Finite Group Databasebeta

← #25979719

Subgroups — #25979719

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148700C211yesmaximal, characteristic, complemented
2#19148629C211yesmaximal, characteristic, complemented
3#19147639C211yesmaximal, characteristic, complemented
4#19147542C211yesmaximal, characteristic, complemented
5#19147350C211yesmaximal, characteristic, complemented
6#19147326C211yesmaximal, characteristic, complemented
7#19147157C211yesmaximal, characteristic, complemented
8#19147097C211yesmaximal, characteristic, complemented
9#19147097C211yesmaximal, characteristic, complemented
10#19146850C211yesmaximal, characteristic, complemented
11#19146838C211yesmaximal, characteristic, complemented
12#19146783C211yesmaximal, characteristic, complemented
13#19146738C211yesmaximal, characteristic, complemented
14#19146618C211yesmaximal, characteristic, complemented
15#19146603C211yesmaximal, characteristic, complemented
16#19146217C211yesmaximal, characteristic, complemented
17#19146095C211yesmaximal, characteristic, complemented
18#19146095C211yesmaximal, characteristic, complemented
19#19145278C211yesmaximal, characteristic, complemented
20#19145245C211yesmaximal, characteristic, complemented
21#19145190C211yesmaximal, characteristic, complemented
22#19144887C211yesmaximal, characteristic, complemented
23#19144839C211yesmaximal, characteristic, complemented
24#19144796C211yesmaximal, characteristic, complemented
25#19144781C211yesmaximal, characteristic, complemented
26#19144747C211yesmaximal, characteristic, complemented
27#19144735C211yesmaximal, characteristic, complemented
28#19143456C211yesmaximal, characteristic, complemented
29#19143429C211yesmaximal, characteristic, complemented
30C4×#13063353C211yesmaximal, characteristic, complemented
31C43×#2967C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583633—21no—
37#14583627C2211yescharacteristic, complemented
38#14583614C2211yescharacteristic
39#14583614C2211yescharacteristic, complemented
40#14583611—21no—
41#14583609C2211yescharacteristic
42#14583602—21no—
43#14583595C2211yescharacteristic
44#14583595C2211yescharacteristic
45#14583595C2211yescharacteristic, complemented
46#14583594—21no—
47#14583589C2211yescharacteristic, complemented
48#14583581—21no—
49#14583571C2211yescharacteristic
50#14583570C2211yescharacteristic, complemented
51#14583558C2211yescharacteristic, complemented
52#14583558C2211yescharacteristic, complemented
53#14583542—21no—
54#14583541—21no—
55#14583541—21no—
56D4×D172C2211yescharacteristic
57D4×D172C2211yescharacteristic
58D4×D172C2211yescharacteristic
59#14583520C2211yescharacteristic, complemented
60#14583519—21no—
61#14583504C2211yescharacteristic
62#14583504C2211yescharacteristic
63#14583504C2211yescharacteristic, complemented
64#14583499—21no—
65#14583488—21no—
66#14583488—21no—
67#14583449C2211yescharacteristic
68#14583433C2211yescharacteristic, complemented
69#14583432—21no—
70#14583432—21no—
71#14583412—21no—
72#121×D43—21no—
73#14583379C2211yescharacteristic, complemented
74#14583376C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76#14583373C2211yescharacteristic
77C4×#10621898C2211yescharacteristic, complemented
78C2×C4×D172C2211yescharacteristic
79#14583308C2211yescharacteristic, complemented
80#14583308C2211yescharacteristic, complemented
81#14583301C2211yescharacteristic, complemented
82#14583288C2211yescharacteristic, complemented
83#14583288C2211yescharacteristic, complemented
84#14583276C2211yescharacteristic, complemented
85#14583264C2211yescharacteristic, complemented
86#14583264C2211yescharacteristic, complemented
87#14583264C2211yescharacteristic, complemented
88#14583259C2211yescharacteristic, complemented
89#14583254C2211yescharacteristic, complemented
90#14583246C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583224C2211yescharacteristic, complemented
98#14583224C2211yescharacteristic, complemented
99#14583224C2211yescharacteristic, complemented
