Finite Group Databasebeta

← #11910913

Subgroups — #11910913

Order 1152.

1749 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D42×C9C211yesmaximal, characteristic, complemented
2#10589908C211yesmaximal, characteristic, complemented
3#10589908C211yesmaximal, characteristic, complemented
4#10589908C211yesmaximal, characteristic, complemented
5#10589906C211yesmaximal, characteristic, complemented
6#10589906C211yesmaximal, characteristic, complemented
7C2×#63501C211yesmaximal, characteristic, complemented
8D4×#611C211yesmaximal, characteristic, complemented
9C2×#63497C211yesmaximal, characteristic, complemented
10#10589822C211yesmaximal, characteristic, complemented
11#10589821C211yesmaximal, characteristic, complemented
12#10589723C211yesmaximal, characteristic, complemented
13#10589723C211yesmaximal, characteristic, complemented
14#10589717C211yesmaximal, characteristic, complemented
15#10589715C211yesmaximal, characteristic, complemented
16#10589712C211yesmaximal, characteristic, complemented
17#10589704C211yesmaximal, characteristic, complemented
18#10589703C211yesmaximal, characteristic, complemented
19#10589699C211yesmaximal, characteristic, complemented
20#10589697C211yesmaximal, characteristic, complemented
21#10589695C211yesmaximal, characteristic, complemented
22#10589695C211yesmaximal, characteristic, complemented
23#10589693C211yesmaximal, characteristic, complemented
24#10589693C211yesmaximal, characteristic, complemented
25#10589691C211yesmaximal, characteristic, complemented
26#10589689C211yesmaximal, characteristic, complemented
27#10589688C211yesmaximal, characteristic, complemented
28#10589666C211yesmaximal, characteristic, complemented
29#10589666C211yesmaximal, characteristic, complemented
30#10589658C211yesmaximal, characteristic, complemented
31#10589642C211yesmaximal, characteristic, complemented
32#86613—31nomaximal
33C22×D4×C9C2211yescharacteristic
34C22×D4×C9C2211yescharacteristic, complemented
35C22×D4×C9C2211yescharacteristic, complemented
36C22×D4×C9C2211yescharacteristic, complemented
37C22×#611C2211yescharacteristic, complemented
38C22×#611C2211yescharacteristic, complemented
39C22×#611C2211yescharacteristic, complemented
40C23×Dic9C2211yescharacteristic, complemented
41C2×#3699C2211yescharacteristic, complemented
42C2×#3699C2211yescharacteristic, complemented
43C2×#3699C2211yescharacteristic, complemented
44C2×D4×D9C2211yescharacteristic, complemented
45C9×#127C2211yescharacteristic, complemented
46C9×#121C2211yescharacteristic
47C9×#121C2211yescharacteristic, complemented
48C9×#121C2211yescharacteristic, complemented
49C9×#121C2211yescharacteristic, complemented
50C9×#120C2211yescharacteristic
51C9×#120C2211yescharacteristic, complemented
52C9×#120C2211yescharacteristic, complemented
53C9×#120C2211yescharacteristic, complemented
54C4×D4×C9C2211yescharacteristic, complemented
55C4×D4×C9C2211yescharacteristic, complemented
56#63515C2211yescharacteristic, complemented
57#63515C2211yescharacteristic, complemented
58#63515C2211yescharacteristic, complemented
59#63515C2211yescharacteristic, complemented
60#63515C2211yescharacteristic, complemented
61#63515C2211yescharacteristic, complemented
62C2×#3676C2211yescharacteristic, complemented
63C2×#3676C2211yescharacteristic, complemented
64C2×#3676C2211yescharacteristic, complemented
65C2×#3676C2211yescharacteristic, complemented
66C2×#3676C2211yescharacteristic, complemented
67C2×#3676C2211yescharacteristic, complemented
68#63502C2211yescharacteristic, complemented
69#63501C2211yescharacteristic
70#63501C2211yescharacteristic
71#63501C2211yescharacteristic, complemented
72#63501C2211yescharacteristic, complemented
73#63501C2211yescharacteristic, complemented
74#63501C2211yescharacteristic, complemented
75#63501C2211yescharacteristic, complemented
76#63501C2211yescharacteristic, complemented
77#63501C2211yescharacteristic, complemented
78#63501C2211yescharacteristic, complemented
79#63501C2211yescharacteristic, complemented
80#63501C2211yescharacteristic, complemented
81#63501C2211yescharacteristic, complemented
82#63501C2211yescharacteristic, complemented
83#63501C2211yescharacteristic, complemented
84#63501C2211yescharacteristic, complemented
85#63501C2211yescharacteristic, complemented
86#63501C2211yescharacteristic, complemented
87#63501C2211yescharacteristic, complemented
88#63501C2211yescharacteristic, complemented
89#63501C2211yescharacteristic, complemented
90#63501C2211yescharacteristic, complemented
91#63500C2211yescharacteristic, complemented
92#63500C2211yescharacteristic, complemented
93#63500C2211yescharacteristic, complemented
94#63500C2211yescharacteristic, complemented
95#63500C2211yescharacteristic, complemented
96#63500C2211yescharacteristic, complemented
97#63499C2211yescharacteristic
98#63499C2211yescharacteristic, complemented
99#63499C2211yescharacteristic, complemented
100#63499C2211yescharacteristic, complemented
101#63499C2211yescharacteristic, complemented
102#63499C2211yescharacteristic, complemented
103#63498C2211yescharacteristic, complemented
104#63498C2211yescharacteristic, complemented
105#63498C2211yescharacteristic, complemented
106#63497C2211yescharacteristic, complemented
107#63497C2211yescharacteristic, complemented
108#63497C2211yescharacteristic, complemented
109#63497C2211yescharacteristic, complemented
