Finite Group Databasebeta

← #25967563

Subgroups — #25967563

Order 11008.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148270C211yesmaximal, characteristic, complemented
2#537×D43C211yesmaximal, characteristic, complemented
3#19145495C211yesmaximal, characteristic, complemented
4#19145494C211yesmaximal, characteristic, complemented
5#19145492C211yesmaximal, characteristic, complemented
6#19145482C211yesmaximal, characteristic, complemented
7#19145479C211yesmaximal, characteristic, complemented
8#19145474C211yesmaximal, characteristic, complemented
9#19145471C211yesmaximal, characteristic, complemented
10#19145423C211yesmaximal, characteristic, complemented
11#19145420C211yesmaximal, characteristic, complemented
12#19145403C211yesmaximal, characteristic, complemented
13#19145396C211yesmaximal, characteristic, complemented
14#19145369C211yesmaximal, characteristic, complemented
15#19145366C211yesmaximal, characteristic, complemented
16#19145358C211yesmaximal, characteristic, complemented
17#19145355C211yesmaximal, characteristic, complemented
18#19144574C211yesmaximal, characteristic, complemented
19#19144568C211yesmaximal, characteristic, complemented
20#19144514C211yesmaximal, characteristic, complemented
21#484×D43C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144281C211yesmaximal, characteristic, complemented
24#19144263C211yesmaximal, characteristic, complemented
25#19144260C211yesmaximal, characteristic, complemented
26#19143914C211yesmaximal, characteristic, complemented
27#19143908C211yesmaximal, characteristic, complemented
28#19143852C211yesmaximal, characteristic, complemented
29#19143810C211yesmaximal, characteristic, complemented
30#19143043C211yesmaximal, characteristic, complemented
31C43×#3203C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic, complemented
33C2×#41×D43C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063346C2211yescharacteristic, complemented
38C2×#13063344C2211yescharacteristic, complemented
39C2×#13063333C2211yescharacteristic, complemented
40C2×#13063331C2211yescharacteristic, complemented
41#14583562—21no—
42#14583555—21no—
43#14583551—21no—
44#14583549—21no—
45#14583549—21no—
46#14583546—21no—
47#14583538—21no—
48#14583538—21no—
49#14583480C2211yescharacteristic
50#14583479—21no—
51#14583479C2211yescharacteristic
52#14583479C2211yescharacteristic
53#14583478—21no—
54#14583478C2211yescharacteristic
55#14583478C2211yescharacteristic
56#14583478C2211yescharacteristic, complemented
57#14583478C2211yescharacteristic, complemented
58#14583477C2211yescharacteristic
59#14583477C2211yescharacteristic
60#14583476—21no—
61#14583476—21no—
62#14583472C2211yescharacteristic, complemented
63#14583472C2211yescharacteristic, complemented
64#14583470C2211yescharacteristic, complemented
65#14583409C2211yescharacteristic
66#14583409C2211yescharacteristic
67#14583406C2211yescharacteristic
68C2×#13063305C2211yescharacteristic
69C22⋊Q8×D43—21no—
70C22⋊Q8×D43C2211yescharacteristic
71C22⋊Q8×D43C2211yescharacteristic
72C22⋊Q8×D43C2211yescharacteristic
73C22⋊Q8×D43C2211yescharacteristic
74#121×D43—21no—
75#121×D43—21no—
76#121×D43—21no—
77#121×D43C2211yescharacteristic
78#121×D43C2211yescharacteristic
79#14583380C2211yescharacteristic, complemented
80C2×C4⋊C4×D43C2211yescharacteristic
81#14583242C2211yescharacteristic, complemented
82#14583241C2211yescharacteristic, complemented
83#14583238C2211yescharacteristic, complemented
84#14583237C2211yescharacteristic, complemented
85#14583236C2211yescharacteristic
86#14583236C2211yescharacteristic
87#14583236C2211yescharacteristic
88#14583236C2211yescharacteristic
89#14583236C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583234C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic
94#14583233C2211yescharacteristic
95#14583233C2211yescharacteristic, complemented
96#14583232C2211yescharacteristic, complemented
97#14583230C2211yescharacteristic, complemented
98#14583229C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic, complemented
100#14583224C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic, complemented
102#14583220C2211yescharacteristic, complemented
103#14583216C2211yescharacteristic
104#14583216C2211yescharacteristic
105#14583214C2211yescharacteristic, complemented
106#14583212C2211yescharacteristic, complemented
107#14583211C2211yescharacteristic, complemented
108#14583210C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583145C2211yescharacteristic, complemented
117#14583144C2211yescharacteristic, complemented
118#14583144C2211yescharacteristic, complemented
119#14583144C2211yescharacteristic, complemented
120#14583143C2211yescharacteristic, complemented
121#14583143C2211yescharacteristic, complemented
122#14583142C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583141C2211yescharacteristic, complemented
125#14583140C2211yescharacteristic, complemented
126#14583139C2211yescharacteristic, complemented
127#14583139C2211yescharacteristic, complemented
128#14583138C2211yescharacteristic, complemented
129#14583138C2211yescharacteristic, complemented
130#14583134C2211yescharacteristic, complemented