100#14583218C2211yescharacteristic, complemented
101#14583213C2211yescharacteristic, complemented
102#14583213C2211yescharacteristic, complemented
103#14583207C2211yescharacteristic, complemented
104#14583207C2211yescharacteristic, complemented
105#14583207C2211yescharacteristic, complemented
106#14583200C2211yescharacteristic
107#14583200C2211yescharacteristic
108#14583200C2211yescharacteristic, complemented
109#14583200C2211yescharacteristic, complemented
110#14583200C2211yescharacteristic, complemented
111#14583190C2211yescharacteristic
112#14583185C2211yescharacteristic, complemented
113#14583180C2211yescharacteristic, complemented
114#14583180C2211yescharacteristic, complemented
115#14583152C2211yescharacteristic, complemented
116#14583152C2211yescharacteristic, complemented
117#14583152C2211yescharacteristic, complemented
118#14583152C2211yescharacteristic, complemented
119#14583152C2211yescharacteristic, complemented
120#14583145C2211yescharacteristic, complemented
121#14583145C2211yescharacteristic, complemented
122#14583145C2211yescharacteristic, complemented
123#14583135C2211yescharacteristic, complemented
124#14583135C2211yescharacteristic, complemented
125#14583135C2211yescharacteristic, complemented
126#14583128C2211yescharacteristic, complemented
127#14583115C2211yescharacteristic
128#14583115C2211yescharacteristic
129#14583115C2211yescharacteristic, complemented
130#14583115C2211yescharacteristic, complemented
131#14583100C2211yescharacteristic, complemented
132#14583100C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic, complemented
134#14583100C2211yescharacteristic, complemented
135#14583095C2211yescharacteristic
136#14583095C2211yescharacteristic, complemented
137#14583095C2211yescharacteristic, complemented
138#14583095C2211yescharacteristic, complemented
139#14583052C2211yescharacteristic
140#14583052C2211yescharacteristic
141#14583046C2211yescharacteristic, complemented
142#14583046C2211yescharacteristic, complemented
143#14583046C2211yescharacteristic, complemented
144#14583046C2211yescharacteristic, complemented
145#14583040C2211yescharacteristic, complemented
146#14583040C2211yescharacteristic, complemented
147#14583035C2211yescharacteristic
148#14583035C2211yescharacteristic
149#14583035C2211yescharacteristic
150#14583035C2211yescharacteristic
151#14583012C2211yescharacteristic
152#14583012C2211yescharacteristic
153#14583012C2211yescharacteristic, complemented
154#14583012C2211yescharacteristic, complemented
155#14583012C2211yescharacteristic, complemented
156#14583012C2211yescharacteristic, complemented
157#14583012C2211yescharacteristic, complemented
158#14583001C2211yescharacteristic
159#14583001C2211yescharacteristic
160#14583001C2211yescharacteristic
161#14583001C2211yescharacteristic
162#14583001C2211yescharacteristic, complemented
163#14583001C2211yescharacteristic, complemented
164#14583001C2211yescharacteristic, complemented
165#14583001C2211yescharacteristic, complemented
166#14583001C2211yescharacteristic, complemented
167C4×#10621873C2211yescharacteristic
168C4×#10621873C2211yescharacteristic
169C4×#10621873C2211yescharacteristic, complemented
170C4×#10621873C2211yescharacteristic, complemented
171C4×#10621873C2211yescharacteristic, complemented
172C4×#10621873C2211yescharacteristic, complemented
173C4×#10621873C2211yescharacteristic, complemented
174C4×D344C2211yescharacteristic
175C4×D344C2211yescharacteristic
176C4×D344C2211yescharacteristic, complemented
177C4×D344C2211yescharacteristic, complemented
178C4×D344C2211yescharacteristic, complemented
179#14582941C2211yescharacteristic, complemented
180#14582941C2211yescharacteristic, complemented
181#14582937C2211yescharacteristic, complemented
182#14582909C2211yescharacteristic, complemented
183#14582905C2211yescharacteristic
184#14582905C2211yescharacteristic
185#14582901C2211yescharacteristic, complemented
186#14582896C2211yescharacteristic, complemented
