Finite Group Databasebeta

← #11635218

Subgroups — #11635218

Order 768.

2968 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5610C211yesmaximal, characteristic, complemented
2C2×#5596C211yesmaximal, characteristic, complemented
3C3×#2688C211yesmaximal, characteristic, complemented
4#82720C211yesmaximal, characteristic, complemented
5#82701C211yesmaximal, characteristic, complemented
6#78148C211yesmaximal, characteristic, complemented
7#78138C211yesmaximal, characteristic, complemented
8#77517C211yesmaximal, characteristic, complemented
9#77474C211yesmaximal, characteristic, complemented
10#77467C211yesmaximal, characteristic, complemented
11#77466C211yesmaximal, characteristic, complemented
12#76896C211yesmaximal, characteristic, complemented
13#76894C211yesmaximal, characteristic, complemented
14#76754C211yesmaximal, characteristic, complemented
15#76678C211yesmaximal, characteristic, complemented
16#76673C211yesmaximal, characteristic, complemented
17#76672C211yesmaximal, characteristic, complemented
18#74917C211yesmaximal, characteristic, complemented
19#74885C211yesmaximal, characteristic, complemented
20#74879C211yesmaximal, characteristic, complemented
21#74878C211yesmaximal, characteristic, complemented
22#74758C211yesmaximal, characteristic, complemented
23#74753C211yesmaximal, characteristic, complemented
24#74728C211yesmaximal, characteristic, complemented
25#74679C211yesmaximal, characteristic, complemented
26#74677C211yesmaximal, characteristic, complemented
27#74658C211yesmaximal, characteristic, complemented
28#74596C211yesmaximal, characteristic, complemented
29#74425C211yesmaximal, characteristic, complemented
30#74139C211yesmaximal, characteristic, complemented
31#74052C211yesmaximal, characteristic, complemented
32#59099—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic, complemented
35C22×#237C2211yescharacteristic, complemented
36C22×D3×D4C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic, complemented
50C2×#929C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic, complemented
54C22×(C2×D3)⋊C4C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic
56C2×#924C2211yescharacteristic, complemented
57C22×C4×Dic3C2211yescharacteristic, complemented
58#5610—28no—
59#5596—28no—
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic
63C2×#893C2211yescharacteristic, complemented
64C2×#888C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×#877C2211yescharacteristic, complemented
80C3×#400C2211yescharacteristic, complemented
81C3×#397C2211yescharacteristic, complemented
82C3×#397C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#385C2211yescharacteristic, complemented
92C3×#381C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5221C2211yescharacteristic, complemented
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105C4×#217C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4990C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4988C2211yescharacteristic
110#4987C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4973C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic, complemented
123#4958C2211yescharacteristic, complemented
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4952C2211yescharacteristic, complemented
139#4948C2211yescharacteristic, complemented
140#4947C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4945C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4943C2211yescharacteristic, complemented
146#4942C2211yescharacteristic, complemented
147Dic3×C22⋊C4C2211yescharacteristic, complemented
148Dic3×C22⋊C4C2211yescharacteristic, complemented
149Dic3×C22⋊C4C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4673C2211yescharacteristic
154#4673C2211yescharacteristic
155#4673C2211yescharacteristic, complemented
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic, complemented
158#4671C2211yescharacteristic
159#4670C2211yescharacteristic
160#4670C2211yescharacteristic, complemented
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4652C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#532—31no—
192#2688—31no—
193#2688D311yescharacteristic, complemented
194#2678—31no—
195#2678—31no—
196#2557—31no—
197#2557—31no—
198#2544—31no—
199#2492—31no—
200#2472—31no—
201#2472—31no—
202#2457—31no—
203#2457—31no—
204#2452—31no—
205#2447—31no—
206#2433—31no—
207#2431—31no—
208#2427—31no—
209#2414—31no—
210#2407—31no—
211#2407—31no—
212#2404—31no—
213#2404—31no—
214#2366—31no—
215#2363—31no—
216#2358—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220#2297—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
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
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×#237—24no—
250C2×#237—24no—
251C2×#237—24no—
252C2×#237—24no—
253C2×#237—42no—
254C2×#237—42no—
255C2×#237—42no—
256C2×#237—42no—
257C2×#237—42no—
258C2×D3×D4—24no—
259C2×D3×D4—24no—
260C2×D3×D4—42no—
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×Dic6C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#121—24no—
