Finite Group Databasebeta

← #25982326

Subgroups — #25982326

Order 11008.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148884C211yesmaximal, characteristic, complemented
2#19148254C211yesmaximal, characteristic, complemented
3#19146930C211yesmaximal, characteristic, complemented
4#19146853C211yesmaximal, characteristic, complemented
5#19146726C211yesmaximal, characteristic, complemented
6#19146703C211yesmaximal, characteristic, complemented
7#19146658C211yesmaximal, characteristic, complemented
8#19146606C211yesmaximal, characteristic, complemented
9#19146531C211yesmaximal, characteristic, complemented
10#19146487C211yesmaximal, characteristic, complemented
11#19146331C211yesmaximal, characteristic, complemented
12#19146326C211yesmaximal, characteristic, complemented
13#19146262C211yesmaximal, characteristic, complemented
14#19146247C211yesmaximal, characteristic, complemented
15#19146186C211yesmaximal, characteristic, complemented
16#19146186C211yesmaximal, characteristic, complemented
17#19146167C211yesmaximal, characteristic, complemented
18#19146152C211yesmaximal, characteristic, complemented
19#19145683C211yesmaximal, characteristic, complemented
20#19145669C211yesmaximal, characteristic, complemented
21#19145466C211yesmaximal, characteristic, complemented
22#19145445C211yesmaximal, characteristic, complemented
23#19145435C211yesmaximal, characteristic, complemented
24#19145380C211yesmaximal, characteristic, complemented
25#19144895C211yesmaximal, characteristic, complemented
26#19143905C211yesmaximal, characteristic, complemented
27#19143885C211yesmaximal, characteristic, complemented
28#19143854C211yesmaximal, characteristic, complemented
29#19143812C211yesmaximal, characteristic, complemented
30#19143641C211yesmaximal, characteristic, complemented
31C43×#3121C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C22×#10621902C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic
36C2×#13063357C2211yescharacteristic, complemented
37C2×#13063354C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic
39C2×#13063346C2211yescharacteristic
40C2×#13063346C2211yescharacteristic, complemented
41C2×Q16×D43C2211yescharacteristic, complemented
42#14583651—21no—
43#14583645—21no—
44#14583623C2211yescharacteristic, complemented
45#14583610C2211yescharacteristic, complemented
46#14583607—21no—
47#14583600—21no—
48#14583599C2211yescharacteristic, complemented
49#14583590C2211yescharacteristic, complemented
50#14583571—21no—
51#14583571—21no—
52#14583571C2211yescharacteristic
53#14583571C2211yescharacteristic
54#14583571C2211yescharacteristic
55#14583571C2211yescharacteristic
56Q8×D172C2211yescharacteristic, complemented
57#14583561—21no—
58#14583561—21no—
59#14583561C2211yescharacteristic
60#14583561C2211yescharacteristic
61#14583561C2211yescharacteristic
62#14583561C2211yescharacteristic
63#14583557C2211yescharacteristic, complemented
64#14583557C2211yescharacteristic, complemented
65#14583553C2211yescharacteristic, complemented
66#14583518—21no—
67#14583511C2211yescharacteristic
68#14583493—21no—
69#14583485—21no—
70#14583483—21no—
71#14583478C2211yescharacteristic
72#14583472C2211yescharacteristic
73#14583468—21no—
74#14583468—21no—
75#14583468C2211yescharacteristic
76#14583468C2211yescharacteristic
77#14583411—21no—
78#14583411—21no—
79#14583411C2211yescharacteristic
80#14583411C2211yescharacteristic
81#14583409C2211yescharacteristic
82C22⋊Q8×D43C2211yescharacteristic
83#14583293C2211yescharacteristic, complemented
84#14583289C2211yescharacteristic, complemented
85#14583281C2211yescharacteristic, complemented
86#14583272C2211yescharacteristic, complemented
87#14583264C2211yescharacteristic, complemented
88#14583261C2211yescharacteristic, complemented
89#14583254C2211yescharacteristic, complemented
90#14583247C2211yescharacteristic, complemented
91#14583242C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic
93#14583240C2211yescharacteristic
94#14583231C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583214C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583158C2211yescharacteristic, complemented
104#14583151C2211yescharacteristic, complemented
105#14583151C2211yescharacteristic, complemented
106#14583148C2211yescharacteristic, complemented
107#14583146C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583141C2211yescharacteristic, complemented
112#14583139C2211yescharacteristic, complemented
113#14583134C2211yescharacteristic, complemented
114#14583131C2211yescharacteristic, complemented
