Finite Group Databasebeta

← #11166134

Subgroups — #11166134

Order 768.

2816 conjugacy classes of subgroups.

The subgroup lattice has 1906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5718C211yesmaximal, characteristic, complemented
2C2×#5591C211yesmaximal, characteristic, complemented
3C3×#2669C211yesmaximal, characteristic, complemented
4#83182C211yesmaximal, characteristic, complemented
5#82717C211yesmaximal, characteristic, complemented
6#82713C211yesmaximal, characteristic, complemented
7#82642C211yesmaximal, characteristic, complemented
8#82642C211yesmaximal, characteristic, complemented
9#82608C211yesmaximal, characteristic, complemented
10#82592C211yesmaximal, characteristic, complemented
11#82590C211yesmaximal, characteristic, complemented
12#82588C211yesmaximal, characteristic, complemented
13#82582C211yesmaximal, characteristic, complemented
14#77159C211yesmaximal, characteristic, complemented
15#76976C211yesmaximal, characteristic, complemented
16#76907C211yesmaximal, characteristic, complemented
17#76899C211yesmaximal, characteristic, complemented
18#76775C211yesmaximal, characteristic, complemented
19#76773C211yesmaximal, characteristic, complemented
20#76764C211yesmaximal, characteristic, complemented
21#76761C211yesmaximal, characteristic, complemented
22#76698C211yesmaximal, characteristic, complemented
23#76672C211yesmaximal, characteristic, complemented
24#76668C211yesmaximal, characteristic, complemented
25#76666C211yesmaximal, characteristic, complemented
26#75901C211yesmaximal, characteristic, complemented
27#75881C211yesmaximal, characteristic, complemented
28#75502C211yesmaximal, characteristic, complemented
29#75497C211yesmaximal, characteristic, complemented
30#74799C211yesmaximal, characteristic, complemented
31#74662C211yesmaximal, characteristic, complemented
32#42951—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic, complemented
36C2×C3×#127C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#940C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic
58C2×#938C2211yescharacteristic, complemented
59C2×#938C2211yescharacteristic, complemented
60C2×#937C2211yescharacteristic
61C2×#937C2211yescharacteristic
62C2×#937C2211yescharacteristic
63C2×#935C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic
65C2×D4×Dic3C2211yescharacteristic
66C2×D4×Dic3C2211yescharacteristic, complemented
67C2×D4×Dic3C2211yescharacteristic, complemented
68C22×Dic3⋊C4C2211yescharacteristic, complemented
69#5718—28no—
70#5591—28no—
71C2×#894C2211yescharacteristic, complemented
72C2×#886C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#883C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×#878C2211yescharacteristic
79C2×#877C2211yescharacteristic, complemented
80C2×C4×D12C2211yescharacteristic, complemented
81C2×C4×Dic6C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#392C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic
89C3×#388C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91#5247C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5222C2211yescharacteristic
102#5222C2211yescharacteristic
103#5222C2211yescharacteristic
104#5222C2211yescharacteristic, complemented
105#5222C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5220C2211yescharacteristic
109#5220C2211yescharacteristic, complemented
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5220C2211yescharacteristic, complemented
114#5213C2211yescharacteristic, complemented
115#5213C2211yescharacteristic, complemented
116#5213C2211yescharacteristic, complemented
117#4994C2211yescharacteristic, complemented
118#4994C2211yescharacteristic, complemented
119#4993C2211yescharacteristic, complemented
120#4992C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4955C2211yescharacteristic
152#4953C2211yescharacteristic
153#4953C2211yescharacteristic, complemented
154#4952C2211yescharacteristic
155#4952C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4950C2211yescharacteristic, complemented
158#4949C2211yescharacteristic, complemented
159#4948C2211yescharacteristic