275C3×#121—24no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊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×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#940—24no—
306#940—24no—
307#939—24no—
308#939D418yescomplemented
309#937—24no—
310#937—24no—
311#937—24no—
312#937—42no—
313#935—24no—
314D4×Dic3—24no—
315#930—24no—
316#929—24no—
317C4×#67—24no—
318C4×#67—42no—
319C4×#67—42no—
320C2×(C2×D3)⋊C4—24no—
321C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354#924—42no—
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×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×C4×Dic3—24no—
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#896—24no—
380#896—42no—
381#894—24no—
382#893—24no—
383#888—24no—
384#885—24no—
385#885—24no—
386#885—24no—
387#885—42no—
388#884—24no—
389#884—42no—
390#882—24no—
391#882—42no—
392#67⋊C4—24no—
393#67⋊C4—24no—
394#67⋊C4—24no—
395#67⋊C4—42no—
396D3×C22⋊C4—24no—
397D3×C22⋊C4—42no—
398#877—42no—
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
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—
432C23×D4—31no—
433#546—68no—
434#532—68no—
435C2×C4⋊Q8—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121C2×D311yescharacteristic
454C2×#121C2×D311yescharacteristic, complemented
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×#117—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C42—31no—
476#400—31no—
477#400C2×D311yescharacteristic, complemented
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397C2×D311yescharacteristic, complemented
483#397C2×D311yescharacteristic, complemented
484#396—31no—
485#396—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394C2×D311yescharacteristic, complemented
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392C2×D311yescharacteristic
507#392C2×D311yescharacteristic, complemented
508#391—31no—
509#391—31no—
510#391—31no—
511#391—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#389—31no—
525#389—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic, complemented
558#386C2×D311yescharacteristic, complemented
559#386C2×D311yescharacteristic, complemented
560#386C2×D311yescharacteristic, complemented
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic, complemented
566#381—31no—
567#381—31no—
568#381C2×D311yescharacteristic, complemented
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊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
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3C2411yescharacteristic
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—22no—
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×D4C2×D414yes—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
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—22no—
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×#67C2×D414yes—
680C2×#67C2×D414yes—
681C2×#67#4114yescomplemented
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3C2×D414yes—
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709#237—416no—
710#237—416no—
711#237—416no—
712D3×D4—416no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
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×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—41no—
751C2×Dic6—41no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—41no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217C2×D414yes—
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—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
810(C2×D3)⋊C4#4114yescomplemented
811C4⋊Dic3—22no—
812C4⋊Dic3—41no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—41no—
823Dic3⋊C4—41no—
824Dic3⋊C4C2×D414yes—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—41no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C25—31no—
837C25—31no—
838C2×#41—64no—
839C2×#41—64no—
840C2×#41—64no—
841C2×#41—64no—
842C2×#41—122no—
843C2×#41—122no—
844C2×#41—122no—
845C2×#41—122no—
846C2×#41—122no—
847C22×Q8—31no—
848C22×Q8—31no—
849C22×Q8—31no—
850C22×D4—31no—
851C22×D4—31no—
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—64no—
867C22×D4—64no—
868C22×D4—122no—
869C22×D4C22×D311yescharacteristic
870C22×D4C22×D311yescharacteristic
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4C22×D311yescharacteristic
887C23×C4C22×D311yescharacteristic
888C23×C4C22×D311yescharacteristic
889C4⋊Q8—64no—
890#127—64no—
891#127—64no—
892#124—64no—
893#124—64no—
894#124—64no—
895#124—122no—
896#123—64no—
897#123—64no—
898#123—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902#121—24no—
903#121—24no—
904#121—38no—
905#121—64no—
906#121—64no—
907#121—64no—
908#121—122no—
909#120—64no—
910#120—64no—
911#120—64no—
912#120—64no—
913#120—122no—
914#120—122no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—64no—
918C4×D4—64no—
919C4×D4—64no—
920C4×D4—64no—
921C4×D4—122no—
922C4×D4—122no—
923C4×D4—122no—
924#117—122no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
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—64no—
986C2×C22⋊C4—64no—
987C2×C22⋊C4—122no—