115#14583131C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583129C2211yescharacteristic, complemented
118#14583129C2211yescharacteristic, complemented
119#14583122C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583121C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583109C2211yescharacteristic, complemented
124#14583109C2211yescharacteristic, complemented
125#14583100C2211yescharacteristic, complemented
126#14583100C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic, complemented
128#14583094C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583064C2211yescharacteristic
132#14583064C2211yescharacteristic
133#14583064C2211yescharacteristic, complemented
134#14583064C2211yescharacteristic, complemented
135#14583063C2211yescharacteristic
136#14583063C2211yescharacteristic
137#14583062C2211yescharacteristic, complemented
138#14583060C2211yescharacteristic
139#14583060C2211yescharacteristic
140#14583060C2211yescharacteristic, complemented
141#14583059C2211yescharacteristic
142#14583056C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583056C2211yescharacteristic, complemented
145#14583055C2211yescharacteristic
146#14583055C2211yescharacteristic
147#14583053C2211yescharacteristic, complemented
148#14583052C2211yescharacteristic
149#14583052C2211yescharacteristic
150#14583049C2211yescharacteristic
151#14583045C2211yescharacteristic, complemented
152#14583045C2211yescharacteristic, complemented
153#14583045C2211yescharacteristic, complemented
154#14583043C2211yescharacteristic
155#14583043C2211yescharacteristic
156#14583043C2211yescharacteristic, complemented
157#14583042C2211yescharacteristic
158#14583039C2211yescharacteristic, complemented
159#14583039C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic, complemented
161#14583036C2211yescharacteristic, complemented
162#14583032C2211yescharacteristic
163#14583004C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165C4×#10621885C2211yescharacteristic, complemented
166C4×#10621885C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173C8×D172C2211yescharacteristic, complemented
174#14582964C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic
176#14582906C2211yescharacteristic, complemented
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187C22⋊C8×D43C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#519C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#451C2211yescharacteristic
197C43×#448C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902—21no—
207C2×#10621902—21no—
208C2×#10621902—42no—
209C2×#10621902—42no—
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621902C2311yescharacteristic
214C2×#10621902C2311yescharacteristic
215C2×#10621902C2311yescharacteristic
216C2×#10621898—21no—
217C2×#10621898—21no—
218C2×#10621898C2311yescharacteristic
219C2×#10621898C2311yescharacteristic
220C2×#10621900C2311yescharacteristic
221C2×#10621900C2311yescharacteristic
222C2×Q8×D43—21no—
223C2×Q8×D43C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C22×D172—21no—
228C22×D172C2311yescharacteristic
229C22×C4×D43—21no—
230C22×C4×D43C2311yescharacteristic
231#13063357—42no—
232#13063357—42no—
233#13063357—42no—
234#13063354—42no—
235#13063346—42no—
236#13063346—42no—
237#13063346—42no—
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245Q16×D43—42no—
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621872C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264C2×C8×D43C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267#13063325—21no—
268#13063325C2311yescharacteristic
269#13063324—21no—
270#13063322—21no—
271#13063322—21no—
272#13063322—21no—
273#13063322—21no—
274#13063322—21no—
275#13063322C2311yescharacteristic
276#13063322C2311yescharacteristic
277#13063320—21no—
278#13063320—21no—
279#13063319—21no—
280#13063318—21no—
281#13063318—21no—
282#13063318—21no—
283#13063317C2311yescharacteristic
284#13063316—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063314—21no—
289#13063313—21no—
290#13063313—21no—
291#13063313—21no—
292#13063313—21no—
293#13063313—21no—
294#13063313C2311yescharacteristic
295#13063313C2311yescharacteristic
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063310—21no—
300#13063310—21no—
301#13063309—21no—
302#13063309—21no—
303#13063309—21no—
304#13063309D411yescharacteristic
305#13063309D411yescharacteristic
306#13063308—21no—
307#13063307—21no—
308#13063307—21no—
309#13063305—21no—
310#13063305—21no—
311#13063305—21no—
312#13063305—21no—
313#13063305—21no—
314#13063305—21no—
315#13063305D411yescharacteristic
