Finite Group Databasebeta

← #11154576

Subgroups — #11154576

Order 768.

2736 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5631C211yesmaximal, characteristic, complemented
2C2×#5629C211yesmaximal, characteristic, complemented
3C3×#2692C211yesmaximal, characteristic, complemented
4#82827C211yesmaximal, characteristic, complemented
5#82798C211yesmaximal, characteristic, complemented
6#78125C211yesmaximal, characteristic, complemented
7#78036C211yesmaximal, characteristic, complemented
8#77838C211yesmaximal, characteristic, complemented
9#77742C211yesmaximal, characteristic, complemented
10#77448C211yesmaximal, characteristic, complemented
11#77284C211yesmaximal, characteristic, complemented
12#77215C211yesmaximal, characteristic, complemented
13#77169C211yesmaximal, characteristic, complemented
14#76826C211yesmaximal, characteristic, complemented
15#76809C211yesmaximal, characteristic, complemented
16#76809C211yesmaximal, characteristic, complemented
17#76792C211yesmaximal, characteristic, complemented
18#76626C211yesmaximal, characteristic, complemented
19#76517C211yesmaximal, characteristic, complemented
20#76460C211yesmaximal, characteristic, complemented
21#76348C211yesmaximal, characteristic, complemented
22#75387C211yesmaximal, characteristic, complemented
23#74962C211yesmaximal, characteristic, complemented
24#74915C211yesmaximal, characteristic, complemented
25#74700C211yesmaximal, characteristic, complemented
26#74700C211yesmaximal, characteristic, complemented
27#74698C211yesmaximal, characteristic, complemented
28#74509C211yesmaximal, characteristic, complemented
29#74404C211yesmaximal, characteristic, complemented
30#74030C211yesmaximal, characteristic, complemented
31#73895C211yesmaximal, characteristic, complemented
32#42421—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#239C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#944C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47#5631—28no—
48#5629—28no—
49C2×#897C2211yescharacteristic
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#896C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic
56C2×#895C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#884C2211yescharacteristic
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic
76C2×#884C2211yescharacteristic
77C2×#883C2211yescharacteristic
78C2×#883C2211yescharacteristic
79C2×#874C2211yescharacteristic
80C3×#399C2211yescharacteristic
81C3×#398C2211yescharacteristic
82C3×#396C2211yescharacteristic
83C3×#395C2211yescharacteristic
84C3×#393C2211yescharacteristic
85C3×#393C2211yescharacteristic
86C3×#391C2211yescharacteristic
87C3×#390C2211yescharacteristic
88C3×#387C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C3×#386C2211yescharacteristic
91C3×#385C2211yescharacteristic
92C3×#380C2211yescharacteristic
93#5231C2211yescharacteristic
94#5231C2211yescharacteristic
95#5231C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic
103#4994C2211yescharacteristic
104#4993C2211yescharacteristic
105#4992C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic
110#4991C2211yescharacteristic
111#4991C2211yescharacteristic
112#4989C2211yescharacteristic
113#4988C2211yescharacteristic
114#4988C2211yescharacteristic
115#4988C2211yescharacteristic
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic
118#4985C2211yescharacteristic
119#4982C2211yescharacteristic
120#4980C2211yescharacteristic
121#4976C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4952C2211yescharacteristic
146#4945C2211yescharacteristic
147#4940C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149C4×Dic3⋊C4C2211yescharacteristic
150#4673C2211yescharacteristic
151#4673C2211yescharacteristic
152#4672C2211yescharacteristic
153#4671C2211yescharacteristic
154#4671C2211yescharacteristic
155#4671C2211yescharacteristic
156#4671C2211yescharacteristic
157#4671C2211yescharacteristic
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic
161#4671C2211yescharacteristic
162#4671C2211yescharacteristic
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4658C2211yescharacteristic
183#4654C2211yescharacteristic
184#4653C2211yescharacteristic
185#4649C2211yescharacteristic
186#4647C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#547—31no—
191C2×#537—31no—
192#2813—31no—
193#2813—31no—