187C2×#13063247C2211yescharacteristic
188C43×#529C2211yescharacteristic
189C43×#446C2211yescharacteristic, complemented
190C43×#446C2211yescharacteristic, complemented
191C43×#436C2211yescharacteristic, complemented
192C43×#436C2211yescharacteristic, complemented
193C43×#435C2211yescharacteristic, complemented
194C43×#435C2211yescharacteristic, complemented
195C43×#435C2211yescharacteristic, complemented
196C43×#435C2211yescharacteristic, complemented
197C43×#433C2211yescharacteristic, complemented
198C43×#433C2211yescharacteristic, complemented
199C43×#432C2211yescharacteristic, complemented
200C43×#405C2211yescharacteristic, complemented
201C43×#405C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43—21no—
214C22×C4×D43—21no—
215#13063353—24no—
216#13063353—24no—
217C2×#10621873—24no—
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×D344C2311yescharacteristic
231C2×D344C2311yescharacteristic
232C2×D344C2311yescharacteristic
233C2×D344C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063323—21no—
237#13063322C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063321—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063319—21no—
247#13063318—21no—
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063317C2311yescharacteristic
251#13063317C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063314—21no—
256#13063313—21no—
257#13063313C2311yescharacteristic
258#13063313C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063306—21no—
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063301—21no—
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300—21no—
293#13063300—21no—
294#13063299—21no—
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296—21no—
319#13063296—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063295—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350C4×D172C2311yescharacteristic
351C4×D172C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287—21no—
356#13063287—21no—
357#13063287—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063284C2311yescharacteristic
369#13063284C2311yescharacteristic
370#13063284C2311yescharacteristic
371#13063284C2311yescharacteristic
372#13063283—21no—
373#13063283—21no—
374#13063283—21no—
375#13063282—21no—
376#13063282—21no—
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380C2×C4⋊Dic43C2311yescharacteristic
381C2×C4⋊Dic43C2311yescharacteristic
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C2×(C2×D43)⋊C4—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43—21no—
388C22⋊C4×D43—21no—
389C42×D43—21no—
390#13063259C2311yescharacteristic
391#13063259C2311yescharacteristic
392#13063259C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063259C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063257C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063247C2311yescharacteristic
431#13063247C2311yescharacteristic
432#13063247C2311yescharacteristic
433#13063247C2311yescharacteristic
434#13063247C2311yescharacteristic
435#13063247C2311yescharacteristic
436#13063247C2311yescharacteristic
437#13063247C2311yescharacteristic
438C2×M16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442C22×C8×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444#126×C43D411yescharacteristic
445#126×C43D411yescharacteristic
446#125×C43D411yescharacteristic
447#124×C43D411yescharacteristic
448#123×C43D411yescharacteristic
449#123×C43D411yescharacteristic
450C22⋊Q8×C43D411yescharacteristic
451#121×C43D411yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43C2311yescharacteristic
457#117×C43C2311yescharacteristic
458C2×C42×C43C2311yescharacteristic
459C4⋊C8×C43C2311yescharacteristic
460C4⋊C8×C43C2311yescharacteristic
461C4⋊C8×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C22⋊C8×C43C2311yescharacteristic
466C22⋊C8×C43C2311yescharacteristic
467C22⋊C8×C43C2311yescharacteristic
468C22⋊C8×C43C2311yescharacteristic
469C22⋊C8×C43C2311yescharacteristic
470C22⋊C8×C43C2311yescharacteristic
