Finite Group Databasebeta

← #25967472

Subgroups — #25967472

Order 11008.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148273C211yesmaximal, characteristic
2#536×D43C211yesmaximal, characteristic, complemented
3#19145489C211yesmaximal, characteristic, complemented
4#19145488C211yesmaximal, characteristic, complemented
5#19145486C211yesmaximal, characteristic, complemented
6#19145483C211yesmaximal, characteristic, complemented
7#19145481C211yesmaximal, characteristic, complemented
8#19145479C211yesmaximal, characteristic, complemented
9#19145477C211yesmaximal, characteristic, complemented
10#19145429C211yesmaximal, characteristic, complemented
11#19145426C211yesmaximal, characteristic, complemented
12#19145417C211yesmaximal, characteristic, complemented
13#19145415C211yesmaximal, characteristic, complemented
14#19145380C211yesmaximal, characteristic, complemented
15#19145377C211yesmaximal, characteristic, complemented
16#19145368C211yesmaximal, characteristic, complemented
17#19145366C211yesmaximal, characteristic, complemented
18#19144561C211yesmaximal, characteristic, complemented
19#19144559C211yesmaximal, characteristic, complemented
20#19144542C211yesmaximal, characteristic, complemented
21#19144513C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144283C211yesmaximal, characteristic, complemented
24#19144248C211yesmaximal, characteristic, complemented
25#19144245C211yesmaximal, characteristic, complemented
26#19143885C211yesmaximal, characteristic, complemented
27#19143885C211yesmaximal, characteristic, complemented
28#19143830C211yesmaximal, characteristic, complemented
29#451×D43C211yesmaximal, characteristic, complemented
30#19143043C211yesmaximal, characteristic, complemented
31C43×#3202C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C22×Q8×D43C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063357C2211yescharacteristic, complemented
37C2×Q16×D43C2211yescharacteristic, complemented
38C2×Q16×D43C2211yescharacteristic, complemented
39C2×#13063333C2211yescharacteristic
40C2×#13063331C2211yescharacteristic
41#14583564—21no—
42#14583557—21no—
43#14583552—21no—
44#14583547—21no—
45#14583547—21no—
46#14583542—21no—
47#14583541—21no—
48#14583541—21no—
49#14583479C2211yescharacteristic
50#14583479C2211yescharacteristic
51#14583477C2211yescharacteristic
52#14583475C2211yescharacteristic
53#14583474—21no—
54#14583473C2211yescharacteristic
55#14583472C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583472C2211yescharacteristic
58#14583472C2211yescharacteristic
59#14583472C2211yescharacteristic
60#14583472C2211yescharacteristic
61#14583471—21no—
62#14583471—21no—
63#14583470C2211yescharacteristic
64#14583469—21no—
65C4⋊Q8×D43—21no—
66#124×D43—21no—
67#14583412C2211yescharacteristic
68#14583412C2211yescharacteristic
69#14583411C2211yescharacteristic
70#123×D43—21no—
71#123×D43—21no—
72C2×#13063301C2211yescharacteristic
73C22⋊Q8×D43C2211yescharacteristic
74C22⋊Q8×D43C2211yescharacteristic
75C22⋊Q8×D43C2211yescharacteristic
76C22⋊Q8×D43C2211yescharacteristic
77C22⋊Q8×D43C2211yescharacteristic
78C22⋊Q8×D43C2211yescharacteristic
79#14583379C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583243C2211yescharacteristic, complemented
82#14583242C2211yescharacteristic, complemented
83#14583241C2211yescharacteristic, complemented
84#14583240C2211yescharacteristic, complemented
85#14583240C2211yescharacteristic, complemented
86#14583240C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic
92#14583236C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic
95#14583233C2211yescharacteristic
96#14583233C2211yescharacteristic, complemented
97#14583232C2211yescharacteristic, complemented
98#14583231C2211yescharacteristic
99#14583231C2211yescharacteristic, complemented
100#14583230C2211yescharacteristic, complemented
101#14583228C2211yescharacteristic
102#14583228C2211yescharacteristic
103#14583228C2211yescharacteristic, complemented
104#14583227C2211yescharacteristic, complemented
105#14583224C2211yescharacteristic, complemented
106#14583223C2211yescharacteristic, complemented
107#14583219C2211yescharacteristic
108#14583214C2211yescharacteristic
109#14583158C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583156C2211yescharacteristic, complemented
113#14583156C2211yescharacteristic, complemented
114#14583155C2211yescharacteristic, complemented
115#14583155C2211yescharacteristic, complemented
116#14583155C2211yescharacteristic, complemented
117#14583154C2211yescharacteristic, complemented
118#14583154C2211yescharacteristic, complemented
119#14583148C2211yescharacteristic, complemented
120#14583147C2211yescharacteristic, complemented
121#14583146C2211yescharacteristic, complemented
122#14583145C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583140C2211yescharacteristic, complemented
125#14583139C2211yescharacteristic, complemented
126#14583139C2211yescharacteristic, complemented
127#14583139C2211yescharacteristic, complemented