131#14583133C2211yescharacteristic, complemented
132#14583132C2211yescharacteristic, complemented
133#14583131C2211yescharacteristic, complemented
134#14583128C2211yescharacteristic, complemented
135#14583126C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583063C2211yescharacteristic, complemented
138#14583063C2211yescharacteristic, complemented
139#14583062C2211yescharacteristic, complemented
140#14583061C2211yescharacteristic, complemented
141#14583061C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583059C2211yescharacteristic, complemented
144#14583058C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic
147#14583056C2211yescharacteristic
148#14583056C2211yescharacteristic, complemented
149#14583054C2211yescharacteristic, complemented
150#14583053C2211yescharacteristic
151#14583053C2211yescharacteristic, complemented
152#14583051C2211yescharacteristic
153#14583051C2211yescharacteristic
154#14583048C2211yescharacteristic
155#14583045C2211yescharacteristic, complemented
156#14583044C2211yescharacteristic, complemented
157#14583042C2211yescharacteristic, complemented
158#14583041C2211yescharacteristic, complemented
159#14583040C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic, complemented
161#14583037C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic
163#14583036C2211yescharacteristic, complemented
164#14583031C2211yescharacteristic
165#14582940C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic, complemented
167#107×D43C2211yescharacteristic, complemented
168#107×D43C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic, complemented
170#14582897C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582894C2211yescharacteristic, complemented
174#14582892C2211yescharacteristic, complemented
175#103×D43C2211yescharacteristic, complemented
176#103×D43C2211yescharacteristic, complemented
177#14582866C2211yescharacteristic, complemented
178#14582864C2211yescharacteristic, complemented
179#14582864C2211yescharacteristic, complemented
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582862C2211yescharacteristic
183#14582861C2211yescharacteristic
184#14582861C2211yescharacteristic
185C2×(C2×D43)⋊C8C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187C22⋊C8×D43C2211yescharacteristic
188C43×#537C2211yescharacteristic
189C43×#537C2211yescharacteristic, complemented
190C43×#484C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#480C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#449C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205C2×#10621902D411yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621898C2311yescharacteristic
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900—21no—
215C2×#10621900—21no—
216C2×#10621900D411yescharacteristic
217C2×#10621900D411yescharacteristic
218C2×#10621900D411yescharacteristic
219C2×#10621900C2311yescharacteristic
220C2×#10621900C2311yescharacteristic
221C2×#10621900C2311yescharacteristic
222#41×D43—42no—
223#41×D43—42no—
224#41×D43—42no—
225#41×D43—42no—
226C22×Dic86—21no—
227C22×Dic86C2311yescharacteristic
228C2×Q8×D43D411yescharacteristic
229C2×Q8×D43C2311yescharacteristic
230C2×Q8×D43C2311yescharacteristic
231C2×Q8×D43C2311yescharacteristic
232C2×D4×D43—21no—
233C2×D4×D43—21no—
234C2×D4×D43—21no—
235C2×D4×D43D411yescharacteristic
236C2×D4×D43D411yescharacteristic
237C2×D4×D43D411yescharacteristic
238C2×D4×D43C2311yescharacteristic
239C22×C4×D43—21no—
240C22×C4×D43—21no—
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063357—42no—
245#13063354—42no—
246#13063346—42no—
247#13063344—42no—
248C2×Dic172C2311yescharacteristic
249C2×Dic172C2311yescharacteristic
250C2×#10621885C2311yescharacteristic
251C2×#10621885C2311yescharacteristic
252C2×#10621885C2311yescharacteristic
253C2×#10621873C2311yescharacteristic
254C2×#10621873C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621883C2311yescharacteristic
258C2×#10621884C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260#13063333—42no—
261#13063331—42no—
262C2×#10621877C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C22×C43⋊C8C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269C2×C8×D43C2311yescharacteristic
270C2×C8×D43C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272#13063324—21no—
273#13063324—21no—
274#13063323—21no—
275#13063312—21no—
276#13063311—21no—
277#13063311—21no—
278#13063310—21no—
279#13063310—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063306—21no—
285#13063306—21no—
286#13063306—21no—
287#13063305—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063304—21no—
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063301—21no—
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063301C2311yescharacteristic
321#13063301C2311yescharacteristic
322#13063300—21no—
323#13063300—21no—
324#13063300—21no—
325#13063300C2311yescharacteristic
326#13063300C2311yescharacteristic
327#13063299—21no—
328#13063299—21no—
329#13063299—21no—
330#13063299C2311yescharacteristic
331#13063299C2311yescharacteristic
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063297—21no—
351#13063297—21no—
352#13063296—21no—
353#13063296—21no—
354#13063296—21no—
355#13063296—21no—
