Finite Group Databasebeta

← #11024601

Subgroups — #11024601

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×#5551C211yesmaximal, characteristic, complemented
4C2×#5548C211yesmaximal, characteristic, complemented
5C3×#2456C211yesmaximal, characteristic, complemented
6#82897C211yesmaximal, characteristic, complemented
7#82684C211yesmaximal, characteristic, complemented
8#82368C211yesmaximal, characteristic, complemented
9#82360C211yesmaximal, characteristic, complemented
10#77427C211yesmaximal, characteristic, complemented
11#77423C211yesmaximal, characteristic, complemented
12#76769C211yesmaximal, characteristic, complemented
13#76762C211yesmaximal, characteristic, complemented
14#76759C211yesmaximal, characteristic, complemented
15#76757C211yesmaximal, characteristic, complemented
16#76715C211yesmaximal, characteristic, complemented
17#76712C211yesmaximal, characteristic, complemented
18#76475C211yesmaximal, characteristic, complemented
19#76446C211yesmaximal, characteristic, complemented
20#75882C211yesmaximal, characteristic, complemented
21#75829C211yesmaximal, characteristic, complemented
22#75667C211yesmaximal, characteristic, complemented
23#75666C211yesmaximal, characteristic, complemented
24#75321C211yesmaximal, characteristic, complemented
25D3×#387C211yesmaximal, characteristic, complemented
26#74900C211yesmaximal, characteristic, complemented
27#74896C211yesmaximal, characteristic, complemented
28#74896C211yesmaximal, characteristic, complemented
29#74702C211yesmaximal, characteristic, complemented
30#74606C211yesmaximal, characteristic, complemented
31#74510C211yesmaximal, characteristic, complemented
32#37679—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic
49C2×#938C2211yescharacteristic
50C2×#938C2211yescharacteristic
51C2×#938C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic
54C2×#924C2211yescharacteristic
55C2×#924C2211yescharacteristic
56C2×#924C2211yescharacteristic
57C22×Dic3⋊C4C2211yescharacteristic
58#5655—28no—
59#5608—28no—
60#5551—28no—
61#5548—28no—
62C2×#897C2211yescharacteristic
63C2×#896C2211yescharacteristic
64C2×#895C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×D3×C4⋊C4C2211yescharacteristic
67C2×D3×C4⋊C4C2211yescharacteristic
68C2×D3×C4⋊C4C2211yescharacteristic
69C2×#888C2211yescharacteristic
70C2×#888C2211yescharacteristic
71C2×#886C2211yescharacteristic
72C2×#885C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic
76C2×#884C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#883C2211yescharacteristic
80C2×#883C2211yescharacteristic
81C2×#883C2211yescharacteristic
82C2×#883C2211yescharacteristic
83C2×#883C2211yescharacteristic
84C2×#67⋊C4C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×#878C2211yescharacteristic
87C2×#878C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×C4×D12C2211yescharacteristic
90C2×C4×D12C2211yescharacteristic
91C2×C42×D3C2211yescharacteristic
92C2×#869C2211yescharacteristic
93C3×#396C2211yescharacteristic
94C3×#392C2211yescharacteristic
95C3×#392C2211yescharacteristic
96C3×#392C2211yescharacteristic
97C3×#390C2211yescharacteristic
98C3×#388C2211yescharacteristic
99C3×#388C2211yescharacteristic
100C3×#387C2211yescharacteristic
101C3×#386C2211yescharacteristic
102C3×#386C2211yescharacteristic
103C3×#385C2211yescharacteristic
104#5223C2211yescharacteristic
105#5223C2211yescharacteristic
106#5223C2211yescharacteristic
107#5223C2211yescharacteristic
108#5223C2211yescharacteristic
109#5222C2211yescharacteristic
110#5222C2211yescharacteristic
111#5221C2211yescharacteristic
112#5220C2211yescharacteristic
113#5220C2211yescharacteristic
114#5220C2211yescharacteristic
115#5220C2211yescharacteristic
116#5213C2211yescharacteristic
117#5210C2211yescharacteristic
118#5210C2211yescharacteristic
119#4994C2211yescharacteristic
120#4994C2211yescharacteristic
121#4990C2211yescharacteristic
122#4989C2211yescharacteristic
123#4987C2211yescharacteristic
124#4984C2211yescharacteristic
125#4982C2211yescharacteristic
126#4982C2211yescharacteristic
127#4980C2211yescharacteristic
128#4979C2211yescharacteristic
129#4978C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4958C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4953C2211yescharacteristic
148#4951C2211yescharacteristic
149#4951C2211yescharacteristic
150#4951C2211yescharacteristic
151#4951C2211yescharacteristic
152#4950C2211yescharacteristic
153#4950C2211yescharacteristic
154#4950C2211yescharacteristic
155#4949C2211yescharacteristic
156#4949C2211yescharacteristic
157#4949C2211yescharacteristic
158#4948C2211yescharacteristic
159#4947C2211yescharacteristic
160#4947C2211yescharacteristic
161#4947C2211yescharacteristic
162#4945C2211yescharacteristic
163#4945C2211yescharacteristic
164#4940C2211yescharacteristic
165#4933C2211yescharacteristic
166#4933C2211yescharacteristic
167#4928C2211yescharacteristic
168#4677C2211yescharacteristic
169#4675C2211yescharacteristic
170#4673C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4661C2211yescharacteristic
183#4657C2211yescharacteristic
184#4656C2211yescharacteristic
185#4656C2211yescharacteristic
186#4656C2211yescharacteristic
187#4655C2211yescharacteristic
188#4655C2211yescharacteristic
189#4654C2211yescharacteristic
190#4653C2211yescharacteristic
191#4652C2211yescharacteristic
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#2456D311yescharacteristic, complemented
213#2449—31no—
214#2449—31no—
215#2443—31no—
216#2443—31no—
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
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×#237—24no—