128#14583138C2211yescharacteristic, complemented
129#14583138C2211yescharacteristic, complemented
130#14583138C2211yescharacteristic, complemented
131#14583137C2211yescharacteristic, complemented
132#14583137C2211yescharacteristic, complemented
133#14583131C2211yescharacteristic, complemented
134#14583130C2211yescharacteristic, complemented
135#14583129C2211yescharacteristic, complemented
136#14583128C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic, complemented
138#14583064C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583060C2211yescharacteristic, complemented
142#14583060C2211yescharacteristic, complemented
143#14583059C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic
147#14583056C2211yescharacteristic
148#14583056C2211yescharacteristic, complemented
149#14583056C2211yescharacteristic, complemented
150#14583055C2211yescharacteristic, complemented
151#14583055C2211yescharacteristic, complemented
152#14583055C2211yescharacteristic, complemented
153#14583054C2211yescharacteristic, complemented
154#14583054C2211yescharacteristic, complemented
155#14583053C2211yescharacteristic
156#14583053C2211yescharacteristic
157#14583053C2211yescharacteristic
158#14583053C2211yescharacteristic
159#14583053C2211yescharacteristic, complemented
160#14583053C2211yescharacteristic, complemented
161#14583040C2211yescharacteristic, complemented
162#14583039C2211yescharacteristic
163#14583039C2211yescharacteristic
164#14583038C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic, complemented
169#14582906C2211yescharacteristic, complemented
170#14582906C2211yescharacteristic, complemented
171#14582906C2211yescharacteristic, complemented
172#14582906C2211yescharacteristic, complemented
173#14582894C2211yescharacteristic, complemented
174#14582894C2211yescharacteristic, complemented
175#103×D43C2211yescharacteristic, complemented
176#103×D43C2211yescharacteristic, complemented
177#14582866C2211yescharacteristic
178#14582864C2211yescharacteristic
179#14582864C2211yescharacteristic
180#14582864C2211yescharacteristic
181#14582864C2211yescharacteristic
182#14582862C2211yescharacteristic
183#14582861C2211yescharacteristic
184#14582861C2211yescharacteristic
185C2×(C2×D43)⋊C8C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187C22⋊C8×D43C2211yescharacteristic
188C43×#536C2211yescharacteristic
189C43×#536C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#485C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#470C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#467C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#451C2211yescharacteristic, complemented
201C43×#451C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902D411yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621898—21no—
210C2×#10621898—21no—
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900D411yescharacteristic
216C2×#10621900D411yescharacteristic
217C2×#10621900D411yescharacteristic
218#41×D43—42no—
219#41×D43—42no—
220C22×Dic86—21no—
221C22×Dic86C2311yescharacteristic
222C2×Q8×D43—21no—
223C2×Q8×D43—21no—
224C2×Q8×D43—21no—
225C2×Q8×D43—42no—
226C2×Q8×D43—42no—
227C2×Q8×D43D411yescharacteristic
228C2×Q8×D43C2311yescharacteristic
229C2×Q8×D43C2311yescharacteristic
230C2×Q8×D43C2311yescharacteristic
231C2×Q8×D43C2311yescharacteristic
232C2×Q8×D43C2311yescharacteristic
233C2×Q8×D43C2311yescharacteristic
234C2×D4×D43D411yescharacteristic
235C2×D4×D43D411yescharacteristic
236C2×D4×D43D411yescharacteristic
237C22×C4×D43—21no—
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240C22×C4×D43C2311yescharacteristic
241#13063357—42no—
242#13063357—42no—
243C2×Dic172C2311yescharacteristic
244C2×Dic172C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621885C2311yescharacteristic
248C2×#10621885C2311yescharacteristic
249C2×#10621885C2311yescharacteristic
250C2×#10621885C2311yescharacteristic
251Q16×D43—42no—
252Q16×D43—42no—
253C2×#10621873C2311yescharacteristic
254C2×#10621873C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257#13063333—42no—
258#13063331—42no—
259C2×#10621877C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C22×C43⋊C8C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267C2×C8×D43C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269#13063325—21no—
270#13063324—21no—
271#13063324—21no—
272#13063324—21no—
273#13063324—21no—
274#13063324—21no—
275#13063324—21no—
276#13063323—21no—
277#13063323—21no—
278#13063314—21no—
279#13063313—21no—
280#13063312—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063311—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063310—21no—
293#13063310—21no—
294#13063310—21no—
295#13063309—21no—
296#13063309—21no—
297#13063309—21no—
298#13063308—21no—
299#13063308—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063306—21no—
307#13063306—21no—
308#13063305C2311yescharacteristic
309#13063305C2311yescharacteristic
310#13063305C2311yescharacteristic
311#13063305C2311yescharacteristic