356#13063296—21no—
357#13063296C2311yescharacteristic
358#13063296C2311yescharacteristic
359#13063296C2311yescharacteristic
360#13063296C2311yescharacteristic
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364#13063290—21no—
365D4×Dic43—21no—
366D4×Dic43—21no—
367#13063287—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374#13063284C2311yescharacteristic
375#13063283C2311yescharacteristic
376#13063283C2311yescharacteristic
377C2×C4⋊Dic43—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
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C2×(C2×D43)⋊C4—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063258C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063258C2311yescharacteristic
406#13063258C2311yescharacteristic
407#13063257C2311yescharacteristic
408#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
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
448C2×#41×C43C2311yescharacteristic
449C2×#41×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43—21no—
464#121×C43—21no—
465#121×C43—21no—
466#121×C43—21no—
467#121×C43—21no—
468#121×C43C2311yescharacteristic
469#121×C43C2311yescharacteristic
470#121×C43C2311yescharacteristic
471#121×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473C2×C4⋊C4×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#107×C43C2311yescharacteristic
477#107×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492C23×D43C2×D411yescharacteristic
493C23×D43C2×D411yescharacteristic
494#41×C43—41no—
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500C2×Q8×C43C2×D411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43C2×D411yescharacteristic
510C2×D4×C43C2×D411yescharacteristic
511C2×D4×C43C2×D411yescharacteristic
512C2×D4×C43C2411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43C2×D411yescharacteristic
533C2×C22⋊D43C2×D411yescharacteristic
534C2×C22⋊D43C2×D411yescharacteristic
535C2×C22⋊D43C2×D411yescharacteristic
536C2×C22⋊D43C2×D411yescharacteristic
537C2×C22⋊D43C2×D411yescharacteristic
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43C2×D411yescharacteristic
544C22×Dic43C2×D411yescharacteristic
545C22×Dic43C2×D411yescharacteristic
546#10621902—22no—
547#10621902—22no—
548#10621902—42no—
549Q8×D43—22no—
550Q8×D43—22no—
551Q8×D43—42no—
552Q8×D43—41no—
553Q8×D43—41no—
554Q8×D43—41no—
555Q8×D43—41no—
556#10621900—22no—
557#10621900—22no—
558#10621900—22no—
559#10621900—22no—
560#10621900—41no—
561#10621900—41no—
562#10621900—42no—
563#10621900—42no—
564#10621900—42no—
565#10621900—44no—
566#10621900—44no—
567#10621900—44no—
568D4×D43—42no—
569D4×D43—42no—
570D4×D43—44no—
571D4×D43—41no—
572D4×D43—41no—
573D4×D43—42no—
574D4×D43—82no—
575D4×D43—82no—
576#10621898—22no—
577#10621898—22no—
578#10621898—22no—
579#10621898—22no—
580#10621898—41no—
581#10621898—41no—
582#10621898—41no—
583#10621898—41no—
584#10621898—44no—
585#10621898—44no—
586C2×D172—21no—
587C2×D172—21no—
588C2×D172—21no—
589C2×D172C2×D411yescharacteristic
590C2×D172C2×D411yescharacteristic
591C2×D172C2×D411yescharacteristic
592C2×D172C2411yescharacteristic
593C2×C4×D43—22no—
594C2×C4×D43—22no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—21no—
601C2×C4×D43—21no—
602C2×C4×D43—21no—
603C2×C4×D43—21no—
604C2×C4×D43—21no—
605C2×C4×D43—21no—
606C2×C4×D43—41no—
607C2×C4×D43—41no—
608C2×C4×D43—41no—
609C2×C4×D43—41no—
610C2×C4×D43—44no—
611C2×C4×D43—82no—
612C2×C4×D43C2×D411yescharacteristic
613C2×C4×D43C2×D411yescharacteristic
614C2×C4×D43C2×D411yescharacteristic
615C2×C4×D43C2×D411yescharacteristic
616C2×C4×D43C2×D411yescharacteristic
617C2×C4×D43C2×D411yescharacteristic
618C2×C4×D43C2411yescharacteristic
619C2×C4×D43C2411yescharacteristic
620C2×C4×D43C2411yescharacteristic
621C2×C4×D43C2411yescharacteristic
622C2×Dic86—21no—
623C2×Dic86—21no—
624C2×Dic86—21no—
625C2×Dic86—21no—
626C2×Dic86—41no—
627C2×Dic86—41no—
628C2×Dic86—44no—
629C2×Dic86C2×D411yescharacteristic
630C2×Dic86C2×D411yescharacteristic
631C2×Dic86C2×D411yescharacteristic
632C2×Dic86C2411yescharacteristic
633C2×Dic86C2411yescharacteristic
634C2×Dic86C2411yescharacteristic
635Q16×C43—41no—
636SD16×C43—41no—
637SD16×C43—41no—
638D8×C43—41no—
639M16×C43—41no—
640C2×C8×C43—41no—
641C2×C8×C43C2411yescharacteristic
642C2×C8×C43C2411yescharacteristic
643C2×C8×C43C2411yescharacteristic
644C2×C8×C43C2411yescharacteristic
645C4⋊C4×C43—21no—
646C4⋊C4×C43—21no—
647C4⋊C4×C43—21no—
648C4⋊C4×C43—21no—
649C4⋊C4×C43—21no—
650C4⋊C4×C43—21no—
651C4⋊C4×C43C2411yescharacteristic
652C4⋊C4×C43C2411yescharacteristic
653C4⋊C4×C43C2411yescharacteristic
654C4⋊C4×C43C2411yescharacteristic
655C22⋊C4×C43—21no—
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C22⋊Dic43—21no—
664C22⋊Dic43—21no—
665C22⋊Dic43—21no—
666C22⋊Dic43—21no—
667C22⋊Dic43—21no—
668C22⋊Dic43—21no—
669C22⋊Dic43—21no—
670C22⋊Dic43—21no—
671C22⋊Dic43—21no—
672C22⋊Dic43—21no—
673C22⋊Dic43—21no—
674#10621885—41no—
675#10621885—41no—
676#10621885—41no—
677#10621884—41no—
678#10621883—41no—
679#10621883—41no—
680#10621883—41no—
681#10621882—41no—
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—
691(C2×D43)⋊C4—21no—
692(C2×D43)⋊C4—21no—
693(C2×D43)⋊C4—21no—
