Finite Group Databasebeta

← #25978211

Subgroups — #25978211

Order 11008.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148173C211yesmaximal, characteristic, complemented
2#19148151C211yesmaximal, characteristic
3#19147623C211yesmaximal, characteristic, complemented
4#19147502C211yesmaximal, characteristic, complemented
5#19147373C211yesmaximal, characteristic, complemented
6#19147332C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147049C211yesmaximal, characteristic, complemented
9#19147045C211yesmaximal, characteristic, complemented
10#19146906C211yesmaximal, characteristic, complemented
11#19146884C211yesmaximal, characteristic, complemented
12#19146675C211yesmaximal, characteristic, complemented
13#19146671C211yesmaximal, characteristic, complemented
14#19146645C211yesmaximal, characteristic, complemented
15#19146641C211yesmaximal, characteristic, complemented
16#19146238C211yesmaximal, characteristic, complemented
17#19146112C211yesmaximal, characteristic, complemented
18#19146104C211yesmaximal, characteristic, complemented
19#19145197C211yesmaximal, characteristic, complemented
20#19145178C211yesmaximal, characteristic, complemented
21#19144673C211yesmaximal, characteristic, complemented
22#19144671C211yesmaximal, characteristic, complemented
23#19144664C211yesmaximal, characteristic, complemented
24#19144660C211yesmaximal, characteristic, complemented
25#19144632C211yesmaximal, characteristic, complemented
26#19144601C211yesmaximal, characteristic, complemented
27#19143557C211yesmaximal, characteristic, complemented
28C4×#13063358C211yesmaximal, characteristic, complemented
29C4×#13063357C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#3172C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583629C2211yescharacteristic, complemented
36#14583626—21no—
37#14583624C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583613C2211yescharacteristic
40#14583610C2211yescharacteristic
41#14583607C2211yescharacteristic
42#14583607C2211yescharacteristic, complemented
43#14583605—21no—
44#14583605C2211yescharacteristic
45#14583603—21no—
46#14583603—21no—
47#14583594—21no—
48#14583587C2211yescharacteristic
49#14583585—21no—
50#14583583C2211yescharacteristic
51#14583577—21no—
52#14583574—21no—
53#14583564C2211yescharacteristic
54#14583562C2211yescharacteristic
55#14583562C2211yescharacteristic, complemented
56#14583551C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583453—21no—
60#14583453—21no—
61#14583453C2211yescharacteristic
62#14583453C2211yescharacteristic
63#14583453C2211yescharacteristic, complemented
64#14583452—21no—
65#14583431—21no—
66#14583431C2211yescharacteristic
67#14583427—21no—
68#14583408—21no—
69C4×#10621902C2211yescharacteristic
70C4×#10621898C2211yescharacteristic
71C4×#10621898C2211yescharacteristic
72#14583367—21no—
73C2×C4×Dic86C2211yescharacteristic, complemented
74C4×Q8×D43C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic, complemented
76C4×D4×D43C2211yescharacteristic
77#117×D43—21no—
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic
81#14583277C2211yescharacteristic, complemented
82#14583266C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic
84#14583248C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic
91#14583233C2211yescharacteristic
92#14583231C2211yescharacteristic
93#14583231C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic
95#14583227C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic
97#14583210C2211yescharacteristic
98#14583209C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic
105#14583187C2211yescharacteristic
106#14583182C2211yescharacteristic, complemented
107#14583181C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583176C2211yescharacteristic
110#14583158C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583141C2211yescharacteristic
115#14583139C2211yescharacteristic
116#14583139C2211yescharacteristic
117#14583137C2211yescharacteristic
118#14583120C2211yescharacteristic
119#14583119C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic
122#14583108C2211yescharacteristic, complemented
123#14583107C2211yescharacteristic, complemented
124#14583107C2211yescharacteristic, complemented
125#14583106C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic
127#14583103C2211yescharacteristic
128#14583102C2211yescharacteristic
129#14583101C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583060C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583059C2211yescharacteristic
134#14583056C2211yescharacteristic
135#14583056C2211yescharacteristic, complemented
136#14583054C2211yescharacteristic, complemented
137#14583053C2211yescharacteristic
138#14583051C2211yescharacteristic
139#14583048C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583036C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583007C2211yescharacteristic, complemented
145#14583007C2211yescharacteristic, complemented
146#14583006C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14582998C2211yescharacteristic
152C4×Dic172C2211yescharacteristic, complemented
153C4×Dic172C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155C4×#10621885C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159C4×#10621873C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162C4×#10621884C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166C4×#10621883C2211yescharacteristic
167#14582984C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic
171#14582972C2211yescharacteristic
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic
174#14582952C2211yescharacteristic, complemented
175#14582950C2211yescharacteristic
176#14582950C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#106×D43C2211yescharacteristic
180#14582909C2211yescharacteristic, complemented
181#14582906C2211yescharacteristic, complemented
182#14582901C2211yescharacteristic
183#14582899C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#102×D43C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic
192C43×#491C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic
194C43×#470C2211yescharacteristic, complemented
195C43×#470C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C4×Q16×C43C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898D411yescharacteristic
205C2×#10621898C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063358—24no—
212#13063357—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—24no—
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063324—21no—
231#13063324—21no—
232#13063324—21no—
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323—21no—
238#13063323—21no—
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063320—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063316—21no—
248#13063316—21no—
249#13063316—21no—
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063312—21no—
260#13063312C2311yescharacteristic
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305C2311yescharacteristic
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063303—21no—
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#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063301—21no—
291#13063301—21no—
292#13063301C2311yescharacteristic
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063298—21no—
296#13063298—21no—
297#13063297—21no—
298#13063296—21no—
299#13063296C2311yescharacteristic
300#13063295—21no—
301#13063293—21no—
302Q8×Dic43C2311yescharacteristic
303Q8×Dic43C2311yescharacteristic
304Q8×Dic43C2311yescharacteristic
305C4×Dic86—21no—
306C4×Dic86—21no—
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86D411yescharacteristic
313C4×Dic86C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326C4×D172—21no—
327C4×D172D411yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332#13063287—21no—
333#13063287—21no—
334#13063287—21no—
335#13063287C2311yescharacteristic
336#13063287C2311yescharacteristic
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43D411yescharacteristic
342C4×C22⋊D43D411yescharacteristic
343C4×C22⋊D43C2311yescharacteristic
344C4×C22⋊D43C2311yescharacteristic
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#13063284—21no—