110#63497C2211yescharacteristic, complemented
111#63497C2211yescharacteristic, complemented
112#63497C2211yescharacteristic, complemented
113#63497C2211yescharacteristic, complemented
114#63497C2211yescharacteristic, complemented
115#63497C2211yescharacteristic, complemented
116#63497C2211yescharacteristic, complemented
117#63497C2211yescharacteristic, complemented
118#63497C2211yescharacteristic, complemented
119#63497C2211yescharacteristic, complemented
120#63497C2211yescharacteristic, complemented
121#63497C2211yescharacteristic, complemented
122D4×Dic9C2211yescharacteristic, complemented
123D4×Dic9C2211yescharacteristic, complemented
124D4×Dic9C2211yescharacteristic, complemented
125D4×Dic9C2211yescharacteristic, complemented
126D4×Dic9C2211yescharacteristic, complemented
127D4×Dic9C2211yescharacteristic, complemented
128#63492C2211yescharacteristic, complemented
129#63491C2211yescharacteristic, complemented
130#63491C2211yescharacteristic, complemented
131#63491C2211yescharacteristic, complemented
132#63491C2211yescharacteristic, complemented
133C4×#611C2211yescharacteristic, complemented
134C4×#611C2211yescharacteristic, complemented
135C4×#611C2211yescharacteristic, complemented
136C4×#611C2211yescharacteristic, complemented
137C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
138#63486C2211yescharacteristic, complemented
139#63486C2211yescharacteristic, complemented
140#63486C2211yescharacteristic, complemented
141C2×Dic9⋊C4C2211yescharacteristic, complemented
142C2×Dic9⋊C4C2211yescharacteristic, complemented
143C2×Dic9⋊C4C2211yescharacteristic, complemented
144#63460C2211yescharacteristic, complemented
145#63458C2211yescharacteristic, complemented
146#63458C2211yescharacteristic, complemented
147#63458C2211yescharacteristic, complemented
148#63456C2211yescharacteristic, complemented
149#63451C2211yescharacteristic, complemented
150#63451C2211yescharacteristic, complemented
151#63451C2211yescharacteristic, complemented
152#63448C2211yescharacteristic, complemented
153#63448C2211yescharacteristic, complemented
154#63447C2211yescharacteristic, complemented
155#63447C2211yescharacteristic, complemented
156#63447C2211yescharacteristic, complemented
157#63446C2211yescharacteristic, complemented
158#63446C2211yescharacteristic, complemented
159#63446C2211yescharacteristic, complemented
160#63445C2211yescharacteristic, complemented
161#63445C2211yescharacteristic, complemented
162#63445C2211yescharacteristic, complemented
163#63445C2211yescharacteristic, complemented
164#63445C2211yescharacteristic, complemented
165#611⋊C4C2211yescharacteristic, complemented
166#611⋊C4C2211yescharacteristic, complemented
167#611⋊C4C2211yescharacteristic, complemented
168#611⋊C4C2211yescharacteristic, complemented
169C22⋊C4×D9C2211yescharacteristic, complemented
170C22⋊C4×D9C2211yescharacteristic, complemented
171#63441C2211yescharacteristic, complemented
172#63441C2211yescharacteristic, complemented
173#63441C2211yescharacteristic, complemented
174#63441C2211yescharacteristic, complemented
175#63441C2211yescharacteristic, complemented
176#63440C2211yescharacteristic, complemented
177#63440C2211yescharacteristic, complemented
178#63440C2211yescharacteristic, complemented
179#63440C2211yescharacteristic, complemented
180#63440C2211yescharacteristic, complemented
181#63440C2211yescharacteristic, complemented
182#63439C2211yescharacteristic, complemented
183#63439C2211yescharacteristic, complemented
184#63438C2211yescharacteristic, complemented
185#63438C2211yescharacteristic, complemented
186#63434C2211yescharacteristic, complemented
187#63432C2211yescharacteristic, complemented
188C3×D42D311yescharacteristic
189#5806—31no—
190#5806—31no—
191#5806—31no—
192#5804—31no—
193#5804—31no—
194C2×#939—31no—
195D4×#67—31no—
196C2×#935—31no—
197#5720—31no—
198#5719—31no—
199#5621—31no—
200#5621—31no—
201#5615—31no—
202#5613—31no—
203#5610—31no—
204#5602—31no—
205#5601—31no—
206#5597—31no—
207#5595—31no—
208#5593—31no—
209#5593—31no—
210#5591—31no—
211#5591—31no—
212#5589—31no—
213#5587—31no—
214#5586—31no—
215#5564—31no—
216#5564—31no—
217#5556—31no—
218#5540—31no—
219C24×C9C2311yescharacteristic
220C24×C9C2311yescharacteristic
221C24×C9C2311yescharacteristic
222C24×C9C2311yescharacteristic
223C23×D9C2311yescharacteristic
224C23×D9C2311yescharacteristic
225C2×D4×C9—42no—
226C2×D4×C9—42no—
227C2×D4×C9—42no—
228C2×D4×C9—42no—
229C2×D4×C9C2311yescharacteristic
230C2×D4×C9C2311yescharacteristic
231C2×D4×C9C2311yescharacteristic
232C2×D4×C9C2311yescharacteristic
233C2×D4×C9C2311yescharacteristic
234C2×D4×C9C2311yescharacteristic
235C2×D4×C9C2311yescharacteristic
236C2×D4×C9C2311yescharacteristic
237C2×D4×C9C2311yescharacteristic
238C2×D4×C9C2311yescharacteristic
239C2×D4×C9C2311yescharacteristic
240C2×D4×C9C2311yescharacteristic
241C2×D4×C9C2311yescharacteristic
242C2×D4×C9C2311yescharacteristic
243C2×D4×C9C2311yescharacteristic
244C2×D4×C9C2311yescharacteristic
245C22×C4×C9C2311yescharacteristic
246C22×C4×C9C2311yescharacteristic
247C22×C4×C9C2311yescharacteristic
248C22×C4×C9C2311yescharacteristic
249C2×#611—42no—
250C2×#611—42no—
251C2×#611—42no—
252C2×#611C2311yescharacteristic
253C2×#611C2311yescharacteristic
254C2×#611C2311yescharacteristic
255C2×#611C2311yescharacteristic
256C2×#611C2311yescharacteristic
257C2×#611C2311yescharacteristic
258C2×#611C2311yescharacteristic
