Finite Group Databasebeta

← #25975561

Subgroups — #25975561

Order 11008.

1824 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#19148343C211yesmaximal, characteristic, complemented
2#19148319C211yesmaximal, characteristic
3#19147147C211yesmaximal, characteristic, complemented
4#19147143C211yesmaximal, characteristic, complemented
5#19147117C211yesmaximal, characteristic, complemented
6#19147113C211yesmaximal, characteristic, complemented
7#19147078C211yesmaximal, characteristic, complemented
8#19147074C211yesmaximal, characteristic, complemented
9#19147033C211yesmaximal, characteristic, complemented
10#19147029C211yesmaximal, characteristic, complemented
11#19147007C211yesmaximal, characteristic, complemented
12#19147003C211yesmaximal, characteristic, complemented
13#19146980C211yesmaximal, characteristic, complemented
14#19146979C211yesmaximal, characteristic, complemented
15#19146976C211yesmaximal, characteristic, complemented
16#19146970C211yesmaximal, characteristic, complemented
17#19146948C211yesmaximal, characteristic, complemented
18#19145120C211yesmaximal, characteristic, complemented
19#19144557C211yesmaximal, characteristic, complemented
20#19144552C211yesmaximal, characteristic, complemented
21#19144538C211yesmaximal, characteristic, complemented
22#19144532C211yesmaximal, characteristic, complemented
23#19144430C211yesmaximal, characteristic, complemented
24#19144421C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26#465×D43C211yesmaximal, characteristic, complemented
27#19143449C211yesmaximal, characteristic, complemented
28#19143284C211yesmaximal, characteristic, complemented
29#19143186C211yesmaximal, characteristic, complemented
30C2×#14582934C211yesmaximal, characteristic, complemented
31C43×#3335C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic, complemented
37#14583615C2211yescharacteristic
38#14583613C2211yescharacteristic
39#14583604C2211yescharacteristic, complemented
40#14583601C2211yescharacteristic
41#14583599C2211yescharacteristic
42#14583597C2211yescharacteristic
43#14583595C2211yescharacteristic
44#14583591C2211yescharacteristic, complemented
45#14583590C2211yescharacteristic, complemented
46#14583589C2211yescharacteristic, complemented
47#14583584C2211yescharacteristic, complemented
48#14583583—21no—
49#14583581—21no—
50#14583578—21no—
51#14583577—21no—
52#14583576—21no—
53#14583576—21no—
54#14583550C2211yescharacteristic
55#14583541—21no—
56#14583537—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583519—21no—
60#14583519—21no—
61#14583508—21no—
62#14583501—21no—
63#14583472C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583451—21no—
66#14583445—21no—
67#14583429—21no—
68#14583426—21no—
69#14583408C2211yescharacteristic
70C22⋊Q8×D43C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77C2×#13063283C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583237C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583233C2211yescharacteristic, complemented
96#14583232C2211yescharacteristic, complemented
97#14583231C2211yescharacteristic, complemented
98#14583229C2211yescharacteristic, complemented
99#14583225C2211yescharacteristic
100#14583225C2211yescharacteristic
101#14583225C2211yescharacteristic, complemented
102#14583224C2211yescharacteristic, complemented
103#14583222C2211yescharacteristic, complemented
104#14583221C2211yescharacteristic
105#14583221C2211yescharacteristic
106#14583220C2211yescharacteristic, complemented
107#14583219C2211yescharacteristic, complemented
108#14583217C2211yescharacteristic
109#14583213C2211yescharacteristic
110#14583212C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic
113#14583209C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583206C2211yescharacteristic, complemented
116#14583204C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic, complemented
120#14583198C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583191C2211yescharacteristic, complemented
123#14583188C2211yescharacteristic, complemented
124#14583183C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583148C2211yescharacteristic, complemented
128#14583147C2211yescharacteristic, complemented
129#14583144C2211yescharacteristic, complemented
130#14583143C2211yescharacteristic, complemented
131#14583131C2211yescharacteristic
132#14583130C2211yescharacteristic
133#14583129C2211yescharacteristic
134#14583129C2211yescharacteristic, complemented
135#14583128C2211yescharacteristic
136#14583128C2211yescharacteristic, complemented
137#14583127C2211yescharacteristic
138#14583126C2211yescharacteristic
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582996C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582973C2211yescharacteristic, complemented
149#14582971C2211yescharacteristic, complemented
150#14582969C2211yescharacteristic, complemented
