Finite Group Databasebeta

← #11635220

Subgroups — #11635220

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×#5832C211yesmaximal, characteristic, complemented
2C2×#5610C211yesmaximal, characteristic, complemented
3C3×#2407C211yesmaximal, characteristic, complemented
4#84096C211yesmaximal, characteristic, complemented
5#82769C211yesmaximal, characteristic, complemented
6#82766C211yesmaximal, characteristic, complemented
7#82689C211yesmaximal, characteristic, complemented
8#82398C211yesmaximal, characteristic, complemented
9#82343C211yesmaximal, characteristic, complemented
10#77011C211yesmaximal, characteristic, complemented
11#76945C211yesmaximal, characteristic, complemented
12#76926C211yesmaximal, characteristic, complemented
13#76896C211yesmaximal, characteristic, complemented
14#76772C211yesmaximal, characteristic, complemented
15#76691C211yesmaximal, characteristic, complemented
16#76673C211yesmaximal, characteristic, complemented
17#76672C211yesmaximal, characteristic, complemented
18#76539C211yesmaximal, characteristic, complemented
19#76517C211yesmaximal, characteristic, complemented
20#76463C211yesmaximal, characteristic, complemented
21#76305C211yesmaximal, characteristic, complemented
22#74886C211yesmaximal, characteristic, complemented
23#74878C211yesmaximal, characteristic, complemented
24#74714C211yesmaximal, characteristic, complemented
25#74658C211yesmaximal, characteristic, complemented
26#74596C211yesmaximal, characteristic, complemented
27#74420C211yesmaximal, characteristic, complemented
28#74404C211yesmaximal, characteristic, complemented
29#74380C211yesmaximal, characteristic, complemented
30#73904C211yesmaximal, characteristic, complemented
31#73895C211yesmaximal, characteristic, complemented
32#59099—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic, complemented
34C22×#237C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×#235C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic, complemented
40#5832—28no—
41C2×#947C2211yescharacteristic, complemented
42C2×#944C2211yescharacteristic, complemented
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic, complemented
48C2×#939C2211yescharacteristic, complemented
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#936C2211yescharacteristic, complemented
54C2×#935C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic
56C2×C4×#67C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic, complemented
58C2×C4×#67C2211yescharacteristic, complemented
59C2×C4×#67C2211yescharacteristic, complemented
60C22×(C2×D3)⋊C4C2211yescharacteristic
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C22×C4×Dic3C2211yescharacteristic, complemented
63#5610—28no—
64C2×#896C2211yescharacteristic
65C2×#896C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic
67C2×#893C2211yescharacteristic, complemented
68C2×#886C2211yescharacteristic
69C2×#885C2211yescharacteristic
70C2×#885C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×#877C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic, complemented
84C3×#391C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic, complemented
91#5231C2211yescharacteristic
92#5231C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5221C2211yescharacteristic, complemented
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5211C2211yescharacteristic, complemented
109#5210C2211yescharacteristic, complemented
110#4994C2211yescharacteristic, complemented
111#4992C2211yescharacteristic, complemented
112#4992C2211yescharacteristic, complemented
113#4991C2211yescharacteristic
114#4991C2211yescharacteristic, complemented
115#4990C2211yescharacteristic
116#4990C2211yescharacteristic
117#4990C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4989C2211yescharacteristic, complemented
120#4988C2211yescharacteristic
121#4985C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125Dic3×C4⋊C4C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic, complemented
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4958C2211yescharacteristic, complemented
135#4958C2211yescharacteristic, complemented
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4953C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4952C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4943C2211yescharacteristic, complemented
158Dic3×C22⋊C4C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162#4940C2211yescharacteristic
163#4939C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4674C2211yescharacteristic, complemented
167#4673C2211yescharacteristic
168#4671C2211yescharacteristic
169#4669C2211yescharacteristic
170#4669C2211yescharacteristic, complemented
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#532—31no—
192#2688—31no—
193#2688—31no—
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#2407D311yescharacteristic, complemented
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
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C2×#237—24no—
254C2×#237—24no—
255C2×#237—42no—
256C2×D3×D4—24no—
257C2×D3×D4—24no—
258C2×D3×D4—42no—
259C2×#235—24no—
260C2×#235—42no—
261C2×#235—42no—
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×C22⋊Q8—42no—
275C3×#121—24no—
276C3×C4×D4—42no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#947—24no—
310#944—24no—
311#940—24no—
312#940—24no—
313#939—24no—
314#939—24no—
315#939—24no—
316#939D418yescomplemented
317#937—24no—
318#937—24no—
319#937—24no—
320#937—42no—
321#936—24no—
322#935—24no—
323C4×#67—24no—
324C4×#67—24no—
325C4×#67—24no—
326C4×#67—24no—
327C4×#67—24no—
328C2×(C2×D3)⋊C4—24no—
329C2×(C2×D3)⋊C4—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3—24no—
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#896—24no—
384#896—42no—
385#894—24no—
386#893—42no—
387#886—24no—
388#885—24no—
389#885—42no—
390#884—24no—
391#884—42no—
392#882—24no—
393#882—42no—
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×#41C2×D311yescharacteristic, complemented
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⋊Q8C2×D311yescharacteristic, complemented
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
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×D4C2×D311yescharacteristic, complemented
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#400—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
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#394C2×D311yescharacteristic, complemented
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#391C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic, complemented
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#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#385—31no—
562#385—31no—
563#385—31no—