312#13063305C2311yescharacteristic
313#13063305C2311yescharacteristic
314#13063304C2311yescharacteristic
315#13063304C2311yescharacteristic
316#13063304C2311yescharacteristic
317#13063304C2311yescharacteristic
318#13063304C2311yescharacteristic
319#13063304C2311yescharacteristic
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063303—21no—
324#13063303—21no—
325#13063303—21no—
326#13063303—21no—
327#13063303—21no—
328#13063302—21no—
329#13063302—21no—
330#13063302—21no—
331#13063302—21no—
332#13063302—21no—
333#13063302—21no—
334#13063301—21no—
335#13063301—21no—
336#13063301—21no—
337#13063301C2311yescharacteristic
338#13063301C2311yescharacteristic
339#13063301C2311yescharacteristic
340#13063301C2311yescharacteristic
341#13063301C2311yescharacteristic
342#13063301C2311yescharacteristic
343#13063301C2311yescharacteristic
344#13063301C2311yescharacteristic
345#13063300—21no—
346#13063300—21no—
347#13063300C2311yescharacteristic
348#13063300C2311yescharacteristic
349#13063299C2311yescharacteristic
350#13063299C2311yescharacteristic
351#13063298—21no—
352#13063298—21no—
353#13063298—21no—
354#13063298—21no—
355#13063297—21no—
356#13063297—21no—
357#13063296—21no—
358#13063295—21no—
359#13063295—21no—
360#13063295—21no—
361C4×Dic86—21no—
362C4×D172—21no—
363C4×D172—21no—
364C4×D172—21no—
365#13063287—21no—
366#13063287—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371#13063284C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063283C2311yescharacteristic
374#13063283C2311yescharacteristic
375#13063283C2311yescharacteristic
376#13063282—21no—
377#13063281—21no—
378C2×C4⋊Dic43C2311yescharacteristic
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43—21no—
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C4⋊C4×D43C2311yescharacteristic
389C4⋊C4×D43C2311yescharacteristic
390C2×(C2×D43)⋊C4—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C42×D43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063258C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409#13063256C2311yescharacteristic
410#13063256C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063249C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
429#13063248C2311yescharacteristic
430#13063248C2311yescharacteristic
431#13063247C2311yescharacteristic
432#13063247C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437C22⋊(C43⋊C8)C2311yescharacteristic
438C22⋊(C43⋊C8)C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444(C2×D43)⋊C8C2311yescharacteristic
445(C2×D43)⋊C8C2311yescharacteristic
446(C2×D43)⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C22×Q8×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×Q16×C43C2311yescharacteristic
453C2×Q16×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456C4⋊Q8×C43—21no—
457C4⋊Q8×C43—21no—
458#124×C43—21no—
459#124×C43—21no—
460#123×C43—21no—
461#123×C43—21no—
462#123×C43—21no—
463#123×C43—21no—
464C22⋊Q8×C43C2311yescharacteristic
465C22⋊Q8×C43C2311yescharacteristic
466C22⋊Q8×C43C2311yescharacteristic
467C22⋊Q8×C43C2311yescharacteristic
468C22⋊Q8×C43C2311yescharacteristic
469C22⋊Q8×C43C2311yescharacteristic
470C22⋊Q8×C43C2311yescharacteristic
471C22⋊Q8×C43C2311yescharacteristic
472#117×C43C2311yescharacteristic
473#117×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#106×C43C2311yescharacteristic
477#106×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#103×C43C2311yescharacteristic
485#103×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C23×D43C2×D411yescharacteristic
491C23×D43C2×D411yescharacteristic
492C23×D43C2×D411yescharacteristic
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43—21no—
497C2×Q8×C43—41no—
498C2×Q8×C43—41no—
499C2×Q8×C43—41no—
500C2×Q8×C43—41no—
501C2×Q8×C43C2×D411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×Q8×C43C2411yescharacteristic
505C2×Q8×C43C2411yescharacteristic
506C2×D4×C43C2×D411yescharacteristic
507C2×D4×C43C2×D411yescharacteristic
508C2×D4×C43C2×D411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C2×C22⋊D43C2×D411yescharacteristic
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43C2×D411yescharacteristic
526C22×Dic43C2×D411yescharacteristic
527C22×Dic43C2×D411yescharacteristic
528#10621902—22no—
529#10621902—22no—
530#10621902—42no—
531#10621902—41no—
532#10621902—41no—
533#10621902—44no—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—22no—
538Q8×D43—22no—
539Q8×D43—22no—
540Q8×D43—42no—
541Q8×D43—41no—
542Q8×D43—41no—
543Q8×D43—41no—
544Q8×D43—41no—
545Q8×D43—41no—
546Q8×D43—41no—
547Q8×D43—44no—
548Q8×D43—44no—
549Q8×D43—44no—
550#10621900—42no—
551#10621900—42no—
552#10621900—42no—
553D4×D43—42no—
554D4×D43—42no—
555D4×D43—42no—
556#10621898—22no—
557#10621898—22no—
558#10621898—22no—
559#10621898—22no—
560#10621898—41no—
561#10621898—41no—
562#10621898—41no—
563#10621898—41no—
564#10621898—44no—
565#10621898—44no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172C2×D411yescharacteristic
571C2×D172C2×D411yescharacteristic