151#14582967C2211yescharacteristic, complemented
152C8×D172C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154C8×C22⋊D43C2211yescharacteristic, complemented
155#14582939C2211yescharacteristic, complemented
156#14582939C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic
158#14582938C2211yescharacteristic
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582938C2211yescharacteristic, complemented
163#14582937C2211yescharacteristic, complemented
164#14582934C2211yescharacteristic
165#14582934C2211yescharacteristic
166#14582934C2211yescharacteristic
167#14582934C2211yescharacteristic
168#14582934C2211yescharacteristic, complemented
169#14582934C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic, complemented
171#14582934C2211yescharacteristic, complemented
172#14582934C2211yescharacteristic, complemented
173C2×#13063258C2211yescharacteristic, complemented
174C2×#13063258C2211yescharacteristic, complemented
175C2×#13063257C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#554C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#498C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic
194C43×#481C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#475C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C2×#106×C43C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212SD16×D43—24no—
213#13063331—24no—
214C2×#10621877C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43—24no—
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063324—21no—
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323—21no—
230#13063321—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063314—21no—
255#13063314—21no—
256#13063314—21no—
257#13063312—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310D411yescharacteristic
267#13063309—21no—
268#13063309—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307D411yescharacteristic
275#13063306—21no—
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063304—21no—
279#13063304C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303D411yescharacteristic
287#13063302—21no—
288#13063302D411yescharacteristic
289#13063301—21no—
290#13063301—21no—
291#13063301C2311yescharacteristic
292#13063301C2311yescharacteristic
293#13063300—21no—
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063299—21no—
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063298—21no—
300#13063298—21no—
301#13063298D411yescharacteristic
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297D411yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063295—21no—
310#13063295D411yescharacteristic
311#13063293—21no—
312#13063293D411yescharacteristic
313Q8×Dic43—21no—
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86C2311yescharacteristic
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320#13063290—21no—
321#13063290C2311yescharacteristic
322C4×D172C2311yescharacteristic
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43C2311yescharacteristic
326#13063287—21no—
327#13063287—21no—
328#13063287C2311yescharacteristic
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341#13063284—21no—
342#13063284C2311yescharacteristic
343#13063284C2311yescharacteristic
344#13063283—21no—
345#13063283—21no—
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282C2311yescharacteristic
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C2×(C2×D43)⋊C4—21no—
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C2×C4×Dic43—21no—
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#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
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
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#125×C43—21no—
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×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#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483#41×C43—82no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43C2×D411yescharacteristic
511Q8×D43—22no—
512Q8×D43—22no—
513D4×D43—22no—
514D4×D43—22no—
515D4×D43—82no—
516#10621898—22no—
517#10621898—22no—
518#10621898—82no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172C2×D411yescharacteristic
522C2×D172C2×D411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543SD16×C43—22no—
544C2×C8×C43—22no—
545C2×C8×C43—22no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584#10621884—22no—
585#10621883—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)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
662C4×Dic43—21no—
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—
674C8×D43—22no—
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—22no—
684C22×D43—21no—
685C22×D43—41no—
686C22×D43—42no—
687C22×D43—81no—
688C22×D43—81no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—81no—
695Q8×C43—81no—
696D4×C43—22no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—42no—
700D4×C43—81no—