471#97×C43C2311yescharacteristic
472#97×C43C2311yescharacteristic
473#97×C43C2311yescharacteristic
474#97×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43C2×D411yescharacteristic
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2×D411yescharacteristic
488C22×C4×C43C2×D411yescharacteristic
489C22×C4×C43C2×D411yescharacteristic
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621902—82no—
509D4×D43—82no—
510D4×D43—82no—
511D4×D43—82no—
512#10621898—22no—
513#10621898—22no—
514#10621898—41no—
515#10621898—41no—
516#10621898—82no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—22no—
529C2×D172—22no—
530C2×D172—22no—
531C2×D172—41no—
532C2×D172—41no—
533C2×D172—41no—
534C2×D172C2411yescharacteristic
535C2×D172C2411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×Dic86—22no—
558C2×Dic86—21no—
559C2×Dic86—21no—
560C2×Dic86—21no—
561C2×Dic86—41no—
562C2×Dic86C2411yescharacteristic
563C2×Dic86C2411yescharacteristic
564M16×C43—22no—
565M16×C43—22no—
566M16×C43—41no—
567M16×C43—41no—
568C2×C8×C43—22no—
569C2×C8×C43—41no—
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C22⋊C4×C43C2×D411yescharacteristic
590C22⋊C4×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C42×C43C2×D411yescharacteristic
599C42×C43C2×D411yescharacteristic
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C42×C43C2411yescharacteristic
603C42×C43C2411yescharacteristic
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—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)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—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×Dic43—21no—
676D344—22no—
677D344—22no—
678D344—22no—
679D344—22no—
680D344—41no—
681D344—41no—
682D344—41no—
683D344—41no—
684#10621873—22no—
685#10621873—22no—
686#10621873—22no—
687#10621873—22no—
688#10621873—22no—
689#10621873—41no—
690#10621873—41no—
691#10621873#4114yescomplemented
692C23×C43C22×D411yescharacteristic
693C23×C43C22×D411yescharacteristic
694C23×C43C22×D411yescharacteristic
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710Q8×C43—41no—
711D4×C43—41no—
712D4×C43—41no—
713D4×C43—41no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—41no—
721C2×C4×C43—41no—
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
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—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—42no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759D172—21no—
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—21no—
770D172—42no—
771D172—42no—
772D172—42no—
773D172—42no—
774D172—81no—
775D172—81no—
776D172—81no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172C2×#4112yes—
782C4×D43—42no—
783C4×D43—42no—
784C4×D43—42no—
785C4×D43—42no—
786C4×D43—81no—
787C4×D43—81no—
788C4×D43—81no—
789C4×D43—81no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798Dic86—21no—
799Dic86—21no—
800Dic86—21no—
801Dic86—42no—
802Dic86—81no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C8×C43—21no—
810C8×C43—21no—
811C8×C43—21no—
812C8×C43C2×#4112yes—
813#61504—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—21no—
822C22×C43—21no—
823C22×C43C23×D411yescharacteristic
824C2×D43—22no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—22no—
859Dic43—41no—
860Dic43—41no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967D4311yescharacteristic, complemented
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—41no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—42no—
906D43—81no—
907D43—81no—
908D43—81no—
909D43—81no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—431no—
915#559—861no—
916#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550—431no—
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—861no—
949#529—861no—
950#529C2×D4311yescharacteristic
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518—431no—
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496—431no—
963#496—431no—
964#493—431no—
