Finite Group Databasebeta

← #11024605

Subgroups — #11024605

Order 768.

3064 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5608C211yesmaximal, characteristic, complemented
3C2×#5548C211yesmaximal, characteristic, complemented
4C2×#5507C211yesmaximal, characteristic, complemented
5C3×#2443C211yesmaximal, characteristic, complemented
6#82899C211yesmaximal, characteristic, complemented
7#82683C211yesmaximal, characteristic, complemented
8#82356C211yesmaximal, characteristic, complemented
9#82173C211yesmaximal, characteristic, complemented
10#78111C211yesmaximal, characteristic, complemented
11#78061C211yesmaximal, characteristic, complemented
12#77968C211yesmaximal, characteristic, complemented
13#77962C211yesmaximal, characteristic, complemented
14#77682C211yesmaximal, characteristic, complemented
15#77567C211yesmaximal, characteristic, complemented
16#77135C211yesmaximal, characteristic, complemented
17#77116C211yesmaximal, characteristic, complemented
18#75960C211yesmaximal, characteristic, complemented
19#75856C211yesmaximal, characteristic, complemented
20#75327C211yesmaximal, characteristic, complemented
21D3×#387C211yesmaximal, characteristic, complemented
22#74902C211yesmaximal, characteristic, complemented
23#74898C211yesmaximal, characteristic, complemented
24#74896C211yesmaximal, characteristic, complemented
25#74877C211yesmaximal, characteristic, complemented
26#74793C211yesmaximal, characteristic, complemented
27#74792C211yesmaximal, characteristic, complemented
28#74606C211yesmaximal, characteristic, complemented
29#74606C211yesmaximal, characteristic, complemented
30#74508C211yesmaximal, characteristic, complemented
31#74421C211yesmaximal, characteristic, complemented
32#37679—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C4⋊C4C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×#929C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic
54C2×#924C2211yescharacteristic
55C22×Dic3⋊C4C2211yescharacteristic
56#5655—28no—
57#5608—28no—
58#5548—28no—
59C2×#897C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic
62C2×#896C2211yescharacteristic
63#5507—28no—
64C2×#895C2211yescharacteristic
65C2×#895C2211yescharacteristic
66C2×#895C2211yescharacteristic
67C2×#894C2211yescharacteristic
68C2×#894C2211yescharacteristic
69C2×#894C2211yescharacteristic
70C2×#893C2211yescharacteristic
71C2×D3×C4⋊C4C2211yescharacteristic
72C2×D3×C4⋊C4C2211yescharacteristic
73C2×#888C2211yescharacteristic
74C2×#888C2211yescharacteristic
75C2×#888C2211yescharacteristic
76C2×#886C2211yescharacteristic
77C2×#885C2211yescharacteristic
78C2×#885C2211yescharacteristic
79C2×#884C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#884C2211yescharacteristic
83C2×#884C2211yescharacteristic
84C2×#884C2211yescharacteristic
85C2×#883C2211yescharacteristic
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×#878C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×C4×D12C2211yescharacteristic
92C2×C42×D3C2211yescharacteristic
93C3×#399C2211yescharacteristic
94C3×#398C2211yescharacteristic
95C3×#397C2211yescharacteristic
96C3×#394C2211yescharacteristic
97C3×#388C2211yescharacteristic
98C3×#387C2211yescharacteristic
99C3×#386C2211yescharacteristic
100C3×#386C2211yescharacteristic
101C3×#386C2211yescharacteristic
102C3×#385C2211yescharacteristic
103C3×#385C2211yescharacteristic
104#5223C2211yescharacteristic
105#5223C2211yescharacteristic
106#5223C2211yescharacteristic
107#5220C2211yescharacteristic
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic
111#5210C2211yescharacteristic
112#5210C2211yescharacteristic
113#4994C2211yescharacteristic
114#4994C2211yescharacteristic
115#4993C2211yescharacteristic
116#4993C2211yescharacteristic
117#4993C2211yescharacteristic
118#4991C2211yescharacteristic
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4983C2211yescharacteristic
122#4983C2211yescharacteristic
123#4980C2211yescharacteristic
124#4979C2211yescharacteristic
125#4979C2211yescharacteristic
126#4979C2211yescharacteristic
127#4978C2211yescharacteristic
128#4976C2211yescharacteristic
129#4961C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4958C2211yescharacteristic
140#4958C2211yescharacteristic
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4952C2211yescharacteristic
150#4947C2211yescharacteristic
151#4946C2211yescharacteristic
152#4946C2211yescharacteristic
153#4946C2211yescharacteristic
154#4945C2211yescharacteristic
155#4944C2211yescharacteristic