194#2696—31no—
195#2696—31no—
196#2692—31no—
197#2692D311yescharacteristic, complemented
198#2676—31no—
199#2676—31no—
200#2673—31no—
201#2673—31no—
202#2661—31no—
203#2661—31no—
204#2615—31no—
205#2615—31no—
206#2615—31no—
207#2541—31no—
208#2540—31no—
209#2492—31no—
210#2491—31no—
211#2431—31no—
212#2431—31no—
213#2431—31no—
214#2428—31no—
215#2427—31no—
216#2417—31no—
217#2416—31no—
218#2407—31no—
219#2388—31no—
220#2345—31no—
221C22×C3×Q8C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C2×#239—24no—
239C2×#239—24no—
240C2×#239—42no—
241C2×#239—42no—
242C2×#239—42no—
243C2×#239—42no—
244C2×#235—24no—
245C2×#235—24no—
246C2×#235—42no—
247C2×#235—42no—
248C2×#235—42no—
249C2×#235—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
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×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×Dic6C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C3×C22⋊Q8—24no—
278C3×C22⋊Q8—24no—
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
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×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×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303#947—42no—
304#946—24no—
305#944—24no—
306#940—42no—
307#940—42no—
308#930—24no—
309#930—42no—
310C4×#67—24no—
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370#897—24no—
371#896—24no—
372#896—24no—
373#896—42no—
374#895—24no—
375#895—24no—
376#895—24no—
377#895—42no—
378#894—24no—
379#894—24no—
380#893—24no—
381#893—42no—
382#893—42no—
383D3×C4⋊C4—24no—
384D3×C4⋊C4D418yescomplemented
385#885—42no—
386#885—42no—
387#884—24no—
388#884—24no—
389#884—24no—
390#884—24no—
391#884—24no—
392#884—24no—
393#884—42no—
394#884—42no—
395#884—42no—
396#884—42no—
397#884—42no—
398#883—24no—
399#883—24no—
400#874—42no—
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
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
429C22×#41—31no—
430C22×#41—31no—
431C22×#41—31no—
432C22×#41—31no—
433#547—68no—
434#537—68no—
435C2×C4⋊Q8—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8C2×D311yescharacteristic
452C2×C22⋊Q8C2×D311yescharacteristic
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#121—31no—
469C2×#121—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C22×C4⋊C4—31no—
475C22×C4⋊C4—31no—
476#400—31no—
477#400—31no—
478#399—31no—
479#399C2×D311yescharacteristic
480#398—31no—
481#398C2×D311yescharacteristic
482#397—31no—
483#397—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396C2×D311yescharacteristic
488#395C2×D311yescharacteristic
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#393—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393C2×D311yescharacteristic
508#393C2×D311yescharacteristic
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#391—31no—
533#391—31no—
534#391—31no—
535#391C2×D311yescharacteristic
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
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#387—31no—
551#387—31no—
552#387—31no—
553#387C2×D311yescharacteristic
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386C2×D311yescharacteristic
567#386C2×D311yescharacteristic
568#385—31no—
569#385C2×D311yescharacteristic
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380C2×D311yescharacteristic
579C4×C4⋊C4—31no—
580C4×C4⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×Q8—22no—
595C2×C3×Q8—22no—
596C2×C3×Q8—22no—
597C2×C3×Q8—41no—
598C2×C3×Q8—41no—
599C2×C3×Q8—41no—
600C2×C3×D4—22no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668#239—416no—
669#239—416no—
670#235—416no—
671#235—416no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
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—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
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×D3C2×D414yes—
745C2×C4×D3C2×D414yes—
746C2×C4×D3C2×D414yes—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—22no—
751C2×Dic6—22no—
752C2×Dic6—41no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—22no—
756C3×C4⋊C4—22no—
757C3×C4⋊C4—41no—
758C3×C4⋊C4—41no—
759C3×C4⋊C4—41no—
760C3×C4⋊C4—41no—
761C3×C4⋊C4C2×D414yes—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C42—41no—
773#217—22no—
774#217—41no—
775#217—41no—
776#217—41no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
