2311yescharacteristic
215C2×#10621872—24no—
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222M16×D43—24no—
223C22×C43⋊C8C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063319—21no—
243#13063319—21no—
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063317C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063314—21no—
256#13063313—21no—
257#13063313—21no—
258#13063312—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063308—21no—
271#13063307—21no—
272#13063305—21no—
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063304C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063301C2311yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063301C2311yescharacteristic
289#13063300—21no—
290#13063300C2311yescharacteristic
291#13063300C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063298—21no—
295#13063297—21no—
296#13063295—21no—
297#13063295—21no—
298Q8×Dic43—21no—
299Q8×Dic43C2311yescharacteristic
300Q8×Dic43C2311yescharacteristic
301C4×Dic86—21no—
302C4×Dic86—21no—
303C4×Dic86—21no—
304C4×Dic86—21no—
305C4×Dic86C2311yescharacteristic
306#13063290—21no—
307#13063290—21no—
308#13063290—21no—
309#13063290—21no—
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290C2311yescharacteristic
314C4×D172—21no—
315C4×D172C2311yescharacteristic
316C4×D172C2311yescharacteristic
317D4×Dic43D411yescharacteristic
318#13063287—21no—
319#13063287—21no—
320#13063287—21no—
321#13063287—21no—
322#13063287D411yescharacteristic
323#13063287C2311yescharacteristic
324C4×C22⋊D43C2311yescharacteristic
325C4×C22⋊D43C2311yescharacteristic
326(C22⋊D43)⋊C4—21no—
327(C22⋊D43)⋊C4—21no—
328(C22⋊D43)⋊C4—21no—
329(C22⋊D43)⋊C4—21no—
330(C22⋊D43)⋊C4D411yescharacteristic
331(C22⋊D43)⋊C4D411yescharacteristic
332#13063284C2311yescharacteristic
333#13063284C2311yescharacteristic
334#13063284C2311yescharacteristic
335#13063283—21no—
336#13063283—21no—
337#13063283—21no—
338#13063283C2311yescharacteristic
339#13063283C2311yescharacteristic
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063282—21no—
348#13063282—21no—
349#13063282—21no—
350#13063282—21no—
351#13063282—21no—
352#13063281—21no—
353#13063281—21no—
354#13063281—21no—
355C2×C4⋊Dic43C2311yescharacteristic
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43D411yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×(C2×D43)⋊C4—21no—
367C22⋊C4×D43—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C22⋊C4×D43D411yescharacteristic
373C22⋊C4×D43D411yescharacteristic
374C2×C4×Dic43—21no—
375C42×D43—21no—
376C42×D43—21no—
377C42×D43—21no—
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#13063236C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#126×C43—21no—
444#126×C43—21no—
445#125×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#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
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43C2×D411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C22×Dic43—21no—
495C22×Dic43C2×D411yescharacteristic
496C22×Dic43C2×D411yescharacteristic
497#10621902—22no—
498#10621902—22no—
499Q8×D43—22no—
500Q8×D43—22no—
501Q8×D43—44no—
502D4×D43—42no—
503#10621898—44no—
504C2×D172—21no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172C2×D411yescharacteristic
508C2×D172C2411yescharacteristic
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
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×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86C2411yescharacteristic
538Q16×C43—22no—
539M16×C43—22no—
540C2×C8×C43—22no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
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×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43C2×D411yescharacteristic
570C22⋊C4×C43C2×D411yescharacteristic
571C42×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621885—22no—
585#10621884—22no—
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)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