156#4944C2211yescharacteristic
157#4944C2211yescharacteristic
158#4940C2211yescharacteristic
159#4933C2211yescharacteristic
160#4676C2211yescharacteristic
161#4676C2211yescharacteristic
162#4673C2211yescharacteristic
163#4673C2211yescharacteristic
164#4673C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4671C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic
170#4669C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4667C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179D3×#95C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182D3×#95C2211yescharacteristic
183#4657C2211yescharacteristic
184#4656C2211yescharacteristic
185#4655C2211yescharacteristic
186#4654C2211yescharacteristic
187#4654C2211yescharacteristic
188#4653C2211yescharacteristic
189#4653C2211yescharacteristic
190#4652C2211yescharacteristic
191#4647C2211yescharacteristic
192C2×#547—31no—
193C2×#547—31no—
194C2×#537—31no—
195C2×#532—31no—
196#2854—31no—
197#2677—31no—
198#2677—31no—
199#2676—31no—
200#2676—31no—
201#2674—31no—
202#2674—31no—
203#2673—31no—
204#2673—31no—
205#2656—31no—
206#2618—31no—
207#2543—31no—
208#2543—31no—
209#2463—31no—
210#2463—31no—
211#2456—31no—
212#2456—31no—
213#2449—31no—
214#2449—31no—
215#2443—31no—
216#2443D311yescharacteristic, complemented
217#2430—31no—
218#2430—31no—
219#2430—31no—
220#2430—31no—
221#2325—31no—
222C2×#387—31no—
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C2×#237—24no—
246C2×#237—24no—
247C2×#237—42no—
248C2×#235—24no—
249C2×#235—24no—
250C2×#235—24no—
251C2×#235—24no—
252C2×#235—24no—
253C2×#235—24no—
254C2×#235—42no—
255C2×#235—42no—
256C2×#235—42no—
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C22×Dic6C2311yescharacteristic
275C22×Dic6C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C3×#123—24no—
278C3×#121—24no—
279C3×C4×D4—24no—
280C2×C3×C4⋊C4—24no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#940—24no—
311#939—24no—
312#939—24no—
313#939—24no—
314#938—24no—
315#938—24no—
316#938D418yescomplemented
317#930—24no—
318#929—24no—
319#929—24no—
320C4×#67—24no—
321C4×#67—24no—
322C4×#67—24no—
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354#924—24no—
355C2×Dic3⋊C4—24no—
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#897—24no—
380#896—24no—
381#896—24no—
382#896—24no—
383#895—24no—
384#895—24no—
385#895—42no—
386#894—24no—
387#894—24no—
388#894—24no—
389#893—24no—
390D3×C4⋊C4—24no—
391D3×C4⋊C4D418yescomplemented
392#888—24no—
393#888—24no—
394#888—24no—
395#886—24no—
396#885—24no—
397#885—24no—
398#884—24no—
399#884—24no—
400#884—24no—
401#884—24no—
402#884—24no—
403#884—42no—
404#883—24no—
405#67⋊C4—24no—
406#67⋊C4—24no—
407#878—24no—
408#878—24no—
409#878—24no—
410C4×D12—24no—
411C42×D3—24no—
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C22×#41—31no—
444C22×#41—31no—
445C22×#41—31no—
446#547—68no—
447#547—68no—
448#537—68no—
449#532—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×#127—31no—
454C2×#124—31no—
455C2×#124—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123C2×D311yescharacteristic
464C2×C22⋊Q8—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121C2×D311yescharacteristic
489C2×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4C2×D311yescharacteristic
497C22×C4⋊C4—31no—
498C22×C4⋊C4—31no—
499C22×C4⋊C4—31no—
500C22×C4⋊C4C2×D311yescharacteristic
501C22×C42—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399C2×D311yescharacteristic
506#398—31no—
507#398—31no—
508#398—31no—
509#398C2×D311yescharacteristic
510#397—31no—
511#397C2×D311yescharacteristic
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#395—31no—
517#395—31no—
518#395—31no—
519#395—31no—
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394C2×D311yescharacteristic
528#393—31no—
529#393—31no—
530#393—31no—
531#393—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388C2×D311yescharacteristic
556#387—31no—
557#387—31no—
558#387—31no—
559#387—31no—
560#387—31no—
561#387—31no—
562#387—31no—
563#387—31no—
564#387—31no—
565#387C2×D311yescharacteristic
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386C2×D311yescharacteristic
584#386C2×D311yescharacteristic
585#386C2×D311yescharacteristic
586#385—31no—
587#385—31no—
588#385—31no—
589#385—31no—
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385C2×D311yescharacteristic
595#385C2×D311yescharacteristic
596#380—31no—
597C2×#95—31no—
598C2×#95—31no—
599C2×#95—31no—