988C2×C22⋊C4—122no—
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—64no—
1014#95—31no—
1015#95—31no—
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×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×C3C22×D412yes—
1070C23×C3C22×D412yes—
1071C23×C3C2×#4112yes—
1072C23×C3C2511yescharacteristic
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—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—44no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3—82no—
1111C22×D3—82no—
1112C22×D3C22×D412yes—
1113C22×D3C2×#4112yes—
1114C22×D3C2×#4112yes—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—82no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—44no—
1153C2×C3×C4—82no—
1154C2×C3×C4—82no—
1155C2×C3×C4C22×D412yes—
1156C2×C3×C4C2×#4112yes—
1157#67—28no—
1158#67—28no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
1169C2×Dic3—28no—
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—28no—
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—44no—
1200C2×Dic3—44no—
1201C2×Dic3—44no—
1202C2×Dic3C22×D412yes—
1203C2×Dic3C22×D412yes—
1204C2×Dic3C22×D412yes—
1205C2×Dic3C2×#4112yes—
1206C2×Dic3C2×#4112yes—
1207C2×Dic3H(5,𝔽2)12yes—
1208C2×Dic3H(5,𝔽2)12yes—
1209C2×Dic3H(5,𝔽2)12yes—
1210D12—44no—
1211D12—44no—
1212D12—82no—
1213D12—82no—
1214C4×D3—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—82no—
1219C4×D3—82no—
1220Dic6—44no—
1221Dic6—44no—
1222Dic6—44no—
1223C24—31no—
1224C24—31no—
1225C24—31no—
1226C24—31no—
1227C24—62no—
1228C24—62no—
1229C24—62no—
1230C24—62no—
1231C24—62no—
1232C24—62no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24—121no—
1241C24C23×D311yescharacteristic
1242C24C23×D311yescharacteristic
1243C24C23×D311yescharacteristic
1244C24C23×D311yescharacteristic
1245#41—1216no—
1246#41—1216no—
1247#41—1216no—
1248C2×Q8—62no—
1249C2×Q8—62no—
1250C2×Q8—62no—
1251C2×Q8—62no—
1252C2×Q8—62no—
1253C2×Q8—62no—
1254C2×Q8—62no—
1255C2×Q8—121no—
1256C2×Q8—121no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—34no—
1266C2×D4—34no—
1267C2×D4—34no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
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—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
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—
1322C2×D4—1216no—
1323C2×D4D3×D414yes—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—31no—
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—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—62no—
1364C22×C4—62no—
1365C22×C4—62no—
1366C22×C4—62no—
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—34no—
1392C4⋊C4—41no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—34no—
1412C22⋊C4—34no—
1413C22⋊C4—34no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
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—62no—
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—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—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C42—62no—
1463C42—62no—
1464C42—62no—
1465C42—62no—
1466C42—62no—
1467C42—62no—
1468C42—62no—
1469C42—121no—
1470C42—121no—
1471C42—121no—
1472C42—121no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
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×C3—41no—
1501C22×C3C23×D411yescharacteristic
1502C22×C3C22×#4111yescharacteristic
1503C22×C3C22×#4111yescharacteristic
1504C22×C3C2×H(5,𝔽2)11yescharacteristic
1505C22×C3C2×H(5,𝔽2)11yescharacteristic
1506C22×C3C2×H(5,𝔽2)11yescharacteristic
1507C22×C3#58511yescharacteristic
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—22no—
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×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—88no—
1537C2×D3—88no—
1538C3×C4—22no—
1539C3×C4—22no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544C3×C4—41no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549Dic3—22no—
1550Dic3—22no—
1551Dic3—22no—
1552Dic3—22no—
1553Dic3—22no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3#54614yes—
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—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—32no—
1587C23—32no—
1588C23—32no—
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—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—124no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—242no—
1621C23—242no—
1622C23—242no—
1623C23—242no—
1624C23—242no—
1625C23—242no—
1626C23—242no—
1627C23—242no—
1628C23C2×D3×D412yes—
1629C23C2×D3×D412yes—
1630C23D3×#4112yes—
1631C23C24×D311yescharacteristic
1632Q8—124no—
1633Q8—124no—
1634Q8—124no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—68no—
1641D4—68no—
1642D4—82no—
1643D4—124no—
1644D4—124no—
1645D4—124no—
1646D4—124no—
1647D4—124no—
1648D4—124no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—242no—
1655D4—242no—
1656D4—242no—
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—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—32no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—32no—
1694C2×C4—32no—
1695C2×C4—32no—
1696C2×C4—44no—
1697C2×C4—68no—