259C2×#611C2311yescharacteristic
260C2×#611C2311yescharacteristic
261C2×#611C2311yescharacteristic
262C2×#611C2311yescharacteristic
263C2×#611C2311yescharacteristic
264C2×#611C2311yescharacteristic
265C2×#611C2311yescharacteristic
266C2×#611C2311yescharacteristic
267C2×#611C2311yescharacteristic
268C2×#611C2311yescharacteristic
269C2×#611C2311yescharacteristic
270C2×#611C2311yescharacteristic
271C2×#611C2311yescharacteristic
272C22×Dic9—42no—
273C22×Dic9C2311yescharacteristic
274C22×Dic9C2311yescharacteristic
275C22×Dic9C2311yescharacteristic
276C22×Dic9C2311yescharacteristic
277C22×Dic9C2311yescharacteristic
278C22×Dic9C2311yescharacteristic
279C22×Dic9C2311yescharacteristic
280C22×Dic9C2311yescharacteristic
281C22×Dic9C2311yescharacteristic
282C22×Dic9C2311yescharacteristic
283C22×Dic9C2311yescharacteristic
284C22×Dic9C2311yescharacteristic
285C22×Dic9C2311yescharacteristic
286C22×Dic9C2311yescharacteristic
287#3699—42no—
288#3699—42no—
289#3699—42no—
290D4×D9—42no—
291C2×D36C2311yescharacteristic
292C2×C4×D9C2311yescharacteristic
293C2×C4×D9C2311yescharacteristic
294C2×C4×D9C2311yescharacteristic
295C2×C4×D9C2311yescharacteristic
296C2×C4×D9C2311yescharacteristic
297C2×Dic18C2311yescharacteristic
298C2×Dic18C2311yescharacteristic
299C2×Dic18C2311yescharacteristic
300C9×C4⋊C4C2311yescharacteristic
301C9×C4⋊C4C2311yescharacteristic
302C9×C22⋊C4C2311yescharacteristic
303C9×C22⋊C4C2311yescharacteristic
304C9×C22⋊C4C2311yescharacteristic
305C9×C22⋊C4C2311yescharacteristic
306C9×C22⋊C4C2311yescharacteristic
307C9×C22⋊C4C2311yescharacteristic
308C9×C22⋊C4C2311yescharacteristic
309C9×C22⋊C4C2311yescharacteristic
310C42×C9C2311yescharacteristic
311#3676C2311yescharacteristic
312#3676C2311yescharacteristic
313#3676C2311yescharacteristic
314#3676C2311yescharacteristic
315#3676C2311yescharacteristic
316#3676C2311yescharacteristic
317#3676C2311yescharacteristic
318#3676C2311yescharacteristic
319#3676C2311yescharacteristic
320#3676C2311yescharacteristic
321#3676C2311yescharacteristic
322#3676C2311yescharacteristic
323#3676C2311yescharacteristic
324#3676C2311yescharacteristic
325#3676C2311yescharacteristic
326#3676C2311yescharacteristic
327#3676C2311yescharacteristic
328#3676C2311yescharacteristic
329#3676C2311yescharacteristic
330#3676C2311yescharacteristic
331#3676C2311yescharacteristic
332#3676C2311yescharacteristic
333#3676C2311yescharacteristic
334#3676C2311yescharacteristic
335#3676C2311yescharacteristic
336#3676C2311yescharacteristic
337#3676C2311yescharacteristic
338#3676C2311yescharacteristic
339(C2×D9)⋊C4C2311yescharacteristic
340(C2×D9)⋊C4C2311yescharacteristic
341(C2×D9)⋊C4C2311yescharacteristic
342(C2×D9)⋊C4C2311yescharacteristic
343(C2×D9)⋊C4C2311yescharacteristic
344(C2×D9)⋊C4C2311yescharacteristic
345(C2×D9)⋊C4C2311yescharacteristic
346(C2×D9)⋊C4C2311yescharacteristic
347(C2×D9)⋊C4C2311yescharacteristic
348(C2×D9)⋊C4C2311yescharacteristic
349(C2×D9)⋊C4C2311yescharacteristic
350(C2×D9)⋊C4C2311yescharacteristic
351(C2×D9)⋊C4C2311yescharacteristic
352(C2×D9)⋊C4C2311yescharacteristic
353C4⋊Dic9C2311yescharacteristic
354C4⋊Dic9C2311yescharacteristic
355C4⋊Dic9C2311yescharacteristic
356C4⋊Dic9C2311yescharacteristic
357C4⋊Dic9C2311yescharacteristic
358C4⋊Dic9C2311yescharacteristic
359Dic9⋊C4C2311yescharacteristic
360Dic9⋊C4C2311yescharacteristic
361Dic9⋊C4C2311yescharacteristic
362Dic9⋊C4C2311yescharacteristic
363Dic9⋊C4C2311yescharacteristic
364Dic9⋊C4C2311yescharacteristic
365Dic9⋊C4C2311yescharacteristic
366Dic9⋊C4C2311yescharacteristic
367Dic9⋊C4C2311yescharacteristic
368Dic9⋊C4C2311yescharacteristic
369Dic9⋊C4C2311yescharacteristic
370Dic9⋊C4C2311yescharacteristic
371Dic9⋊C4C2311yescharacteristic
372Dic9⋊C4C2311yescharacteristic
373Dic9⋊C4C2311yescharacteristic
374Dic9⋊C4C2311yescharacteristic
375Dic9⋊C4C2311yescharacteristic
376Dic9⋊C4C2311yescharacteristic
377Dic9⋊C4C2311yescharacteristic
378Dic9⋊C4C2311yescharacteristic
379Dic9⋊C4C2311yescharacteristic
380Dic9⋊C4C2311yescharacteristic
381C4×Dic9C2311yescharacteristic
382C4×Dic9C2311yescharacteristic
383C4×Dic9C2311yescharacteristic
384C4×Dic9C2311yescharacteristic
385C4×Dic9C2311yescharacteristic
386#3534—91noSylow
387C22×C3×D4C2×D311yescharacteristic
388C22×C3×D4C2×D311yescharacteristic
389C22×C3×D4C2×D311yescharacteristic
390C22×C3×D4C2×D311yescharacteristic
391C22×#67—31no—
392C22×#67—31no—
393C22×#67—31no—
394C23×Dic3—31no—
395C2×#237—31no—
396C2×#237—31no—
397C2×#237—31no—
398C2×D3×D4—31no—
399C3×#127C2×D311yescharacteristic
400C3×#121C2×D311yescharacteristic
401C3×#121C2×D311yescharacteristic
402C3×#121C2×D311yescharacteristic
403C3×#121C2×D311yescharacteristic
404C3×#120C2×D311yescharacteristic
405C3×#120C2×D311yescharacteristic
406C3×#120C2×D311yescharacteristic
407C3×#120C2×D311yescharacteristic
408C3×C4×D4C2×D311yescharacteristic
409C3×C4×D4C2×D311yescharacteristic
410#953—31no—
411#953—31no—
412#953—31no—
413#953—31no—
414#953—31no—
415#953—31no—
416C2×#217—31no—
417C2×#217—31no—
418C2×#217—31no—
419C2×#217—31no—
420C2×#217—31no—
421C2×#217—31no—
422#940—31no—
423#939—31no—
424#939—31no—
425#939—31no—
426#939—31no—
427#939—31no—
428#939—31no—
429#939—31no—
430#939—31no—
431#939—31no—
432#939—31no—
433#939—31no—
434#939—31no—
435#939—31no—
436#939—31no—
437#939—31no—
438#939—31no—
439#939—31no—
440#939—31no—
441#939—31no—
442#939—31no—
443#939—31no—
444#939—31no—