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—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—42no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—41no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C2×Dic43—22no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—42no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—22no—
748D172—21no—
749D172—21no—
750D172—41no—
751D172—81no—
752D172—81no—
753C4×D43—22no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—22no—
759C4×D43—42no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43C2×#4112yes—
767C4×D432−1+412yes—
768Dic86—22no—
769Dic86—21no—
770Dic86—21no—
771Dic86—42no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61263—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43#57712yes—
792C22×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—44no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—162no—
806C2×D43#54712yes—
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×C43C22×#4111yescharacteristic
819C4×C43C2×2−1+411yescharacteristic
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43#54712yes—
832#3495—431no—
833#3494—431no—
834#3350—431no—
835#3350—431no—
836#3348—431no—
837#3348—431no—
838#3346—431no—
839#3346—431no—
840#3343—431no—
841#3343—431no—
842#3340—431no—
843#3340—431no—
844#3337—431no—
845#3337—431no—
846#3337—431no—
847#3337—431no—
848#3335—431no—
849#3335D4311yescharacteristic, complemented
850#3163—431no—
851#3097—431no—
852#3096—431no—
853#3095—431no—
854#3094—431no—
855#3082—431no—
856#3081—431no—
857#3057—431no—
858C2×#465—431no—
859#2949—431no—
860#2929—431no—
861#2912—431no—
862C2×#427—431no—
863C2×C43—22no—
864C2×C43—41no—
865C2×C43—81no—
866C2×C43C2×#54711yescharacteristic
867C2×C43C2×#57711yescharacteristic
868C2×C43#358411yescharacteristic
869D43—22no—
870D43—41no—
871D43—41no—
872D43—81no—
873C22×SD16—431no—
874C2×#131—431no—
875C23×C8—431no—
876#556—431no—
877#556—431no—
878#555—431no—
879#555—431no—
880#554—431no—
881#554C2×D4311yescharacteristic, complemented
882#553—431no—
883#553—431no—
884#553—431no—
885#553—431no—
886#552—431no—
887#552—431no—
888#552—431no—
889#552—431no—
890#552—861no—
891#552—861no—
892#551—861no—
893#551—861no—
894#551—861no—
895#551—861no—
896#547—431no—
897#547C2×D4311yescharacteristic
898#546—861no—
899#546—861no—
900#544—431no—
901#544—431no—
902#542—861no—
903#542—861no—
904#541—861no—
905#540—861no—
906#536—431no—
907#535—431no—
908#533—861no—
909#532—861no—
910#529—861no—
911#529—861no—
912#525—431no—
913C2×C22⋊Q8—431no—
914C2×#121—431no—
915#520—431no—
916#520—431no—
917#519—431no—
918#518—431no—
919C2×#117—431no—
920C2×#117—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#501—431no—
925#499—431no—
926#499—431no—
927#498—431no—
928#498C2×D4311yescharacteristic, complemented
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485—431no—
936#485—431no—
937#484—431no—
938#484—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#483—431no—
943#483C2×D4311yescharacteristic, complemented
944#483C2×D4311yescharacteristic, complemented
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#481—431no—
954#481—431no—
955#481C2×D4311yescharacteristic
956#481C2×D4311yescharacteristic, complemented
957#480—431no—
958#480—431no—
959#480—431no—
960#480—431no—
961#479—431no—
962#479—431no—
963#479—431no—
964#479—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#477—431no—
970#477—431no—
971#476—431no—
972#476C2×D4311yescharacteristic, complemented
973#475—431no—
974#475C2×D4311yescharacteristic, complemented
975#474—431no—
976#474—431no—
977#468—431no—
978#468—431no—
979#468—431no—
980#468—431no—
981#465—431no—
982#465—431no—
983#465—431no—
984#465—431no—
985#465—431no—
986#465—431no—
987#465—431no—
988#465—431no—
989#465—431no—
990#465—431no—
991#465C2×D4311yescharacteristic
992#465C2×D4311yescharacteristic, complemented
993#440—431no—
994#440—431no—
995#440—431no—
996#440—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16—431no—
1000C4×SD16C2×D4311yescharacteristic, complemented
1001#435—431no—
1002#435—431no—
1003#435—431no—
1004#435—431no—
1005C8×D4—431no—
1006C8×D4—431no—
1007C8×D4—431no—
1008C8×D4C2×D4311yescharacteristic, complemented
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#427—431no—
1018#427—431no—
1019#427—431no—
1020#427—431no—
1021#427—431no—
1022#427—431no—
1023#427—431no—
1024#427—431no—
1025#427—431no—
1026#427—431no—
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106C2×D4311yescharacteristic, complemented
1033C2×#106C2×D4311yescharacteristic, complemented
1034#424—431no—
1035#419—431no—
1036#419—431no—
1037#418—431no—
1038#418—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041#408—431no—
1042#407—431no—
1043#405—431no—
1044C43#6126311yescharacteristic, complemented, Sylow
1045C2×#41—21no—
1046C2×#41—431no—