564#385C2×D311yescharacteristic, complemented
565#385C2×D311yescharacteristic, complemented
566#381—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380C2×D311yescharacteristic, complemented
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
608C3×#41—416no—
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—41no—
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×D4C2×D414yes—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
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—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67C2×D414yes—
687C2×#67C2×D414yes—
688C2×#67#4114yescomplemented
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3C2×D414yes—
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713#237—416no—
714D3×D4—416no—
715#235—416no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
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—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—22no—
751C2×Dic6—41no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—41no—
756C3×C4⋊C4—41no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C42—41no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217C2×D414yes—
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—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
813(C2×D3)⋊C4#4114yescomplemented
814C4⋊Dic3—22no—
815C4⋊Dic3—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—41no—
824Dic3⋊C4—41no—
825Dic3⋊C4C2×D414yes—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C25—31no—
837C25—31no—
838C2×#41—24no—
839C2×#41—42no—
840C2×#41—42no—
841C2×#41—64no—
842C2×#41—64no—
843C2×#41—64no—
844C2×#41—122no—
845C2×#41—122no—
846C2×#41—122no—
847C22×Q8—31no—
848C22×Q8—31no—
849C22×Q8C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
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—42no—
900C22⋊Q8—64no—
901C22⋊Q8—122no—
902#121—24no—
903#121—38no—
904#121—64no—
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—42no—
916C4×D4—64no—
917C4×D4—64no—
918C4×D4—64no—
919C4×D4—64no—
920C4×D4—64no—
921C4×D4—64no—
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⋊C4C22×D311yescharacteristic
938C2×C4⋊C4C22×D311yescharacteristic
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—31no—
986C2×C22⋊C4—64no—
987C2×C22⋊C4—64no—
988C2×C22⋊C4—122no—
989C2×C22⋊C4—122no—
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—64no—
1013C2×C42C22×D311yescharacteristic
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#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
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×Q8—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—44no—
1121C3×D4—44no—
1122C2×C3×C4—28no—
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—44no—
1154C2×C3×C4—82no—
1155C2×C3×C4C22×D412yes—
1156C2×C3×C4C2×#4112yes—
1157C2×C3×C4H(5,𝔽2)12yes—
1158C2×C3×C4H(5,𝔽2)12yes—
1159#67—28no—
1160#67—28no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
1169#67—82no—
1170#67—82no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—28no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—82no—
1205C2×Dic3C22×D412yes—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C2×#4112yes—
1209C2×Dic3C2×#4112yes—
1210C2×Dic3H(5,𝔽2)12yes—
1211D12—44no—
1212D12—44no—
1213D12—44no—
1214D12—82no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—44no—
1219C4×D3—82no—
1220C4×D3—82no—
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—416no—
1246#41—1216no—
1247#41—1216no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—41no—
1251C2×Q8—62no—
1252C2×Q8—62no—
1253C2×Q8—62no—
1254C2×Q8—62no—
1255C2×Q8—62no—
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—22no—
1266C2×D4—34no—
1267C2×D4—34no—
1268C2×D4—34no—
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—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—
1322C2×D4—1216no—
1323C2×D4D3×D414yes—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—31no—
1333C22×C4—34no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—31no—
1343C22×C4—31no—
1344C22×C4—31no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
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—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4—121no—
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—34no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
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—62no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—34no—
1413C22⋊C4—34no—
1414C22⋊C4—34no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
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—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—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—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C42—41no—
1463C42—62no—
1464C42—62no—
1465C42—62no—
1466C42—62no—
1467C42—62no—
1468C42—62no—
1469C42—62no—
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—22no—
1541C3×C4—22no—
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—41no—
1553Dic3—41no—
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—44no—
1633Q8—124no—
1634Q8—124no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—44no—
1641D4—68no—
1642D4—68no—
1643D4—124no—
1644D4—124no—
1645D4—124no—
1646D4—124no—
1647D4—124no—
1648D4—124no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—242no—
1654D4—242no—
1655D4—242no—
1656D4—242no—
1657C2×C4—28no—
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—32no—
1688C2×C4—32no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—68no—
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—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—82no—
1727C2×C4—124no—
1728C2×C4—124no—
1729C2×C4—124no—
1730C2×C4—124no—
1731C2×C4—124no—
1732C2×C4—124no—
1733C2×C4—242no—
1734C2×C4—242no—
1735C2×C4—242no—
1736C2×C4C2×D3×D412yes—
1737C2×C4#100412yes—
1738C2×C4#100412yes—
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×#100411yescharacteristic
1815C22C2×#100411yescharacteristic
1816C22C2×D3×#4111yescharacteristic
1817C22C2×D3×#4111yescharacteristic
1818C22D3×H(5,𝔽2)11yescharacteristic
1819C22#596811yescharacteristic
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—34no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—62no—
1833C4—62no—
1834C4—62no—
1835C4—121no—
1836C4—121no—
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#8591911yescharacteristic
1853C2#8603811yescharacteristic
1854C2#8637211yescharacteristic
1855C2D3×#54611yescharacteristic
1856C2#8667411yescharacteristic
1857C2#8671711yescharacteristic
1858C2#8677111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2407C2
hypercenter#2407D3
hypocenterC3#59099
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2407