572C2×D172C2×D411yescharacteristic
573C2×D172C2411yescharacteristic
574C2×C4×D43—22no—
575C2×C4×D43—22no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—44no—
590C2×C4×D43—41no—
591C2×C4×D43—41no—
592C2×C4×D43—41no—
593C2×C4×D43—41no—
594C2×C4×D43C2×D411yescharacteristic
595C2×C4×D43C2×D411yescharacteristic
596C2×C4×D43C2×D411yescharacteristic
597C2×C4×D43C2×D411yescharacteristic
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2×D411yescharacteristic
600C2×C4×D43C2411yescharacteristic
601C2×C4×D43C2411yescharacteristic
602C2×C4×D43C2411yescharacteristic
603C2×C4×D43C2411yescharacteristic
604C2×Dic86—21no—
605C2×Dic86—21no—
606C2×Dic86—21no—
607C2×Dic86—21no—
608C2×Dic86—21no—
609C2×Dic86—21no—
610C2×Dic86—21no—
611C2×Dic86—41no—
612C2×Dic86—41no—
613C2×Dic86—44no—
614C2×Dic86C2×D411yescharacteristic
615C2×Dic86C2×D411yescharacteristic
616C2×Dic86C2×D411yescharacteristic
617C2×Dic86C2411yescharacteristic
618C2×Dic86C2411yescharacteristic
619C2×Dic86C2411yescharacteristic
620Q16×C43—41no—
621Q16×C43—41no—
622Q16×C43—41no—
623Q16×C43—41no—
624M16×C43—41no—
625C2×C8×C43—41no—
626C2×C8×C43C2411yescharacteristic
627C2×C8×C43C2411yescharacteristic
628C2×C8×C43C2411yescharacteristic
629C2×C8×C43C2411yescharacteristic
630C4⋊C4×C43—21no—
631C4⋊C4×C43—21no—
632C4⋊C4×C43—21no—
633C4⋊C4×C43—21no—
634C4⋊C4×C43—21no—
635C4⋊C4×C43—21no—
636C4⋊C4×C43—21no—
637C4⋊C4×C43—21no—
638C4⋊C4×C43C2411yescharacteristic
639C4⋊C4×C43C2411yescharacteristic
640C4⋊C4×C43C2411yescharacteristic
641C4⋊C4×C43C2411yescharacteristic
642C22⋊C4×C43—21no—
643C22⋊C4×C43—21no—
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43—21no—
647C22⋊C4×C43—21no—
648C22⋊C4×C43—21no—
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C42×C43—21no—
653C42×C43—21no—
654C22⋊Dic43—21no—
655C22⋊Dic43—21no—
656C22⋊Dic43—21no—
657C22⋊Dic43—21no—
658C22⋊Dic43—21no—
659C22⋊Dic43—21no—
660C22⋊Dic43—21no—
661#10621885—41no—
662#10621885—41no—
663#10621885—41no—
664#10621885—41no—
665#10621885—41no—
666#10621885—41no—
667#10621884—41no—
668#10621884—41no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43C2411yescharacteristic
699C4⋊Dic43C2411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701C4⋊Dic43C2411yescharacteristic
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4—21no—
717Dic43⋊C4—21no—
718Dic43⋊C4—21no—
719Dic43⋊C4—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43—21no—
723C4×Dic43—21no—
724C4×Dic43—21no—
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731Dic172—41no—
732Dic172—41no—
733#10621873—41no—
734#10621873—41no—
735#10621872—22no—
736#10621872—22no—
737#10621872—41no—
738#10621872—41no—
739C8×D43—22no—
740C8×D43—22no—
741C8×D43—41no—
742C8×D43—41no—
743C23×C43C22×D411yescharacteristic
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C22×D43—22no—
747C22×D43—22no—
748C22×D43—22no—
749C22×D43—22no—
750C22×D43—21no—
751C22×D43—41no—
752C22×D43—41no—
753C22×D43—41no—
754C22×D43—41no—
755C22×D43—41no—
756C22×D43C22×D411yescharacteristic
757C22×D43C22×D411yescharacteristic
758C22×D43C22×D411yescharacteristic
759C22×D43C22×D411yescharacteristic
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—41no—
769Q8×C43—42no—
770Q8×C43—42no—
771D4×C43—41no—
772D4×C43—41no—
773D4×C43—41no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—42no—
789C2×C4×C43—42no—
790C2×C4×C43C22×D411yescharacteristic
791C2×C4×C43C22×D411yescharacteristic
792C2×C4×C43C22×D411yescharacteristic
793C2×C4×C43C2511yescharacteristic
794C22⋊D43—22no—
795C22⋊D43—22no—
796C22⋊D43—22no—
797C22⋊D43—22no—
798C22⋊D43—41no—
799C22⋊D43—41no—
800C22⋊D43—42no—
801C22⋊D43—81no—
802C22⋊D43—81no—
803C2×Dic43—22no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—21no—
811C2×Dic43—41no—
812C2×Dic43—41no—
813C2×Dic43—42no—
814C2×Dic43—81no—
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818C2×Dic43C22×D411yescharacteristic
819D172—22no—
820D172—22no—
821D172—21no—
822D172—21no—
823D172—41no—
824D172—42no—
825D172—42no—
826D172—42no—
827D172—81no—
828C4×D43—22no—
829C4×D43—21no—
830C4×D43—21no—
831C4×D43—21no—
832C4×D43—21no—
833C4×D43—21no—
834C4×D43—21no—
835C4×D43—22no—
836C4×D43—41no—
837C4×D43—41no—
838C4×D43—41no—
839C4×D43—41no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—42no—
843C4×D43—42no—
844C4×D43—42no—
845C4×D43—42no—
846C4×D43—42no—
847C4×D43—42no—
848C4×D43—42no—
849C4×D43—42no—
850C4×D43—42no—
851C4×D43—81no—
852C4×D43—81no—
853C4×D43H(5,𝔽2)12yes—
854C4×D43H(5,𝔽2)12yes—
855Dic86—22no—
856Dic86—22no—
857Dic86—21no—
858Dic86—21no—
859Dic86—21no—
860Dic86—21no—
861Dic86—21no—
862Dic86—21no—
863Dic86—41no—
864Dic86—42no—
865Dic86—42no—
866Dic86—42no—
867Dic86—42no—
868Dic86—42no—
869Dic86—42no—
870Dic86—42no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#60759—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—21no—
885C22×C43—21no—
886C22×C43—21no—
887C22×C43—21no—
888C22×C43—21no—
889C22×C43C23×D411yescharacteristic