694(C2×D43)⋊C4—21no—
695(C2×D43)⋊C4—21no—
696(C2×D43)⋊C4—21no—
697(C2×D43)⋊C4—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43—21no—
700C4⋊Dic43—21no—
701C4⋊Dic43—21no—
702C4⋊Dic43—21no—
703C4⋊Dic43—21no—
704C4⋊Dic43—21no—
705C4⋊Dic43C2411yescharacteristic
706C4⋊Dic43C2411yescharacteristic
707C4⋊Dic43C2411yescharacteristic
708C4⋊Dic43C2411yescharacteristic
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—
720Dic43⋊C4—21no—
721Dic43⋊C4—21no—
722Dic43⋊C4—21no—
723Dic43⋊C4—21no—
724Dic43⋊C4—21no—
725C4×Dic43—21no—
726C4×Dic43—21no—
727C4×Dic43—21no—
728#10621877—41no—
729C2×C43⋊C8—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734Dic172—41no—
735Dic172—41no—
736#10621873—41no—
737#10621873—41no—
738#10621872—22no—
739#10621872—22no—
740#10621872—41no—
741#10621872—41no—
742C8×D43—22no—
743C8×D43—22no—
744C8×D43—41no—
745C8×D43—41no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43C22×D411yescharacteristic
749C23×C43C22×D411yescharacteristic
750C23×C43C22×D411yescharacteristic
751C22×D43—22no—
752C22×D43—22no—
753C22×D43—22no—
754C22×D43—22no—
755C22×D43—21no—
756C22×D43—41no—
757C22×D43—41no—
758C22×D43—41no—
759C22×D43—41no—
760C22×D43—41no—
761C22×D43—42no—
762C22×D43—42no—
763C22×D43—42no—
764C22×D43C22×D411yescharacteristic
765C22×D43C22×D411yescharacteristic
766C22×D43C22×D411yescharacteristic
767C22×D43C22×D411yescharacteristic
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—21no—
772Q8×C43—41no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—21no—
776D4×C43—21no—
777D4×C43—41no—
778D4×C43—41no—
779D4×C43—41no—
780D4×C43—42no—
781D4×C43—42no—
782D4×C43—81no—
783D4×C43—81no—
784D4×C43—81no—
785D4×C43—81no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—42no—
799C2×C4×C43—42no—
800C2×C4×C43—81no—
801C2×C4×C43—81no—
802C2×C4×C43C22×D411yescharacteristic
803C2×C4×C43C22×D411yescharacteristic
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C2511yescharacteristic
806C22⋊D43—22no—
807C22⋊D43—22no—
808C22⋊D43—22no—
809C22⋊D43—22no—
810C22⋊D43—41no—
811C22⋊D43—41no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—81no—
819C22⋊D43—81no—
820C22⋊D43—81no—
821C22⋊D43—81no—
822C22⋊D43—81no—
823C2×Dic43—22no—
824C2×Dic43—21no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—21no—
830C2×Dic43—21no—
831C2×Dic43—41no—
832C2×Dic43—41no—
833C2×Dic43—42no—
834C2×Dic43—42no—
835C2×Dic43—42no—
836C2×Dic43—42no—
837C2×Dic43—81no—
838C2×Dic43C22×D411yescharacteristic
839C2×Dic43C22×D411yescharacteristic
840C2×Dic43C22×D411yescharacteristic
841C2×Dic43C22×D411yescharacteristic
842D172—22no—
843D172—22no—
844D172—21no—
845D172—21no—
846D172—41no—
847D172—42no—
848D172—81no—
849D172—81no—
850C4×D43—22no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—21no—
855C4×D43—21no—
856C4×D43—21no—
857C4×D43—22no—
858C4×D43—41no—
859C4×D43—41no—
860C4×D43—41no—
861C4×D43—41no—
862C4×D43—42no—
863C4×D43—42no—
864C4×D43—42no—
865C4×D43—42no—
866C4×D43—42no—
867C4×D43—42no—
868C4×D43—42no—
869C4×D43—81no—
870C4×D43—81no—
871C4×D43—81no—
872C4×D43—81no—
873C4×D43H(5,𝔽2)12yes—
874C4×D43H(5,𝔽2)12yes—
875Dic86—22no—
876Dic86—22no—
877Dic86—21no—
878Dic86—21no—
879Dic86—21no—
880Dic86—21no—
881Dic86—21no—
882Dic86—21no—
883Dic86—41no—
884Dic86—42no—
885Dic86—42no—
886Dic86—42no—
887Dic86—42no—
888C8×C43—21no—
889C8×C43—21no—
890C8×C43—21no—
891C8×C43—21no—
892C43⋊C8—21no—
893C43⋊C8—21no—
894C43⋊C8—21no—
895C43⋊C8—21no—
896#60764—431nomaximal, Sylow
897C22×C43—21no—
898C22×C43—21no—
899C22×C43—21no—
900C22×C43—21no—
901C22×C43—21no—
902C22×C43—21no—
903C22×C43—21no—
904C22×C43—21no—
905C22×C43—21no—
906C22×C43—41no—
907C22×C43—41no—
908C22×C43—41no—
909C22×C43—41no—
910C22×C43—41no—
911C22×C43—41no—
912C22×C43C23×D411yescharacteristic
913C2×D43—21no—
914C2×D43—21no—
915C2×D43—21no—
916C2×D43—21no—
917C2×D43—21no—
918C2×D43—21no—
919C2×D43—21no—
920C2×D43—21no—
921C2×D43—21no—
922C2×D43—21no—
923C2×D43—44no—
924C2×D43—41no—
925C2×D43—41no—
926C2×D43—41no—
927C2×D43—82no—
928C2×D43—82no—
929C2×D43—84no—
930C2×D43#53412yes—
931C2×D43#57812yes—
932C4×C43—21no—
933C4×C43—21no—
934C4×C43—21no—
935C4×C43—41no—
936C4×C43—41no—
937C4×C43—41no—
938C4×C43—41no—
939C4×C43—41no—
940C4×C43—41no—
941C4×C43C2×H(5,𝔽2)11yescharacteristic
942C4×C43C2×H(5,𝔽2)11yescharacteristic
943Dic43—21no—
944Dic43—21no—
945Dic43—21no—
946Dic43—41no—
947Dic43—41no—
948Dic43—41no—
949Dic43—41no—
950Dic43—41no—
951Dic43—41no—
952Dic43—41no—
953Dic43#53412yes—
954#3489—431no—
955C2×#537—431no—
956#3203—431no—
957#3203—431no—
958#3203—431no—
959#3203D4311yescharacteristic, complemented
960#3201—431no—
961#3201—431no—
962#3201—431no—
963#3201—431no—
964#3196—431no—
965#3196—431no—
966#3193—431no—
967#3193—431no—
968#3189—431no—
969#3189—431no—
970#3188—431no—
971#3188—431no—
972#3098—431no—
973#3098—431no—
974#3092—431no—
975C2×#484—431no—
976#3063—431no—
977#3063—431no—
978#3061—431no—
979#3061—431no—
980#3013—431no—
981#3013—431no—
982#3007—431no—
983#3002—431no—
984#2880—431no—
985C2×C43—41no—
986C2×C43—41no—
987C2×C43—41no—
988C2×C43—81no—
989C2×C43—81no—
990C2×C43C2×#53411yescharacteristic
991C2×C43C2×#57811yescharacteristic
992C2×C43#358511yescharacteristic