445#938—31no—
446#938—31no—
447#938—31no—
448#938—31no—
449#938—31no—
450#938—31no—
451#937—31no—
452#937—31no—
453#937—31no—
454#937—31no—
455#937—31no—
456#937—31no—
457#936—31no—
458#936—31no—
459#936—31no—
460#935—31no—
461#935—31no—
462#935—31no—
463#935—31no—
464#935—31no—
465#935—31no—
466#935—31no—
467#935—31no—
468#935—31no—
469#935—31no—
470#935—31no—
471#935—31no—
472#935—31no—
473#935—31no—
474#935—31no—
475#935—31no—
476D4×Dic3—31no—
477D4×Dic3—31no—
478D4×Dic3—31no—
479D4×Dic3—31no—
480D4×Dic3—31no—
481D4×Dic3—31no—
482#930—31no—
483#929—31no—
484#929—31no—
485#929—31no—
486#929—31no—
487C4×#67—31no—
488C4×#67—31no—
489C4×#67—31no—
490C4×#67—31no—
491C2×(C2×D3)⋊C4—31no—
492#924—31no—
493#924—31no—
494#924—31no—
495C2×Dic3⋊C4—31no—
496C2×Dic3⋊C4—31no—
497C2×Dic3⋊C4—31no—
498#898—31no—
499#896—31no—
500#896—31no—
501#896—31no—
502#894—31no—
503#889—31no—
504#889—31no—
505#889—31no—
506#886—31no—
507#886—31no—
508#885—31no—
509#885—31no—
510#885—31no—
511#884—31no—
512#884—31no—
513#884—31no—
514#883—31no—
515#883—31no—
516#883—31no—
517#883—31no—
518#883—31no—
519#67⋊C4—31no—
520#67⋊C4—31no—
521#67⋊C4—31no—
522#67⋊C4—31no—
523D3×C22⋊C4—31no—
524D3×C22⋊C4—31no—
525#879—31no—
526#879—31no—
527#879—31no—
528#879—31no—
529#879—31no—
530#878—31no—
531#878—31no—
532#878—31no—
533#878—31no—
534#878—31no—
535#878—31no—
536#877—31no—
537#877—31no—
538#876—31no—
539#876—31no—
540#872—31no—
541#870—31no—
542C23×C9—22no—
543C23×C9—22no—
544C23×C9—22no—
545C23×C9—22no—
546C23×C9—41no—
547C23×C9—41no—
548C23×C9—41no—
549C23×C9—41no—
550C23×C9—41no—
551C23×C9—41no—
552C23×C9—41no—
553C23×C9—41no—
554C23×C9C2411yescharacteristic
555C23×C9C2411yescharacteristic
556C23×C9C2411yescharacteristic
557C23×C9C2411yescharacteristic
558C23×C9C2411yescharacteristic
559C23×C9C2411yescharacteristic
560C23×C9C2411yescharacteristic
561C23×C9C2411yescharacteristic
562C22×D9—22no—
563C22×D9—41no—
564C22×D9—41no—
565C22×D9—41no—
566C22×D9—41no—
567C22×D9—41no—
568C22×D9C2411yescharacteristic
569C22×D9C2411yescharacteristic
570C22×D9C2411yescharacteristic
571D4×C9—22no—
572D4×C9—22no—
573D4×C9—22no—
574D4×C9—22no—
575D4×C9—22no—
576D4×C9—22no—
577D4×C9—41no—
578D4×C9—41no—
579D4×C9—41no—
580D4×C9—41no—
581D4×C9—41no—
582D4×C9—41no—
583D4×C9—41no—
584D4×C9—41no—
585D4×C9—41no—
586D4×C9—41no—
587C2×C4×C9—41no—
588C2×C4×C9—41no—
589C2×C4×C9—41no—
590C2×C4×C9—41no—
591C2×C4×C9C2411yescharacteristic
592C2×C4×C9C2411yescharacteristic
593C2×C4×C9C2411yescharacteristic
594C2×C4×C9C2411yescharacteristic
595C2×C4×C9C2411yescharacteristic
596C2×C4×C9C2411yescharacteristic
597C2×C4×C9C2411yescharacteristic
598#611—22no—
599#611—22no—
600#611—22no—
601#611—22no—
602#611—41no—
603#611—41no—
604#611—41no—
605#611—41no—
606#611—41no—
607#611—41no—
608#611—41no—
609#611—41no—
610#611—41no—
611#611—41no—
612#611—41no—
613#611—41no—
614#611—41no—
615#611—41no—
616#611—41no—
617#611—41no—
618C2×Dic9—22no—
619C2×Dic9—22no—
620C2×Dic9—22no—
621C2×Dic9—41no—
622C2×Dic9—41no—
623C2×Dic9—41no—
624C2×Dic9—41no—
625C2×Dic9—41no—
626C2×Dic9—41no—
627C2×Dic9—41no—
628C2×Dic9—41no—
629C2×Dic9—41no—
630C2×Dic9—41no—
631C2×Dic9—41no—
632C2×Dic9C2411yescharacteristic
633C2×Dic9C2411yescharacteristic
634C2×Dic9C2411yescharacteristic
635C2×Dic9C2411yescharacteristic
636C2×Dic9C2411yescharacteristic
637C2×Dic9C2411yescharacteristic
638C2×Dic9C2411yescharacteristic
639C2×Dic9C2411yescharacteristic
640C2×Dic9C2411yescharacteristic
641C2×Dic9C2411yescharacteristic
642C2×Dic9C2411yescharacteristic
643C2×Dic9C2411yescharacteristic
644C2×Dic9C2411yescharacteristic
645D36—41no—
646C4×D9—41no—
647C4×D9—41no—
648C4×D9—41no—
649C4×D9—41no—
650C4×D9—41no—
651Dic18—41no—
652Dic18—41no—
653Dic18—41no—
654#562—91no—
655#562—91no—
656#560—91no—
657#560—91no—
658#553—91no—
659#553—91no—
660#551—91no—
661#551—91no—
662#546—91no—
663#546—91no—
664#546—91no—
665#546—91no—
666#546—91no—
667#546—91no—
668D42—91no—
669D42D911yescharacteristic, complemented
670#540—91no—
671#540—91no—
672#539—91no—
673#539—91no—
674#539—91no—
675#538—91no—
676#538—91no—
677#538—91no—
678#537—91no—
679#534—91no—
680#534—91no—
681#534—91no—
682#525—91no—
683C2×#123—91no—
684C2×#121—91no—
685C24×C3C22×D311yescharacteristic
686C24×C3C22×D311yescharacteristic
687C24×C3C22×D311yescharacteristic
688C24×C3C22×D311yescharacteristic
689C23×D3—31no—
690C23×D3—31no—
691C2×C3×D4—42no—
692C2×C3×D4—42no—
693C2×C3×D4—42no—
694C2×C3×D4—42no—
695C2×C3×D4C22×D311yescharacteristic
696C2×C3×D4C22×D311yescharacteristic
697C2×C3×D4C22×D311yescharacteristic
698C2×C3×D4C22×D311yescharacteristic
699C2×C3×D4C22×D311yescharacteristic
700C2×C3×D4C22×D311yescharacteristic
701C2×C3×D4C22×D311yescharacteristic
702C2×C3×D4C22×D311yescharacteristic
703C2×C3×D4C22×D311yescharacteristic
704C2×C3×D4C22×D311yescharacteristic
705C2×C3×D4C22×D311yescharacteristic
706C2×C3×D4C22×D311yescharacteristic
707C2×C3×D4C22×D311yescharacteristic
708C2×C3×D4C22×D311yescharacteristic
709C2×C3×D4C22×D311yescharacteristic
710C2×C3×D4C22×D311yescharacteristic
711C22×C3×C4C22×D311yescharacteristic
712C22×C3×C4C22×D311yescharacteristic
713C22×C3×C4C22×D311yescharacteristic
714C22×C3×C4C22×D311yescharacteristic
715C2×#67—31no—
716C2×#67—31no—
717C2×#67—31no—
718C2×#67—31no—
719C2×#67—31no—
720C2×#67—31no—
721C2×#67—31no—
722C2×#67—31no—
723C2×#67—31no—
724C2×#67—31no—
725C2×#67—31no—