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4945C2211yescharacteristic
164#4945C2211yescharacteristic, complemented
165#4943C2211yescharacteristic, complemented
166#4942C2211yescharacteristic
167#4942C2211yescharacteristic, complemented
168#4942C2211yescharacteristic, complemented
169#4942C2211yescharacteristic, complemented
170Dic3×C22⋊C4C2211yescharacteristic
171Dic3×C22⋊C4C2211yescharacteristic, complemented
172#4940C2211yescharacteristic, complemented
173#4933C2211yescharacteristic, complemented
174#4674C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4672C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4659C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#546—31no—
192#2813—31no—
193#2813—31no—
194#2688—31no—
195#2688—31no—
196#2673—31no—
197#2673—31no—
198#2669—31no—
199#2669D311yescharacteristic, complemented
200#2668—31no—
201#2668—31no—
202#2630—31no—
203#2630—31no—
204#2619—31no—
205#2617—31no—
206#2617—31no—
207#2534—31no—
208#2534—31no—
209#2448—31no—
210#2445—31no—
211#2433—31no—
212#2431—31no—
213#2421—31no—
214#2420—31no—
215#2416—31no—
216#2416—31no—
217#2408—31no—
218#2407—31no—
219#2392—31no—
220#2311—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67—24no—
237C22×#67—42no—
238C22×#67—42no—
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C2×#237—24no—
263C2×#237—42no—
264C2×#237—42no—
265C2×#237—42no—
266C2×#237—42no—
267C2×#237D418yescomplemented
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#127—24no—
275C3×#121—42no—
276C3×#121—42no—
277C3×#120—24no—
278C3×#120—42no—
279C3×#120—42no—
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊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×C42C2311yescharacteristic
297#953—42no—
298C2×#217—24no—
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
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
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323#940—24no—
324#940—24no—
325#940—42no—
326#939—24no—
327#939—24no—
328#939—24no—
329#939—24no—
330#939—24no—
331#939—24no—
332#939—42no—
333#939—42no—
334#939—42no—
335#939—42no—
336#938—24no—
337#938—24no—
338#938—24no—
339#937—24no—
340#937—42no—
341#937—42no—
342#935—42no—
343D4×Dic3—24no—
344D4×Dic3—24no—
345D4×Dic3—24no—
346D4×Dic3—42no—
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×Dic3⋊C4—42no—
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392#894—42no—
393#886—24no—
394#885—24no—
395#883—24no—
396#882—42no—
397#67⋊C4—24no—
398D3×C22⋊C4—24no—
399#878—24no—
400#877—42no—
401C4×D12—24no—
402C4×Dic6—24no—
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—
431C23×D4—31no—
432#550—68no—
433#546—68no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#127—31no—
437C2×#127C2×D311yescharacteristic, complemented
438C2×#124—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121C2×D311yescharacteristic
458C2×#121C2×D311yescharacteristic, complemented
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120C2×D311yescharacteristic
465C2×#120C2×D311yescharacteristic
466C2×#120C2×D311yescharacteristic
467C2×C4×Q8—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×#117—31no—
475C22×C4⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#400—31no—
480#399—31no—
481#399—31no—
482#398—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394C2×D311yescharacteristic, complemented
516#394C2×D311yescharacteristic, complemented
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#392C2×D311yescharacteristic
531#392C2×D311yescharacteristic
532#392C2×D311yescharacteristic, complemented
533#392C2×D311yescharacteristic, complemented
534#391—31no—
535#391—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#389—31no—
543#389—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388C2×D311yescharacteristic
549#388C2×D311yescharacteristic, complemented
550#387—31no—
551#387—31no—
552#386—31no—
553#386—31no—
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#386—31no—
567#386—31no—
568#386—31no—
569#386C2×D311yescharacteristic, complemented
570#385—31no—
571#385—31no—
572#382—31no—
573#381—31no—