993D43—22no—
994D43—22no—
995D43—41no—
996D43—41no—
997D43—81no—
998C2×2−1+4—431no—
999C22×#41—431no—
1000C22×#41—431no—
1001C2×#137—431no—
1002C2×#137—431no—
1003C2×#135—431no—
1004C2×#135—431no—
1005C2×#131—431no—
1006C2×#131—431no—
1007D4×Q8—861no—
1008#548—861no—
1009#547—861no—
1010#547—861no—
1011#547—861no—
1012#546—861no—
1013#546—861no—
1014#546—861no—
1015#537—431no—
1016#537—431no—
1017#537—431no—
1018#537—431no—
1019#537—431no—
1020#537—431no—
1021#537—431no—
1022#537—431no—
1023#537—431no—
1024#537—861no—
1025#537—861no—
1026#537—861no—
1027#537—861no—
1028#537C2×D4311yescharacteristic
1029#537C2×D4311yescharacteristic, complemented
1030#536—431no—
1031#536—431no—
1032#536—431no—
1033#525—431no—
1034#525—431no—
1035#525—431no—
1036C2×C22⋊Q8—431no—
1037C2×C22⋊Q8—431no—
1038C2×C22⋊Q8—431no—
1039C2×C22⋊Q8—431no—
1040C2×C22⋊Q8—431no—
1041C2×C22⋊Q8—861no—
1042C2×#121—431no—
1043C2×#121—431no—
1044C2×#121—861no—
1045C2×#121—861no—
1046C2×#121—861no—
1047#520—431no—
1048C22×C4⋊C4—431no—
1049#485—431no—
1050#485—431no—
1051#485—431no—
1052#485—431no—
1053#484—431no—
1054#484—431no—
1055#484—431no—
1056#484—431no—
1057#484—431no—
1058#484—431no—
1059#484—431no—
1060#484—431no—
1061#484—431no—
1062#484—431no—
1063#484—431no—
1064#484—431no—
1065#484C2×D4311yescharacteristic, complemented
1066#484C2×D4311yescharacteristic, complemented
1067#483—431no—
1068#483—431no—
1069#482—431no—
1070#482—431no—
1071#482—431no—
1072#482—431no—
1073#481—431no—
1074#481—431no—
1075#480—431no—
1076#480—431no—
1077#480—431no—
1078#480—431no—
1079#480C2×D4311yescharacteristic, complemented
1080#480C2×D4311yescharacteristic, complemented
1081#470—431no—
1082#470—431no—
1083#470—431no—
1084#470—431no—
1085#468—431no—
1086#468—431no—
1087#468—431no—
1088#468—431no—
1089#468—431no—
1090#468—431no—
1091#468—431no—
1092#468—431no—
1093#468—431no—
1094#468—431no—
1095#468C2×D4311yescharacteristic, complemented
1096#468C2×D4311yescharacteristic, complemented
1097#467—431no—
1098#467—431no—
1099#467—431no—
1100#467—431no—
1101#467—431no—
1102#467—431no—
1103#467—431no—
1104#467C2×D4311yescharacteristic, complemented
1105#466—431no—
1106#466—431no—
1107#466—431no—
1108#466C2×D4311yescharacteristic, complemented
1109#465—431no—
1110#465—431no—
1111#465—431no—
1112#465—431no—
1113#452—431no—
1114#452—431no—
1115#452—431no—
1116#452—431no—
1117#452—431no—
1118#452—431no—
1119#452—431no—
1120#452—431no—
1121#452C2×D4311yescharacteristic, complemented
1122#452C2×D4311yescharacteristic, complemented
1123#451—431no—
1124#451—431no—
1125#451—431no—
1126#451—431no—
1127#451—431no—
1128#451—431no—
1129#451—431no—
1130#450—431no—
1131#450—431no—
1132#450—431no—
1133#449—431no—
1134#449—431no—
1135#449—431no—
1136#449—431no—
1137#449C2×D4311yescharacteristic, complemented
1138#449C2×D4311yescharacteristic, complemented
1139#448—431no—
1140#448—431no—
1141#448—431no—
1142#448—431no—
1143#448—431no—
1144#447—431no—
1145#428—431no—
1146#428—431no—
1147C2×#107—431no—
1148C2×#107—431no—
1149#417—431no—
1150#417—431no—
1151#417—431no—
1152#417—431no—
1153#416—431no—
1154#416—431no—
1155C2×#103—431no—
1156C2×#103—431no—
1157#408—431no—
1158#408—431no—
1159#408—431no—
1160#408—431no—
1161#408—431no—
1162#408C2×D4311yescharacteristic, complemented
1163#407—431no—
1164#407—431no—
1165#407—431no—
1166C2×C22⋊C8—431no—
1167C2×C22⋊C8—431no—
1168C2×C22⋊C8—431no—
1169C43#6076411yescharacteristic, complemented, Sylow
11702−1+4—1722no—
11712−1+4—1722no—
1172C2×#41—431no—
1173C2×#41—431no—
1174C2×#41—431no—
1175C2×#41—431no—
1176C2×#41—431no—
1177C2×#41—431no—
1178C2×#41—431no—
1179C2×#41—431no—
1180C2×#41—431no—
1181C2×#41—431no—
1182C2×#41—431no—
1183C2×#41—431no—
1184C2×#41—861no—
1185C2×#41—861no—
1186C2×#41—861no—
1187C2×#41—861no—
1188C2×#41—861no—
1189C2×#41—1722no—
1190C2×#41—1722no—
1191C2×#41—1722no—
1192C2×#41—1722no—
1193C2×#41C22×D4311yescharacteristic
1194C2×#41C22×D4311yescharacteristic
1195C2×#41C22×D4311yescharacteristic
1196C22×Q8—431no—
1197C22×Q8—431no—
1198C22×Q8—431no—
1199C22×Q8—431no—
1200C22×Q8—431no—
1201C22×Q8—861no—
1202C22×D4—431no—
1203C22×D4—431no—
1204C22×D4—431no—
1205C22×D4—431no—
1206C22×D4—861no—
1207C22×D4—861no—
1208C22×D4—861no—
1209C23×C4—431no—
1210C23×C4—431no—
1211C23×C4—431no—
1212C23×C4—861no—
1213C23×C4—861no—
1214#137—1722no—
1215#137—1722no—
1216#135—1722no—
1217#135—1722no—
1218C2×Q16—431no—
1219C2×Q16—431no—
1220C2×Q16—431no—
1221C2×Q16—431no—
1222C2×Q16—431no—
1223C2×Q16C22×D4311yescharacteristic
1224C2×SD16—431no—
1225C2×SD16—431no—
1226C2×SD16—431no—
1227C2×SD16—431no—
1228C2×SD16—431no—
1229C2×SD16—431no—
1230C2×SD16C22×D4311yescharacteristic
1231C2×SD16C22×D4311yescharacteristic
1232C2×D8—431no—
1233C2×D8C22×D4311yescharacteristic
1234#131—1722no—
1235#131—1722no—
1236C2×M16—431no—
1237C2×M16—431no—
1238C2×M16—431no—
1239C2×M16—431no—
1240C2×M16—431no—
1241C2×M16C22×D4311yescharacteristic
1242C22×C8—431no—
1243C22×C8—431no—
1244C22×C8—431no—
1245C22×C8—431no—
1246C22×C8—431no—
1247C22×C8C22×D4311yescharacteristic
1248C4⋊Q8—861no—
1249C4⋊Q8—861no—
1250C4⋊Q8—861no—
1251#124—861no—
1252#124—861no—