351#13063284D411yescharacteristic
352#13063284C2311yescharacteristic
353#13063283—21no—
354#13063283—21no—
355#13063283—21no—
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282D411yescharacteristic
362#13063282D411yescharacteristic
363#13063281—21no—
364#13063281—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C2×C4×Dic43—21no—
378C42×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381C42×D43—21no—
382C42×D43C2311yescharacteristic
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456C4×Q8×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43—21no—
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43C2×D411yescharacteristic
490C22×C4×C43C2×D411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500#10621902—22no—
501#10621902—41no—
502Q8×D43—22no—
503Q8×D43—22no—
504Q8×D43—41no—
505Q8×D43—41no—
506D4×D43—22no—
507D4×D43—41no—
508#10621898—24no—
509#10621898—22no—
510#10621898—41no—
511C2×D172—21no—
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
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×D43—21no—
525C2×C4×D43—44no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—22no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—41no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—41no—
546SD16×C43—22no—
547SD16×C43—41no—
548M16×C43—22no—
549M16×C43—41no—
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2×D411yescharacteristic
580C42×C43C2×D411yescharacteristic
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621885—22no—
591#10621885—41no—
592#10621885—41no—
593#10621885—41no—
594#10621884—22no—
595#10621884—22no—
596#10621883—22no—
597#10621883—41no—
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)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680Dic172—22no—
681Dic172—22no—
682#10621873—22no—
683#10621873#4114yescomplemented
684#10621872—22no—
685#10621872—41no—
686C8×D43—22no—
687C8×D43—41no—
688C23×C43—21no—
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—81no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—81no—
706C2×C4×C43—22no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—41no—
717C2×C4×C43—42no—
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—22no—
725C22⋊D43—22no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—81no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—42no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745D172—22no—
746D172—21no—
747D172—42no—
748D172C2×#4112yes—
749C4×D43—22no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—41no—
755C4×D43—41no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43#13714yescomplemented
768Dic86—21no—
769Dic86—22no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—21no—
774Dic86—42no—
775Dic86—42no—
776Dic86—42no—
777Dic86—81no—
778Dic86—81no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61438—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—22no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—84no—
806C2×D43C2×#13712yes—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C2×#13712yes—
819C4×C43C22×#4111yescharacteristic
820C4×C43#58511yescharacteristic
821Dic43—21no—
822Dic43—21no—
823Dic43—22no—
824Dic43—21no—
825Dic43—21no—
826Dic43—21no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43C2×#13712yes—
834Q8×#41—431no—
835#3475—431no—
836#3398—431no—
837#3385—431no—
838#3372—431no—
839#3369—431no—
840#3357—431no—
841#3344—431no—
842#3344—431no—
843#3331—431no—
844#3329—431no—
845#3314—431no—
846#3314—431no—
847#3312—431no—
848#3312—431no—
849#3276—431no—
850#3266—431no—
851#3266—431no—
852#3172—431no—
853#3172D4311yescharacteristic, complemented
854#3170—431no—
855#3108—431no—
856#3108—431no—
857#3107—431no—
858#3107—431no—
859#3104—431no—
860#3101—431no—
861#2965—431no—
862C4×#137—431no—
863C4×#137—431no—
864C2×C4×SD16—431no—
865C2×C43—41no—
866C2×C43—81no—
867C2×C43D4×#4111yescharacteristic
868C2×C43C22×#13711yescharacteristic
869C2×C43#358411yescharacteristic
870D43—22no—
871D43—41no—
872D43—42no—
873C2×#137—431no—
874C2×#137—431no—
875C22×SD16—431no—
876Q82—431no—
877#557—431no—