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×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872#4114yescomplemented
677C8×D43—22no—
678C8×D43—22no—
679C23×C43C22×D411yescharacteristic
680C23×C43C22×D411yescharacteristic
681C22×D43—22no—
682C22×D43—22no—
683C22×D43—21no—
684C22×D43—41no—
685C22×D43—41no—
686C22×D43—41no—
687C22×D43—41no—
688C22×D43C22×D411yescharacteristic
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—42no—
696D4×C43—41no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—42no—
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C22⋊D43—22no—
716C22⋊D43—22no—
717C22⋊D43—42no—
718C22⋊D43—81no—
719C2×Dic43—22no—
720C2×Dic43—22no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—81no—
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734D172—21no—
735D172—21no—
736D172—41no—
737D172—42no—
738D172—42no—
739D172—81no—
740C4×D43—22no—
741C4×D43—22no—
742C4×D43—21no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—22no—
747C4×D43—22no—
748C4×D43—22no—
749C4×D43—41no—
750C4×D43—42no—
751C4×D43—42no—
752C4×D43—42no—
753C4×D43—42no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43C2×#4112yes—
760C4×D432−1+412yes—
761Dic86—21no—
762Dic86—21no—
763Dic86—42no—
764Dic86—42no—
765Dic86—42no—
766Dic86—42no—
767Dic86—42no—
768Dic86—81no—
769C8×C43—21no—
770C8×C43—21no—
771C8×C43—21no—
772C8×C43C2×#4112yes—
773C43⋊C8—21no—
774C43⋊C8—21no—
775C43⋊C8—21no—
776C43⋊C8C2×#4112yes—
777#61257—431nomaximal, Sylow
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—21no—
784C22×C43C23×D411yescharacteristic
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—82no—
797C2×D43—82no—
798C2×D43#54712yes—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43C22×#4111yescharacteristic
812C4×C43C2×2−1+411yescharacteristic
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43#54712yes—
824Dic43#57512yes—
825#3475—431no—
826C2×#556—431no—
827#3356—431no—
828#3356—431no—
829#3353—431no—
830#3353—431no—
831#3350—431no—
832#3350—431no—
833#3350—431no—
834#3350—431no—
835#3349—431no—
836#3349—431no—
837#3349—431no—
838#3349D4311yescharacteristic, complemented
839#3342—431no—
840#3342—431no—
841#3340—431no—
842#3340—431no—
843#3165—431no—
844#3095—431no—
845#3095—431no—
846#3093—431no—
847#3093—431no—
848#3079—431no—
849#3078—431no—
850#3056—431no—
851#3056—431no—
852C4×#137—431no—
853D4×M16—431no—
854#2911—431no—
855#2911—431no—
856C2×C43—41no—
857C2×C43—41no—
858C2×C43C2×#54711yescharacteristic
859C2×C43C2×#57511yescharacteristic
860C2×C43#358611yescharacteristic
861D43—22no—
862D43—41no—
863D43—41no—
864D43—81no—
865C2×#137—431no—
866C22×M16—431no—
867C22×M16—431no—
868#556—431no—
869#556—431no—
870#556—431no—
871#556—431no—
872#556—431no—
873#556—431no—
874#556—431no—
875#556—431no—
876#556—861no—
877#556—861no—
878#556—861no—
879#556—861no—
880#556C2×D4311yescharacteristic
881#555—431no—
882#554—431no—
883#553—431no—
884#553—431no—
885#552—431no—
886#552—861no—
887#552C2×D4311yescharacteristic
888#551—861no—
889#551—861no—
890#547—431no—
891#546—861no—
892#533—431no—
893C2×C4⋊Q8—431no—
894#529—861no—
895#529—861no—
896#529—861no—
897C2×#126—861no—
898C2×#126—861no—
899C2×#124—861no—
900#525—431no—
901#525—431no—
902C2×C22⋊Q8—431no—
903C2×C22⋊Q8—431no—
904C4×#41—431no—
905C4×#41—861no—
906C2×C4×Q8—431no—
907C2×C4×Q8—861no—
908C2×C4×D4—431no—
909C2×#117—431no—
910C2×#117—431no—
911C2×#117—431no—
912C2×#117—431no—
913#501—431no—
914#501—431no—
915#501—431no—
916#501C2×D4311yescharacteristic, complemented
917#500—431no—
918#500—431no—
919#498—431no—
920#498—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485C2×D4311yescharacteristic, complemented
935#485C2×D4311yescharacteristic, complemented
936#485C2×D4311yescharacteristic, complemented
937#484—431no—
938#484—431no—
939#484—431no—
940#484C2×D4311yescharacteristic, complemented
941#483—431no—
942#483—431no—