248C2×#237—24no—
249C2×#237—42no—
250C2×#235—24no—
251C2×#235—24no—
252C2×#235—24no—
253C2×#235—24no—
254C2×#235—24no—
255C2×#235—24no—
256C2×#235—42no—
257C2×#235—42no—
258C2×#235—42no—
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
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—
280C3×C4×D4—24no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊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×C42C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318#940—24no—
319#939—24no—
320#939—24no—
321#939—24no—
322#938—24no—
323#938—24no—
324#938—24no—
325#938—24no—
326#938—24no—
327#938—24no—
328#938—42no—
329C4×#67—24no—
330C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359#924—24no—
360#924—24no—
361#924—24no—
362C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381#897—24no—
382#896—24no—
383#895—24no—
384#894—24no—
385D3×C4⋊C4—24no—
386D3×C4⋊C4—24no—
387D3×C4⋊C4D418yescomplemented
388#888—24no—
389#888—24no—
390#886—24no—
391#885—24no—
392#885—24no—
393#884—24no—
394#884—24no—
395#884—24no—
396#884—42no—
397#884D418yescomplemented
398#883—24no—
399#883—24no—
400#883—24no—
401#883—24no—
402#883—24no—
403#67⋊C4—24no—
404#67⋊C4—24no—
405#878—24no—
406#878—24no—
407#878—24no—
408C4×D12—24no—
409C4×D12—24no—
410C42×D3—24no—
411#869—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×D4C2×D311yescharacteristic
496C2×C4×D4C2×D311yescharacteristic
497C22×C4⋊C4—31no—
498C22×C4⋊C4—31no—
499C22×C4⋊C4—31no—
500C22×C4⋊C4—31no—
501C22×C42—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399—31no—
506#398—31no—
507#398—31no—
508#398—31no—
509#398—31no—
510#397—31no—
511#397—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396C2×D311yescharacteristic
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#394—31no—
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#392C2×D311yescharacteristic
540#392C2×D311yescharacteristic
541#392C2×D311yescharacteristic
542#390—31no—
543#390C2×D311yescharacteristic
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#388C2×D311yescharacteristic
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#386—31no—
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#385—31no—
595#385C2×D311yescharacteristic
596#380—31no—
597C2×#95—31no—
598C2×#95—31no—
599C2×#95—31no—
600C2×#95—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
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—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
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×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67C2×D414yes—
681C2×#67C2×D414yes—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704#237—416no—
705#235—416no—
706#235—416no—
707#235—416no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—41no—
716C2×D12C2×D414yes—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
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—41no—
733C2×C4×D3—41no—
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—41no—
766C3×C4⋊C4C2×D414yes—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
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—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4C2×D414yes—
780C3×C42—22no—
781C3×C42—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
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)⋊C4C2×D414yes—
815C4⋊Dic3—22no—
816C4⋊Dic3—22no—
817C4⋊Dic3—22no—
818C4⋊Dic3—22no—
819C4⋊Dic3—22no—
820C4⋊Dic3—22no—
821C4⋊Dic3—22no—
822C4⋊Dic3—22no—
823C4⋊Dic3—22no—
824C4⋊Dic3—41no—
825C4⋊Dic3—41no—
826C4⋊Dic3C2×D414yes—
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—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—41no—
838Dic3⋊C4C2×D414yes—
839Dic3⋊C4C2×D414yes—
840Dic3⋊C4C2×D414yes—
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×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
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×C4—31no—
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—24no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—38no—
951C2×C4⋊C4—31no—
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—31no—
972C2×C4⋊C4—31no—
973C2×C4⋊C4—64no—
974C2×C4⋊C4—64no—
975C2×C4⋊C4—64no—
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⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
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—64no—
1032C2×C42C22×D311yescharacteristic
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#95—31no—
1057#95—31no—
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×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3C22×D412yes—
1092C23×C3C2511yescharacteristic
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×D3C22×D412yes—
1111C22×D3C22×D412yes—
1112C22×D3C22×D412yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—82no—
1118C3×D4—82no—
1119C3×D4—82no—
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—44no—
1148C2×C3×C4—44no—
1149C2×C3×C4—44no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C42−1+412yes—
1156#67—28no—
1157#67—44no—
1158#67—44no—
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—
1168C2×Dic3—21no—
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—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—44no—
1205C2×Dic3C22×D412yes—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C22×D412yes—
1210D12—28no—
1211D12—44no—
1212D12—44no—
1213C4×D3—28no—
1214C4×D3—28no—
1215C4×D3—44no—
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—
1231C24C23×D311yescharacteristic
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—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—34no—