878#557—861no—
879#556—431no—
880#555—431no—
881#554—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—861no—
886#554—861no—
887#554—861no—
888#553—861no—
889#552—431no—
890#552—431no—
891#552—861no—
892#551—861no—
893#551—861no—
894D4×Q8—431no—
895D4×Q8—431no—
896D4×Q8—431no—
897#547—431no—
898#546—431no—
899#546—431no—
900#533—431no—
901#533—431no—
902#533—431no—
903#533—861no—
904#533—861no—
905#533—861no—
906#533C2×D4311yescharacteristic, complemented
907#529—431no—
908#529—861no—
909#529—861no—
910#529C2×D4311yescharacteristic
911#525—861no—
912C4×#41—431no—
913C4×#41—431no—
914C4×#41—431no—
915C4×#41—861no—
916C2×C4×Q8—431no—
917C2×C4×Q8—431no—
918C2×C4×Q8—431no—
919C2×C4×D4—431no—
920C2×#117—861no—
921#501—431no—
922#501C2×D4311yescharacteristic, complemented
923#500—431no—
924#497—431no—
925#497C2×D4311yescharacteristic
926#494—431no—
927#491—431no—
928#491C2×D4311yescharacteristic, complemented
929#489—431no—
930#489C2×D4311yescharacteristic
931#487—431no—
932#487—431no—
933#485—431no—
934#485—431no—
935#485—431no—
936#485—431no—
937#484—431no—
938#484—431no—
939#483—431no—
940#483—431no—
941#483—431no—
942#483—431no—
943#480—431no—
944#480—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479—431no—
949#477—431no—
950#477—431no—
951#476—431no—
952#476—431no—
953#475—431no—
954#475—431no—
955#474—431no—
956#474—431no—
957#470—431no—
958#470—431no—
959#470C2×D4311yescharacteristic, complemented
960#470C2×D4311yescharacteristic, complemented
961#468—431no—
962#468—431no—
963#468C2×D4311yescharacteristic
964#468C2×D4311yescharacteristic
965#467—431no—
966#467—431no—
967#467—431no—
968#467—431no—
969#464—431no—
970#464—431no—
971#464—431no—
972#464—431no—
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#452—431no—
982#452—431no—
983#452—431no—
984#452—431no—
985#451—431no—
986#451—431no—
987#451—431no—
988#451—431no—
989#450—431no—
990#450—431no—
991#448—431no—
992#448—431no—
993#446—431no—
994#446—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16C2×D4311yescharacteristic, complemented
1010C4×Q16C2×D4311yescharacteristic, complemented
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16C2×D4311yescharacteristic
1022C4×SD16C2×D4311yescharacteristic
1023#436—431no—
1024#436—431no—
1025#435—431no—
1026#435—431no—
1027#435—431no—
1028#435—431no—
1029#431—431no—
1030#431—431no—
1031#431—431no—
1032#428—431no—
1033#428—431no—
1034C2×#106—431no—
1035#419—431no—
1036#419—431no—
1037#417—431no—
1038#417—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041C4×M16—431no—
1042C4×M16C2×D4311yescharacteristic, complemented
1043C2×C4×C8—431no—
1044C43#6143811yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41—431no—
1048C22×Q8—431no—
1049C22×Q8—431no—
1050C22×Q8—431no—
1051C22×D4—431no—
1052C23×C4—861no—
1053#137—864no—
1054#137—864no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16—431no—
1061C2×Q16C22×D4311yescharacteristic
1062C2×Q16C22×D4311yescharacteristic
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—864no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×M16—431no—
1073C2×M16—431no—
1074C2×M16C22×D4311yescharacteristic
1075C2×M16C22×D4311yescharacteristic
1076C22×C8—431no—
1077C22×C8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8—861no—
1089C4⋊Q8—861no—
1090C4⋊Q8C22×D4311yescharacteristic
1091C4⋊Q8C22×D4311yescharacteristic
1092#126—21no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—21no—
1099#125—431no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125C22×D4311yescharacteristic
1112#124—431no—
1113#124—861no—
1114#124—861no—
1115#124C22×D4311yescharacteristic
1116#123—21no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124C22⋊Q8—21no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8C22×D4311yescharacteristic
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154#121—431no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121C22×D4311yescharacteristic
1160#120—861no—
1161#120—861no—
1162C4×Q8—21no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—21no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4C22×D4311yescharacteristic