316#13063305D411yescharacteristic
317#13063305C2311yescharacteristic
318#13063305C2311yescharacteristic
319#13063305C2311yescharacteristic
320#13063305C2311yescharacteristic
321#13063305C2311yescharacteristic
322#13063305C2311yescharacteristic
323#13063304C2311yescharacteristic
324#13063304C2311yescharacteristic
325#13063303—21no—
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063301—21no—
331#13063301—21no—
332#13063301C2311yescharacteristic
333#13063301C2311yescharacteristic
334#13063300—21no—
335#13063300—21no—
336#13063300—21no—
337#13063300—21no—
338#13063300—21no—
339#13063300—21no—
340#13063300—21no—
341#13063300—21no—
342#13063300—21no—
343#13063300—21no—
344#13063300—21no—
345#13063300—21no—
346#13063300—21no—
347#13063300—21no—
348#13063300D411yescharacteristic
349#13063300D411yescharacteristic
350#13063300C2311yescharacteristic
351#13063300C2311yescharacteristic
352#13063300C2311yescharacteristic
353#13063300C2311yescharacteristic
354#13063300C2311yescharacteristic
355#13063300C2311yescharacteristic
356#13063299—21no—
357#13063298—21no—
358#13063298—21no—
359#13063298—21no—
360#13063298—21no—
361#13063297—21no—
362#13063296—21no—
363#13063296C2311yescharacteristic
364#13063296C2311yescharacteristic
365#13063295—21no—
366#13063295—21no—
367#13063295—21no—
368#13063295—21no—
369#13063295—21no—
370#13063295D411yescharacteristic
371#13063295D411yescharacteristic
372#13063293—21no—
373Q8×Dic43—21no—
374C4×Dic86C2311yescharacteristic
375C4×Dic86C2311yescharacteristic
376C4×D172—21no—
377C4×D172—21no—
378C4×D172—21no—
379C4×D172—21no—
380C4×D172—21no—
381C4×D172—21no—
382C4×D172—21no—
383C4×D172—21no—
384C4×D172—21no—
385C4×D172—21no—
386C4×D172—21no—
387C4×D172C2311yescharacteristic
388C4×D172C2311yescharacteristic
389C4×D172C2311yescharacteristic
390C4×D172C2311yescharacteristic
391D4×Dic43—21no—
392#13063287—21no—
393C4×C22⋊D43—21no—
394(C22⋊D43)⋊C4—21no—
395(C22⋊D43)⋊C4—21no—
396(C22⋊D43)⋊C4—21no—
397#13063283C2311yescharacteristic
398#13063283C2311yescharacteristic
399#13063282—21no—
400C2×C4⋊Dic43—21no—
401C4⋊C4×D43—21no—
402C4⋊C4×D43C2311yescharacteristic
403C4⋊C4×D43C2311yescharacteristic
404C22⋊C4×D43—21no—
405#13063258C2311yescharacteristic
406#13063258C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
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#13063236C2311yescharacteristic
446C4×C43⋊C8C2311yescharacteristic
447C22×Q8×C43C2311yescharacteristic
448C2×Q16×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453#126×C43—21no—
454#124×C43—21no—
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43—21no—
461C4×Q8×C43—21no—
462C4×Q8×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43—21no—
469#117×C43—21no—
470#117×C43C2311yescharacteristic
471#117×C43C2311yescharacteristic
472#107×C43C2311yescharacteristic
473#107×C43C2311yescharacteristic
474#106×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492C2×Q8×C43—22no—
493C2×Q8×C43—22no—
494C2×Q8×C43—21no—
495C2×Q8×C43—21no—
496C2×Q8×C43C2411yescharacteristic
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43C2411yescharacteristic
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43C2×D411yescharacteristic
514#10621902—22no—
515#10621902—22no—
516#10621902—22no—
517#10621902—22no—
518#10621902—22no—
519#10621902—22no—
520#10621902—41no—
521#10621902—41no—
522#10621902—41no—
523#10621902—41no—
524#10621902—41no—
525#10621902—41no—
526#10621902—44no—
527#10621902—44no—
528#10621902—44no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—41no—
532Q8×D43—41no—
533Q8×D43—41no—
534Q8×D43—41no—
535Q8×D43—41no—
536Q8×D43—41no—
537Q8×D43—44no—
538#10621900—41no—
539#10621900—41no—
540#10621900—41no—
541#10621900—41no—
542#10621898—41no—
543#10621898—41no—
544#10621898—41no—
545#10621898—41no—
546#10621898—44no—
547#10621898—44no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172—21no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172—41no—
566C2×D172—41no—
567C2×D172—44no—
568C2×D172C2×D411yescharacteristic
569C2×D172C2×D411yescharacteristic
570C2×D172C2×D411yescharacteristic
571C2×D172C2×D411yescharacteristic
572C2×D172C2×D411yescharacteristic
573C2×D172C2411yescharacteristic
574C2×D172C2411yescharacteristic
575C2×D172C2411yescharacteristic
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—41no—
590C2×C4×D43—41no—
591C2×C4×D43—44no—
592C2×C4×D43C2×D411yescharacteristic
593C2×C4×D43C2×D411yescharacteristic
594C2×C4×D43C2411yescharacteristic
595C2×C4×D43C2411yescharacteristic
596C2×C4×D43C2411yescharacteristic
597C2×C4×D43C2411yescharacteristic
