Finite Group Databasebeta

← #25980006

Subgroups — #25980006

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148578C211yesmaximal, characteristic, complemented
2#19148551C211yesmaximal, characteristic, complemented
3#19147656C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147358C211yesmaximal, characteristic, complemented
6#19147310C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147124C211yesmaximal, characteristic, complemented
9#19147090C211yesmaximal, characteristic, complemented
10#19146884C211yesmaximal, characteristic, complemented
11#19146791C211yesmaximal, characteristic, complemented
12#19146776C211yesmaximal, characteristic, complemented
13#19146671C211yesmaximal, characteristic, complemented
14#19146660C211yesmaximal, characteristic, complemented
15#19146615C211yesmaximal, characteristic, complemented
16#19146233C211yesmaximal, characteristic, complemented
17#19146112C211yesmaximal, characteristic, complemented
18#19146089C211yesmaximal, characteristic, complemented
19#19145259C211yesmaximal, characteristic, complemented
20#19145230C211yesmaximal, characteristic, complemented
21#19144853C211yesmaximal, characteristic, complemented
22#19144844C211yesmaximal, characteristic, complemented
23#19144820C211yesmaximal, characteristic, complemented
24#19144775C211yesmaximal, characteristic, complemented
25#19144713C211yesmaximal, characteristic, complemented
26#19144698C211yesmaximal, characteristic, complemented
27#19143580C211yesmaximal, characteristic, complemented
28#19143449C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063358C211yesmaximal, characteristic, complemented
31C43×#3171C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583623C2211yescharacteristic
38#14583618C2211yescharacteristic, complemented
39#14583617—21no—
40#14583613C2211yescharacteristic
41#14583613C2211yescharacteristic
42#14583608—21no—
43#14583607C2211yescharacteristic, complemented
44#14583601C2211yescharacteristic, complemented
45#14583598—21no—
46#14583587C2211yescharacteristic
47#14583582—21no—
48#14583578—21no—
49#14583578—21no—
50#14583564C2211yescharacteristic
51#14583562C2211yescharacteristic, complemented
52#14583557C2211yescharacteristic
53#14583556—21no—
54#14583555C2211yescharacteristic, complemented
55#14583546C2211yescharacteristic
56#14583546C2211yescharacteristic
57#14583537—21no—
58#14583534C2211yescharacteristic
59#14583515—21no—
60#14583514C2211yescharacteristic
61#14583514C2211yescharacteristic
62#14583514C2211yescharacteristic, complemented
63#14583507C2211yescharacteristic, complemented
64#14583506—21no—
65#14583481—21no—
66#14583481—21no—
67#14583433C2211yescharacteristic
68#14583428—21no—
69#14583426—21no—
70#14583426—21no—
71#124×D43—21no—
72#14583378C2211yescharacteristic, complemented
73#14583375C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×#10621898C2211yescharacteristic
77C2×C4×Dic86C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic, complemented
81#14583282C2211yescharacteristic, complemented
82#14583257C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic, complemented
93#14583221C2211yescharacteristic
94#14583220C2211yescharacteristic, complemented
95#14583211C2211yescharacteristic
96#14583210C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583203C2211yescharacteristic, complemented
99#14583201C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic
101#14583196C2211yescharacteristic
102#14583193C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583191C2211yescharacteristic, complemented
105#14583191C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583177C2211yescharacteristic, complemented
110#14583158C2211yescharacteristic, complemented
111#14583144C2211yescharacteristic
112#14583144C2211yescharacteristic, complemented
113#14583142C2211yescharacteristic
114#14583141C2211yescharacteristic, complemented
115#14583139C2211yescharacteristic, complemented
116#14583132C2211yescharacteristic
117#14583127C2211yescharacteristic
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583119C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic
123#14583112C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic
126#14583103C2211yescharacteristic
127#14583102C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic
129#14583096C2211yescharacteristic
130#14583062C2211yescharacteristic, complemented
131#14583059C2211yescharacteristic
132#14583056C2211yescharacteristic, complemented
133#14583051C2211yescharacteristic
134#14583051C2211yescharacteristic
135#14583048C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583041C2211yescharacteristic
138#14583037C2211yescharacteristic, complemented
139#14583037C2211yescharacteristic, complemented
140#14583036C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583007C2211yescharacteristic, complemented
147#14583007C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14583001C2211yescharacteristic
152#14582999C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582999C2211yescharacteristic, complemented
156#14582999C2211yescharacteristic, complemented
157#14582998C2211yescharacteristic
158#14582997C2211yescharacteristic