890C2×D43—21no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—21no—
894C2×D43—21no—
895C2×D43—21no—
896C2×D43—21no—
897C2×D43—21no—
898C2×D43—21no—
899C2×D43—21no—
900C2×D43—44no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—82no—
905C2×D43—82no—
906C2×D43#53412yes—
907C2×D43#57812yes—
908C4×C43—21no—
909C4×C43—21no—
910C4×C43—21no—
911C4×C43—41no—
912C4×C43—41no—
913C4×C43—41no—
914C4×C43—41no—
915C4×C43—41no—
916C4×C43—41no—
917C4×C43—41no—
918C4×C43—41no—
919C4×C43C2×H(5,𝔽2)11yescharacteristic
920C4×C43C2×H(5,𝔽2)11yescharacteristic
921Dic43—21no—
922Dic43—21no—
923Dic43—21no—
924Dic43—41no—
925Dic43—41no—
926Dic43—41no—
927Dic43—41no—
928Dic43—41no—
929Dic43—41no—
930Dic43—41no—
931Dic43#53412yes—
932#3489—431no—
933C2×#536—431no—
934#3202—431no—
935#3202—431no—
936#3202—431no—
937#3202D4311yescharacteristic, complemented
938#3201—431no—
939#3201—431no—
940#3201—431no—
941#3201—431no—
942#3196—431no—
943#3196—431no—
944#3195—431no—
945#3195—431no—
946#3190—431no—
947#3190—431no—
948#3189—431no—
949#3189—431no—
950#3097—431no—
951#3097—431no—
952#3095—431no—
953#3091—431no—
954#3063—431no—
955#3063—431no—
956#3059—431no—
957#3059—431no—
958#3011—431no—
959#3011—431no—
960#3004—431no—
961C2×#451—431no—
962#2880—431no—
963C2×C43—41no—
964C2×C43—41no—
965C2×C43—41no—
966C2×C43C2×#53411yescharacteristic
967C2×C43C2×#57811yescharacteristic
968C2×C43#358611yescharacteristic
969D43—22no—
970D43—22no—
971D43—41no—
972D43—41no—
973D43—81no—
974C2×2−1+4—431no—
975C22×#41—431no—
976C23×Q8—431no—
977C2×#137—431no—
978C2×#137—431no—
979C22×Q16—431no—
980C22×Q16—431no—
981C2×#131—431no—
982C2×#131—431no—
983D4×Q8—861no—
984#548—861no—
985#547—861no—
986#547—861no—
987#547—861no—
988#546—861no—
989#546—861no—
990#546—861no—
991#537—431no—
992#537—431no—
993#537—431no—
994#536—431no—
995#536—431no—
996#536—431no—
997#536—431no—
998#536—431no—
999#536—431no—
1000#536—431no—
1001#536—431no—
1002#536—431no—
1003#536—861no—
1004#536—861no—
1005#536—861no—
1006#536—861no—
1007#536C2×D4311yescharacteristic
1008#536C2×D4311yescharacteristic
1009C2×C4⋊Q8—861no—
1010C2×#124—861no—
1011#525—431no—
1012#525—431no—
1013#525—431no—
1014C2×#123—861no—
1015C2×#123—861no—
1016C2×C22⋊Q8—431no—
1017C2×C22⋊Q8—431no—
1018C2×C22⋊Q8—431no—
1019C2×C22⋊Q8—431no—
1020C2×C22⋊Q8—431no—
1021C2×C22⋊Q8—431no—
1022C2×C22⋊Q8—431no—
1023#520—431no—
1024C2×#117—431no—
1025#485—431no—
1026#485—431no—
1027#485—431no—
1028#485—431no—
1029#485—431no—
1030#485—431no—
1031#485—431no—
1032#485—431no—
1033#485—431no—
1034#485—431no—
1035#485C2×D4311yescharacteristic, complemented
1036#485C2×D4311yescharacteristic, complemented
1037#485C2×D4311yescharacteristic, complemented
1038#485C2×D4311yescharacteristic, complemented
1039#484—431no—
1040#484—431no—
1041#484—431no—
1042#484—431no—
1043#484—431no—
1044#484—431no—
1045#484—431no—
1046#483—431no—
1047#483—431no—
1048#483—431no—
1049#483—431no—
1050#483—431no—
1051#483—431no—
1052#483—431no—
1053#482—431no—
1054#482—431no—
1055#481—431no—
1056#480—431no—
1057#470—431no—
1058#470—431no—
1059#470—431no—
1060#470—431no—
1061#470—431no—
1062#470—431no—
1063#470—431no—
1064#470—431no—
1065#470—431no—
1066#470—431no—
1067#470C2×D4311yescharacteristic, complemented
1068#470C2×D4311yescharacteristic, complemented
1069#468—431no—
1070#468—431no—
1071#468—431no—
1072#468—431no—
1073#467—431no—
1074#467—431no—
1075#467—431no—
1076#467—431no—
1077#467—431no—
1078#467—431no—
1079#467—431no—
1080#467—431no—
1081#467—431no—
1082#467—431no—
1083#467C2×D4311yescharacteristic, complemented
1084#467C2×D4311yescharacteristic, complemented
1085#465—431no—
1086#465—431no—
1087#465—431no—
1088#465—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#451—431no—
1098#451—431no—
1099#451—431no—
1100#451—431no—
1101#451—431no—
1102#451—431no—
1103#451—431no—
1104#451—431no—
1105#451—431no—
1106#451—431no—
1107#451—431no—
1108#451—431no—
1109#451—431no—
1110#451—431no—
1111#451—431no—
1112#451—431no—
1113#451C2×D4311yescharacteristic, complemented
1114#451C2×D4311yescharacteristic, complemented
1115#451C2×D4311yescharacteristic, complemented
1116#451C2×D4311yescharacteristic, complemented
1117#448—431no—
1118#448—431no—
1119#448—431no—
1120#448—431no—
1121#428—431no—
1122#428—431no—
1123#427—431no—
1124#427—431no—
1125#419—431no—
1126#419—431no—
1127#419—431no—
1128#419—431no—
1129#416—431no—
1130#416—431no—
1131C2×#103—431no—
1132C2×#103—431no—
1133#408—431no—
1134#408—431no—
1135#408—431no—
1136#408—431no—
1137#408—431no—
1138#408C2×D4311yescharacteristic
1139#407—431no—
1140#407—431no—
1141#407—431no—
1142C2×C22⋊C8—431no—
1143C2×C22⋊C8—431no—
1144C2×C22⋊C8—431no—
1145C43#6075911yescharacteristic, complemented, Sylow
11462−1+4—1722no—
11472−1+4—1722no—
1148C2×#41—431no—
1149C2×#41—431no—
1150C2×#41—431no—
1151C2×#41—431no—
1152C2×#41—431no—
1153C2×#41—431no—
1154C2×#41—431no—
1155C2×#41—431no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—861no—
1159C2×#41—861no—
1160C2×#41—861no—