598C2×Dic86—21no—
599C2×Dic86—21no—
600C2×Dic86—21no—
601C2×Dic86—21no—
602C2×Dic86C2×D411yescharacteristic
603C2×Dic86C2411yescharacteristic
604C2×Dic86C2411yescharacteristic
605C2×Dic86C2411yescharacteristic
606Q16×C43—22no—
607Q16×C43—22no—
608SD16×C43—22no—
609SD16×C43—22no—
610C2×C8×C43C2411yescharacteristic
611C2×C8×C43C2411yescharacteristic
612C2×C8×C43C2411yescharacteristic
613C2×C8×C43C2411yescharacteristic
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43C2×D411yescharacteristic
622C4⋊C4×C43C2×D411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C4⋊C4×C43C2411yescharacteristic
625C4⋊C4×C43C2411yescharacteristic
626C4⋊C4×C43C2411yescharacteristic
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43C2×D411yescharacteristic
634C22⋊C4×C43C2×D411yescharacteristic
635C42×C43—21no—
636C42×C43—21no—
637C42×C43—21no—
638C42×C43—21no—
639C42×C43—21no—
640C42×C43—21no—
641C42×C43C2411yescharacteristic
642C42×C43C2411yescharacteristic
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647#10621885—22no—
648#10621885—22no—
649#10621885—22no—
650#10621885—22no—
651#10621885—41no—
652#10621884—41no—
653#10621884—41no—
654#10621884—41no—
655#10621883—41no—
656#10621882—41no—
657#10621882—41no—
658#10621882—41no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
680(C2×D43)⋊C4C2×D411yescharacteristic
681(C2×D43)⋊C4C2×D411yescharacteristic
682(C2×D43)⋊C4C2×D411yescharacteristic
683(C2×D43)⋊C4C2×D411yescharacteristic
684(C2×D43)⋊C4C2×D411yescharacteristic
685(C2×D43)⋊C4C2×D411yescharacteristic
686(C2×D43)⋊C4C2×D411yescharacteristic
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43C2×D411yescharacteristic
696C4⋊Dic43C2×D411yescharacteristic
697C4⋊Dic43C2×D411yescharacteristic
698C4⋊Dic43C2×D411yescharacteristic
699C4⋊Dic43C2411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701Dic43⋊C4—21no—
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—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C2×C43⋊C8C2411yescharacteristic
716C2×C43⋊C8C2411yescharacteristic
717C2×C43⋊C8C2411yescharacteristic
718C2×C43⋊C8C2411yescharacteristic
719Dic172—41no—
720Dic172—41no—
721#10621873—41no—
722#10621873—41no—
723#10621873—41no—
724#10621873—41no—
725#10621873—41no—
726#10621873—41no—
727#10621872—41no—
728#10621872—41no—
729#10621872—41no—
730#10621872—41no—
731C8×D43—41no—
732C8×D43—41no—
733C8×D43—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43C22×D411yescharacteristic
737C22×D43—21no—
738C22×D43—21no—
739C22×D43—21no—
740C22×D43—41no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—42no—
744C22×D43—81no—
745C22×D43—81no—
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749C22×D43C22×D411yescharacteristic
750Q8×C43—24no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—81no—
756Q8×C43H(5,𝔽2)12yes—
757Q8×C43H(5,𝔽2)12yes—
758D4×C43—21no—
759D4×C43—21no—
760D4×C43—81no—
761C2×C4×C43—24no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—81no—
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C2511yescharacteristic
778C22⋊D43—41no—
779C22⋊D43—41no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—81no—
783C22⋊D43—81no—
784C22⋊D43—81no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—41no—
791C2×Dic43—81no—
792C2×Dic43—81no—
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797D172—21no—
798D172—21no—
799D172—21no—
800D172—21no—
801D172—21no—
802D172—21no—
803D172—41no—
804D172—41no—
805D172—41no—
806D172—41no—
807D172—41no—
808D172—42no—
809D172—42no—
810D172—42no—
811D172—42no—
812D172—42no—
813D172—42no—
814D172—42no—
815D172—81no—
816D172—81no—
817D172—81no—
818D172—81no—
819D172—81no—
820D172—81no—
821D172—81no—
822D172—81no—
823D172—81no—
824D172—81no—
825C4×D43—21no—
826C4×D43—21no—
827C4×D43—21no—
828C4×D43—21no—
829C4×D43—21no—
830C4×D43—21no—
831C4×D43—21no—
832C4×D43—21no—
833C4×D43—41no—
834C4×D43—41no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—42no—
839C4×D43—42no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—42no—
843C4×D43—42no—
844C4×D43—81no—
845C4×D43—81no—
846C4×D43—81no—
847C4×D43—81no—
848Dic86—21no—
849Dic86—21no—
850Dic86—21no—
851Dic86—21no—
852Dic86—21no—
853Dic86—21no—
854Dic86—41no—
855Dic86—42no—
856Dic86—42no—
857Dic86—81no—
858Dic86—81no—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C8×C43—21no—
863C43⋊C8—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866C43⋊C8—21no—
867#61615—431nomaximal, Sylow
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—21no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43C23×D411yescharacteristic