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—
815C4⋊Dic3—22no—
816C4⋊Dic3—41no—
817C4⋊Dic3C2×D414yes—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4C2×D414yes—
829Dic3⋊C4C2×D414yes—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C2×#41—64no—
837C2×#41—64no—
838C2×#41—64no—
839C2×#41—64no—
840C2×#41—122no—
841C2×#41—122no—
842C2×#41—122no—
843C2×#41—122no—
844C2×#41—122no—
845C2×#41—122no—
846C2×#41—122no—
847C2×#41—122no—
848C22×Q8—31no—
849C22×Q8—31no—
850C22×Q8C22×D311yescharacteristic
851C22×Q8C22×D311yescharacteristic
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—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
880C23×C4—31no—
881C23×C4—31no—
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×C4C22×D311yescharacteristic
891C23×C4C22×D311yescharacteristic
892C4⋊Q8—64no—
893#127—122no—
894#127—122no—
895#127—122no—
896#124—122no—
897#124—122no—
898#124—122no—
899#123—64no—
900#123—64no—
901#123—64no—
902#123—64no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—64no—
906C22⋊Q8—64no—
907C22⋊Q8—64no—
908C22⋊Q8—64no—
909C22⋊Q8—122no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—122no—
921#121—122no—
922#121—122no—
923#121—122no—
924#121—122no—
925#121—122no—
926#121—122no—
927C4×D4—64no—
928C4×D4—64no—
929C4×D4—122no—
930C4×D4—122no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—38no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—64no—
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014C2×C42—31no—
1015C2×C42C22×D311yescharacteristic
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95C22×D311yescharacteristic
1035#95C22×D311yescharacteristic
1036#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3C2511yescharacteristic
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
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×D3C22×D412yes—
1100C22×D3H(5,𝔽2)12yes—
1101C3×Q8—44no—
1102C3×Q8—44no—
1103C3×D4—82no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
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—44no—
1139C2×C3×C4—44no—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143C2×C3×C4H(5,𝔽2)12yes—
1144C2×C3×C42−1+412yes—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156#67—82no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
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×Dic3C22×D412yes—
1183C2×Dic3C22×D412yes—
1184C2×Dic3C22×D412yes—
1185C2×Dic3H(5,𝔽2)12yes—
1186C2×Dic3H(5,𝔽2)12yes—
1187D12—28no—
1188D12—44no—
1189D12—44no—
1190D12—44no—
1191D12—44no—
1192D12—44no—
1193D12—44no—
1194D12—44no—
1195D12—44no—
1196D12—82no—
1197D12—82no—
1198D12—82no—
1199D12—82no—
1200D12—82no—
1201D12—82no—
1202C4×D3—28no—
1203C4×D3—44no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—44no—
1212Dic6—44no—
1213Dic6—44no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—31no—
1219C24—31no—
1220C24C23×D311yescharacteristic
1221C24C23×D311yescharacteristic
1222#41—1216no—
1223#41—1216no—
1224#41—1216no—
1225#41—1216no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—41no—
1230C2×Q8—41no—
1231C2×Q8—41no—
1232C2×Q8—62no—
1233C2×Q8—62no—
1234C2×Q8—62no—
1235C2×Q8—62no—
1236C2×Q8—62no—
1237C2×Q8—121no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
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—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
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×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—34no—
1329C22×C4—34no—
1330C22×C4—34no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
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—121no—
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×C4C23×D311yescharacteristic
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—34no—
1386C4⋊C4—34no—
1387C4⋊C4—34no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—121no—
1401C4⋊C4—121no—
1402C4⋊C4—121no—
1403C4⋊C4—121no—
1404C4⋊C4D3×D414yes—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C42—41no—
1458C42—62no—
1459C42—62no—
1460C42—62no—
1461C42—121no—
1462C42—121no—
1463C42—121no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3C23×D411yescharacteristic
1479C22×C3C2×H(5,𝔽2)11yescharacteristic
1480C22×C3C2×H(5,𝔽2)11yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×H(5,𝔽2)11yescharacteristic
1483C22×C3C2×2−1+411yescharacteristic