943#483—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#479C2×D4311yescharacteristic, complemented
957#477—431no—
958#477—431no—
959#477—431no—
960#477C2×D4311yescharacteristic, complemented
961#476—431no—
962#476—431no—
963#475—431no—
964#475—431no—
965#475—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#470—431no—
970#470—431no—
971#470—431no—
972#470C2×D4311yescharacteristic, complemented
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#467—431no—
978#467—431no—
979#467—431no—
980#467C2×D4311yescharacteristic, complemented
981#465—431no—
982#465—431no—
983#465—431no—
984#465—431no—
985#441—431no—
986#441C2×D4311yescharacteristic, complemented
987#440—431no—
988#440—431no—
989C4×Q16—431no—
990C4×Q16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993#436—431no—
994#436—431no—
995#435—431no—
996#435—431no—
997#435—431no—
998#435C2×D4311yescharacteristic
999C8×D4—431no—
1000C8×D4—431no—
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428—431no—
1005#428—431no—
1006#428—431no—
1007#428—431no—
1008#428—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#428C2×D4311yescharacteristic, complemented
1018#427—431no—
1019#427—431no—
1020#427—431no—
1021#427—431no—
1022#427—431no—
1023#427—431no—
1024#427—431no—
1025#427C2×D4311yescharacteristic, complemented
1026#423—431no—
1027#419—431no—
1028#419—431no—
1029#419—431no—
1030#417—431no—
1031#417—431no—
1032#417—431no—
1033#407—431no—
1034#407—431no—
1035C4×M16—431no—
1036C43#6125711yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×Q8—431no—
1040C22×Q8—861no—
1041C22×D4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044#137—864no—
1045C2×Q16—431no—
1046C2×Q16C22×D4311yescharacteristic
1047C2×SD16—431no—
1048C2×SD16—431no—
1049C2×M16—431no—
1050C2×M16—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16—431no—
1055C2×M16—431no—
1056C2×M16—864no—
1057C2×M16—864no—
1058C2×M16C22×D4311yescharacteristic
1059C22×C8—431no—
1060C22×C8—431no—
1061C22×C8—431no—
1062C22×C8C22×D4311yescharacteristic
1063C4⋊Q8—431no—
1064C4⋊Q8—431no—
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8C22×D4311yescharacteristic
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#125—21no—
1094#125—431no—
1095#125—861no—
1096#125—861no—
1097#125C22×D4311yescharacteristic
1098#124—21no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#123—21no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8C22×D4311yescharacteristic
1135C22⋊Q8C22×D4311yescharacteristic
1136C22⋊Q8C22×D4311yescharacteristic
1137C22⋊Q8C22×D4311yescharacteristic
1138#121—431no—
1139#121—431no—
1140#121—431no—
1141#121—431no—
1142#121—861no—
1143#121—861no—
1144#121—861no—
1145#120—861no—
1146#120—861no—
1147C4×Q8—21no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—431no—
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×Q8C22×D4311yescharacteristic
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
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×D4C22×D4311yescharacteristic
1185#117—21no—
1186#117—431no—
1187#117—431no—
1188#117—431no—
1189#117—431no—
1190#117—431no—
1191#117—431no—
1192#117—431no—
1193#117—431no—
1194#117—431no—
1195#117—431no—
1196#117—431no—
1197#117—431no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203#117—861no—
1204#117—861no—
1205#117—861no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117C22×D4311yescharacteristic
1210#117C22×D4311yescharacteristic
1211#117C22×D4311yescharacteristic
1212C2×C4⋊C4—431no—
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—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4—861no—
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4C22×D4311yescharacteristic
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—861no—
1227C2×C22⋊C4—861no—
1228C2×C22⋊C4—861no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C42—431no—
1233C2×C42—861no—
1234C2×C42—861no—
1235C2×C42—861no—
1236C2×C42—861no—
1237C2×C42—861no—