574#381—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#379—31no—
582#379—31no—
583C4×C4⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
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—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4C2×D414yes—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
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—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—416no—
704C2×#67C2×D414yes—
705C2×#67C2×D414yes—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—22no—
709C22×Dic3—22no—
710C22×Dic3—22no—
711C22×Dic3—22no—
712C22×Dic3—22no—
713C22×Dic3—22no—
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—41no—
717C22×Dic3—41no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3C2×D414yes—
726C22×Dic3C2×D414yes—
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740#237—416no—
741#237—416no—
742C2×D12—22no—
743C2×D12—22no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3C2×D414yes—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6C2×D414yes—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—41no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C42—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217—41no—
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—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—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821C4⋊Dic3—22no—
822C4⋊Dic3—22no—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—41no—
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—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4—41no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C25—31no—
846C25C22×D311yescharacteristic
847C2×#41—38no—
848C2×#41—64no—
849C2×#41—122no—
850C2×#41—122no—
851C2×#41—122no—
852C2×#41—122no—
853C22×Q8—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—64no—
873C22×D4—122no—
874C22×D4—122no—
875C22×D4C22×D311yescharacteristic
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
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×C4—31no—
897C23×C4C22×D311yescharacteristic
898#127—24no—
899#127—64no—
900#127—64no—
901#127—122no—
902#124—64no—
903#123—64no—
904#123—64no—
905#123—122no—
906#123—122no—
907C22⋊Q8—64no—
908#121—42no—
909#121—42no—
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—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—24no—
924#120—42no—
925#120—42no—
926#120—64no—
927#120—122no—
928#120—122no—
929#120—122no—
930#120—122no—
931C4×Q8—64no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—64no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—122no—
938#117—122no—
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—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
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—122no—
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
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⋊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—64no—
1006C2×C22⋊C4—64no—
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026C2×C42C22×D311yescharacteristic
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
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#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
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×C3—21no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—82no—
1095C23×C3—82no—
1096C23×C3—82no—
1097C23×C3—82no—
1098C23×C3—82no—
1099C23×C3C22×D412yes—
1100C23×C3C22×D412yes—
1101C23×C3H(5,𝔽2)12yes—
1102C23×C3C2511yescharacteristic
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×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3C22×D412yes—
1131C3×D4—44no—
1132C3×D4—44no—
1133C3×D4—44no—
1134C3×D4—44no—
1135C3×D4—44no—
1136C3×D4—44no—
1137C3×D4—82no—
1138C3×D4—82no—
1139C3×D4—82no—
1140C3×D4—82no—
1141C3×D4—82no—
1142C3×D4—82no—
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—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—82no—
1169C2×C3×C4C22×D412yes—
1170C2×C3×C4H(5,𝔽2)12yes—
1171#67—28no—
1172#67—44no—
1173#67—44no—
1174#67—44no—
1175#67—44no—
1176#67—44no—