1161C2×#41—1722no—
1162C2×#41—1722no—
1163C2×#41C22×D4311yescharacteristic
1164C22×Q8—431no—
1165C22×Q8—431no—
1166C22×Q8—431no—
1167C22×Q8—431no—
1168C22×Q8—431no—
1169C22×Q8—431no—
1170C22×Q8—431no—
1171C22×Q8—431no—
1172C22×Q8—861no—
1173C22×Q8—861no—
1174C22×Q8—861no—
1175C22×Q8—861no—
1176C22×Q8—1722no—
1177C22×Q8—1722no—
1178C22×Q8C22×D4311yescharacteristic
1179C22×Q8C22×D4311yescharacteristic
1180C22×D4—431no—
1181C22×D4—431no—
1182C22×D4—431no—
1183C23×C4—431no—
1184C23×C4—431no—
1185C23×C4—431no—
1186C23×C4—861no—
1187#137—1722no—
1188#137—1722no—
1189C2×Q16—431no—
1190C2×Q16—431no—
1191C2×Q16—431no—
1192C2×Q16—431no—
1193C2×Q16—431no—
1194C2×Q16—431no—
1195C2×Q16—431no—
1196C2×Q16—431no—
1197C2×Q16—1722no—
1198C2×Q16—1722no—
1199C2×Q16C22×D4311yescharacteristic
1200C2×Q16C22×D4311yescharacteristic
1201C2×Q16C22×D4311yescharacteristic
1202C2×Q16C22×D4311yescharacteristic
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207#131—1722no—
1208#131—1722no—
1209C2×M16—431no—
1210C2×M16—431no—
1211C2×M16—431no—
1212C2×M16—431no—
1213C2×M16—431no—
1214C2×M16C22×D4311yescharacteristic
1215C22×C8—431no—
1216C22×C8—431no—
1217C22×C8—431no—
1218C22×C8—431no—
1219C22×C8—431no—
1220C22×C8C22×D4311yescharacteristic
1221C4⋊Q8—21no—
1222C4⋊Q8—21no—
1223C4⋊Q8—861no—
1224C4⋊Q8—861no—
1225C4⋊Q8—861no—
1226C4⋊Q8—861no—
1227C4⋊Q8—861no—
1228C4⋊Q8—861no—
1229C4⋊Q8—861no—
1230C4⋊Q8—861no—
1231C4⋊Q8—861no—
1232#124—21no—
1233#124—21no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#124—861no—
1242#124—861no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—431no—
1275C22⋊Q8—431no—
1276C22⋊Q8—431no—
1277C22⋊Q8—431no—
1278C22⋊Q8—431no—
1279C22⋊Q8—431no—
1280C22⋊Q8—431no—
1281C22⋊Q8—431no—
1282C22⋊Q8—431no—
1283C22⋊Q8—431no—
1284C22⋊Q8—431no—
1285C22⋊Q8—431no—
1286C22⋊Q8—431no—
1287C22⋊Q8—431no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8—861no—
1295C22⋊Q8—861no—
1296C22⋊Q8—861no—
1297C22⋊Q8—861no—
1298C22⋊Q8—861no—
1299C22⋊Q8—861no—
1300C22⋊Q8—861no—
1301C22⋊Q8—861no—
1302C22⋊Q8—861no—
1303C22⋊Q8—861no—
1304C22⋊Q8—861no—
1305C22⋊Q8C22×D4311yescharacteristic
1306C22⋊Q8C22×D4311yescharacteristic
1307C22⋊Q8C22×D4311yescharacteristic
1308C22⋊Q8C22×D4311yescharacteristic
1309C22⋊Q8C22×D4311yescharacteristic
1310C22⋊Q8C22×D4311yescharacteristic
1311C22⋊Q8C22×D4311yescharacteristic
1312C22⋊Q8C22×D4311yescharacteristic
1313#121—431no—
1314#121—431no—
1315#121—431no—
1316#121—431no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#120—861no—
1327#120—861no—
1328#120—861no—
1329C4×Q8—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339#117—431no—
1340#117—431no—
1341#117—431no—
1342#117—431no—
1343#117—431no—
1344#117—861no—
1345#117—861no—
1346#117C22×D4311yescharacteristic
1347#117C22×D4311yescharacteristic
1348C2×C4⋊C4—431no—
1349C2×C4⋊C4—431no—
1350C2×C4⋊C4—431no—
1351C2×C4⋊C4—431no—
1352C2×C4⋊C4—431no—
1353C2×C4⋊C4—861no—
1354C2×C4⋊C4—861no—
1355C2×C4⋊C4—861no—
1356C2×C4⋊C4—861no—
1357C2×C4⋊C4—861no—
1358C2×C4⋊C4—861no—
1359C2×C4⋊C4—861no—
1360C2×C22⋊C4—861no—
1361C2×C22⋊C4—861no—
1362C2×C22⋊C4—861no—
1363C2×C22⋊C4—861no—
1364C2×C22⋊C4—861no—
1365C2×C22⋊C4—861no—
1366C2×C22⋊C4—861no—
1367C2×C22⋊C4—861no—
1368C2×C42—861no—
1369#107—431no—
1370#107—431no—
1371#107—431no—
1372#107—431no—
1373#107—431no—
1374#107—431no—
1375#107C22×D4311yescharacteristic
1376#107C22×D4311yescharacteristic
1377#106—431no—
1378#106—431no—
1379#106—431no—
1380#106—431no—
1381#106—431no—
1382#106—431no—
1383#106C22×D4311yescharacteristic
1384#106C22×D4311yescharacteristic
1385#103—431no—
1386#103—431no—
1387#103—431no—
1388#103—431no—
1389#103—431no—
1390#103—431no—
1391#103—431no—
1392#103—431no—
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#103C22×D4311yescharacteristic
1408#103C22×D4311yescharacteristic
1409#103C22×D4311yescharacteristic
1410#103C22×D4311yescharacteristic
1411#103C22×D4311yescharacteristic
1412#103C22×D4311yescharacteristic
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417C22⋊C8—431no—
1418C22⋊C8—431no—
1419C22⋊C8—431no—
1420C22⋊C8—431no—
1421C22⋊C8—431no—
1422C22⋊C8—431no—
1423C22⋊C8—431no—
1424C22⋊C8—431no—
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8C22×D4311yescharacteristic
1430C22⋊C8C22×D4311yescharacteristic
1431C22⋊C8C22×D4311yescharacteristic
1432C22⋊C8C22×D4311yescharacteristic
1433C24—431no—
1434C24—431no—
1435C24—431no—
1436#41—41no—
1437#41—41no—
1438#41—862no—
1439#41—862no—
1440#41—862no—
1441#41—862no—
1442#41—862no—
1443#41—862no—
1444#41—1721no—
1445#41—1721no—
1446#41—1721no—
1447#41—1721no—
1448#41—1724no—
1449#41—1724no—
1450#41—1722no—
1451#41—1722no—
1452#41—1722no—
1453#41—1722no—
1454#41—1721no—
1455#41—1721no—
1456#41—1724no—
1457C2×Q8—21no—
1458C2×Q8—21no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—431no—
1464C2×Q8—431no—
1465C2×Q8—431no—
1466C2×Q8—431no—
1467C2×Q8—431no—
1468C2×Q8—431no—
1469C2×Q8—861no—
1470C2×Q8—861no—
1471C2×Q8—861no—
1472C2×Q8—861no—
1473C2×Q8—861no—
1474C2×Q8—861no—