1253#124—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—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
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—861no—
1282C22⋊Q8—861no—
1283C22⋊Q8—861no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1301C22⋊Q8C22×D4311yescharacteristic
1302C22⋊Q8C22×D4311yescharacteristic
1303C22⋊Q8C22×D4311yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—431no—
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—431no—
1315#121—431no—
1316#121—431no—
1317#121—431no—
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#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121—861no—
1337#121—861no—
1338#121—861no—
1339#121—861no—
1340#121—861no—
1341#121—861no—
1342#121—861no—
1343#121—861no—
1344#121—861no—
1345#121—861no—
1346#121—861no—
1347#121—861no—
1348#121—861no—
1349#121C22×D4311yescharacteristic
1350#121C22×D4311yescharacteristic
1351#121C22×D4311yescharacteristic
1352#121C22×D4311yescharacteristic
1353#120—861no—
1354#120—861no—
1355#120—861no—
1356C4×Q8—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4—861no—
1364C4×D4—861no—
1365C4×D4—861no—
1366#117—431no—
1367#117—431no—
1368#117—431no—
1369C2×C4⋊C4—431no—
1370C2×C4⋊C4—431no—
1371C2×C4⋊C4—431no—
1372C2×C4⋊C4—431no—
1373C2×C4⋊C4—431no—
1374C2×C4⋊C4—431no—
1375C2×C4⋊C4—431no—
1376C2×C4⋊C4—861no—
1377C2×C4⋊C4—861no—
1378C2×C4⋊C4—861no—
1379C2×C4⋊C4—861no—
1380C2×C4⋊C4—861no—
1381C2×C4⋊C4—861no—
1382C2×C4⋊C4—861no—
1383C2×C4⋊C4—861no—
1384C2×C4⋊C4C22×D4311yescharacteristic
1385C2×C4⋊C4C22×D4311yescharacteristic
1386C2×C22⋊C4—861no—
1387C2×C22⋊C4—861no—
1388C2×C22⋊C4—861no—
1389C2×C22⋊C4—861no—
1390C2×C22⋊C4—861no—
1391C2×C22⋊C4—861no—
1392C2×C22⋊C4—861no—
1393#107—431no—
1394#107—431no—
1395#107—431no—
1396#107—431no—
1397#107—431no—
1398#107—431no—
1399#107—431no—
1400#107—431no—
1401#107C22×D4311yescharacteristic
1402#107C22×D4311yescharacteristic
1403#107C22×D4311yescharacteristic
1404#107C22×D4311yescharacteristic
1405#106—431no—
1406#106—431no—
1407#106—431no—
1408#106—431no—
1409#103—431no—
1410#103—431no—
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103—431no—
1415#103—431no—
1416#103—431no—
1417#103—431no—
1418#103—431no—
1419#103—431no—
1420#103—431no—
1421#103—431no—
1422#103—431no—
1423#103—431no—
1424#103—431no—
1425#103C22×D4311yescharacteristic
1426#103C22×D4311yescharacteristic
1427#103C22×D4311yescharacteristic
1428#103C22×D4311yescharacteristic
1429#102—431no—
1430#102—431no—
1431#102—431no—
1432#102—431no—
1433#102—431no—
1434#102—431no—
1435#102—431no—
1436#102—431no—
1437#102C22×D4311yescharacteristic
1438#102C22×D4311yescharacteristic
1439#102C22×D4311yescharacteristic
1440#102C22×D4311yescharacteristic
1441C22⋊C8—431no—
1442C22⋊C8—431no—
1443C22⋊C8—431no—
1444C22⋊C8—431no—
1445C22⋊C8—431no—
1446C22⋊C8—431no—
1447C22⋊C8—431no—
1448C22⋊C8—431no—
1449C22⋊C8—431no—
1450C22⋊C8—431no—
1451C22⋊C8—431no—
1452C22⋊C8—431no—
1453C22⋊C8C22×D4311yescharacteristic
1454C22⋊C8C22×D4311yescharacteristic
1455C22⋊C8C22×D4311yescharacteristic
1456C22⋊C8C22×D4311yescharacteristic
1457C24—431no—
1458C24—431no—
1459C24—431no—
1460C24—861no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—862no—
1468#41—862no—
1469#41—862no—
1470#41—862no—
1471#41—862no—
1472#41—862no—
1473#41—862no—
1474#41—862no—
1475#41—862no—
1476#41—862no—
1477#41—1721no—
1478#41—1721no—
1479#41—1721no—
1480#41—1721no—
1481#41—1724no—
1482#41—1724no—
1483#41—1721no—
1484#41—1721no—
1485#41—1722no—
1486#41—1722no—
1487#41—1722no—
1488#41—1724no—
1489#41—1722no—
1490#41—1724no—
1491#41—1724no—
1492C2×Q8—431no—
1493C2×Q8—431no—
1494C2×Q8—431no—
1495C2×Q8—431no—
1496C2×Q8—431no—
1497C2×Q8—431no—
1498C2×Q8—861no—
1499C2×Q8—861no—
1500C2×Q8—861no—
1501C2×Q8—862no—
1502C2×Q8—862no—
1503C2×Q8—861no—
1504C2×Q8—1721no—
1505C2×Q8—1721no—
1506C2×Q8—1724no—
1507C2×Q8—1721no—
1508C2×Q8—1721no—
1509C2×Q8—1721no—
1510C2×Q8—1721no—
1511C2×Q8—1722no—
1512C2×Q8D4×D4311yescharacteristic
1513C2×Q8C23×D4311yescharacteristic
1514C2×Q8C23×D4311yescharacteristic
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—431no—
1522C2×D4—431no—
1523C2×D4—431no—
1524C2×D4—431no—
1525C2×D4—431no—
1526C2×D4—431no—
1527C2×D4—431no—
1528C2×D4—431no—
1529C2×D4—431no—
1530C2×D4—431no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4—861no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—861no—
1541C2×D4—861no—
1542C2×D4—861no—
1543C2×D4—861no—
1544C2×D4—861no—
1545C2×D4—3442no—
1546C2×D4—3442no—
1547C2×D4—1721no—
1548C2×D4—1721no—
1549C2×D4—1722no—
1550C2×D4—1722no—
1551C2×D4—1722no—
1552C2×D4—1724no—
1553C2×D4D4×D4311yescharacteristic
1554C2×D4D4×D4311yescharacteristic
1555C2×D4D4×D4311yescharacteristic
1556C2×D4C23×D4311yescharacteristic
1557C2×D4C23×D4311yescharacteristic
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—431no—
1563C22×C4—431no—
1564C22×C4—431no—
1565C22×C4—431no—
1566C22×C4—431no—
1567C22×C4—431no—
1568C22×C4—431no—
1569C22×C4—431no—
1570C22×C4—431no—
1571C22×C4—431no—
1572C22×C4—431no—
1573C22×C4—431no—
1574C22×C4—431no—
1575C22×C4—862no—
1576C22×C4—862no—
1577C22×C4—861no—
1578C22×C4—861no—
1579C22×C4—861no—
1580C22×C4—861no—
1581C22×C4—861no—