Complements

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

NH ≅ G/Ntype
1. C2×#5832C2semidirect
2. C2×#5610C2semidirect
3. C3×#2407C2semidirect
4. #84096C2semidirect
5. #82769C2semidirect
6. #82766C2semidirect
7. #82689C2semidirect
8. #82398C2semidirect
9. #82343C2semidirect
10. #77011C2semidirect
11. #76945C2semidirect
12. #76926C2semidirect
13. #76896C2semidirect
14. #76772C2semidirect
15. #76691C2semidirect
16. #76673C2semidirect
17. #76672C2semidirect
18. #76539C2semidirect
19. #76517C2semidirect
20. #76463C2semidirect
21. #76305C2semidirect
22. #74886C2semidirect
23. #74878C2semidirect
24. #74714C2semidirect
25. #74658C2semidirect
26. #74596C2semidirect
27. #74420C2semidirect
28. #74404C2semidirect
29. #74380C2semidirect
30. #73904C2semidirect
31. #73895C2semidirect
33. C22×C3×#41C22semidirect
36. C22×#235C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
39. C2×C3×C4×D4C22semidirect
41. C2×#947C22semidirect
42. C2×#944C22semidirect
46. C2×#939C22semidirect
47. C2×#939C22semidirect
48. C2×#939C22semidirect
53. C2×#936C22semidirect
57. C2×C4×#67C22semidirect
58. C2×C4×#67C22semidirect
59. C2×C4×#67C22semidirect
62. C22×C4×Dic3C22semidirect
65. C2×#896C22semidirect
67. C2×#893C22semidirect
70. C2×#885C22semidirect
79. C2×#877C22semidirect
80. C3×#394C22semidirect
81. C3×#394C22semidirect
83. C3×#392C22semidirect
84. C3×#391C22semidirect
85. C3×#390C22semidirect
87. C3×#386C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. C3×#380C22semidirect
92. #5231C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5221C22semidirect
99. #5220C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. #5211C22semidirect
109. #5210C22semidirect
110. #4994C22semidirect
111. #4992C22semidirect
112. #4992C22semidirect
114. #4991C22semidirect
117. #4990C22semidirect
118. #4989C22semidirect
119. #4989C22semidirect
121. #4985C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
124. Dic3×C4⋊C4C22semidirect
125. Dic3×C4⋊C4C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
130. #4960C22semidirect
132. #4959C22semidirect
133. #4958C22semidirect
134. #4958C22semidirect
135. #4958C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
150. #4953C22semidirect
151. #4952C22semidirect
152. #4952C22semidirect
153. #4948C22semidirect
154. #4947C22semidirect
155. #4944C22semidirect
156. #4944C22semidirect
157. #4943C22semidirect
158. Dic3×C22⋊C4C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. Dic3×C22⋊C4C22semidirect
163. #4939C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. C4×Dic3⋊C4C22semidirect
166. #4674C22semidirect
170. #4669C22semidirect
172. #4667C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. #4658C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
211. #2407D3semidirect
316. #939D4semidirect
431. C22×#41C2×D3semidirect
447. C2×C22⋊Q8C2×D3semidirect
469. C2×C4×D4C2×D3semidirect
492. #394C2×D3semidirect
493. #394C2×D3semidirect
507. #392C2×D3semidirect
512. #391C2×D3semidirect
523. #390C2×D3semidirect
560. #386C2×D3semidirect
564. #385C2×D3semidirect
565. #385C2×D3semidirect
571. #380C2×D3semidirect
688. C2×#67#41semidirect
813. (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×#58322
C2×#56102
C3×#24072
#840962
#827692
#827662
#826892
#823982
#823432
#770112
#769452
#769262
#768962
#767722
#766912
#766732
#766722
#765392
#765172
#764632
#763052
#748862
#748782
#747142
#746582
#745962
#744202
#744042
#743802
#739042
#738952
#590993