159#14582996C2211yescharacteristic, complemented
160C4×Dic172C2211yescharacteristic, complemented
161C4×Dic172C2211yescharacteristic, complemented
162#14582990C2211yescharacteristic, complemented
163C4×#10621873C2211yescharacteristic
164C4×#10621873C2211yescharacteristic
165SD16×Dic43C2211yescharacteristic, complemented
166#14582986C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic
171#14582972C2211yescharacteristic
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582958C2211yescharacteristic, complemented
176#14582956C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582934C2211yescharacteristic, complemented
180#14582909C2211yescharacteristic, complemented
181#14582906C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582901C2211yescharacteristic
184#14582892C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic
189C43×#529C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#490C2211yescharacteristic
193C43×#489C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C4×SD16×C43C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211#13063358—24no—
212#13063349—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224SD16×D43—24no—
225C2×#10621882C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063324—21no—
231#13063324—21no—
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319D411yescharacteristic
242#13063319D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063317—21no—
250#13063317D411yescharacteristic
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063314—21no—
258#13063313D411yescharacteristic
259#13063312—21no—
260#13063312—21no—
261#13063312—21no—
262#13063312C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063310—21no—
273#13063309—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308D411yescharacteristic
278#13063308D411yescharacteristic
279#13063307—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306—21no—
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304—21no—
290#13063304—21no—
291#13063304D411yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301C2311yescharacteristic
302#13063299D411yescharacteristic
303#13063298—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296—21no—
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063293—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43—21no—
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43C2311yescharacteristic
351C4×C22⋊D43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×C4⋊Dic43C2311yescharacteristic
373C2×Dic43⋊C4—21no—
374C2×Dic43⋊C4—21no—
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43—21no—
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
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#13063236C2311yescharacteristic
433#13063236C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#126×C43—21no—
448#125×C43C2311yescharacteristic
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#123×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
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#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—82no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2×D411yescharacteristic
498C22×C4×C43C2×D411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43C2×D411yescharacteristic
508C2×C22⋊D43C2×D411yescharacteristic
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515Q8×D43—22no—
516Q8×D43—41no—
517Q8×D43—82no—
518#10621900—22no—
519#10621900—41no—
520D4×D43—22no—
521D4×D43—22no—
522D4×D43—41no—
523D4×D43—41no—
524D4×D43—82no—
525#10621898—22no—
526#10621898—41no—
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—22no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—41no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—41no—
551D8×C43—22no—
552D8×C43—41no—
553M16×C43—22no—
554M16×C43—41no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
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—
576C22⋊C4×C43—21no—
577C42×C43—21no—
578C42×C43C2×D411yescharacteristic
579C42×C43C2×D411yescharacteristic
580C42×C43C2411yescharacteristic
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597#10621885—41no—
598#10621884—22no—
599#10621883—22no—
600#10621883—22no—
601#10621883—41no—
602#10621883—41no—
603#10621883—41no—
604#10621882—22no—
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)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—22no—
683#10621873—22no—
684#10621873#4114yescomplemented
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—42no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43—81no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—41no—
724C2×C4×C43—41no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—41no—
735C22⋊D43—41no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—42no—
751C2×Dic43—42no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762D172—21no—
763D172—41no—
764D172C2×#4112yes—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—21no—
768C4×D43—21no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—41no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61513—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—22no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—162no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—22no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3516—431no—