1177#67—44no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—28no—
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—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—44no—
1223C2×Dic3—44no—
1224C2×Dic3—44no—
1225C2×Dic3—44no—
1226C2×Dic3—82no—
1227C2×Dic3—82no—
1228C2×Dic3C22×D412yes—
1229C2×Dic3C22×D412yes—
1230C2×Dic3C22×D412yes—
1231C2×Dic3H(5,𝔽2)12yes—
1232C2×Dic3H(5,𝔽2)12yes—
1233D12—44no—
1234D12—82no—
1235C4×D3—44no—
1236C4×D3—44no—
1237C4×D3—82no—
1238Dic6—28no—
1239C24—22no—
1240C24—22no—
1241C24—31no—
1242C24—31no—
1243C24—31no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24—62no—
1250C24—62no—
1251C24—121no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24—121no—
1256C24C23×D311yescharacteristic
1257C24C23×D311yescharacteristic
1258C24C23×D311yescharacteristic
1259C24C23×D311yescharacteristic
1260C24C23×D311yescharacteristic
1261C24C23×D311yescharacteristic
1262#41—1216no—
1263#41—1216no—
1264C2×Q8—34no—
1265C2×Q8—62no—
1266C2×Q8—62no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—34no—
1280C2×D4—34no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—1216no—
1357C2×D4D3×D414yes—
1358C22×C4—31no—
1359C22×C4—34no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—34no—
1363C22×C4—34no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C4⋊C4—22no—
1414C4⋊C4—41no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4—121no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
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—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C42—22no—
1493C42—62no—
1494C42—62no—
1495C42—62no—
1496C42—62no—
1497C42—62no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—88no—
1541C22×C3C23×D411yescharacteristic
1542C22×C3C2×H(5,𝔽2)11yescharacteristic
1543C22×C3C2×H(5,𝔽2)11yescharacteristic
1544C22×C3C2×H(5,𝔽2)11yescharacteristic
1545C22×C3C2×H(5,𝔽2)11yescharacteristic
1546C22×C3#58511yescharacteristic
1547C22×C3#58511yescharacteristic
1548C2×D3—22no—
1549C2×D3—22no—
1550C2×D3—22no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—88no—
1570C3×C4—22no—
1571C3×C4—22no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577C3×C4—41no—
1578C3×C4—41no—
1579Dic3—22no—
1580Dic3—22no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590Dic3—41no—
1591Dic3#53414yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—32no—
1632C23—44no—
1633C23—44no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—124no—
1660C23—124no—
1661C23—242no—
1662C23—242no—
1663C23—242no—
1664C23—242no—
1665C23—242no—
1666C23C2×D3×D412yes—
1667C23C2×D3×D412yes—
1668C23#100412yes—
1669C23C24×D311yescharacteristic
1670Q8—68no—
1671D4—44no—
1672D4—44no—
1673D4—44no—
1674D4—44no—
1675D4—44no—
1676D4—44no—
1677D4—68no—
1678D4—82no—
1679D4—82no—
1680D4—82no—
1681D4—82no—
1682D4—82no—
1683D4—82no—
1684D4—124no—
1685D4—124no—
1686D4—124no—
1687D4—124no—
1688D4—124no—
1689D4—124no—
1690D4—124no—
1691D4—242no—
1692D4—242no—
1693D4—242no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—32no—
1727C2×C4—32no—
1728C2×C4—32no—
1729C2×C4—32no—
1730C2×C4—32no—
1731C2×C4—68no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—82no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—124no—
1770C2×C4—124no—
1771C2×C4—124no—
1772C2×C4—124no—
1773C2×C4—242no—
1774C2×C4—242no—
1775C2×C4—242no—
1776C2×C4C2×D3×D412yes—
1777C2×C4#100412yes—
1778C2×C3—42no—
1779C2×C3—42no—
1780C2×C3—42no—
1781C2×C3—81no—
1782C2×C3—81no—
1783C2×C3—81no—
1784C2×C3C2×#53411yescharacteristic
1785C2×C3#348811yescharacteristic
1786C2×C3#348811yescharacteristic
1787C2×C3#354211yescharacteristic
1788C2×C3#354311yescharacteristic
1789C2×C3#354611yescharacteristic
1790C2×C3#356211yescharacteristic
1791D3—42no—
1792D3—81no—
1793D3—81no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—62no—
1837C22—62no—
1838C22—62no—
1839C22—88no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—248no—
1859C22C22×D3×D411yescharacteristic
1860C22C2×#100411yescharacteristic
1861C22C2×#100411yescharacteristic
1862C22D3×H(5,𝔽2)11yescharacteristic
1863C22D3×H(5,𝔽2)11yescharacteristic