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—82no—
897C2×D43—84no—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—21no—
901C4×C43—21no—
902C4×C43—22no—
903C4×C43—22no—
904C4×C43—21no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43—41no—
909C4×C43—41no—
910C4×C43C2×H(5,𝔽2)11yescharacteristic
911C4×C43C2×H(5,𝔽2)11yescharacteristic
912Dic43—21no—
913Dic43—21no—
914Dic43—21no—
915Dic43—21no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921#3541—431no—
922#3487—431no—
923#3333—431no—
924#3326—431no—
925#3317—431no—
926#3316—431no—
927#3313—431no—
928#3309—431no—
929#3304—431no—
930#3300—431no—
931#3285—431no—
932#3284—431no—
933#3278—431no—
934#3277—431no—
935#3271—431no—
936#3271—431no—
937#3270—431no—
938#3269—431no—
939#3224—431no—
940#3222—431no—
941#3200—431no—
942#3198—431no—
943#3197—431no—
944#3190—431no—
945#3127—431no—
946#3121D4311yescharacteristic, complemented
947#3013—431no—
948#3011—431no—
949#3007—431no—
950#3002—431no—
951#2976—431no—
952C2×C43—41no—
953C2×C43—81no—
954C2×C43#348411yescharacteristic
955C2×C43#358411yescharacteristic
956C2×C43#358611yescharacteristic
957D43—41no—
958D43—41no—
959D43—41no—
960D43—41no—
961D43—81no—
962D43—81no—
963D43—81no—
964C2×2−1+4—431no—
965C22×#41—431no—
966C2×#137—431no—
967C2×#137—431no—
968C2×#137—431no—
969C2×#137—431no—
970C2×#135—431no—
971C2×#135—431no—
972C2×#135—431no—
973C22×Q16—431no—
974#563—861no—
975#562—861no—
976#556—431no—
977#554—431no—
978#554—861no—
979#553—431no—
980#553—861no—
981#552—431no—
982#550—431no—
983#550—431no—
984#550—431no—
985#550—431no—
986#550—861no—
987#550—861no—
988D4×Q8—431no—
989#548—431no—
990#548—431no—
991#548—431no—
992#548—431no—
993#548—431no—
994#548—431no—
995#548—861no—
996#548—861no—
997#547—431no—
998#542—861no—
999#542C2×D4311yescharacteristic
1000#541—431no—
1001#539—861no—
1002#538—861no—
1003#538—861no—
1004#537—431no—
1005#536—431no—
1006#535—431no—
1007#535—431no—
1008#535—861no—
1009#535—861no—
1010#525—431no—
1011#525—431no—
1012#525—431no—
1013#525—861no—
1014#525—861no—
1015C2×C22⋊Q8—431no—
1016#519C2×D4311yescharacteristic
1017#497—431no—
1018#496—431no—
1019#495—431no—
1020#492—431no—
1021#490—431no—
1022#489—431no—
1023#488—431no—
1024#486—431no—
1025#485—431no—
1026#485—431no—
1027#485—431no—
1028#485C2×D4311yescharacteristic
1029#483—431no—
1030#482—431no—
1031#482—431no—
1032#482—431no—
1033#482C2×D4311yescharacteristic
1034#481—431no—
1035#480—431no—
1036#480—431no—
1037#479—431no—
1038#479—431no—
1039#477C2×D4311yescharacteristic, complemented
1040#475C2×D4311yescharacteristic, complemented
1041#470—431no—
1042#469—431no—
1043#469—431no—
1044#468—431no—
1045#468—431no—
1046#468—431no—
1047#468—431no—
1048#468—431no—
1049#467—431no—
1050#467—431no—
1051#466—431no—
1052#465—431no—
1053#465—431no—
1054#465—431no—
1055#465—431no—
1056#465—431no—
1057#464—431no—
1058#464—431no—
1059#464—431no—
1060#464C2×D4311yescharacteristic, complemented
1061#464C2×D4311yescharacteristic, complemented
1062#463—431no—
1063#462—431no—
1064#462—431no—
1065#460—431no—
1066#460—431no—
1067#460—431no—
1068#459—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452—431no—
1081#452—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451C2×D4311yescharacteristic
1089#450—431no—
1090#450—431no—
1091#450—431no—
1092#449—431no—
1093#449—431no—
1094#449—431no—
1095#449—431no—
1096#449—431no—
1097#449—431no—
1098#449—431no—
1099#448—431no—
1100#448—431no—
1101#448—431no—
1102#448—431no—
1103#448C2×D4311yescharacteristic
1104#447—431no—
1105#441—431no—
1106#441—431no—
1107#441C2×D4311yescharacteristic, complemented
1108#440C2×D4311yescharacteristic, complemented
1109C4×Q16—431no—
1110C4×Q16—431no—
1111C4×Q16C2×D4311yescharacteristic, complemented
1112C4×SD16C2×D4311yescharacteristic, complemented
1113#436—431no—
1114#436—431no—
1115#435—431no—
1116#435—431no—
1117#435—431no—
1118#435—431no—
1119C8×D4—431no—
1120C8×D4—431no—
1121#433—431no—
1122#433C2×D4311yescharacteristic
1123#419—431no—
1124#417—431no—
1125#417—431no—
1126#417—431no—
1127#416—431no—
1128#416—431no—
1129#416—431no—
1130C2×#103—431no—
1131#408—431no—
1132#408—431no—
1133#407—431no—
1134C2×C22⋊C8—431no—
1135C43#6161511yescharacteristic, complemented, Sylow
11362−1+4—1722no—
11372−1+4—1722no—
1138C2×#41—431no—
1139C2×#41—431no—
1140C2×#41—431no—
1141C2×#41—431no—
1142C2×#41—431no—
1143C2×#41—431no—
1144C2×#41—431no—
1145C2×#41—431no—
1146C2×#41—431no—
1147C2×#41—431no—
1148C2×#41—861no—
1149C2×#41—861no—
1150C2×#41—861no—
1151C2×#41—861no—