1475C2×Q8—862no—
1476C2×Q8—862no—
1477C2×Q8—862no—
1478C2×Q8—862no—
1479C2×Q8—862no—
1480C2×Q8—862no—
1481C2×Q8—861no—
1482C2×Q8—1721no—
1483C2×Q8—1721no—
1484C2×Q8—1724no—
1485C2×Q8—1721no—
1486C2×Q8—1721no—
1487C2×Q8—1721no—
1488C2×Q8—1721no—
1489C2×Q8—1721no—
1490C2×Q8—1721no—
1491C2×Q8—1722no—
1492C2×Q8—1724no—
1493C2×Q8—1724no—
1494C2×Q8—1724no—
1495C2×Q8D4×D4311yescharacteristic
1496C2×Q8C23×D4311yescharacteristic
1497C2×Q8C23×D4311yescharacteristic
1498C2×Q8C23×D4311yescharacteristic
1499C2×Q8C23×D4311yescharacteristic
1500C2×D4—431no—
1501C2×D4—431no—
1502C2×D4—431no—
1503C2×D4—431no—
1504C2×D4—431no—
1505C2×D4—431no—
1506C2×D4—431no—
1507C2×D4—431no—
1508C2×D4—431no—
1509C2×D4—431no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—1722no—
1518C2×D4—1722no—
1519C2×D4—1722no—
1520C2×D4D4×D4311yescharacteristic
1521C2×D4D4×D4311yescharacteristic
1522C2×D4D4×D4311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—431no—
1526C22×C4—431no—
1527C22×C4—431no—
1528C22×C4—431no—
1529C22×C4—431no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—862no—
1539C22×C4—862no—
1540C22×C4—861no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—861no—
1544C22×C4—861no—
1545C22×C4—861no—
1546C22×C4—861no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—861no—
1555C22×C4—1721no—
1556C22×C4—1721no—
1557C22×C4—1721no—
1558C22×C4—1721no—
1559C22×C4—1724no—
1560C22×C4C23×D4311yescharacteristic
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—41no—
1566Q16—41no—
1567Q16—1721no—
1568Q16—1721no—
1569Q16—1721no—
1570Q16—1721no—
1571Q16—1721no—
1572Q16—1721no—
1573Q16—1721no—
1574Q16—1721no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578SD16—1721no—
1579M16—41no—
1580M16—862no—
1581M16—862no—
1582M16—1721no—
1583M16—1721no—
1584M16—1721no—
1585C2×C8—41no—
1586C2×C8—431no—
1587C2×C8—431no—
1588C2×C8—431no—
1589C2×C8—431no—
1590C2×C8—862no—
1591C2×C8—862no—
1592C2×C8—1721no—
1593C2×C8—1721no—
1594C2×C8—1721no—
1595C2×C8C23×D4311yescharacteristic
1596C2×C8C23×D4311yescharacteristic
1597C2×C8C23×D4311yescharacteristic
1598C2×C8C23×D4311yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—431no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—861no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4—861no—
1634C4⋊C4—861no—
1635C4⋊C4—861no—
1636C4⋊C4C23×D4311yescharacteristic
1637C4⋊C4C23×D4311yescharacteristic
1638C4⋊C4C23×D4311yescharacteristic
1639C4⋊C4C23×D4311yescharacteristic
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4—861no—
1679C42—21no—
1680C42—21no—
1681C42—861no—
1682C42—861no—
1683C42—861no—
1684C42—861no—
1685C42—861no—
1686C23—431no—
1687C23—431no—
1688C23—431no—
1689C23—431no—
1690C23—862no—
1691C23—862no—
1692C23—862no—
1693C23—862no—
1694C23—861no—
1695C23—1721no—
1696C23—1721no—
1697C23—1721no—
1698C23—1721no—
1699C23—1721no—
1700C23C2×D4×D4311yescharacteristic
1701C23C2×D4×D4311yescharacteristic
1702C23C2×D4×D4311yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—41no—
1712Q8—42no—
1713Q8—42no—
1714Q8—862no—
1715Q8—862no—
1716Q8—861no—
1717Q8—861no—
1718Q8—861no—
1719Q8—861no—
1720Q8—861no—
1721Q8—861no—
1722Q8—1721no—
1723Q8—1722no—
1724Q8—1722no—
1725Q8—1722no—
1726Q8—1722no—
1727Q8—1722no—
1728Q8—1722no—
1729Q8—1722no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—862no—
1734D4—862no—
1735D4—862no—
1736D4—862no—
1737D4—862no—
1738D4—862no—
1739D4—861no—
1740D4—861no—
1741D4—3441no—
1742D4—3441no—
1743D4—3441no—
1744D4—1721no—
1745D4—1722no—
1746D4—1722no—
1747D4—1722no—
1748D4—1721no—
1749D4—1721no—
1750D4—1722no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—431no—
1768C2×C4—432no—
1769C2×C4—432no—
1770C2×C4—431no—
1771C2×C4—431no—
1772C2×C4—431no—
1773C2×C4—862no—
1774C2×C4—862no—
1775C2×C4—862no—
1776C2×C4—861no—
1777C2×C4—861no—
1778C2×C4—861no—
1779C2×C4—861no—
1780C2×C4—861no—
1781C2×C4—861no—
1782C2×C4—861no—
1783C2×C4—861no—
1784C2×C4—861no—
1785C2×C4—861no—
1786C2×C4—861no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—3441no—
1790C2×C4—3441no—
1791C2×C4—3441no—
1792C2×C4—1721no—
1793C2×C4—1721no—
1794C2×C4—1721no—
1795C2×C4—1721no—
1796C2×C4—1722no—
1797C2×C4—1722no—
1798C2×C4—1722no—
1799C2×C4—1722no—
1800C2×C4—1722no—
1801C2×C4—1722no—
1802C2×C4—1722no—
1803C2×C4—1722no—
1804C2×C4—1722no—
1805C2×C4—1722no—
1806C2×C4—1722no—
1807C2×C4—1721no—
1808C2×C4—1721no—
1809C2×C4—1722no—
1810C2×C4C2×D4×D4311yescharacteristic
1811C2×C4C2×D4×D4311yescharacteristic
1812C2×C4C2×D4×D4311yescharacteristic
1813C2×C4C24×D4311yescharacteristic
1814C8—21no—
1815C8—21no—
1816C8—21no—
1817C8—21no—
1818C8—861no—
1819C8—861no—
1820C8—861no—
1821C8—861no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—432no—
1832C22—432no—
1833C22—861no—
1834C22—861no—
1835C22—861no—
1836C22—861no—
1837C22—861no—
1838C22—861no—
1839C22—861no—
1840C22—861no—
1841C22—861no—
1842C22—861no—
1843C22—3442no—
1844C22—3442no—
1845C22—1724no—
1846C22—1721no—
1847C22—1721no—
1848C22—1721no—