1582C22×C4—861no—
1583C22×C4—861no—
1584C22×C4—861no—
1585C22×C4—861no—
1586C22×C4—861no—
1587C22×C4—861no—
1588C22×C4—861no—
1589C22×C4—861no—
1590C22×C4—861no—
1591C22×C4—861no—
1592C22×C4—861no—
1593C22×C4—3442no—
1594C22×C4—1721no—
1595C22×C4—1721no—
1596C22×C4—1721no—
1597C22×C4—1721no—
1598C22×C4—1724no—
1599C22×C4C23×D4311yescharacteristic
1600C22×C4C23×D4311yescharacteristic
1601C22×C4C23×D4311yescharacteristic
1602Q16—41no—
1603Q16—1721no—
1604Q16—1721no—
1605Q16—1721no—
1606Q16—1721no—
1607Q16—1721no—
1608SD16—41no—
1609SD16—41no—
1610SD16—1721no—
1611SD16—1721no—
1612SD16—1721no—
1613SD16—1721no—
1614SD16—1721no—
1615SD16—1721no—
1616D8—41no—
1617D8—1721no—
1618M16—41no—
1619M16—862no—
1620M16—862no—
1621M16—1721no—
1622M16—1721no—
1623M16—1721no—
1624C2×C8—41no—
1625C2×C8—431no—
1626C2×C8—431no—
1627C2×C8—431no—
1628C2×C8—431no—
1629C2×C8—862no—
1630C2×C8—862no—
1631C2×C8—1721no—
1632C2×C8—1721no—
1633C2×C8—1721no—
1634C2×C8C23×D4311yescharacteristic
1635C2×C8C23×D4311yescharacteristic
1636C2×C8C23×D4311yescharacteristic
1637C2×C8C23×D4311yescharacteristic
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—431no—
1645C4⋊C4—431no—
1646C4⋊C4—431no—
1647C4⋊C4—431no—
1648C4⋊C4—861no—
1649C4⋊C4—861no—
1650C4⋊C4—861no—
1651C4⋊C4—861no—
1652C4⋊C4—861no—
1653C4⋊C4—861no—
1654C4⋊C4—861no—
1655C4⋊C4—861no—
1656C4⋊C4—861no—
1657C4⋊C4—861no—
1658C4⋊C4—861no—
1659C4⋊C4—861no—
1660C4⋊C4—861no—
1661C4⋊C4—861no—
1662C4⋊C4—861no—
1663C4⋊C4—861no—
1664C4⋊C4—861no—
1665C4⋊C4—861no—
1666C4⋊C4—861no—
1667C4⋊C4—861no—
1668C4⋊C4—861no—
1669C4⋊C4—861no—
1670C4⋊C4—861no—
1671C4⋊C4C23×D4311yescharacteristic
1672C4⋊C4C23×D4311yescharacteristic
1673C4⋊C4C23×D4311yescharacteristic
1674C4⋊C4C23×D4311yescharacteristic
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4—861no—
1689C22⋊C4—861no—
1690C22⋊C4—861no—
1691C22⋊C4—861no—
1692C22⋊C4—861no—
1693C22⋊C4—861no—
1694C22⋊C4—861no—
1695C22⋊C4—861no—
1696C22⋊C4—861no—
1697C22⋊C4—861no—
1698C22⋊C4—861no—
1699C22⋊C4—861no—
1700C22⋊C4—861no—
1701C22⋊C4—861no—
1702C22⋊C4—861no—
1703C22⋊C4—861no—
1704C22⋊C4—861no—
1705C22⋊C4—861no—
1706C22⋊C4—861no—
1707C22⋊C4—861no—
1708C22⋊C4—861no—
1709C22⋊C4—861no—
1710C42—861no—
1711C42—861no—
1712C42—861no—
1713C23—21no—
1714C23—21no—
1715C23—431no—
1716C23—431no—
1717C23—431no—
1718C23—431no—
1719C23—862no—
1720C23—862no—
1721C23—862no—
1722C23—862no—
1723C23—861no—
1724C23—1721no—
1725C23—1721no—
1726C23—1721no—
1727C23—1721no—
1728C23—1721no—
1729C23—1722no—
1730C23—1722no—
1731C23—1722no—
1732C23C2×D4×D4311yescharacteristic
1733C23C2×D4×D4311yescharacteristic
1734C23C2×D4×D4311yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—21no—
1738Q8—21no—
1739Q8—41no—
1740Q8—862no—
1741Q8—862no—
1742Q8—861no—
1743Q8—861no—
1744Q8—861no—
1745Q8—861no—
1746Q8—861no—
1747Q8—861no—
1748Q8—1721no—
1749Q8—1722no—
1750Q8—1722no—
1751Q8—1722no—
1752Q8—1722no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—41no—
1758D4—41no—
1759D4—41no—
1760D4—42no—
1761D4—42no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—862no—
1767D4—862no—
1768D4—862no—
1769D4—862no—
1770D4—862no—
1771D4—862no—
1772D4—861no—
1773D4—861no—
1774D4—3441no—
1775D4—3441no—
1776D4—3441no—
1777D4—3441no—
1778D4—3441no—
1779D4—3441no—
1780D4—3441no—
1781D4—1721no—
1782D4—1722no—
1783D4—1721no—
1784D4—1721no—
1785D4—1722no—
1786D4—1722no—
1787D4—1722no—
1788D4—1722no—
1789D4—1722no—
1790D4—1722no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—431no—
1808C2×C4—432no—
1809C2×C4—432no—
1810C2×C4—431no—
1811C2×C4—431no—
1812C2×C4—431no—
1813C2×C4—862no—
1814C2×C4—862no—
1815C2×C4—862no—
1816C2×C4—861no—
1817C2×C4—861no—
1818C2×C4—861no—
1819C2×C4—861no—
1820C2×C4—861no—
1821C2×C4—861no—
1822C2×C4—861no—
1823C2×C4—861no—
1824C2×C4—861no—
1825C2×C4—861no—
1826C2×C4—861no—
1827C2×C4—861no—
1828C2×C4—861no—
1829C2×C4—3441no—
1830C2×C4—3441no—
1831C2×C4—3441no—
1832C2×C4—3441no—
1833C2×C4—3441no—
1834C2×C4—1721no—
1835C2×C4—1721no—
1836C2×C4—1721no—
1837C2×C4—1721no—
1838C2×C4—1722no—
1839C2×C4—1722no—
1840C2×C4—1722no—
1841C2×C4—1722no—
1842C2×C4—1722no—
1843C2×C4—1722no—
1844C2×C4—1722no—
1845C2×C4—1722no—
1846C2×C4—1722no—
1847C2×C4—1721no—
1848C2×C4—1721no—
1849C2×C4—1722no—
1850C2×C4—1722no—
1851C2×C4C2×D4×D4311yescharacteristic
1852C2×C4C2×D4×D4311yescharacteristic
1853C2×C4C2×D4×D4311yescharacteristic
1854C2×C4C24×D4311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—861no—
1860C8—861no—
1861C8—861no—
1862C8—861no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—432no—
1879C22—432no—
1880C22—861no—
1881C22—861no—
1882C22—861no—
1883C22—861no—
1884C22—861no—
1885C22—861no—
1886C22—861no—
1887C22—861no—
1888C22—861no—
1889C22—861no—
1890C22—3442no—
1891C22—3442no—
1892C22—3444no—
1893C22—1724no—
1894C22—1721no—
1895C22—1721no—
1896C22—1721no—
1897C22C22×D4×D4311yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—432no—
1908C4—861no—
1909C4—861no—
1910C4—861no—
1911C4—1721no—
1912C4—1721no—
1913C4—1721no—
1914C4—1721no—
1915C4—1721no—
1916C4—1721no—
1917C4—1721no—
1918C4H(5,𝔽2)×D4311yescharacteristic
1919C4H(5,𝔽2)×D4311yescharacteristic
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—81no—