1047C2×#41—861no—
1048C22×Q8—431no—
1049C22×D4—431no—
1050C22×D4—861no—
1051C23×C4—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—864no—
1056C2×SD16C22×D4311yescharacteristic
1057#131—864no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8—431no—
1065C22×C8—431no—
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—864no—
1069C22×C8C22×D4311yescharacteristic
1070C22×C8C22×D4311yescharacteristic
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077C4⋊Q8C22×D4311yescharacteristic
1078#127—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#125—21no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#123—21no—
1112#123—21no—
1113#123—431no—
1114#123—431no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1148C22⋊Q8C22×D4311yescharacteristic
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—431no—
1168#120—431no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—21no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—861no—
1235C2×C4⋊C4C22×D4311yescharacteristic
1236C2×C4⋊C4C22×D4311yescharacteristic
1237C2×C4⋊C4C22×D4311yescharacteristic
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C22⋊C4—861no—
1240C2×C22⋊C4—861no—
1241C2×C22⋊C4—861no—
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246C2×C42—861no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—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#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275#106C22×D4311yescharacteristic
1276#106C22×D4311yescharacteristic
1277#106C22×D4311yescharacteristic
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
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#102—431no—
1306#102—431no—
1307#102—431no—
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321C4×C8—431no—
1322C4×C8C22×D4311yescharacteristic
1323C24—431no—
1324C24—861no—
1325#41—82no—
1326#41—862no—
1327#41—862no—
1328#41—3442no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—862no—
1337C2×Q8—862no—
1338C2×Q8C23×D4311yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—3442no—
1358C2×D4D4×D4311yescharacteristic
1359C2×D4C23×D4311yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—862no—
1372C22×C4—862no—
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—861no—
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385SD16—22no—
1386SD16—862no—
1387SD16—862no—
1388SD16—862no—
1389M16—862no—
1390M16—862no—
1391M16—862no—
1392M16—862no—
1393C2×C8—22no—
1394C2×C8—22no—
1395C2×C8—431no—
1396C2×C8—434no—
1397C2×C8—431no—
1398C2×C8—431no—
1399C2×C8—431no—
1400C2×C8—862no—
1401C2×C8—862no—
1402C2×C8—862no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
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⋊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⋊C4D4×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
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⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1502C22⋊C4D4×D4311yescharacteristic
1503C42—21no—
1504C42—431no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—431no—
1523C23—431no—
1524C23—431no—
1525C23—862no—
1526C23—862no—
1527C23—861no—
1528C23—3441no—
1529C23—3441no—
1530C23—1721no—
1531C23—1722no—
1532C23C2×D4×D4311yescharacteristic
1533C23C2×D4×D4311yescharacteristic
1534Q8—21no—
1535Q8—21no—
1536Q8—81no—
1537Q8—81no—
1538Q8—862no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—1722no—
1544D4—22no—
1545D4—21no—
1546D4—21no—
1547D4—42no—
1548D4—81no—
1549D4—862no—
1550D4—862no—
1551D4—862no—
1552D4—862no—
1553D4—861no—
1554D4—861no—
1555D4—3441no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—1721no—
1561D4—1722no—
1562D4—1721no—
1563D4—1722no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—42no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—431no—
1581C2×C4—432no—
1582C2×C4—432no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—862no—
1588C2×C4—862no—
1589C2×C4—862no—
1590C2×C4—861no—
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—3441no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—432no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8#41×D4312yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—432no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—1724no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22—6882no—
1646C22#1458370512yes—
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—861no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4C2×#41×D4311yescharacteristic
1672C42−1+4×D4311yescharacteristic
1673C2—22no—
1674C2—41no—
1675C2—81no—
1676C2—862no—
1677C2—3441no—
1678C2—1721no—
1679C2—1721no—
1680C2#547×D4311yescharacteristic
1681C2C2×#1458370511yescharacteristic
1682C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3335C2
socleC22×C43C23×D4
prime radical#19148319C2
hypercenter#3335D43
hypocenterC43#61263
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3335