1849C22C22×D4×D4311yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—432no—
1862C4—861no—
1863C4—861no—
1864C4—861no—
1865C4—1721no—
1866C4—1721no—
1867C4—1721no—
1868C4—1721no—
1869C4—1721no—
1870C4—1721no—
1871C4—1721no—
1872C4H(5,𝔽2)×D4311yescharacteristic
1873C4H(5,𝔽2)×D4311yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—41no—
1877C2—862no—
1878C2—862no—
1879C2—3441no—
1880C2—1721no—
1881C2—1721no—
1882C2#534×D4311yescharacteristic
1883C2#578×D4311yescharacteristic
1884C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3202C2
socleC22×C43C23×D4
prime radical#19148273C2
hypercenter#3202D43
hypocenterC43#60759
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3202

Complements

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

NH ≅ G/Ntype
2. #536×D43C2semidirect
3. #19145489C2semidirect
4. #19145488C2semidirect
5. #19145486C2semidirect
6. #19145483C2semidirect
7. #19145481C2semidirect
8. #19145479C2semidirect
9. #19145477C2semidirect
10. #19145429C2semidirect
11. #19145426C2semidirect
12. #19145417C2semidirect
13. #19145415C2semidirect
14. #19145380C2semidirect
15. #19145377C2semidirect
16. #19145368C2semidirect
17. #19145366C2semidirect
18. #19144561C2semidirect
19. #19144559C2semidirect
20. #19144542C2semidirect
21. #19144513C2semidirect
22. #19144285C2semidirect
23. #19144283C2semidirect
24. #19144248C2semidirect
25. #19144245C2semidirect
26. #19143885C2semidirect
27. #19143885C2semidirect
28. #19143830C2semidirect
29. #451×D43C2semidirect
30. #19143043C2semidirect
31. C43×#3202C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063357C22semidirect
37. C2×Q16×D43C22semidirect
38. C2×Q16×D43C22semidirect
81. #14583243C22semidirect
82. #14583242C22semidirect
83. #14583241C22semidirect
84. #14583240C22semidirect
85. #14583240C22semidirect
86. #14583240C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583237C22semidirect
92. #14583236C22semidirect
93. #14583235C22semidirect
96. #14583233C22semidirect
97. #14583232C22semidirect
99. #14583231C22semidirect
100. #14583230C22semidirect
103. #14583228C22semidirect
104. #14583227C22semidirect
105. #14583224C22semidirect
106. #14583223C22semidirect
109. #14583158C22semidirect
110. #14583157C22semidirect
111. #14583156C22semidirect
112. #14583156C22semidirect
113. #14583156C22semidirect
114. #14583155C22semidirect
115. #14583155C22semidirect
116. #14583155C22semidirect
117. #14583154C22semidirect
118. #14583154C22semidirect
119. #14583148C22semidirect
120. #14583147C22semidirect
121. #14583146C22semidirect
122. #14583145C22semidirect
123. #14583141C22semidirect
124. #14583140C22semidirect
125. #14583139C22semidirect
126. #14583139C22semidirect
127. #14583139C22semidirect
128. #14583138C22semidirect
129. #14583138C22semidirect
130. #14583138C22semidirect
131. #14583137C22semidirect
132. #14583137C22semidirect
133. #14583131C22semidirect
134. #14583130C22semidirect
135. #14583129C22semidirect
136. #14583128C22semidirect
137. #14583064C22semidirect
138. #14583064C22semidirect
139. #14583063C22semidirect
140. #14583063C22semidirect
141. #14583060C22semidirect
142. #14583060C22semidirect
143. #14583059C22semidirect
144. #14583059C22semidirect
145. #14583057C22semidirect
148. #14583056C22semidirect
149. #14583056C22semidirect
150. #14583055C22semidirect
151. #14583055C22semidirect
152. #14583055C22semidirect
153. #14583054C22semidirect
154. #14583054C22semidirect
159. #14583053C22semidirect
160. #14583053C22semidirect
161. #14583040C22semidirect
164. #14583038C22semidirect
165. #14582940C22semidirect
166. #14582938C22semidirect
167. #14582936C22semidirect
168. #14582934C22semidirect
169. #14582906C22semidirect
170. #14582906C22semidirect
171. #14582906C22semidirect
172. #14582906C22semidirect
173. #14582894C22semidirect
174. #14582894C22semidirect
175. #103×D43C22semidirect
176. #103×D43C22semidirect
190. C43×#485C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
193. C43×#485C22semidirect
194. C43×#470C22semidirect
195. C43×#470C22semidirect
196. C43×#467C22semidirect
197. C43×#467C22semidirect
198. C43×#451C22semidirect
199. C43×#451C22semidirect
200. C43×#451C22semidirect
201. C43×#451C22semidirect
937. #3202D43semidirect
1035. #485C2×D43semidirect
1036. #485C2×D43semidirect
1037. #485C2×D43semidirect
1038. #485C2×D43semidirect
1067. #470C2×D43semidirect
1068. #470C2×D43semidirect
1083. #467C2×D43semidirect
1084. #467C2×D43semidirect
1113. #451C2×D43semidirect
1114. #451C2×D43semidirect
1115. #451C2×D43semidirect
1116. #451C2×D43semidirect
1145. C43#60759semidirect

Maximal subgroups

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

subgroupindex
#191482732
#536×D432
#191454892
#191454882
#191454862
#191454832
#191454812
#191454792
#191454772
#191454292
#191454262
#191454172
#191454152
#191453802
#191453772
#191453682
#191453662
#191445612
#191445592
#191445422
#191445132
#191442852
#191442832
#191442482
#191442452
#191438852
#191438302
#451×D432
#191430432
C43×#32022
#6075943