1152C2×#41—861no—
1153C2×#41—1722no—
1154C2×#41—1722no—
1155C22×Q8—431no—
1156C22×Q8—431no—
1157C22×Q8—431no—
1158C22×Q8—431no—
1159C22×Q8—861no—
1160C22×Q8C22×D4311yescharacteristic
1161C22×D4—431no—
1162C22×D4—861no—
1163C23×C4—431no—
1164C23×C4—861no—
1165#137—1722no—
1166#137—1722no—
1167#137—1722no—
1168#137—1722no—
1169#135—1722no—
1170#135—1722no—
1171#135—1722no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—431no—
1176C2×Q16—431no—
1177C2×Q16—431no—
1178C2×Q16—431no—
1179C2×Q16—1722no—
1180C2×Q16C22×D4311yescharacteristic
1181C2×Q16C22×D4311yescharacteristic
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16—431no—
1190C2×SD16—431no—
1191C2×SD16—431no—
1192C2×SD16C22×D4311yescharacteristic
1193C2×SD16C22×D4311yescharacteristic
1194C2×D8—431no—
1195C2×D8—431no—
1196C2×D8—431no—
1197C2×M16—431no—
1198C2×M16—431no—
1199C2×M16—431no—
1200C2×M16—431no—
1201C22×C8—431no—
1202C22×C8—431no—
1203C22×C8—431no—
1204C22×C8—431no—
1205C4⋊Q8—431no—
1206C4⋊Q8—861no—
1207C4⋊Q8—861no—
1208C4⋊Q8C22×D4311yescharacteristic
1209#127—431no—
1210#127—431no—
1211#127—861no—
1212#127—861no—
1213#127—861no—
1214#127—861no—
1215#127—861no—
1216#126—21no—
1217#126—861no—
1218#126—861no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#125—431no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125—861no—
1228#124—21no—
1229#124—431no—
1230#124—431no—
1231#124—861no—
1232#124—861no—
1233#124—861no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124C22×D4311yescharacteristic
1241#123—21no—
1242#123—431no—
1243#123—431no—
1244#123—861no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252C22⋊Q8—21no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—431no—
1263C22⋊Q8—431no—
1264C22⋊Q8—431no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8C22×D4311yescharacteristic
1279#121—431no—
1280#121—431no—
1281#121—431no—
1282#121—431no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121C22×D4311yescharacteristic
1311#120—431no—
1312#120—431no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319C4×Q8—21no—
1320C4×Q8—21no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8—861no—
1324C4×Q8C22×D4311yescharacteristic
1325C4×Q8C22×D4311yescharacteristic
1326C4×Q8C22×D4311yescharacteristic
1327C4×Q8C22×D4311yescharacteristic
1328C4×Q8C22×D4311yescharacteristic
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4C22×D4311yescharacteristic
1351#117—21no—
1352#117—21no—
1353#117—431no—
1354#117—431no—
1355#117—861no—
1356#117C22×D4311yescharacteristic
1357#117C22×D4311yescharacteristic
1358C2×C4⋊C4—431no—
1359C2×C4⋊C4—431no—
1360C2×C4⋊C4—861no—
1361C2×C4⋊C4—861no—
1362C2×C22⋊C4—861no—
1363#107—431no—
1364#107—431no—
1365#107C22×D4311yescharacteristic
1366#107C22×D4311yescharacteristic
1367#106—431no—
1368#106—431no—
1369#106C22×D4311yescharacteristic
1370#106C22×D4311yescharacteristic
1371C4⋊C8—431no—
1372C4⋊C8—431no—
1373C4⋊C8C22×D4311yescharacteristic
1374C4⋊C8C22×D4311yescharacteristic
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#103C22×D4311yescharacteristic
1390#103C22×D4311yescharacteristic
1391#103C22×D4311yescharacteristic
1392#103C22×D4311yescharacteristic
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102—431no—
1404#102—431no—
1405#102C22×D4311yescharacteristic
1406#102C22×D4311yescharacteristic
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8—431no—
1413C22⋊C8—431no—
1414C22⋊C8—431no—
1415C22⋊C8—431no—
1416C22⋊C8—431no—
1417C22⋊C8C22×D4311yescharacteristic
1418C22⋊C8C22×D4311yescharacteristic
1419#97—431no—
1420#97C22×D4311yescharacteristic
1421C4×C8—431no—
1422C4×C8C22×D4311yescharacteristic
1423C24—431no—
1424C24—861no—
1425#41—862no—
1426#41—862no—
1427#41—862no—
1428#41—862no—
1429#41—862no—
1430#41—862no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1724no—
1436#41—1724no—
1437#41—1721no—
1438#41—1721no—
1439#41—1721no—
1440#41—1721no—
1441#41—1721no—
1442#41—1721no—
1443#41—1721no—
1444#41—1721no—
1445#41—1721no—
1446#41—1721no—
1447#41—1724no—
1448#41—1724no—
1449#41—1724no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—431no—
1455C2×Q8—431no—
1456C2×Q8—431no—
1457C2×Q8—431no—
1458C2×Q8—861no—
1459C2×Q8—861no—
1460C2×Q8—861no—
1461C2×Q8—861no—
1462C2×Q8—862no—
1463C2×Q8—862no—
1464C2×Q8—1721no—
1465C2×Q8—1721no—
1466C2×Q8—1721no—
1467C2×Q8—1721no—
1468C2×Q8—1721no—
1469C2×Q8—1721no—
1470C2×Q8—1724no—
1471C2×Q8C23×D4311yescharacteristic
1472C2×Q8C23×D4311yescharacteristic
1473C2×Q8C23×D4311yescharacteristic
1474C2×D4—21no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—431no—