600C2×#95—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4C2×D414yes—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67C2×D414yes—
676C2×#67C2×D414yes—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3—41no—
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698#237—416no—
699#235—416no—
700#235—416no—
701#235—416no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3C2×D414yes—
747C2×C4×D3C2×D414yes—
748C2×C4×D3C2×D414yes—
749C2×C4×D3C2×D414yes—
750C2×Dic6—22no—
751C2×Dic6—22no—
752C2×Dic6—22no—
753C2×Dic6—22no—
754C2×Dic6—22no—
755C2×Dic6—22no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—41no—
759C2×Dic6—41no—
760C2×Dic6—41no—
761C2×Dic6—41no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—41no—
769C3×C4⋊C4C2×D414yes—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C42—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—41no—
788#217—41no—
789#217C2×D414yes—
790#217C2×D414yes—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817C4⋊Dic3—22no—
818C4⋊Dic3—22no—
819C4⋊Dic3—22no—
820C4⋊Dic3C2×D414yes—
821C4⋊Dic3C2×D414yes—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4C2×D414yes—
839Dic3⋊C4C2×D414yes—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—64no—
848C2×#41—64no—
849C2×#41—64no—
850C2×#41—64no—
851C2×#41—64no—
852C2×#41—64no—
853C2×#41—122no—
854C2×#41—122no—
855C2×#41—122no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8—31no—
859C22×Q8—31no—
860C22×Q8—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4C22×D311yescharacteristic
896C23×C4C22×D311yescharacteristic
897C23×C4C22×D311yescharacteristic
898C23×C4C22×D311yescharacteristic
899C4⋊Q8—64no—
900C4⋊Q8—64no—
901C4⋊Q8—64no—
902#127—64no—
903#124—64no—
904#124—64no—
905#123—24no—
906#123—64no—
907#123—64no—
908#123—64no—
909#123—64no—
910#123—64no—
911#123—64no—
912#123—64no—
913C22⋊Q8—64no—
914C22⋊Q8—64no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917C22⋊Q8—64no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—64no—
921#121—24no—
922#121—38no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—122no—
937#121—122no—
938C4×D4—24no—
939C4×D4—64no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—38no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—64no—
972C2×C4⋊C4—64no—
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C4⋊C4C22×D311yescharacteristic
976C2×C4⋊C4C22×D311yescharacteristic
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—64no—
1033C2×C42C22×D311yescharacteristic
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3C22×D412yes—
1084C23×C3C22×D412yes—
1085C23×C3C2511yescharacteristic
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3C22×D412yes—
1112C22×D3C22×D412yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—82no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—44no—
1150C2×C3×C4—44no—
1151C2×C3×C4—44no—
1152C2×C3×C4—44no—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C4C22×D412yes—
1156C2×C3×C4C22×D412yes—
1157#67—28no—
1158#67—28no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—82no—
1167#67—82no—
1168#67—82no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—44no—
1199C2×Dic3—44no—
1200C2×Dic3—44no—
1201C2×Dic3C22×D412yes—
1202C2×Dic3C22×D412yes—
1203C2×Dic3C22×D412yes—
1204C2×Dic3C22×D412yes—
1205C2×Dic3C22×D412yes—
1206C2×Dic3C22×D412yes—
1207C2×Dic32−1+412yes—
1208D12—44no—
1209D12—44no—
1210D12—44no—
1211D12—44no—
1212D12—44no—
1213D12—82no—
1214C4×D3—28no—
1215C4×D3—28no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—44no—
1219C4×D3—44no—
1220C4×D3—44no—
1221C4×D3—44no—
1222C4×D3—82no—
1223C4×D3—82no—
1224Dic6—44no—
1225Dic6—44no—
1226Dic6—44no—
1227Dic6—44no—
1228C24—31no—
1229C24—31no—
1230C24—31no—
1231C24—31no—
1232C24C23×D311yescharacteristic
1233C24C23×D311yescharacteristic
1234C24C23×D311yescharacteristic
1235#41—1216no—
1236#41—1216no—
1237#41—1216no—
1238#41—1216no—
1239C2×Q8—62no—
1240C2×Q8—62no—
1241C2×Q8—62no—
1242C2×Q8—62no—
1243C2×Q8—62no—
1244C2×Q8—62no—
1245C2×Q8—62no—
1246C2×Q8—62no—
1247C2×Q8—121no—
1248C2×Q8—121no—
1249C2×Q8—121no—
1250C2×Q8—121no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—34no—
1255C2×D4—34no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4D3×D414yes—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—34no—
1329C22×C4—34no—
1330C22×C4—34no—
1331C22×C4—34no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—34no—
1396C4⋊C4—34no—
1397C4⋊C4—34no—
1398C4⋊C4—34no—
1399C4⋊C4—41no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—62no—