1924C2—81no—
1925C2—862no—
1926C2—862no—
1927C2—3441no—
1928C2—1721no—
1929C2—1721no—
1930C2#534×D4311yescharacteristic
1931C2#578×D4311yescharacteristic
1932C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3203C2
socleC22×C43C23×D4
hypercenter#3203D43
hypocenterC43#60764
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

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

NH ≅ G/Ntype
1. #19148270C2semidirect
2. #537×D43C2semidirect
3. #19145495C2semidirect
4. #19145494C2semidirect
5. #19145492C2semidirect
6. #19145482C2semidirect
7. #19145479C2semidirect
8. #19145474C2semidirect
9. #19145471C2semidirect
10. #19145423C2semidirect
11. #19145420C2semidirect
12. #19145403C2semidirect
13. #19145396C2semidirect
14. #19145369C2semidirect
15. #19145366C2semidirect
16. #19145358C2semidirect
17. #19145355C2semidirect
18. #19144574C2semidirect
19. #19144568C2semidirect
20. #19144514C2semidirect
21. #484×D43C2semidirect
22. #19144285C2semidirect
23. #19144281C2semidirect
24. #19144263C2semidirect
25. #19144260C2semidirect
26. #19143914C2semidirect
27. #19143908C2semidirect
28. #19143852C2semidirect
29. #19143810C2semidirect
30. #19143043C2semidirect
31. C43×#3203C2semidirect
32. C2×#13063372C22semidirect
35. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
37. C2×#13063346C22semidirect
38. C2×#13063344C22semidirect
39. C2×#13063333C22semidirect
40. C2×#13063331C22semidirect
56. #14583478C22semidirect
57. #14583478C22semidirect
62. #14583472C22semidirect
63. #14583472C22semidirect
64. #14583470C22semidirect
79. #14583380C22semidirect
81. #14583242C22semidirect
82. #14583241C22semidirect
83. #14583238C22semidirect
84. #14583237C22semidirect
89. #14583236C22semidirect
90. #14583235C22semidirect
91. #14583234C22semidirect
92. #14583234C22semidirect
95. #14583233C22semidirect
96. #14583232C22semidirect
97. #14583230C22semidirect
98. #14583229C22semidirect
99. #14583226C22semidirect
100. #14583224C22semidirect
101. #14583222C22semidirect
102. #14583220C22semidirect
105. #14583214C22semidirect
106. #14583212C22semidirect
107. #14583211C22semidirect
108. #14583210C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583154C22semidirect
113. #14583147C22semidirect
114. #14583146C22semidirect
115. #14583146C22semidirect
116. #14583145C22semidirect
117. #14583144C22semidirect
118. #14583144C22semidirect
119. #14583144C22semidirect
120. #14583143C22semidirect
121. #14583143C22semidirect
122. #14583142C22semidirect
123. #14583141C22semidirect
124. #14583141C22semidirect
125. #14583140C22semidirect
126. #14583139C22semidirect
127. #14583139C22semidirect
128. #14583138C22semidirect
129. #14583138C22semidirect
130. #14583134C22semidirect
131. #14583133C22semidirect
132. #14583132C22semidirect
133. #14583131C22semidirect
134. #14583128C22semidirect
135. #14583126C22semidirect
136. #14583125C22semidirect
137. #14583063C22semidirect
138. #14583063C22semidirect
139. #14583062C22semidirect
140. #14583061C22semidirect
141. #14583061C22semidirect
142. #14583061C22semidirect
143. #14583059C22semidirect
144. #14583058C22semidirect
145. #14583057C22semidirect
148. #14583056C22semidirect
149. #14583054C22semidirect
151. #14583053C22semidirect
155. #14583045C22semidirect
156. #14583044C22semidirect
157. #14583042C22semidirect
158. #14583041C22semidirect
159. #14583040C22semidirect
160. #14583039C22semidirect
161. #14583037C22semidirect
163. #14583036C22semidirect
165. #14582940C22semidirect
166. #14582940C22semidirect
167. #107×D43C22semidirect
168. #107×D43C22semidirect
169. #14582899C22semidirect
170. #14582897C22semidirect
171. #14582897C22semidirect
172. #14582897C22semidirect
173. #14582894C22semidirect
174. #14582892C22semidirect
175. #103×D43C22semidirect
176. #103×D43C22semidirect
177. #14582866C22semidirect
178. #14582864C22semidirect
179. #14582864C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
189. C43×#537C22semidirect
190. C43×#484C22semidirect
191. C43×#484C22semidirect
192. C43×#480C22semidirect
193. C43×#480C22semidirect
194. C43×#468C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
197. C43×#466C22semidirect
198. C43×#452C22semidirect
199. C43×#452C22semidirect
200. C43×#449C22semidirect
201. C43×#449C22semidirect
202. C43×#408C22semidirect
959. #3203D43semidirect
1029. #537C2×D43semidirect
1065. #484C2×D43semidirect
1066. #484C2×D43semidirect
1079. #480C2×D43semidirect
1080. #480C2×D43semidirect
1095. #468C2×D43semidirect
1096. #468C2×D43semidirect
1104. #467C2×D43semidirect
1108. #466C2×D43semidirect
1121. #452C2×D43semidirect
1122. #452C2×D43semidirect
1137. #449C2×D43semidirect
1138. #449C2×D43semidirect
1162. #408C2×D43semidirect
1169. C43#60764semidirect

Maximal subgroups

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

subgroupindex
#191482702
#537×D432
#191454952
#191454942
#191454922
#191454822
#191454792
#191454742
#191454712
#191454232
#191454202
#191454032
#191453962
#191453692
#191453662
#191453582
#191453552
#191445742
#191445682
#191445142
#484×D432
#191442852
#191442812
#191442632
#191442602
#191439142
#191439082
#191438522
#191438102
#191430432
C43×#32032
#6076443