1698C2×C4—68no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—82no—
1728C2×C4—82no—
1729C2×C4—124no—
1730C2×C4—124no—
1731C2×C4—124no—
1732C2×C4—124no—
1733C2×C4—124no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—242no—
1737C2×C4—242no—
1738C2×C4C2×D3×D412yes—
1739C2×C4D3×#4112yes—
1740C2×C3—42no—
1741C2×C3—42no—
1742C2×C3—42no—
1743C2×C3—81no—
1744C2×C3C2×#54611yescharacteristic
1745C2×C3D4×#4111yescharacteristic
1746C2×C3#348111yescharacteristic
1747C2×C3#348411yescharacteristic
1748C2×C3#350811yescharacteristic
1749C2×C3#351411yescharacteristic
1750C2×C3#354611yescharacteristic
1751D3—42no—
1752D3—42no—
1753D3—42no—
1754D3—81no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
1791C22—62no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—248no—
1812C22—248no—
1813C22C22×D3×D411yescharacteristic
1814C22C2×D3×#4111yescharacteristic
1815C22C2×D3×#4111yescharacteristic
1816C22D3×H(5,𝔽2)11yescharacteristic
1817C22D3×H(5,𝔽2)11yescharacteristic
1818C22D3×H(5,𝔽2)11yescharacteristic
1819C22#596611yescharacteristic
1820C4—22no—
1821C4—22no—
1822C4—34no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—62no—
1833C4—62no—
1834C4—62no—
1835C4—62no—
1836C4—62no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C3#5909911yescharacteristic, complemented, Sylow
1844C2—42no—
1845C2—42no—
1846C2—42no—
1847C2—81no—
1848C2—122no—
1849C2—122no—
1850C2—122no—
1851C2—241no—
1852C2#8630811yescharacteristic
1853C2#8639211yescharacteristic
1854C2#8648611yescharacteristic
1855C2#8662611yescharacteristic
1856C2D3×#54611yescharacteristic
1857C2#8687611yescharacteristic
1858C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2688C2
hypercenter#2688D3
hypocenterC3#59099
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. C2×#5610C2semidirect
2. C2×#5596C2semidirect
3. C3×#2688C2semidirect
4. #82720C2semidirect
5. #82701C2semidirect
6. #78148C2semidirect
7. #78138C2semidirect
8. #77517C2semidirect
9. #77474C2semidirect
10. #77467C2semidirect
11. #77466C2semidirect
12. #76896C2semidirect
13. #76894C2semidirect
14. #76754C2semidirect
15. #76678C2semidirect
16. #76673C2semidirect
17. #76672C2semidirect
18. #74917C2semidirect
19. #74885C2semidirect
20. #74879C2semidirect
21. #74878C2semidirect
22. #74758C2semidirect
23. #74753C2semidirect
24. #74728C2semidirect
25. #74679C2semidirect
26. #74677C2semidirect
27. #74658C2semidirect
28. #74596C2semidirect
29. #74425C2semidirect
30. #74139C2semidirect
31. #74052C2semidirect
34. C22×#237C22semidirect
35. C22×#237C22semidirect
38. C2×C3×#121C22semidirect
42. C2×#939C22semidirect
48. C2×D4×Dic3C22semidirect
49. C2×#930C22semidirect
53. C2×C4×#67C22semidirect
56. C2×#924C22semidirect
57. C22×C4×Dic3C22semidirect
61. C2×#896C22semidirect
63. C2×#893C22semidirect
64. C2×#888C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
68. C2×#885C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×#67⋊C4C22semidirect
79. C2×#877C22semidirect
80. C3×#400C22semidirect
81. C3×#397C22semidirect
82. C3×#397C22semidirect
83. C3×#394C22semidirect
85. C3×#392C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#385C22semidirect
92. C3×#381C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5222C22semidirect
98. #5221C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. C4×#217C22semidirect
106. #4994C22semidirect
108. #4989C22semidirect
110. #4987C22semidirect
111. #4976C22semidirect
112. #4973C22semidirect
116. #4960C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
122. #4958C22semidirect
123. #4958C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
138. #4952C22semidirect
139. #4948C22semidirect
140. #4947C22semidirect
141. #4946C22semidirect
142. #4946C22semidirect
143. #4945C22semidirect
144. #4944C22semidirect
145. #4943C22semidirect
146. #4942C22semidirect
147. Dic3×C22⋊C4C22semidirect
148. Dic3×C22⋊C4C22semidirect
149. Dic3×C22⋊C4C22semidirect
150. #4675C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
155. #4673C22semidirect
157. #4672C22semidirect
160. #4670C22semidirect
163. #4669C22semidirect
164. #4668C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. #4660C22semidirect
180. #4652C22semidirect
181. #4652C22semidirect
182. #4649C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
193. #2688D3semidirect
308. #939D4semidirect
454. C2×#121C2×D3semidirect
477. #400C2×D3semidirect
482. #397C2×D3semidirect
483. #397C2×D3semidirect
493. #394C2×D3semidirect
507. #392C2×D3semidirect
557. #386C2×D3semidirect
558. #386C2×D3semidirect
559. #386C2×D3semidirect
560. #386C2×D3semidirect
565. #385C2×D3semidirect
568. #381C2×D3semidirect
681. C2×#67#41semidirect
810. (C2×D3)⋊C4#41semidirect
1843. C3#59099semidirect

Maximal subgroups

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

subgroupindex
C2×#56102
C2×#55962
C3×#26882
#827202
#827012
#781482
#781382
#775172
#774742
#774672
#774662
#768962
#768942
#767542
#766782
#766732
#766722
#749172
#748852
#748792
#748782
#747582
#747532
#747282
#746792
#746772
#746582
#745962
#744252
#741392
#740522
#590993