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446C2×D4311yescharacteristic, complemented
1032#446C2×D4311yescharacteristic, complemented
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436C2×D4311yescharacteristic, complemented
1062#436C2×D4311yescharacteristic, complemented
1063#435C2×D4311yescharacteristic, complemented
1064#435C2×D4311yescharacteristic, complemented
1065#435C2×D4311yescharacteristic, complemented
1066#435C2×D4311yescharacteristic, complemented
1067#433C2×D4311yescharacteristic, complemented
1068#433C2×D4311yescharacteristic, complemented
1069#432C2×D4311yescharacteristic, complemented
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405C2×D4311yescharacteristic, complemented
1080#405C2×D4311yescharacteristic, complemented
1081C4×M16C2×D4311yescharacteristic, complemented
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C22×Q8—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—864no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×M16C22×D4311yescharacteristic
1115C2×M16C22×D4311yescharacteristic
1116C2×M16C22×D4311yescharacteristic
1117C2×M16C22×D4311yescharacteristic
1118C22×C8C22×D4311yescharacteristic
1119C22×C8C22×D4311yescharacteristic
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—861no—
1128#126—861no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126D17211yescharacteristic
1135#126D17211yescharacteristic
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#125—861no—
1142#125—861no—
1143#125D17211yescharacteristic
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124D17211yescharacteristic
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123D17211yescharacteristic
1171#123D17211yescharacteristic
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8D17211yescharacteristic
1181#121—431no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121D17211yescharacteristic
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117C22×D4311yescharacteristic
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—861no—
1290C2×C42C22×D4311yescharacteristic
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106—431no—
1307C4⋊C8C22×D4311yescharacteristic
1308C4⋊C8C22×D4311yescharacteristic
1309C4⋊C8C22×D4311yescharacteristic
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345C22⋊C8C22×D4311yescharacteristic
1346C22⋊C8C22×D4311yescharacteristic
1347C22⋊C8C22×D4311yescharacteristic
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350C22⋊C8C22×D4311yescharacteristic
1351#97C22×D4311yescharacteristic
1352#97C22×D4311yescharacteristic
1353#97C22×D4311yescharacteristic
1354#97C22×D4311yescharacteristic
1355#97C22×D4311yescharacteristic
1356#97C22×D4311yescharacteristic
1357C4×C8C22×D4311yescharacteristic
1358C4×C8C22×D4311yescharacteristic
1359C4×C8C22×D4311yescharacteristic
1360C4×C8C22×D4311yescharacteristic
1361C24—861no—
1362C24—861no—
1363C24—861no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—1721no—
1369#41—1721no—
1370C2×Q8—431no—
1371C2×Q8—431no—
1372C2×Q8—862no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—861no—
1376C2×Q8—1721no—
1377C2×Q8C2×D17211yescharacteristic
1378C2×D4—431no—
1379C2×D4—431no—
1380C2×D4—431no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—862no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—3442no—
1411C2×D4—3442no—
1412C2×D4—3442no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4C2×D17211yescharacteristic
1417C2×D4C2×D17211yescharacteristic
1418C2×D4C2×D17211yescharacteristic
1419C22×C4—861no—
1420C22×C4—861no—
1421C22×C4—861no—
1422C22×C4—861no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—3442no—
1439C22×C4C2×D17211yescharacteristic
1440C22×C4C2×D17211yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444SD16—434no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—22no—
1461M16—22no—
1462M16—41no—
1463M16—41no—
1464C2×C8—22no—
1465C2×C8—41no—
1466C2×C8C23×D4311yescharacteristic
1467C2×C8C23×D4311yescharacteristic
1468C2×C8C23×D4311yescharacteristic