1484C22×C3#58511yescharacteristic
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
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—
1527C3×C4—22no—
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—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547Dic3—41no—
1548Dic3—41no—
1549Dic3#53514yes—
1550C23—21no—
1551C23—21no—
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—32no—
1565C23—32no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
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—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23C24×D311yescharacteristic
1607Q8—44no—
1608Q8—44no—
1609Q8—124no—
1610Q8—124no—
1611D4—68no—
1612D4—82no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—124no—
1624D4—124no—
1625D4—124no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631D4—242no—
1632D4—242no—
1633D4—242no—
1634D4—242no—
1635D4—242no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
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—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—32no—
1674C2×C4—32no—
1675C2×C4—32no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—68no—
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—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—124no—
1707C2×C4—124no—
1708C2×C4—124no—
1709C2×C4—124no—
1710C2×C4—124no—
1711C2×C4—124no—
1712C2×C4—124no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4C2×D3×D412yes—
1716C2×C4C2×D3×D412yes—
1717C2×C4C2×D3×D412yes—
1718C2×C4#100712yes—
1719C2×C4#100912yes—
1720C2×C3—81no—
1721C2×C3—81no—
1722C2×C3C2×#53511yescharacteristic
1723C2×C3#348411yescharacteristic
1724C2×C3#349711yescharacteristic
1725C2×C3#353611yescharacteristic
1726C2×C3#354211yescharacteristic
1727C2×C3#354611yescharacteristic
1728C2×C3#354811yescharacteristic
1729D3—42no—
1730D3—42no—
1731D3—81no—
1732D3—81no—
1733D3—81no—
1734D3—81no—
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—62no—
1750C22—62no—
1751C22—62no—
1752C22—62no—
1753C22—62no—
1754C22—62no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
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—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22C22×D3×D411yescharacteristic
1792C22C2×#100711yescharacteristic
1793C22C2×#100911yescharacteristic
1794C22D3×H(5,𝔽2)11yescharacteristic
1795C22D3×H(5,𝔽2)11yescharacteristic
1796C22D3×H(5,𝔽2)11yescharacteristic
1797C22#596811yescharacteristic
1798C4—22no—
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—34no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—62no—
1813C4—62no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C4—121no—
1820C4—121no—
1821C3#4242111yescharacteristic, complemented, Sylow
1822C2—81no—
1823C2—81no—
1824C2—122no—
1825C2—122no—
1826C2—241no—
1827C2—241no—
1828C2—241no—
1829C2—241no—
1830C2D3×#53511yescharacteristic
1831C2#8653211yescharacteristic
1832C2#8657511yescharacteristic
1833C2#8666211yescharacteristic
1834C2#8676011yescharacteristic
1835C2#8693911yescharacteristic
1836C2#8709711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2692C2
hypercenter#2692D3
hypocenterC3#42421
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#5631C2semidirect
2. C2×#5629C2semidirect
3. C3×#2692C2semidirect
4. #82827C2semidirect
5. #82798C2semidirect
6. #78125C2semidirect
7. #78036C2semidirect
8. #77838C2semidirect
9. #77742C2semidirect
10. #77448C2semidirect
11. #77284C2semidirect
12. #77215C2semidirect
13. #77169C2semidirect
14. #76826C2semidirect
15. #76809C2semidirect
16. #76809C2semidirect
17. #76792C2semidirect
18. #76626C2semidirect
19. #76517C2semidirect
20. #76460C2semidirect
21. #76348C2semidirect
22. #75387C2semidirect
23. #74962C2semidirect
24. #74915C2semidirect
25. #74700C2semidirect
26. #74700C2semidirect
27. #74698C2semidirect
28. #74509C2semidirect
29. #74404C2semidirect
30. #74030C2semidirect
31. #73895C2semidirect
197. #2692D3semidirect
384. D3×C4⋊C4D4semidirect
1821. C3#42421semidirect

Maximal subgroups

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

subgroupindex
C2×#56312
C2×#56292
C3×#26922
#828272
#827982
#781252
#780362
#778382
#777422
#774482
#772842
#772152
#771692
#768262
#768092
#767922
#766262
#765172
#764602
#763482
#753872
#749622
#749152
#747002
#746982
#745092
#744042
#740302
#738952
#424213