726C2×#67—31no—
727C2×#67—31no—
728C2×#67—31no—
729C2×#67—31no—
730C2×#67—31no—
731C2×#67—31no—
732C2×#67—31no—
733C2×#67—31no—
734C2×#67—31no—
735C2×#67—122no—
736C2×#67—122no—
737C2×#67—122no—
738C22×Dic3—31no—
739C22×Dic3—31no—
740C22×Dic3—31no—
741C22×Dic3—31no—
742C22×Dic3—31no—
743C22×Dic3—31no—
744C22×Dic3—31no—
745C22×Dic3—31no—
746C22×Dic3—31no—
747C22×Dic3—31no—
748C22×Dic3—31no—
749C22×Dic3—31no—
750C22×Dic3—31no—
751C22×Dic3—31no—
752C22×Dic3—122no—
753#237—122no—
754#237—122no—
755#237—122no—
756D3×D4—122no—
757C2×D12—31no—
758C2×C4×D3—31no—
759C2×C4×D3—31no—
760C2×C4×D3—31no—
761C2×C4×D3—31no—
762C2×C4×D3—31no—
763C2×Dic6—31no—
764C2×Dic6—31no—
765C2×Dic6—31no—
766C3×C4⋊C4C22×D311yescharacteristic
767C3×C4⋊C4C22×D311yescharacteristic
768C3×C22⋊C4C22×D311yescharacteristic
769C3×C22⋊C4C22×D311yescharacteristic
770C3×C22⋊C4C22×D311yescharacteristic
771C3×C22⋊C4C22×D311yescharacteristic
772C3×C22⋊C4C22×D311yescharacteristic
773C3×C22⋊C4C22×D311yescharacteristic
774C3×C22⋊C4C22×D311yescharacteristic
775C3×C22⋊C4C22×D311yescharacteristic
776C3×C42C22×D311yescharacteristic
777#217—31no—
778#217—31no—
779#217—31no—
780#217—31no—
781#217—31no—
782#217—31no—
783#217—31no—
784#217—31no—
785#217—31no—
786#217—31no—
787#217—31no—
788#217—31no—
789#217—31no—
790#217—31no—
791#217—31no—
792#217—31no—
793#217—31no—
794#217—31no—
795#217—31no—
796#217—31no—
797#217—31no—
798#217—31no—
799#217—31no—
800#217—31no—
801#217—31no—
802#217—31no—
803#217—31no—
804#217—31no—
805(C2×D3)⋊C4—31no—
806(C2×D3)⋊C4—31no—
807(C2×D3)⋊C4—31no—
808(C2×D3)⋊C4—31no—
809(C2×D3)⋊C4—31no—
810(C2×D3)⋊C4—31no—
811(C2×D3)⋊C4—31no—
812(C2×D3)⋊C4—31no—
813(C2×D3)⋊C4—31no—
814(C2×D3)⋊C4—31no—
815(C2×D3)⋊C4—31no—
816(C2×D3)⋊C4—31no—
817(C2×D3)⋊C4—31no—
818(C2×D3)⋊C4—31no—
819C4⋊Dic3—31no—
820C4⋊Dic3—31no—
821C4⋊Dic3—31no—
822C4⋊Dic3—31no—
823C4⋊Dic3—31no—
824C4⋊Dic3—31no—
825Dic3⋊C4—31no—
826Dic3⋊C4—31no—
827Dic3⋊C4—31no—
828Dic3⋊C4—31no—
829Dic3⋊C4—31no—
830Dic3⋊C4—31no—
831Dic3⋊C4—31no—
832Dic3⋊C4—31no—
833Dic3⋊C4—31no—
834Dic3⋊C4—31no—
835Dic3⋊C4—31no—
836Dic3⋊C4—31no—
837Dic3⋊C4—31no—
838Dic3⋊C4—31no—
839Dic3⋊C4—31no—
840Dic3⋊C4—31no—
841Dic3⋊C4—31no—
842Dic3⋊C4—31no—
843Dic3⋊C4—31no—
844Dic3⋊C4—31no—
845Dic3⋊C4—31no—
846Dic3⋊C4—31no—
847C4×Dic3—31no—
848C4×Dic3—31no—
849C4×Dic3—31no—
850C4×Dic3—31no—
851C4×Dic3—31no—
852C22×C9—21no—
853C22×C9—21no—
854C22×C9—21no—
855C22×C9—21no—
856C22×C9—21no—
857C22×C9—21no—
858C22×C9—21no—
859C22×C9—21no—
860C22×C9—21no—
861C22×C9—21no—
862C22×C9—21no—
863C22×C9—21no—
864C22×C9—21no—
865C22×C9—21no—
866C22×C9—21no—
867C22×C9—21no—
868C22×C9—21no—
869C22×C9—21no—
870C22×C9—21no—
871C22×C9—21no—
872C22×C9—21no—
873C22×C9—21no—
874C22×C9—44no—
875C22×C9—82no—
876C22×C9—82no—
877C22×C9—82no—
878C22×C9H(5,𝔽2)12yes—
879C22×C9H(5,𝔽2)12yes—
880C22×C9C2511yescharacteristic
881C2×D9—21no—
882C2×D9—21no—
883C2×D9—21no—
884C2×D9—21no—
885C2×D9—21no—
886C2×D9—21no—
887C2×D9—21no—
888C2×D9—21no—
889C2×D9—21no—
890C2×D9—82no—
891C2×D9—82no—
892C4×C9—21no—
893C4×C9—21no—
894C4×C9—21no—
895C4×C9—21no—
896C4×C9—21no—
897C4×C9—21no—
898C4×C9—21no—
899Dic9—21no—
900Dic9—21no—
901Dic9—21no—
902Dic9—21no—
903Dic9—21no—
904Dic9—21no—
905Dic9—21no—
906Dic9—21no—
907Dic9—21no—
908Dic9—21no—
909Dic9—21no—
910Dic9—21no—
911Dic9—21no—
912C2×#41—91no—
913C2×#41—91no—
914C2×#41—91no—
915C22×D4—91no—
916C22×D4—91no—
917C22×D4—91no—
918C22×D4—91no—
919C22×D4C2×D911yescharacteristic
920C22×D4C2×D911yescharacteristic, complemented
921C22×D4C2×D911yescharacteristic, complemented
922C22×D4C2×D911yescharacteristic, complemented
923C23×C4—91no—
924#127—91no—
925#127C2×D911yescharacteristic, complemented
926#126—91no—
927#126—91no—
928#126—91no—
929#126—91no—
930#126—91no—
931#126—91no—
932#126—91no—
933#126—91no—
934#125—91no—
935#125—91no—
936#125—91no—
937#125—91no—
938#124—91no—
939#124—91no—
940#124—91no—
941#124—91no—
942#124—91no—
943#124—91no—
944#123—91no—
945#123—91no—
946#123—91no—
947#123—91no—
948#123—91no—
949#123—91no—
950#123—91no—
951#123—91no—
952#123—91no—
953#123—91no—
954#123—91no—
955#123—91no—
956#123—91no—
957#123—91no—
958#123—91no—
959#123—91no—
960#123—91no—
961#123—91no—
962#123—91no—
963#123—91no—
964#123—91no—
965#123—91no—
966#123—91no—
967#123—91no—
968#123—91no—
969#123—91no—
970#123—91no—
971#123—91no—
972C22⋊Q8—91no—
973C22⋊Q8—91no—
974C22⋊Q8—91no—
975C22⋊Q8—91no—
976C22⋊Q8—91no—
977C22⋊Q8—91no—
978C22⋊Q8—91no—
979C22⋊Q8—91no—
980C22⋊Q8—91no—
981C22⋊Q8—91no—
982C22⋊Q8—91no—
983C22⋊Q8—91no—
984#121—91no—
985#121—91no—
986#121—91no—
987#121—91no—
988#121—91no—
989#121—91no—
990#121—91no—
991#121—91no—
992#121—91no—
993#121—91no—
994#121—91no—
995#121—91no—
996#121—91no—
997#121—91no—
998#121—91no—
999#121—91no—
1000#121—91no—
1001#121—91no—
1002#121—91no—
1003#121—91no—
1004#121—91no—
1005#121—91no—
1006#121—91no—
1007#121—91no—
1008#121—91no—
1009#121—91no—
1010#121—91no—
1011#121—91no—
1012#121—91no—
1013#121—91no—
1014#121—91no—
1015#121—91no—
1016#121C2×D911yescharacteristic
1017#121C2×D911yescharacteristic, complemented
1018#121C2×D911yescharacteristic, complemented
1019#121C2×D911yescharacteristic, complemented
1020#120—91no—
1021#120—91no—
1022#120—91no—
1023#120—91no—
1024#120—91no—
1025#120—91no—
1026#120—91no—
1027#120—91no—
1028#120—91no—
1029#120—91no—
1030#120—91no—
1031#120—91no—
1032#120C2×D911yescharacteristic