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—431no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4C2×D17211yescharacteristic
1503C4⋊C4C2×D17211yescharacteristic
1504C4⋊C4C2×D17211yescharacteristic
1505C4⋊C4C2×D17211yescharacteristic
1506C4⋊C4C2×D17211yescharacteristic
1507C4⋊C4C2×D17211yescharacteristic
1508C4⋊C4C2×D17211yescharacteristic
1509C4⋊C4C2×D17211yescharacteristic
1510C4⋊C4C2×D17211yescharacteristic
1511C4⋊C4C2×D17211yescharacteristic
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—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4C2×D17211yescharacteristic
1547C22⋊C4C2×D17211yescharacteristic
1548C22⋊C4C2×D17211yescharacteristic
1549C22⋊C4C2×D17211yescharacteristic
1550C22⋊C4C2×D17211yescharacteristic
1551C22⋊C4C2×D17211yescharacteristic
1552C22⋊C4C2×D17211yescharacteristic
1553C22⋊C4C2×D17211yescharacteristic
1554C22⋊C4C2×D17211yescharacteristic
1555C22⋊C4C2×D17211yescharacteristic
1556C42—861no—
1557C42—861no—
1558C42—861no—
1559C42—861no—
1560C42—861no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42C2×D17211yescharacteristic
1567C42C2×D17211yescharacteristic
1568C42C23×D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—3441no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—1722no—
1584C23—1722no—
1585C23—1722no—
1586C23—1722no—
1587C23C22×D17211yescharacteristic
1588C23C22×D17211yescharacteristic
1589C23C22×D17211yescharacteristic
1590Q8—41no—
1591Q8—432no—
1592Q8—861no—
1593Q8—861no—
1594Q8—861no—
1595Q8—3441no—
1596Q8—3441no—
1597Q8—1722no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—432no—
1602D4—861no—
1603D4—861no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—3441no—
1655C2×C4—3441no—
1656C2×C4—3441no—
1657C2×C4—3441no—
1658C2×C4—3441no—
1659C2×C4—3441no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—1722no—
1669C2×C4—1722no—
1670C2×C4—1722no—
1671C2×C4—1722no—
1672C2×C4—1722no—
1673C2×C4C22×D17211yescharacteristic
1674C2×C4C22×D17211yescharacteristic
1675C2×C4C22×D17211yescharacteristic
1676C2×C4C22×D17211yescharacteristic
1677C2×C4C22×D17211yescharacteristic
1678C2×C4C22×D17211yescharacteristic
1679C2×C4C22×D17211yescharacteristic
1680C2×C4C22×D17211yescharacteristic
1681C2×C4C22×D17211yescharacteristic
1682C2×C4C22×D17211yescharacteristic
1683C2×C4C22×D17211yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8#41×D4312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—862no—
1703C22—3444no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—6882no—
1722C22—6882no—
1723C22C23×D17211yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—862no—
1736C4—1721no—
1737C4—1721no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373511yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—41no—
1750C2—3441no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2—3441no—
1755C2—1722no—
1756C2#41×D17211yescharacteristic
1757C2#1914937611yescharacteristic
1758C2#1914937611yescharacteristic
subgroupG/H
centerC22C23×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2967C2
socleC22×C43C23×D4
hypercenter#2967D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #2967

Complements

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

NH ≅ G/Ntype
1. #19148700C2semidirect
2. #19148629C2semidirect
3. #19147639C2semidirect
4. #19147542C2semidirect
5. #19147350C2semidirect
6. #19147326C2semidirect
7. #19147157C2semidirect
8. #19147097C2semidirect
9. #19147097C2semidirect
10. #19146850C2semidirect
11. #19146838C2semidirect
12. #19146783C2semidirect
13. #19146738C2semidirect
14. #19146618C2semidirect
15. #19146603C2semidirect
16. #19146217C2semidirect
17. #19146095C2semidirect
18. #19146095C2semidirect
19. #19145278C2semidirect
20. #19145245C2semidirect
21. #19145190C2semidirect
22. #19144887C2semidirect
23. #19144839C2semidirect
24. #19144796C2semidirect
25. #19144781C2semidirect
26. #19144747C2semidirect
27. #19144735C2semidirect
28. #19143456C2semidirect
29. #19143429C2semidirect