Complements

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

NH ≅ G/Ntype
1. #19148343C2semidirect
3. #19147147C2semidirect
4. #19147143C2semidirect
5. #19147117C2semidirect
6. #19147113C2semidirect
7. #19147078C2semidirect
8. #19147074C2semidirect
9. #19147033C2semidirect
10. #19147029C2semidirect
11. #19147007C2semidirect
12. #19147003C2semidirect
13. #19146980C2semidirect
14. #19146979C2semidirect
15. #19146976C2semidirect
16. #19146970C2semidirect
17. #19146948C2semidirect
18. #19145120C2semidirect
19. #19144557C2semidirect
20. #19144552C2semidirect
21. #19144538C2semidirect
22. #19144532C2semidirect
23. #19144430C2semidirect
24. #19144421C2semidirect
25. #19144229C2semidirect
26. #465×D43C2semidirect
27. #19143449C2semidirect
28. #19143284C2semidirect
29. #19143186C2semidirect
30. C2×#14582934C2semidirect
31. C43×#3335C2semidirect
35. #14583623C22semidirect
36. #14583620C22semidirect
39. #14583604C22semidirect
44. #14583591C22semidirect
45. #14583590C22semidirect
46. #14583589C22semidirect
47. #14583584C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583299C22semidirect
84. #14583296C22semidirect
85. #14583243C22semidirect
86. #14583243C22semidirect
87. #14583243C22semidirect
88. #14583241C22semidirect
89. #14583239C22semidirect
90. #14583239C22semidirect
91. #14583238C22semidirect
92. #14583237C22semidirect
93. #14583235C22semidirect
94. #14583234C22semidirect
95. #14583233C22semidirect
96. #14583232C22semidirect
97. #14583231C22semidirect
98. #14583229C22semidirect
101. #14583225C22semidirect
102. #14583224C22semidirect
103. #14583222C22semidirect
106. #14583220C22semidirect
107. #14583219C22semidirect
110. #14583212C22semidirect
111. #14583211C22semidirect
113. #14583209C22semidirect
114. #14583207C22semidirect
115. #14583206C22semidirect
116. #14583204C22semidirect
117. #14583201C22semidirect
118. #14583200C22semidirect
119. #14583199C22semidirect
120. #14583198C22semidirect
121. #14583192C22semidirect
122. #14583191C22semidirect
123. #14583188C22semidirect
124. #14583183C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
127. #14583148C22semidirect
128. #14583147C22semidirect
129. #14583144C22semidirect
130. #14583143C22semidirect
134. #14583129C22semidirect
136. #14583128C22semidirect
140. #14583125C22semidirect
141. #14583002C22semidirect
142. #14582999C22semidirect
143. #14582997C22semidirect
144. #14582996C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
148. #14582973C22semidirect
149. #14582971C22semidirect
150. #14582969C22semidirect
151. #14582967C22semidirect
152. C8×D172C22semidirect
153. C8×C22⋊D43C22semidirect
154. C8×C22⋊D43C22semidirect
155. #14582939C22semidirect
156. #14582939C22semidirect
161. #14582938C22semidirect
162. #14582938C22semidirect
163. #14582937C22semidirect
168. #14582934C22semidirect
169. #14582934C22semidirect
170. #14582934C22semidirect
171. #14582934C22semidirect
172. #14582934C22semidirect
173. C2×#13063258C22semidirect
174. C2×#13063258C22semidirect
175. C2×#13063257C22semidirect
177. #106×D43C22semidirect
188. C43×#554C22semidirect
190. C43×#498C22semidirect
191. C43×#483C22semidirect
192. C43×#483C22semidirect
194. C43×#481C22semidirect
195. C43×#476C22semidirect
196. C43×#475C22semidirect
198. C43×#465C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C2×#106×C43C22semidirect
202. C2×#106×C43C22semidirect
678. C8×D43#41semidirect
849. #3335D43semidirect
881. #554C2×D43semidirect
928. #498C2×D43semidirect
943. #483C2×D43semidirect
944. #483C2×D43semidirect
956. #481C2×D43semidirect
972. #476C2×D43semidirect
974. #475C2×D43semidirect
992. #465C2×D43semidirect
1000. C4×SD16C2×D43semidirect
1008. C8×D4C2×D43semidirect
1032. C2×#106C2×D43semidirect
1033. C2×#106C2×D43semidirect
1044. C43#61263semidirect

Maximal subgroups

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

subgroupindex
#191483432
#191483192
#191471472
#191471432
#191471172
#191471132
#191470782
#191470742
#191470332
#191470292
#191470072
#191470032
#191469802
#191469792
#191469762
#191469702
#191469482
#191451202
#191445572
#191445522
#191445382
#191445322
#191444302
#191444212
#191442292
#465×D432
#191434492
#191432842
#191431862
C2×#145829342
C43×#33352
#6126343