1238C2×C42—861no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8C22×D4311yescharacteristic
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8C22×D4311yescharacteristic
1310C22⋊C8C22×D4311yescharacteristic
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C24—431no—
1316C24—431no—
1317#41—862no—
1318#41—862no—
1319#41—1724no—
1320C2×Q8—21no—
1321C2×Q8—431no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—862no—
1328C2×Q8—862no—
1329C2×Q8—861no—
1330C2×Q8—1724no—
1331C2×Q8C23×D4311yescharacteristic
1332C2×Q8C23×D4311yescharacteristic
1333C2×D4—431no—
1334C2×D4—431no—
1335C2×D4—431no—
1336C2×D4—431no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—1722no—
1343C2×D4D4×D4311yescharacteristic
1344C22×C4—21no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—431no—
1348C22×C4—431no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—862no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—862no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4C23×D4311yescharacteristic
1371C22×C4C23×D4311yescharacteristic
1372Q16—22no—
1373Q16—862no—
1374SD16—862no—
1375SD16—862no—
1376M16—22no—
1377M16—434no—
1378M16—862no—
1379M16—862no—
1380M16—862no—
1381M16—862no—
1382M16—862no—
1383M16—862no—
1384C2×C8—22no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—862no—
1390C2×C8—862no—
1391C2×C8—862no—
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4D4×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C4⋊C4C23×D4311yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
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⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4D4×D4311yescharacteristic
1487C22⋊C4D4×D4311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42C23×D4311yescharacteristic
1513C23—431no—
1514C23—431no—
1515C23—431no—
1516C23—862no—
1517C23—862no—
1518C23—861no—
1519C23—1721no—
1520C23—1721no—
1521C23—1721no—
1522C23—1721no—
1523C23C2×D4×D4311yescharacteristic
1524C23C2×D4×D4311yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—42no—
1530Q8—861no—
1531Q8—861no—
1532Q8—3441no—
1533Q8—1722no—
1534Q8—1722no—
1535Q8—1722no—
1536Q8—1722no—
1537Q8—1722no—
1538D4—41no—
1539D4—862no—
1540D4—862no—
1541D4—861no—
1542D4—861no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1722no—
1547D4—1722no—
1548D4—1722no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—431no—
1563C2×C4—431no—
1564C2×C4—432no—
1565C2×C4—432no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—862no—
1570C2×C4—862no—
1571C2×C4—862no—
1572C2×C4—862no—
1573C2×C4—862no—
1574C2×C4—862no—
1575C2×C4—862no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—1721no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4—1722no—
1597C2×C4—1722no—
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C2×D4×D4311yescharacteristic
1602C2×C4C24×D4311yescharacteristic
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—432no—
1607C8—861no—
1608C8—861no—
1609C8—861no—
1610C8#41×D4312yes—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—432no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22—861no—
1626C22—3442no—
1627C22—3442no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—432no—
1645C4—432no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4—1721no—
1656C4C2×#41×D4311yescharacteristic
1657C42−1+4×D4311yescharacteristic
1658C2—41no—
1659C2—41no—
1660C2—862no—
1661C2—3441no—
1662C2—1721no—
1663C2—1721no—
1664C2#547×D4311yescharacteristic
1665C2#575×D4311yescharacteristic
1666C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3349C2
socleC22×C43C23×D4
prime radical#19148148C2
hypercenter#3349D43
hypocenterC43#61257
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3349

Complements

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

NH ≅ G/Ntype
2. #556×D43C2semidirect
3. #19147208C2semidirect
4. #19147205C2semidirect
5. #19147175C2semidirect
6. #19147172C2semidirect
7. #19147142C2semidirect