1216#117—21no—
1217#117—21no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—431no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—431no—
1246C2×C42—431no—
1247C2×C42—861no—
1248C2×C42—861no—
1249C2×C42—861no—
1250C2×C42—861no—
1251C2×C42—861no—
1252C2×C42C22×D4311yescharacteristic
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107C22×D4311yescharacteristic
1260#107C22×D4311yescharacteristic
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106C22×D4311yescharacteristic
1268#106C22×D4311yescharacteristic
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8—431no—
1272C4⋊C8—431no—
1273C4⋊C8—431no—
1274C4⋊C8—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
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#103—431no—
1292#103—431no—
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102C22×D4311yescharacteristic
1306#102C22×D4311yescharacteristic
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8—431no—
1310C22⋊C8—431no—
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313#97—431no—
1314#97—431no—
1315#97C22×D4311yescharacteristic
1316#97C22×D4311yescharacteristic
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8C22×D4311yescharacteristic
1322C4×C8C22×D4311yescharacteristic
1323C24—861no—
1324#41—864no—
1325#41—862no—
1326#41—862no—
1327#41—1721no—
1328#41—1721no—
1329C2×Q8—21no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—431no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—862no—
1340C2×Q8—861no—
1341C2×Q8—862no—
1342C2×Q8—862no—
1343C2×Q8—1721no—
1344C2×Q8—1721no—
1345C2×Q8—1721no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—21no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—862no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—1721no—
1360C2×D4C23×D4311yescharacteristic
1361C22×C4—21no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—1724no—
1383C22×C4D4×D4311yescharacteristic
1384C22×C4D4×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—22no—
1387Q16—41no—
1388Q16—862no—
1389Q16—862no—
1390Q16—862no—
1391Q16—1721no—
1392Q16—1721no—
1393Q16—1721no—
1394SD16—22no—
1395SD16—41no—
1396SD16—434no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402M16—22no—
1403M16—41no—
1404M16—862no—
1405M16—1721no—
1406C2×C8—431no—
1407C2×C8—431no—
1408C2×C8—431no—
1409C2×C8—431no—
1410C2×C8—862no—
1411C2×C8—1721no—
1412C2×C8C23×D4311yescharacteristic
1413C2×C8C23×D4311yescharacteristic
1414C2×C8C23×D4311yescharacteristic
1415C2×C8C23×D4311yescharacteristic
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42D4×D4311yescharacteristic
1527C42D4×D4311yescharacteristic
1528C42C23×D4311yescharacteristic
1529C42C23×D4311yescharacteristic
1530C23—21no—
1531C23—431no—
1532C23—431no—
1533C23—861no—
1534C23—3441no—
1535C23—1722no—
1536C23—1722no—
1537C23C2×D4×D4311yescharacteristic
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—81no—
1545Q8—432no—
1546Q8—862no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—3441no—
1555Q8—1722no—
1556Q8—1722no—
1557Q8—1722no—
1558D4—21no—
1559D4—21no—
1560D4—81no—
1561D4—432no—
1562D4—862no—
1563D4—862no—
1564D4—862no—
1565D4—861no—
1566D4—3441no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—41no—
1581C2×C4—42no—
1582C2×C4—431no—
1583C2×C4—434no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—861no—
1590C2×C4—862no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1721no—
1607C2×C4—1721no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4—1722no—
1613C2×C4—1722no—
1614C2×C4—1722no—
1615C2×C4—1722no—
1616C2×C4—1722no—
1617C2×C4C2×D4×D4311yescharacteristic
1618C2×C4C2×D4×D4311yescharacteristic
1619C2×C4C2×D4×D4311yescharacteristic
1620C2×C4C2×D4×D4311yescharacteristic
1621C2×C4C2×D4×D4311yescharacteristic
1622C2×C4C24×D4311yescharacteristic
1623C8—21no—
1624C8—21no—
1625C8—21no—
1626C8—861no—
1627C8—861no—
1628C8—861no—
1629C8—861no—
1630C8#41×D4312yes—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—432no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—861no—
1642C22—862no—
1643C22—861no—