1259C2×D4—34no—
1260C2×D4—34no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
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—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
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×D4—121no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—34no—
1326C22×C4—34no—
1327C22×C4—34no—
1328C22×C4—34no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
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—62no—
1341C22×C4—62no—
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—121no—
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×C4—121no—
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—34no—
1393C4⋊C4—34no—
1394C4⋊C4—34no—
1395C4⋊C4—34no—
1396C4⋊C4—41no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
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—22no—
1428C22⋊C4—22no—
1429C22⋊C4—34no—
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—121no—
1455C22⋊C4—121no—
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⋊C4D3×D414yes—
1466C42—22no—
1467C42—22no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—62no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
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×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3C23×D411yescharacteristic
1501C22×C3C23×D411yescharacteristic
1502C22×C3C2×H(5,𝔽2)11yescharacteristic
1503C22×C3C2×2−1+411yescharacteristic
1504C22×C3#58511yescharacteristic
1505C22×C3#58511yescharacteristic
1506C22×C3#58511yescharacteristic
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—22no—
1512C2×D3—22no—
1513C2×D3—22no—
1514C2×D3—22no—
1515C2×D3—22no—
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—22no—
1533C3×C4—22no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539Dic3—22no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—22no—
1543Dic3—22no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
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—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—32no—
1580C23—32no—
1581C23—32no—
1582C23—32no—
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—
1599C23—61no—
1600C23C2×D3×D412yes—
1601C23C24×D311yescharacteristic
1602Q8—124no—
1603Q8—124no—
1604Q8—124no—
1605Q8—124no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—68no—
1610D4—68no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—124no—
1624D4—124no—
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—32no—
1655C2×C4—32no—
1656C2×C4—32no—
1657C2×C4—32no—
1658C2×C4—32no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—68no—
1663C2×C4—68no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
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—124no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—124no—
1708C2×C4—242no—
1709C2×C4—242no—
1710C2×C4C2×D3×D412yes—
1711C2×C4C2×D3×D412yes—
1712C2×C4C2×D3×D412yes—
1713C2×C4C2×D3×D412yes—
1714C2×C4C2×D3×D412yes—
1715C2×C4#101012yes—
1716C2×C3—42no—
1717C2×C3—81no—
1718C2×C3—81no—
1719C2×C3—81no—
1720C2×C3#344911yescharacteristic
1721C2×C3C2×D4211yescharacteristic
1722C2×C3#348511yescharacteristic
1723C2×C3#348911yescharacteristic
1724C2×C3#349711yescharacteristic
1725C2×C3#355911yescharacteristic
1726C2×C3#356011yescharacteristic
1727D3—24no—
1728D3—42no—
1729D3—81no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—34no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
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—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—62no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
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
1781C22C2×#101011yescharacteristic
1782C22#596411yescharacteristic
1783C22#596411yescharacteristic
1784C22D3×H(5,𝔽2)11yescharacteristic
1785C22#596611yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—62no—
1798C4—62no—
1799C4—62no—
1800C4—62no—
1801C4—62no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C3#3767911yescharacteristic, complemented, Sylow
1811C2—42no—
1812C2—64no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—122no—
1817C2—241no—
1818C2#8603511yescharacteristic
1819C2#8604211yescharacteristic
1820C2#8642511yescharacteristic
1821C2D3×D4211yescharacteristic
1822C2#8666311yescharacteristic
1823C2#8678411yescharacteristic
1824C2#8691911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2456C2
hypercenter#2456D3
hypocenterC3#37679
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5608C2semidirect
3. C2×#5551C2semidirect
4. C2×#5548C2semidirect
5. C3×#2456C2semidirect
6. #82897C2semidirect
7. #82684C2semidirect
8. #82368C2semidirect
9. #82360C2semidirect
10. #77427C2semidirect
11. #77423C2semidirect
12. #76769C2semidirect
13. #76762C2semidirect
14. #76759C2semidirect
15. #76757C2semidirect
16. #76715C2semidirect
17. #76712C2semidirect
18. #76475C2semidirect
19. #76446C2semidirect
20. #75882C2semidirect
21. #75829C2semidirect
22. #75667C2semidirect
23. #75666C2semidirect
24. #75321C2semidirect
25. D3×#387C2semidirect
26. #74900C2semidirect
27. #74896C2semidirect
28. #74896C2semidirect
29. #74702C2semidirect
30. #74606C2semidirect
31. #74510C2semidirect
212. #2456D3semidirect
387. D3×C4⋊C4D4semidirect
397. #884D4semidirect
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×#55512
C2×#55482
C3×#24562
#828972
#826842
#823682
#823602
#774272
#774232
#767692
#767622
#767592
#767572
#767152
#767122
#764752
#764462
#758822
#758292
#756672
#756662
#753212
D3×#3872
#749002
#748962
#747022
#746062
#745102
#376793