8. #19147140C2semidirect
9. #19147139C2semidirect
10. #19147137C2semidirect
11. #19147130C2semidirect
12. #19147125C2semidirect
13. #19147122C2semidirect
14. #19147022C2semidirect
15. #19147020C2semidirect
16. #19147004C2semidirect
17. #19147001C2semidirect
18. #19145140C2semidirect
19. #19144542C2semidirect
20. #19144540C2semidirect
21. #19144527C2semidirect
22. #19144527C2semidirect
23. #19144409C2semidirect
24. #19144398C2semidirect
25. #19144224C2semidirect
26. #19144222C2semidirect
27. #19143411C2semidirect
28. #19143328C2semidirect
29. #19143183C2semidirect
30. #19143182C2semidirect
31. C43×#3349C2semidirect
78. #14583309C22semidirect
79. #14583308C22semidirect
80. #14583305C22semidirect
81. #14583303C22semidirect
82. #14583303C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583242C22semidirect
86. #14583242C22semidirect
87. #14583241C22semidirect
88. #14583240C22semidirect
89. #14583239C22semidirect
90. #14583239C22semidirect
91. #14583238C22semidirect
92. #14583238C22semidirect
93. #14583238C22semidirect
94. #14583238C22semidirect
95. #14583237C22semidirect
96. #14583237C22semidirect
97. #14583237C22semidirect
98. #14583236C22semidirect
99. #14583234C22semidirect
100. #14583233C22semidirect
101. #14583231C22semidirect
102. #14583230C22semidirect
103. #14583228C22semidirect
104. #14583227C22semidirect
105. #14583226C22semidirect
106. #14583226C22semidirect
107. #14583225C22semidirect
108. #14583225C22semidirect
109. #14583224C22semidirect
110. #14583224C22semidirect
111. #14583223C22semidirect
112. #14583223C22semidirect
113. #14583207C22semidirect
114. #14583206C22semidirect
115. #14583203C22semidirect
116. #14583194C22semidirect
117. #14583193C22semidirect
118. #14583192C22semidirect
119. #14583190C22semidirect
120. #14583186C22semidirect
121. #14583183C22semidirect
122. #14583182C22semidirect
123. #14583182C22semidirect
124. #14583182C22semidirect
125. #14583178C22semidirect
126. #14583178C22semidirect
127. #14583156C22semidirect
128. #14583155C22semidirect
129. #14583154C22semidirect
130. #14583148C22semidirect
131. #14583147C22semidirect
132. #14583146C22semidirect
133. #14583145C22semidirect
134. #14583139C22semidirect
135. #14583138C22semidirect
136. #14583137C22semidirect
137. #14583131C22semidirect
138. #14583130C22semidirect
139. #14583129C22semidirect
140. #14583128C22semidirect
141. #14583004C22semidirect
142. #14583001C22semidirect
143. #14582997C22semidirect
144. Q16×Dic43C22semidirect
145. #14582991C22semidirect
146. #14582986C22semidirect
147. #14582984C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
162. #14582940C22semidirect
163. #14582940C22semidirect
164. #14582939C22semidirect
169. #14582938C22semidirect
170. #14582938C22semidirect
171. #14582937C22semidirect
172. #14582936C22semidirect
173. #14582936C22semidirect
174. #14582935C22semidirect
175. #14582935C22semidirect
176. #14582934C22semidirect
177. #14582934C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
193. C43×#485C22semidirect
194. C43×#484C22semidirect
195. C43×#479C22semidirect
196. C43×#477C22semidirect
197. C43×#470C22semidirect
198. C43×#467C22semidirect
199. C43×#441C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
676. #10621872#41semidirect
838. #3349D43semidirect
916. #501C2×D43semidirect
934. #485C2×D43semidirect
935. #485C2×D43semidirect
936. #485C2×D43semidirect
940. #484C2×D43semidirect
956. #479C2×D43semidirect
960. #477C2×D43semidirect
972. #470C2×D43semidirect
980. #467C2×D43semidirect
986. #441C2×D43semidirect
1017. #428C2×D43semidirect
1025. #427C2×D43semidirect
1036. C43#61257semidirect

Maximal subgroups

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

subgroupindex
#191481482
#556×D432
#191472082
#191472052
#191471752
#191471722
#191471422
#191471402
#191471392
#191471372
#191471302
#191471252
#191471222
#191470222
#191470202
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