1864C22#596611yescharacteristic
1865C22#596611yescharacteristic
1866C4—22no—
1867C4—22no—
1868C4—34no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—62no—
1877C4—62no—
1878C4—121no—
1879C4—121no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4—121no—
1886C4—121no—
1887C4—121no—
1888C3#4295111yescharacteristic, complemented, Sylow
1889C2—42no—
1890C2—42no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—122no—
1896C2—241no—
1897C2—241no—
1898C2D3×#53411yescharacteristic
1899C2#8632311yescharacteristic
1900C2#8632511yescharacteristic
1901C2#8660711yescharacteristic
1902C2#8660711yescharacteristic
1903C2#8661611yescharacteristic
1904C2#8707711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2669C2
hypercenter#2669D3
hypocenterC3#42951
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#5718C2semidirect
2. C2×#5591C2semidirect
3. C3×#2669C2semidirect
4. #83182C2semidirect
5. #82717C2semidirect
6. #82713C2semidirect
7. #82642C2semidirect
8. #82642C2semidirect
9. #82608C2semidirect
10. #82592C2semidirect
11. #82590C2semidirect
12. #82588C2semidirect
13. #82582C2semidirect
14. #77159C2semidirect
15. #76976C2semidirect
16. #76907C2semidirect
17. #76899C2semidirect
18. #76775C2semidirect
19. #76773C2semidirect
20. #76764C2semidirect
21. #76761C2semidirect
22. #76698C2semidirect
23. #76672C2semidirect
24. #76668C2semidirect
25. #76666C2semidirect
26. #75901C2semidirect
27. #75881C2semidirect
28. #75502C2semidirect
29. #75497C2semidirect
30. #74799C2semidirect
31. #74662C2semidirect
35. C22×#237C22semidirect
36. C2×C3×#127C22semidirect
38. C2×C3×#121C22semidirect
46. C2×#940C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
58. C2×#938C22semidirect
59. C2×#938C22semidirect
63. C2×#935C22semidirect
66. C2×D4×Dic3C22semidirect
67. C2×D4×Dic3C22semidirect
68. C22×Dic3⋊C4C22semidirect
71. C2×#894C22semidirect
79. C2×#877C22semidirect
80. C2×C4×D12C22semidirect
81. C2×C4×Dic6C22semidirect
82. C3×#394C22semidirect
83. C3×#394C22semidirect
86. C3×#392C22semidirect
87. C3×#392C22semidirect
89. C3×#388C22semidirect
90. C3×#386C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
104. #5222C22semidirect
105. #5222C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
109. #5220C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
113. #5220C22semidirect
114. #5213C22semidirect
115. #5213C22semidirect
116. #5213C22semidirect
117. #4994C22semidirect
118. #4994C22semidirect
119. #4993C22semidirect
120. #4992C22semidirect
121. #4980C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
126. #4961C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4958C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
148. #4956C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
153. #4953C22semidirect
155. #4952C22semidirect
156. #4952C22semidirect
157. #4950C22semidirect
158. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
164. #4945C22semidirect
165. #4943C22semidirect
167. #4942C22semidirect
168. #4942C22semidirect
169. #4942C22semidirect
171. Dic3×C22⋊C4C22semidirect
172. #4940C22semidirect
173. #4933C22semidirect
174. #4674C22semidirect
175. #4672C22semidirect
176. #4672C22semidirect
177. #4669C22semidirect
178. #4668C22semidirect
179. #4667C22semidirect
180. #4667C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. #4661C22semidirect
184. #4660C22semidirect
185. #4659C22semidirect
186. #4650C22semidirect
187. #4649C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
199. #2669D3semidirect
267. C2×#237D4semidirect
437. C2×#127C2×D3semidirect
458. C2×#121C2×D3semidirect
515. #394C2×D3semidirect
516. #394C2×D3semidirect
532. #392C2×D3semidirect
533. #392C2×D3semidirect
549. #388C2×D3semidirect
569. #386C2×D3semidirect
1888. C3#42951semidirect

Maximal subgroups

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

subgroupindex
C2×#57182
C2×#55912
C3×#26692
#831822
#827172
#827132
#826422
#826082
#825922
#825902
#825882
#825822
#771592
#769762
#769072
#768992
#767752
#767732
#767642
#767612
#766982
#766722
#766682
#766662
#759012
#758812
#755022
#754972
#747992
#746622
#429513