1033#120C2×D911yescharacteristic, complemented
1034#120C2×D911yescharacteristic, complemented
1035#120C2×D911yescharacteristic, complemented
1036C4×D4—91no—
1037C4×D4—91no—
1038C4×D4—91no—
1039C4×D4—91no—
1040C4×D4—91no—
1041C4×D4—91no—
1042C4×D4—91no—
1043C4×D4—91no—
1044C4×D4—91no—
1045C4×D4—91no—
1046C4×D4—91no—
1047C4×D4—91no—
1048C4×D4—91no—
1049C4×D4—91no—
1050C4×D4C2×D911yescharacteristic, complemented
1051C4×D4C2×D911yescharacteristic, complemented
1052#117—91no—
1053#117—91no—
1054#117—91no—
1055C2×C4⋊C4—91no—
1056C2×C4⋊C4—91no—
1057C2×C4⋊C4—91no—
1058C2×C22⋊C4—91no—
1059C2×C22⋊C4—91no—
1060C2×C22⋊C4—91no—
1061C2×C22⋊C4—91no—
1062C2×C22⋊C4—91no—
1063C2×C22⋊C4—91no—
1064C2×C22⋊C4—91no—
1065C2×C22⋊C4—91no—
1066C2×C22⋊C4—91no—
1067C23×C3—22no—
1068C23×C3—22no—
1069C23×C3—22no—
1070C23×C3—22no—
1071C23×C3—41no—
1072C23×C3—41no—
1073C23×C3—41no—
1074C23×C3—41no—
1075C23×C3—41no—
1076C23×C3—41no—
1077C23×C3—41no—
1078C23×C3—41no—
1079C23×C3C23×D311yescharacteristic
1080C23×C3C23×D311yescharacteristic
1081C23×C3C23×D311yescharacteristic
1082C23×C3C23×D311yescharacteristic
1083C23×C3C23×D311yescharacteristic
1084C23×C3C23×D311yescharacteristic
1085C23×C3C23×D311yescharacteristic
1086C23×C3C23×D311yescharacteristic
1087C22×D3—31no—
1088C22×D3—31no—
1089C22×D3—31no—
1090C22×D3—62no—
1091C22×D3—121no—
1092C22×D3—121no—
1093C22×D3—121no—
1094C22×D3—121no—
1095C22×D3—121no—
1096C3×D4—22no—
1097C3×D4—22no—
1098C3×D4—22no—
1099C3×D4—22no—
1100C3×D4—22no—
1101C3×D4—22no—
1102C3×D4—41no—
1103C3×D4—41no—
1104C3×D4—41no—
1105C3×D4—41no—
1106C3×D4—41no—
1107C3×D4—41no—
1108C3×D4—41no—
1109C3×D4—41no—
1110C3×D4—41no—
1111C3×D4—41no—
1112C2×C3×C4—41no—
1113C2×C3×C4—41no—
1114C2×C3×C4—41no—
1115C2×C3×C4—41no—
1116C2×C3×C4C23×D311yescharacteristic
1117C2×C3×C4C23×D311yescharacteristic
1118C2×C3×C4C23×D311yescharacteristic
1119C2×C3×C4C23×D311yescharacteristic
1120C2×C3×C4C23×D311yescharacteristic
1121C2×C3×C4C23×D311yescharacteristic
1122C2×C3×C4C23×D311yescharacteristic
1123#67—62no—
1124#67—62no—
1125#67—62no—
1126#67—62no—
1127#67—121no—
1128#67—121no—
1129#67—121no—
1130#67—121no—
1131#67—121no—
1132#67—121no—
1133#67—121no—
1134#67—121no—
1135#67—121no—
1136#67—121no—
1137#67—121no—
1138#67—121no—
1139#67—121no—
1140#67—121no—
1141#67—121no—
1142#67—121no—
1143C2×Dic3—31no—
1144C2×Dic3—31no—
1145C2×Dic3—31no—
1146C2×Dic3—31no—
1147C2×Dic3—31no—
1148C2×Dic3—31no—
1149C2×Dic3—31no—
1150C2×Dic3—31no—
1151C2×Dic3—31no—
1152C2×Dic3—31no—
1153C2×Dic3—31no—
1154C2×Dic3—31no—
1155C2×Dic3—31no—
1156C2×Dic3—62no—
1157C2×Dic3—62no—
1158C2×Dic3—62no—
1159C2×Dic3—121no—
1160C2×Dic3—121no—
1161C2×Dic3—121no—
1162C2×Dic3—121no—
1163C2×Dic3—121no—
1164C2×Dic3—121no—
1165C2×Dic3—121no—
1166C2×Dic3—121no—
1167C2×Dic3—121no—
1168C2×Dic3—121no—
1169C2×Dic3—121no—
1170D12—121no—
1171C4×D3—121no—
1172C4×D3—121no—
1173C4×D3—121no—
1174C4×D3—121no—
1175C4×D3—121no—
1176Dic6—121no—
1177Dic6—121no—
1178Dic6—121no—
1179C2×C9—22no—
1180C2×C9—22no—
1181C2×C9—41no—
1182C2×C9—41no—
1183C2×C9—41no—
1184C2×C9—41no—
1185C2×C9—41no—
1186C2×C9—41no—
1187C2×C9C2×H(5,𝔽2)11yescharacteristic
1188C2×C9C2×H(5,𝔽2)11yescharacteristic
1189C2×C9#58511yescharacteristic
1190D9—41no—
1191D9—41no—
1192D9—41no—
1193C24—91no—
1194C24—91no—
1195C24C22×D911yescharacteristic
1196C24C22×D911yescharacteristic
1197C24C22×D911yescharacteristic
1198C24C22×D911yescharacteristic
1199#41—362no—
1200#41—362no—
1201#41—362no—
1202C2×Q8—91no—
1203C2×Q8—91no—
1204C2×Q8—91no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—91no—
1210C2×D4—91no—
1211C2×D4—91no—
1212C2×D4—91no—
1213C2×D4—91no—
1214C2×D4—91no—
1215C2×D4—91no—
1216C2×D4—91no—
1217C2×D4—91no—
1218C2×D4—91no—
1219C2×D4—91no—
1220C2×D4—91no—
1221C2×D4—91no—
1222C2×D4—91no—
1223C2×D4—91no—
1224C2×D4—91no—
1225C2×D4—91no—
1226C2×D4—91no—
1227C2×D4—91no—
1228C2×D4—91no—
1229C2×D4—91no—
1230C2×D4—362no—
1231C2×D4—362no—
1232C2×D4—362no—
1233C2×D4—362no—
1234C2×D4C22×D911yescharacteristic
1235C2×D4C22×D911yescharacteristic
1236C2×D4C22×D911yescharacteristic
1237C2×D4C22×D911yescharacteristic
1238C2×D4C22×D911yescharacteristic
1239C2×D4C22×D911yescharacteristic
1240C2×D4C22×D911yescharacteristic
1241C2×D4C22×D911yescharacteristic
1242C2×D4C22×D911yescharacteristic
1243C2×D4C22×D911yescharacteristic
1244C2×D4C22×D911yescharacteristic
1245C2×D4C22×D911yescharacteristic
1246C2×D4C22×D911yescharacteristic
1247C2×D4C22×D911yescharacteristic
1248C2×D4C22×D911yescharacteristic
1249C2×D4C22×D911yescharacteristic
1250C22×C4—91no—
1251C22×C4—91no—
1252C22×C4—91no—
1253C22×C4—91no—
1254C22×C4—91no—
1255C22×C4—91no—
1256C22×C4—91no—
1257C22×C4—91no—
1258C22×C4—91no—
1259C22×C4—91no—
1260C22×C4—91no—
1261C22×C4—91no—
1262C22×C4—91no—
1263C22×C4—91no—
1264C22×C4—91no—
1265C22×C4—91no—
1266C22×C4—91no—
1267C22×C4—91no—
1268C22×C4—91no—
1269C22×C4—362no—
1270C22×C4C22×D911yescharacteristic
1271C22×C4C22×D911yescharacteristic
1272C22×C4C22×D911yescharacteristic
1273C22×C4C22×D911yescharacteristic
1274C4⋊C4—91no—
1275C4⋊C4—91no—
1276C4⋊C4—91no—
1277C4⋊C4—91no—
1278C4⋊C4—91no—
1279C4⋊C4—91no—
1280C4⋊C4—91no—
1281C4⋊C4—91no—
1282C4⋊C4—91no—
1283C4⋊C4—91no—
1284C4⋊C4—91no—
1285C4⋊C4—91no—
1286C4⋊C4—91no—
1287C4⋊C4—91no—
1288C4⋊C4—91no—
1289C4⋊C4—91no—
1290C4⋊C4—91no—
1291C4⋊C4—91no—
1292C4⋊C4—91no—
1293C4⋊C4—91no—
1294C4⋊C4—91no—
1295C4⋊C4—91no—
1296C4⋊C4—91no—
1297C4⋊C4—91no—