1479C2×D4—431no—
1480C2×D4—431no—
1481C2×D4—431no—
1482C2×D4—431no—
1483C2×D4—431no—
1484C2×D4—431no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—1721no—
1508C2×D4—1721no—
1509C2×D4—1724no—
1510C2×D4C23×D4311yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—431no—
1514C22×C4—431no—
1515C22×C4—431no—
1516C22×C4—431no—
1517C22×C4—431no—
1518C22×C4—431no—
1519C22×C4—431no—
1520C22×C4—861no—
1521C22×C4—861no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—861no—
1527C22×C4—861no—
1528C22×C4—861no—
1529C22×C4—861no—
1530C22×C4—861no—
1531C22×C4—861no—
1532C22×C4—861no—
1533C22×C4—861no—
1534C22×C4—861no—
1535C22×C4—1721no—
1536C22×C4—1721no—
1537C22×C4—1724no—
1538C22×C4C23×D4311yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—862no—
1542Q16—862no—
1543Q16—862no—
1544Q16—862no—
1545Q16—1721no—
1546Q16—1721no—
1547Q16—1721no—
1548SD16—22no—
1549SD16—22no—
1550SD16—1721no—
1551SD16—1721no—
1552SD16—1721no—
1553SD16—1721no—
1554SD16—1721no—
1555SD16—1721no—
1556SD16—1721no—
1557SD16—1721no—
1558SD16—1721no—
1559SD16—1721no—
1560D8—1721no—
1561D8—1721no—
1562D8—1721no—
1563M16—1721no—
1564M16—1721no—
1565M16—1721no—
1566M16—1721no—
1567C2×C8—431no—
1568C2×C8—431no—
1569C2×C8—431no—
1570C2×C8—431no—
1571C2×C8—1721no—
1572C2×C8—1721no—
1573C2×C8—1721no—
1574C2×C8—1721no—
1575C2×C8C23×D4311yescharacteristic
1576C2×C8C23×D4311yescharacteristic
1577C2×C8C23×D4311yescharacteristic
1578C2×C8C23×D4311yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—431no—
1589C4⋊C4—431no—
1590C4⋊C4—431no—
1591C4⋊C4—431no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4D4×D4311yescharacteristic
1611C4⋊C4D4×D4311yescharacteristic
1612C4⋊C4C23×D4311yescharacteristic
1613C4⋊C4C23×D4311yescharacteristic
1614C4⋊C4C23×D4311yescharacteristic
1615C4⋊C4C23×D4311yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—431no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4D4×D4311yescharacteristic
1655C22⋊C4D4×D4311yescharacteristic
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—861no—
1663C42—861no—
1664C42—861no—
1665C42—861no—
1666C42C23×D4311yescharacteristic
1667C42C23×D4311yescharacteristic
1668C23—21no—
1669C23—431no—
1670C23—431no—
1671C23—431no—
1672C23—431no—
1673C23—861no—
1674C23—861no—
1675C23—861no—
1676C23—3441no—
1677C23—3441no—
1678C23—1721no—
1679C23—1721no—
1680C23—1721no—
1681C23—1722no—
1682C23C2×D4×D4311yescharacteristic
1683Q8—24no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—81no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—861no—
1694Q8—861no—
1695Q8—3441no—
1696Q8—3441no—
1697Q8—1721no—
1698Q8—1722no—
1699Q8—1722no—
1700Q8#1306337112yes—
1701Q8#1306337112yes—
1702D4—21no—
1703D4—21no—
1704D4—81no—
1705D4—861no—
1706D4—861no—
1707D4—861no—
1708D4—861no—
1709D4—861no—
1710D4—861no—
1711D4—3441no—
1712D4—3441no—
1713D4—3441no—
1714D4—3441no—
1715D4—3441no—
1716D4—3441no—
1717D4—3441no—
1718D4—3441no—
1719D4—3441no—
1720D4—3441no—
1721D4—3441no—
1722D4—3441no—
1723D4—3441no—
1724D4—1721no—
1725D4—1721no—
1726D4—1721no—
1727D4—1721no—
1728D4—1721no—
1729D4—1722no—
1730D4—1722no—
1731D4—1722no—
1732D4—1722no—
1733D4—1722no—
1734D4—1722no—
1735D4—1722no—
1736D4—1721no—
1737D4—1721no—
1738D4—1722no—
1739D4—1722no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—81no—
1751C2×C4—431no—
1752C2×C4—431no—
1753C2×C4—431no—
1754C2×C4—431no—
1755C2×C4—861no—
1756C2×C4—861no—
1757C2×C4—861no—
1758C2×C4—861no—
1759C2×C4—861no—
1760C2×C4—861no—
1761C2×C4—861no—
1762C2×C4—861no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—861no—
1767C2×C4—861no—
1768C2×C4—3441no—
1769C2×C4—3441no—
1770C2×C4—3441no—
1771C2×C4—3441no—
1772C2×C4—3441no—
1773C2×C4—3441no—
1774C2×C4—1721no—
1775C2×C4—1721no—
1776C2×C4—1722no—
1777C2×C4—1722no—
1778C2×C4—1722no—
1779C2×C4—1722no—
1780C2×C4—1722no—
1781C2×C4—1722no—
1782C2×C4—1722no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4—1721no—
1786C2×C4C2×D4×D4311yescharacteristic
1787C2×C4C2×D4×D4311yescharacteristic
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C2×D4×D4311yescharacteristic
1791C2×C4C24×D4311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C8—861no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—861no—
1807C22—861no—
1808C22—861no—
1809C22—861no—
1810C22—861no—
1811C22—861no—
1812C22—861no—
1813C22—861no—
1814C22—861no—
1815C22—861no—
1816C22—861no—
1817C22—861no—
1818C22—3444no—
1819C22—3442no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22—1721no—
1826C22—1721no—
1827C22—1721no—
1828C22—1721no—