1644C22—3444no—
1645C22—1721no—
1646C22—1721no—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—862no—
1664C4—861no—
1665C4—861no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4—1721no—
1672C4#137×D4312yes—
1673C4C2×#41×D4311yescharacteristic
1674C4#1458373511yescharacteristic
1675C2—41no—
1676C2—81no—
1677C2—862no—
1678C2—1721no—
1679C2—1722no—
1680C2#1914808111yescharacteristic
1681C2C2×#137×D4311yescharacteristic
1682C2#1914936811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3172C2
socleC22×C43C23×D4
prime radical#19148151C2
hypercenter#3172D43
hypocenterC43#61438
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3172

Complements

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

NH ≅ G/Ntype
1. #19148173C2semidirect
3. #19147623C2semidirect
4. #19147502C2semidirect
5. #19147373C2semidirect
6. #19147332C2semidirect
7. #19147216C2semidirect
8. #19147049C2semidirect
9. #19147045C2semidirect
10. #19146906C2semidirect
11. #19146884C2semidirect
12. #19146675C2semidirect
13. #19146671C2semidirect
14. #19146645C2semidirect
15. #19146641C2semidirect
16. #19146238C2semidirect
17. #19146112C2semidirect
18. #19146104C2semidirect
19. #19145197C2semidirect
20. #19145178C2semidirect
21. #19144673C2semidirect
22. #19144671C2semidirect
23. #19144664C2semidirect
24. #19144660C2semidirect
25. #19144632C2semidirect
26. #19144601C2semidirect
27. #19143557C2semidirect
28. C4×#13063358C2semidirect
29. C4×#13063357C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#3172C2semidirect
35. #14583629C22semidirect
37. #14583624C22semidirect
42. #14583607C22semidirect
55. #14583562C22semidirect
63. #14583453C22semidirect
73. C2×C4×Dic86C22semidirect
75. C4×Q8×D43C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
81. #14583277C22semidirect
82. #14583266C22semidirect
84. #14583248C22semidirect
85. #14583248C22semidirect
86. #14583242C22semidirect
87. #14583238C22semidirect
88. #14583237C22semidirect
89. #14583237C22semidirect
93. #14583231C22semidirect
95. #14583227C22semidirect
98. #14583209C22semidirect
99. #14583208C22semidirect
100. #14583203C22semidirect
101. #14583203C22semidirect
102. #14583193C22semidirect
103. #14583192C22semidirect
106. #14583182C22semidirect
107. #14583181C22semidirect
110. #14583158C22semidirect
111. #14583156C22semidirect
122. #14583108C22semidirect
123. #14583107C22semidirect
124. #14583107C22semidirect
125. #14583106C22semidirect
135. #14583056C22semidirect
136. #14583054C22semidirect
142. #14583027C22semidirect
143. #14583027C22semidirect
144. #14583007C22semidirect
145. #14583007C22semidirect
146. #14583006C22semidirect
147. #14583003C22semidirect
152. C4×Dic172C22semidirect
153. C4×Dic172C22semidirect
154. C4×#10621885C22semidirect
155. C4×#10621885C22semidirect
156. C4×#10621885C22semidirect
157. C4×#10621885C22semidirect
168. #14582975C22semidirect
169. #14582975C22semidirect
174. #14582952C22semidirect
176. #14582950C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
180. #14582909C22semidirect
181. #14582906C22semidirect
186. C4×#10621872C22semidirect
188. C43×#533C22semidirect
190. C43×#501C22semidirect
192. C43×#491C22semidirect
194. C43×#470C22semidirect
195. C43×#470C22semidirect
198. C4×Q16×C43C22semidirect
199. C4×Q16×C43C22semidirect
202. C4×M16×C43C22semidirect
683. #10621873#41semidirect
767. C4×D43#137semidirect
853. #3172D43semidirect
906. #533C2×D43semidirect
922. #501C2×D43semidirect
928. #491C2×D43semidirect
959. #470C2×D43semidirect
960. #470C2×D43semidirect
1009. C4×Q16C2×D43semidirect
1010. C4×Q16C2×D43semidirect
1042. C4×M16C2×D43semidirect
1044. C43#61438semidirect

Maximal subgroups

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

subgroupindex
#191481732
#191481512
#191476232
#191475022
#191473732
#191473322
#191472162
#191470492
#191470452
#191469062
#191468842
#191466752
#191466712
#191466452
#191466412
#191462382
#191461122
#191461042
#191451972
#191451782
#191446732
#191446712
#191446642
#191446602
#191446322
#191446012
#191435572
C4×#130633582
C4×#130633572
C4×SD16×D432
C43×#31722
#6143843