1298C4⋊C4—91no—
1299C4⋊C4—91no—
1300C4⋊C4—91no—
1301C4⋊C4—91no—
1302C4⋊C4C22×D911yescharacteristic
1303C4⋊C4C22×D911yescharacteristic
1304C22⋊C4—91no—
1305C22⋊C4—91no—
1306C22⋊C4—91no—
1307C22⋊C4—91no—
1308C22⋊C4—91no—
1309C22⋊C4—91no—
1310C22⋊C4—91no—
1311C22⋊C4—91no—
1312C22⋊C4—91no—
1313C22⋊C4—91no—
1314C22⋊C4—91no—
1315C22⋊C4—91no—
1316C22⋊C4—91no—
1317C22⋊C4—91no—
1318C22⋊C4—91no—
1319C22⋊C4—91no—
1320C22⋊C4—91no—
1321C22⋊C4—91no—
1322C22⋊C4—91no—
1323C22⋊C4—91no—
1324C22⋊C4—91no—
1325C22⋊C4—91no—
1326C22⋊C4—91no—
1327C22⋊C4—91no—
1328C22⋊C4—91no—
1329C22⋊C4—91no—
1330C22⋊C4—91no—
1331C22⋊C4—91no—
1332C22⋊C4—91no—
1333C22⋊C4—91no—
1334C22⋊C4—91no—
1335C22⋊C4—91no—
1336C22⋊C4—91no—
1337C22⋊C4—91no—
1338C22⋊C4—91no—
1339C22⋊C4—91no—
1340C22⋊C4—91no—
1341C22⋊C4—91no—
1342C22⋊C4—91no—
1343C22⋊C4—91no—
1344C22⋊C4—91no—
1345C22⋊C4—91no—
1346C22⋊C4C22×D911yescharacteristic
1347C22⋊C4C22×D911yescharacteristic
1348C22⋊C4C22×D911yescharacteristic
1349C22⋊C4C22×D911yescharacteristic
1350C22⋊C4C22×D911yescharacteristic
1351C22⋊C4C22×D911yescharacteristic
1352C22⋊C4C22×D911yescharacteristic
1353C22⋊C4C22×D911yescharacteristic
1354C42—91no—
1355C42—91no—
1356C42—91no—
1357C42—91no—
1358C42—91no—
1359C42C22×D911yescharacteristic
1360C22×C3—21no—
1361C22×C3—21no—
1362C22×C3—21no—
1363C22×C3—21no—
1364C22×C3—21no—
1365C22×C3—21no—
1366C22×C3—21no—
1367C22×C3—21no—
1368C22×C3—21no—
1369C22×C3—21no—
1370C22×C3—21no—
1371C22×C3—21no—
1372C22×C3—21no—
1373C22×C3—21no—
1374C22×C3—21no—
1375C22×C3—21no—
1376C22×C3—21no—
1377C22×C3—21no—
1378C22×C3—21no—
1379C22×C3—21no—
1380C22×C3—21no—
1381C22×C3—21no—
1382C22×C3—44no—
1383C22×C3—82no—
1384C22×C3—82no—
1385C22×C3—82no—
1386C22×C3#100412yes—
1387C22×C3#100412yes—
1388C22×C3C24×D311yescharacteristic
1389C2×D3—61no—
1390C2×D3—61no—
1391C2×D3—61no—
1392C2×D3—61no—
1393C2×D3—61no—
1394C2×D3—61no—
1395C2×D3—61no—
1396C2×D3—61no—
1397C2×D3—61no—
1398C2×D3—242no—
1399C2×D3—242no—
1400C3×C4—21no—
1401C3×C4—21no—
1402C3×C4—21no—
1403C3×C4—21no—
1404C3×C4—21no—
1405C3×C4—21no—
1406C3×C4—21no—
1407Dic3—61no—
1408Dic3—61no—
1409Dic3—61no—
1410Dic3—61no—
1411Dic3—61no—
1412Dic3—61no—
1413Dic3—61no—
1414Dic3—61no—
1415Dic3—61no—
1416Dic3—61no—
1417Dic3—61no—
1418Dic3—61no—
1419Dic3—61no—
1420C9#353411yescharacteristic, complemented, Sylow
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—91no—
1434C23—91no—
1435C23—91no—
1436C23—182no—
1437C23—361no—
1438C23—361no—
1439C23—361no—
1440C23—361no—
1441C23—361no—
1442C23C23×D911yescharacteristic
1443C23C23×D911yescharacteristic
1444C23C23×D911yescharacteristic
1445C23C23×D911yescharacteristic
1446C23C23×D911yescharacteristic
1447C23C23×D911yescharacteristic
1448C23C23×D911yescharacteristic
1449C23C23×D911yescharacteristic
1450Q8—361no—
1451Q8—361no—
1452Q8—361no—
1453D4—22no—
1454D4—22no—
1455D4—22no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—182no—
1470D4—182no—
1471D4—182no—
1472D4—182no—
1473D4—361no—
1474D4—361no—
1475D4—361no—
1476D4—361no—
1477D4—361no—
1478D4—361no—
1479D4—361no—
1480D4—361no—
1481D4—361no—
1482D4—361no—
1483D4—361no—
1484D4—361no—
1485D4—361no—
1486D4—361no—
1487D4—361no—
1488D4—361no—
1489D4—361no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—91no—
1495C2×C4—91no—
1496C2×C4—91no—
1497C2×C4—91no—
1498C2×C4—91no—
1499C2×C4—91no—
1500C2×C4—91no—
1501C2×C4—91no—
1502C2×C4—91no—
1503C2×C4—91no—
1504C2×C4—91no—
1505C2×C4—91no—
1506C2×C4—91no—
1507C2×C4—182no—
1508C2×C4—182no—
1509C2×C4—182no—
1510C2×C4—361no—
1511C2×C4—361no—
1512C2×C4—361no—
1513C2×C4—361no—
1514C2×C4—361no—
1515C2×C4—361no—
1516C2×C4—361no—
1517C2×C4—361no—
1518C2×C4—361no—
1519C2×C4—361no—
1520C2×C4—361no—
1521C2×C4—361no—
1522C2×C4—361no—
1523C2×C4—361no—
1524C2×C4—361no—
1525C2×C4—361no—
1526C2×C4C23×D911yescharacteristic
1527C2×C4C23×D911yescharacteristic
1528C2×C4C23×D911yescharacteristic
1529C2×C4C23×D911yescharacteristic
1530C2×C4C23×D911yescharacteristic
1531C2×C4C23×D911yescharacteristic
1532C2×C4C23×D911yescharacteristic
1533C2×C3—22no—
1534C2×C3—22no—
1535C2×C3—41no—
1536C2×C3—41no—
1537C2×C3—41no—
1538C2×C3—41no—
1539C2×C3—41no—
1540C2×C3—41no—
1541C2×C3C2×#100411yescharacteristic
1542C2×C3C2×#100411yescharacteristic
1543C2×C3#596611yescharacteristic
1544D3—121no—
1545D3—121no—
1546D3—121no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—21no—
1561C22—21no—
1562C22—21no—
1563C22—21no—
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—44no—
1570C22—82no—
1571C22—82no—
1572C22—82no—
1573C22—181no—
1574C22—181no—
1575C22—181no—
1576C22—181no—
1577C22—181no—
1578C22—181no—
1579C22—181no—
1580C22—181no—
1581C22—181no—
1582C22—722no—
1583C22—722no—
1584C22#6371012yes—
1585C22#6371012yes—
1586C22C24×D911yescharacteristic
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—181no—
1595C4—181no—
1596C4—181no—
1597C4—181no—
1598C4—181no—
1599C4—181no—
1600C4—181no—
1601C4—181no—
1602C4—181no—
1603C4—181no—
1604C4—181no—
1605C4—181no—
1606C4—181no—
1607C3#8661311yescharacteristic
1608C2—22no—
1609C2—22no—
1610C2—41no—
1611C2—41no—
1612C2—41no—
1613C2—41no—
1614C2—41no—
1615C2—41no—
1616C2—361no—
1617C2—361no—
1618C2—361no—
1619C2C2×#6371011yescharacteristic
1620C2C2×#6371011yescharacteristic
1621C2#1059314111yescharacteristic
subgroupG/H
centerC22C24×D9
commutator, cosocleC22×C9C25
Frattini, socleC22×C3C24×D3
FittingD42×C9C2
hypercenterD42D9