1829C22C22×D4×D4311yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—22no—
1835C4—22no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—861no—
1843C4—861no—
1844C4—861no—
1845C4—861no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4C2×#1306337111yescharacteristic
1852C4C2×#1306337111yescharacteristic
1853C2—41no—
1854C2—81no—
1855C2—3441no—
1856C2—3441no—
1857C2—3441no—
1858C2—1721no—
1859C2—1721no—
1860C2—1721no—
1861C2—1721no—
1862C2#1914822811yescharacteristic
1863C2#1914936711yescharacteristic
1864C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3121C2
socleC22×C43C23×D4
hypercenter#3121D43
hypocenterC43#61615
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #19148884C2semidirect
2. #19148254C2semidirect
3. #19146930C2semidirect
4. #19146853C2semidirect
5. #19146726C2semidirect
6. #19146703C2semidirect
7. #19146658C2semidirect
8. #19146606C2semidirect
9. #19146531C2semidirect
10. #19146487C2semidirect
11. #19146331C2semidirect
12. #19146326C2semidirect
13. #19146262C2semidirect
14. #19146247C2semidirect
15. #19146186C2semidirect
16. #19146186C2semidirect
17. #19146167C2semidirect
18. #19146152C2semidirect
19. #19145683C2semidirect
20. #19145669C2semidirect
21. #19145466C2semidirect
22. #19145445C2semidirect
23. #19145435C2semidirect
24. #19145380C2semidirect
25. #19144895C2semidirect
26. #19143905C2semidirect
27. #19143885C2semidirect
28. #19143854C2semidirect
29. #19143812C2semidirect
30. #19143641C2semidirect
31. C43×#3121C2semidirect
36. C2×#13063357C22semidirect
37. C2×#13063354C22semidirect
40. C2×#13063346C22semidirect
41. C2×Q16×D43C22semidirect
44. #14583623C22semidirect
45. #14583610C22semidirect
48. #14583599C22semidirect
49. #14583590C22semidirect
56. Q8×D172C22semidirect
63. #14583557C22semidirect
64. #14583557C22semidirect
65. #14583553C22semidirect
83. #14583293C22semidirect
84. #14583289C22semidirect
85. #14583281C22semidirect
86. #14583272C22semidirect
87. #14583264C22semidirect
88. #14583261C22semidirect
89. #14583254C22semidirect
90. #14583247C22semidirect
91. #14583242C22semidirect
94. #14583231C22semidirect
95. #14583226C22semidirect
96. #14583225C22semidirect
97. #14583225C22semidirect
98. #14583219C22semidirect
99. #14583214C22semidirect
100. #14583214C22semidirect
101. #14583206C22semidirect
102. #14583206C22semidirect
103. #14583158C22semidirect
104. #14583151C22semidirect
105. #14583151C22semidirect
106. #14583148C22semidirect
107. #14583146C22semidirect
108. #14583146C22semidirect
109. #14583146C22semidirect
110. #14583144C22semidirect
111. #14583141C22semidirect
112. #14583139C22semidirect
113. #14583134C22semidirect
114. #14583131C22semidirect
115. #14583131C22semidirect
116. #14583129C22semidirect
117. #14583129C22semidirect
118. #14583129C22semidirect
119. #14583122C22semidirect
120. #14583122C22semidirect
121. #14583121C22semidirect
122. #14583114C22semidirect
123. #14583109C22semidirect
124. #14583109C22semidirect
125. #14583100C22semidirect
126. #14583100C22semidirect
127. #14583099C22semidirect
128. #14583094C22semidirect
133. #14583064C22semidirect
134. #14583064C22semidirect
137. #14583062C22semidirect
140. #14583060C22semidirect
142. #14583056C22semidirect
143. #14583056C22semidirect
144. #14583056C22semidirect
147. #14583053C22semidirect
151. #14583045C22semidirect
152. #14583045C22semidirect
153. #14583045C22semidirect
156. #14583043C22semidirect
158. #14583039C22semidirect
159. #14583039C22semidirect
160. #14583039C22semidirect
161. #14583036C22semidirect
163. #14583004C22semidirect
164. #14583004C22semidirect
165. C4×#10621885C22semidirect
166. C4×#10621885C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. C8×D172C22semidirect
174. #14582964C22semidirect
176. #14582906C22semidirect
179. #14582899C22semidirect
182. #14582894C22semidirect
183. #103×D43C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
946. #3121D43semidirect
1039. #477C2×D43semidirect
1040. #475C2×D43semidirect
1060. #464C2×D43semidirect
1061. #464C2×D43semidirect
1107. #441C2×D43semidirect
1108. #440C2×D43semidirect
1111. C4×Q16C2×D43semidirect
1112. C4×SD16C2×D43semidirect
1135. C43#61615semidirect

Maximal subgroups

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

subgroupindex
#191488842
#191482542
#191469302
#191468532
#191467262
#191467032
#191466582
#191466062
#191465312
#191464872
#191463312
#191463262
#191462622
#191462472
#191461862
#191461672
#191461522
#191456832
#191456692
#191454662
#191454452
#191454352
#191453802
#191448952
#191439052
#191438852
#191438542
#191438122
#191436412
C43×#31212
#6161543