30. C4×#13063353C2semidirect
31. C43×#2967C2semidirect
35. #14583634C22semidirect
37. #14583627C22semidirect
39. #14583614C22semidirect
45. #14583595C22semidirect
47. #14583589C22semidirect
50. #14583570C22semidirect
51. #14583558C22semidirect
52. #14583558C22semidirect
59. #14583520C22semidirect
63. #14583504C22semidirect
68. #14583433C22semidirect
73. #14583379C22semidirect
74. #14583376C22semidirect
77. C4×#10621898C22semidirect
79. #14583308C22semidirect
80. #14583308C22semidirect
81. #14583301C22semidirect
82. #14583288C22semidirect
83. #14583288C22semidirect
84. #14583276C22semidirect
85. #14583264C22semidirect
86. #14583264C22semidirect
87. #14583264C22semidirect
88. #14583259C22semidirect
89. #14583254C22semidirect
90. #14583246C22semidirect
91. #14583241C22semidirect
92. #14583230C22semidirect
93. #14583224C22semidirect
94. #14583224C22semidirect
95. #14583224C22semidirect
96. #14583224C22semidirect
97. #14583224C22semidirect
98. #14583224C22semidirect
99. #14583224C22semidirect
100. #14583218C22semidirect
101. #14583213C22semidirect
102. #14583213C22semidirect
103. #14583207C22semidirect
104. #14583207C22semidirect
105. #14583207C22semidirect
108. #14583200C22semidirect
109. #14583200C22semidirect
110. #14583200C22semidirect
112. #14583185C22semidirect
113. #14583180C22semidirect
114. #14583180C22semidirect
115. #14583152C22semidirect
116. #14583152C22semidirect
117. #14583152C22semidirect
118. #14583152C22semidirect
119. #14583152C22semidirect
120. #14583145C22semidirect
121. #14583145C22semidirect
122. #14583145C22semidirect
123. #14583135C22semidirect
124. #14583135C22semidirect
125. #14583135C22semidirect
126. #14583128C22semidirect
129. #14583115C22semidirect
130. #14583115C22semidirect
131. #14583100C22semidirect
132. #14583100C22semidirect
133. #14583100C22semidirect
134. #14583100C22semidirect
136. #14583095C22semidirect
137. #14583095C22semidirect
138. #14583095C22semidirect
141. #14583046C22semidirect
142. #14583046C22semidirect
143. #14583046C22semidirect
144. #14583046C22semidirect
145. #14583040C22semidirect
146. #14583040C22semidirect
153. #14583012C22semidirect
154. #14583012C22semidirect
155. #14583012C22semidirect
156. #14583012C22semidirect
157. #14583012C22semidirect
162. #14583001C22semidirect
163. #14583001C22semidirect
164. #14583001C22semidirect
165. #14583001C22semidirect
166. #14583001C22semidirect
169. C4×#10621873C22semidirect
170. C4×#10621873C22semidirect
171. C4×#10621873C22semidirect
172. C4×#10621873C22semidirect
173. C4×#10621873C22semidirect
176. C4×D344C22semidirect
177. C4×D344C22semidirect
178. C4×D344C22semidirect
179. #14582941C22semidirect
180. #14582941C22semidirect
181. #14582937C22semidirect
182. #14582909C22semidirect
185. #14582901C22semidirect
186. #14582896C22semidirect
189. C43×#446C22semidirect
190. C43×#446C22semidirect
191. C43×#436C22semidirect
192. C43×#436C22semidirect
193. C43×#435C22semidirect
194. C43×#435C22semidirect
195. C43×#435C22semidirect
196. C43×#435C22semidirect
197. C43×#433C22semidirect
198. C43×#433C22semidirect
199. C43×#432C22semidirect
200. C43×#405C22semidirect
201. C43×#405C22semidirect
202. C4×M16×C43C22semidirect
691. #10621873#41semidirect
895. #2967D43semidirect
1031. #446C2×D43semidirect
1032. #446C2×D43semidirect
1061. #436C2×D43semidirect
1062. #436C2×D43semidirect
1063. #435C2×D43semidirect
1064. #435C2×D43semidirect
1065. #435C2×D43semidirect
1066. #435C2×D43semidirect
1067. #433C2×D43semidirect
1068. #433C2×D43semidirect
1069. #432C2×D43semidirect
1079. #405C2×D43semidirect
1080. #405C2×D43semidirect
1081. C4×M16C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191487002
#191486292
#191476392
#191475422
#191473502
#191473262
#191471572
#191470972
#191468502
#191468382
#191467832
#191467382
#191466182
#191466032
#191462172
#191460952
#191452782
#191452452
#191451902
#191448872
#191448392
#191447962
#191447812
#191447472
#191447352
#191434562
#191434292
C4×#130633532
C43×#29672
#6150443