847#3514—431no—
848#3401—431no—
849#3386—431no—
850#3371—431no—
851#3367—431no—
852#3357—431no—
853#3349—431no—
854#3347—431no—
855#3329—431no—
856#3322—431no—
857#3321—431no—
858#3314—431no—
859#3313—431no—
860#3310—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3178—431no—
865#3175—431no—
866#3171D4311yescharacteristic, complemented
867#3124—431no—
868#3123—431no—
869#3121—431no—
870#3118—431no—
871#3112—431no—
872#3111—431no—
873#2967—431no—
874#2949—431no—
875#2946—431no—
876C4×#137—431no—
877C2×C43—41no—
878C2×C43—81no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—41no—
886D43—42no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891#557—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555—431no—
897#554—431no—
898#554—861no—
899#553—431no—
900#553—861no—
901#552—431no—
902#552—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#548—861no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#541—431no—
919#541—861no—
920#538—861no—
921#538—861no—
922#532C2×D4311yescharacteristic
923#529—431no—
924#529—861no—
925#529—861no—
926#529—861no—
927#529C2×D4311yescharacteristic, complemented
928C2×#124—861no—
929#520—431no—
930#519—431no—
931#518—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×Q8—431no—
935#501—431no—
936#501C2×D4311yescharacteristic, complemented
937#500—431no—
938#497—431no—
939#496C2×D4311yescharacteristic
940#495—431no—
941#490C2×D4311yescharacteristic
942#489—431no—
943#489—431no—
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#477—431no—
966#477—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#469C2×D4311yescharacteristic, complemented
973#469C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic, complemented
978#468C2×D4311yescharacteristic, complemented
979#467—431no—
980#467—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#441—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×SD16C2×D4311yescharacteristic, complemented
1034C4×D8—431no—
1035C4×D8C2×D4311yescharacteristic, complemented
1036C4×D8C2×D4311yescharacteristic, complemented
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#419—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16C2×D4311yescharacteristic, complemented
1058C43#6151311yescharacteristic, complemented, Sylow
1059C2×#41—21no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—431no—
1067C22×D4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—864no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8C22×D4311yescharacteristic
1100#127C22×D4311yescharacteristic
1101#126—21no—
1102#126—431no—
1103#126—431no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—21no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124C22×D4311yescharacteristic
1141#123—21no—
1142#123—431no—
1143#123—431no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—431no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8C22×D4311yescharacteristic
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—431no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—861no—
1265C2×C42—861no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—82no—
1340#41—862no—
1341#41—862no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—861no—
1355C2×Q8—862no—
1356C2×Q8—3442no—
1357C2×Q8—1721no—
1358C2×Q8—1721no—
1359C2×Q8C23×D4311yescharacteristic
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—862no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4D4×D4311yescharacteristic
1403C22×C4D4×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—41no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—41no—
1420D8—862no—
1421M16—22no—
1422M16—41no—
1423M16—862no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
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⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C42—21no—
1526C42—431no—
1527C42—431no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42D4×D4311yescharacteristic
1542C42D4×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—431no—
1549C23—431no—
1550C23—861no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—3441no—
1555C23—1722no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—42no—
1561Q8—432no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—42no—
1580D4—42no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—432no—
1585D4—861no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—1721no—
1590D4—1721no—
1591D4—1721no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—861no—
1665C22—861no—
1666C22—862no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—1721no—
1672C22—1721no—
1673C22—6882no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—861no—
1687C4—861no—
1688C4—862no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—81no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914808111yescharacteristic
1709C2#1914937111yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3171C2
socleC22×C43C23×D4
hypercenter#3171D43
hypocenterC43#61513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3171