1404C4⋊C4—62no—
1405C4⋊C4—62no—
1406C4⋊C4—62no—
1407C4⋊C4—62no—
1408C4⋊C4—62no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—121no—
1417C4⋊C4—121no—
1418C4⋊C4—121no—
1419C4⋊C4D3×D414yes—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—34no—
1428C22⋊C4—34no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C42—22no—
1467C42—62no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—62no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3C23×D411yescharacteristic
1494C22×C3C23×D411yescharacteristic
1495C22×C3C2×H(5,𝔽2)11yescharacteristic
1496C22×C3C2×2−1+411yescharacteristic
1497C22×C3#58511yescharacteristic
1498C22×C3#58511yescharacteristic
1499C22×C3#58511yescharacteristic
1500C2×D3—22no—
1501C2×D3—22no—
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3D4214yes—
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—22no—
1531C3×C4—22no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539C3×C4—41no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—22no—
1543Dic3—22no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—22no—
1547Dic3—41no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—32no—
1572C23—32no—
1573C23—32no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23C2×D3×D412yes—
1600C23C2×D3×D412yes—
1601C23C24×D311yescharacteristic
1602Q8—124no—
1603Q8—124no—
1604Q8—124no—
1605Q8—124no—
1606D4—44no—
1607D4—44no—
1608D4—68no—
1609D4—68no—
1610D4—82no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—32no—
1660C2×C4—32no—
1661C2×C4—32no—
1662C2×C4—32no—
1663C2×C4—32no—
1664C2×C4—32no—
1665C2×C4—32no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—68no—
1671C2×C4—68no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—124no—
1708C2×C4—124no—
1709C2×C4—124no—
1710C2×C4—242no—
1711C2×C4—242no—
1712C2×C4C2×D3×D412yes—
1713C2×C4C2×D3×D412yes—
1714C2×C4C2×D3×D412yes—
1715C2×C4C2×D3×D412yes—
1716C2×C3—42no—
1717C2×C3—42no—
1718C2×C3—81no—
1719C2×C3#344911yescharacteristic
1720C2×C3C2×D4211yescharacteristic
1721C2×C3#348511yescharacteristic
1722C2×C3#348911yescharacteristic
1723C2×C3#349711yescharacteristic
1724C2×C3#355911yescharacteristic
1725C2×C3#356011yescharacteristic
1726D3—24no—
1727D3—81no—
1728D3—81no—
1729D3—81no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—34no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—62no—
1753C22—62no—
1754C22—62no—
1755C22—62no—
1756C22—62no—
1757C22—62no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22C22×D3×D411yescharacteristic
1780C22C22×D3×D411yescharacteristic
1781C22#596411yescharacteristic
1782C22#596411yescharacteristic
1783C22#596411yescharacteristic
1784C22D3×H(5,𝔽2)11yescharacteristic
1785C22D3×2−1+411yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—62no—
1799C4—62no—
1800C4—62no—
1801C4—62no—
1802C4—62no—
1803C4—62no—
1804C4—62no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C3#3767911yescharacteristic, complemented, Sylow
1811C2—42no—
1812C2—42no—
1813C2—64no—
1814C2—81no—
1815C2—241no—
1816C2—241no—
1817C2—241no—
1818C2#8601211yescharacteristic
1819C2#8603511yescharacteristic
1820C2#8646411yescharacteristic
1821C2D3×D4211yescharacteristic
1822C2#8667711yescharacteristic
1823C2#8673711yescharacteristic
1824C2#8692011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2443C2
hypercenter#2443D3
hypocenterC3#37679
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5608C2semidirect
3. C2×#5548C2semidirect
4. C2×#5507C2semidirect
5. C3×#2443C2semidirect
6. #82899C2semidirect
7. #82683C2semidirect
8. #82356C2semidirect
9. #82173C2semidirect
10. #78111C2semidirect
11. #78061C2semidirect
12. #77968C2semidirect
13. #77962C2semidirect
14. #77682C2semidirect
15. #77567C2semidirect
16. #77135C2semidirect
17. #77116C2semidirect
18. #75960C2semidirect
19. #75856C2semidirect
20. #75327C2semidirect
21. D3×#387C2semidirect
22. #74902C2semidirect
23. #74898C2semidirect
24. #74896C2semidirect
25. #74877C2semidirect
26. #74793C2semidirect
27. #74792C2semidirect
28. #74606C2semidirect
29. #74606C2semidirect
30. #74508C2semidirect
31. #74421C2semidirect
216. #2443D3semidirect
316. #938D4semidirect
391. D3×C4⋊C4D4semidirect
1810. C3#37679semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#56082
C2×#55482
C2×#55072
C3×#24432
#828992
#826832
#823562
#821732
#781112
#780612
#779682
#779622
#776822
#775672
#771352
#771162
#759602
#758562
#753272
D3×#3872
#749022
#748982
#748962
#748772
#747932
#747922
#746062
#745082
#744212
#376793