hypocenterC9#3534
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. D42×C9C2semidirect
2. #10589908C2semidirect
3. #10589908C2semidirect
4. #10589908C2semidirect
5. #10589906C2semidirect
6. #10589906C2semidirect
7. C2×#63501C2semidirect
8. D4×#611C2semidirect
9. C2×#63497C2semidirect
10. #10589822C2semidirect
11. #10589821C2semidirect
12. #10589723C2semidirect
13. #10589723C2semidirect
14. #10589717C2semidirect
15. #10589715C2semidirect
16. #10589712C2semidirect
17. #10589704C2semidirect
18. #10589703C2semidirect
19. #10589699C2semidirect
20. #10589697C2semidirect
21. #10589695C2semidirect
22. #10589695C2semidirect
23. #10589693C2semidirect
24. #10589693C2semidirect
25. #10589691C2semidirect
26. #10589689C2semidirect
27. #10589688C2semidirect
28. #10589666C2semidirect
29. #10589666C2semidirect
30. #10589658C2semidirect
31. #10589642C2semidirect
34. C22×D4×C9C22semidirect
35. C22×D4×C9C22semidirect
36. C22×D4×C9C22semidirect
37. C22×#611C22semidirect
38. C22×#611C22semidirect
39. C22×#611C22semidirect
40. C23×Dic9C22semidirect
41. C2×#3699C22semidirect
42. C2×#3699C22semidirect
43. C2×#3699C22semidirect
44. C2×D4×D9C22semidirect
45. C9×#127C22semidirect
47. C9×#121C22semidirect
48. C9×#121C22semidirect
49. C9×#121C22semidirect
51. C9×#120C22semidirect
52. C9×#120C22semidirect
53. C9×#120C22semidirect
54. C4×D4×C9C22semidirect
55. C4×D4×C9C22semidirect
56. #63515C22semidirect
57. #63515C22semidirect
58. #63515C22semidirect
59. #63515C22semidirect
60. #63515C22semidirect
61. #63515C22semidirect
62. C2×#3676C22semidirect
63. C2×#3676C22semidirect
64. C2×#3676C22semidirect
65. C2×#3676C22semidirect
66. C2×#3676C22semidirect
67. C2×#3676C22semidirect
68. #63502C22semidirect
71. #63501C22semidirect
72. #63501C22semidirect
73. #63501C22semidirect
74. #63501C22semidirect
75. #63501C22semidirect
76. #63501C22semidirect
77. #63501C22semidirect
78. #63501C22semidirect
79. #63501C22semidirect
80. #63501C22semidirect
81. #63501C22semidirect
82. #63501C22semidirect
83. #63501C22semidirect
84. #63501C22semidirect
85. #63501C22semidirect
86. #63501C22semidirect
87. #63501C22semidirect
88. #63501C22semidirect
89. #63501C22semidirect
90. #63501C22semidirect
91. #63500C22semidirect
92. #63500C22semidirect
93. #63500C22semidirect
94. #63500C22semidirect
95. #63500C22semidirect
96. #63500C22semidirect
98. #63499C22semidirect
99. #63499C22semidirect
100. #63499C22semidirect
101. #63499C22semidirect
102. #63499C22semidirect
103. #63498C22semidirect
104. #63498C22semidirect
105. #63498C22semidirect
106. #63497C22semidirect
107. #63497C22semidirect
108. #63497C22semidirect
109. #63497C22semidirect
110. #63497C22semidirect
111. #63497C22semidirect
112. #63497C22semidirect
113. #63497C22semidirect
114. #63497C22semidirect
115. #63497C22semidirect
116. #63497C22semidirect
117. #63497C22semidirect
118. #63497C22semidirect
119. #63497C22semidirect
120. #63497C22semidirect
121. #63497C22semidirect
122. D4×Dic9C22semidirect
123. D4×Dic9C22semidirect
124. D4×Dic9C22semidirect
125. D4×Dic9C22semidirect
126. D4×Dic9C22semidirect
127. D4×Dic9C22semidirect
128. #63492C22semidirect
129. #63491C22semidirect
130. #63491C22semidirect
131. #63491C22semidirect
132. #63491C22semidirect
133. C4×#611C22semidirect
134. C4×#611C22semidirect
135. C4×#611C22semidirect
136. C4×#611C22semidirect
137. C2×(C2×D9)⋊C4C22semidirect
138. #63486C22semidirect
139. #63486C22semidirect
140. #63486C22semidirect
141. C2×Dic9⋊C4C22semidirect
142. C2×Dic9⋊C4C22semidirect
143. C2×Dic9⋊C4C22semidirect
144. #63460C22semidirect
145. #63458C22semidirect
146. #63458C22semidirect
147. #63458C22semidirect
148. #63456C22semidirect
149. #63451C22semidirect
150. #63451C22semidirect
151. #63451C22semidirect
152. #63448C22semidirect
153. #63448C22semidirect
154. #63447C22semidirect
155. #63447C22semidirect
156. #63447C22semidirect
157. #63446C22semidirect
158. #63446C22semidirect
159. #63446C22semidirect
160. #63445C22semidirect
161. #63445C22semidirect
162. #63445C22semidirect
163. #63445C22semidirect
164. #63445C22semidirect
165. #611⋊C4C22semidirect
166. #611⋊C4C22semidirect
167. #611⋊C4C22semidirect
168. #611⋊C4C22semidirect
169. C22⋊C4×D9C22semidirect
170. C22⋊C4×D9C22semidirect
171. #63441C22semidirect
172. #63441C22semidirect
173. #63441C22semidirect
174. #63441C22semidirect
175. #63441C22semidirect
176. #63440C22semidirect
177. #63440C22semidirect
178. #63440C22semidirect
179. #63440C22semidirect
180. #63440C22semidirect
181. #63440C22semidirect
182. #63439C22semidirect
183. #63439C22semidirect
184. #63438C22semidirect
185. #63438C22semidirect
186. #63434C22semidirect
187. #63432C22semidirect
669. D42D9semidirect
920. C22×D4C2×D9semidirect
921. C22×D4C2×D9semidirect
922. C22×D4C2×D9semidirect
925. #127C2×D9semidirect
1017. #121C2×D9semidirect
1018. #121C2×D9semidirect
1019. #121C2×D9semidirect
1033. #120C2×D9semidirect
1034. #120C2×D9semidirect
1035. #120C2×D9semidirect
1050. C4×D4C2×D9semidirect
1051. C4×D4C2×D9semidirect
1420. C9#3534semidirect

Maximal subgroups

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

subgroupindex
D42×C92
#105899082
#105899062
C2×#635012
D4×#6112
C2×#634972
#105898222
#105898212
#105897232
#105897172
#105897152
#105897122
#105897042
#105897032
#105896992
#105896972
#105896952
#105896932
#105896912
#105896892
#105896882
#105896662
#105896582
#105896422
#866133