Complements

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

NH ≅ G/Ntype
1. #19148578C2semidirect
2. #19148551C2semidirect
3. #19147656C2semidirect
4. #19147513C2semidirect
5. #19147358C2semidirect
6. #19147310C2semidirect
7. #19147216C2semidirect
8. #19147124C2semidirect
9. #19147090C2semidirect
10. #19146884C2semidirect
11. #19146791C2semidirect
12. #19146776C2semidirect
13. #19146671C2semidirect
14. #19146660C2semidirect
15. #19146615C2semidirect
16. #19146233C2semidirect
17. #19146112C2semidirect
18. #19146089C2semidirect
19. #19145259C2semidirect
20. #19145230C2semidirect
21. #19144853C2semidirect
22. #19144844C2semidirect
23. #19144820C2semidirect
24. #19144775C2semidirect
25. #19144713C2semidirect
26. #19144698C2semidirect
27. #19143580C2semidirect
28. #19143449C2semidirect
29. #19143420C2semidirect
30. C4×#13063358C2semidirect
31. C43×#3171C2semidirect
36. #14583626C22semidirect
38. #14583618C22semidirect
43. #14583607C22semidirect
44. #14583601C22semidirect
51. #14583562C22semidirect
54. #14583555C22semidirect
62. #14583514C22semidirect
63. #14583507C22semidirect
72. #14583378C22semidirect
73. #14583375C22semidirect
77. C2×C4×Dic86C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583290C22semidirect
81. #14583282C22semidirect
82. #14583257C22semidirect
83. #14583257C22semidirect
84. #14583252C22semidirect
85. #14583248C22semidirect
86. #14583243C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583238C22semidirect
90. #14583237C22semidirect
91. #14583236C22semidirect
92. #14583222C22semidirect
94. #14583220C22semidirect
96. #14583210C22semidirect
97. #14583210C22semidirect
98. #14583203C22semidirect
99. #14583201C22semidirect
102. #14583193C22semidirect
103. #14583192C22semidirect
104. #14583191C22semidirect
105. #14583191C22semidirect
106. #14583187C22semidirect
107. #14583183C22semidirect
109. #14583177C22semidirect
110. #14583158C22semidirect
112. #14583144C22semidirect
114. #14583141C22semidirect
115. #14583139C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583119C22semidirect
121. #14583118C22semidirect
123. #14583112C22semidirect
124. #14583112C22semidirect
127. #14583102C22semidirect
130. #14583062C22semidirect
132. #14583056C22semidirect
138. #14583037C22semidirect
139. #14583037C22semidirect
142. #14583027C22semidirect
143. #14583027C22semidirect
144. #14583011C22semidirect
146. #14583007C22semidirect
147. #14583007C22semidirect
148. #14583004C22semidirect
152. #14582999C22semidirect
153. #14582999C22semidirect
154. #14582999C22semidirect
155. #14582999C22semidirect
156. #14582999C22semidirect
159. #14582996C22semidirect
160. C4×Dic172C22semidirect
161. C4×Dic172C22semidirect
162. #14582990C22semidirect
165. SD16×Dic43C22semidirect
168. #14582975C22semidirect
169. #14582975C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582958C22semidirect
175. #14582958C22semidirect
176. #14582956C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
179. #14582934C22semidirect
180. #14582909C22semidirect
181. #14582906C22semidirect
184. #14582892C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
189. C43×#529C22semidirect
190. C43×#501C22semidirect
193. C43×#489C22semidirect
194. C43×#469C22semidirect
195. C43×#469C22semidirect
196. C43×#468C22semidirect
197. C43×#468C22semidirect
198. C4×SD16×C43C22semidirect
199. C4×SD16×C43C22semidirect
200. C4×D8×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C4×M16×C43C22semidirect
684. #10621873#41semidirect
866. #3171D43semidirect
927. #529C2×D43semidirect
936. #501C2×D43semidirect
944. #489C2×D43semidirect
972. #469C2×D43semidirect
973. #469C2×D43semidirect
977. #468C2×D43semidirect
978. #468C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1033. C4×SD16C2×D43semidirect
1035. C4×D8C2×D43semidirect
1036. C4×D8C2×D43semidirect
1057. C4×M16C2×D43semidirect
1058. C43#61513semidirect

Maximal subgroups

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

subgroupindex
#191485782
#191485512
#191476562
#191475132
#191473582
#191473102
#191472162
#191471242
#191470902
#191468842
#191467912
#191467762
#191466712
#191466602
#191466152
#191462332
#191461122
#191460892
#191452592
#191452302
#191448532
#191448442
#191448202
#191447752
#191447132
#191446982
#191435802
#191434492
#191434202
C4×#130633582
C43×#31712
#6151343