Finite Group Databasebeta

← #11635216

Subgroups — #11635216

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×#5668C211yesmaximal, characteristic, complemented
2C2×#5654C211yesmaximal, characteristic, complemented
3C3×#2557C211yesmaximal, characteristic, complemented
4#82965C211yesmaximal, characteristic, complemented
5#82850C211yesmaximal, characteristic, complemented
6#77694C211yesmaximal, characteristic, complemented
7#77690C211yesmaximal, characteristic, complemented
8#77468C211yesmaximal, characteristic, complemented
9#77466C211yesmaximal, characteristic, complemented
10#76863C211yesmaximal, characteristic, complemented
11#76783C211yesmaximal, characteristic, complemented
12#76673C211yesmaximal, characteristic, complemented
13#76668C211yesmaximal, characteristic, complemented
14#76618C211yesmaximal, characteristic, complemented
15#76517C211yesmaximal, characteristic, complemented
16#76462C211yesmaximal, characteristic, complemented
17#76306C211yesmaximal, characteristic, complemented
18#75852C211yesmaximal, characteristic, complemented
19#75495C211yesmaximal, characteristic, complemented
20#75358C211yesmaximal, characteristic, complemented
21#74940C211yesmaximal, characteristic, complemented
22#74922C211yesmaximal, characteristic, complemented
23#74885C211yesmaximal, characteristic, complemented
24#74879C211yesmaximal, characteristic, complemented
25#74878C211yesmaximal, characteristic, complemented
26#74753C211yesmaximal, characteristic, complemented
27#74700C211yesmaximal, characteristic, complemented
28#73594C211yesmaximal, characteristic, complemented
29#73577C211yesmaximal, characteristic, complemented
30#73563C211yesmaximal, characteristic, complemented
31#73470C211yesmaximal, characteristic, complemented
32#59099—31nomaximal, Sylow
33C22×#239C2211yescharacteristic, complemented
34C22×#237C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic
39C2×#946C2211yescharacteristic, complemented
40C2×#944C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×D4×Dic3C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50#5668—28no—
51#5654—28no—
52C2×#896C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic, complemented
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#875C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic, complemented
78C2×#872C2211yescharacteristic, complemented
79C2×C42×D3C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic, complemented
81C3×#397C2211yescharacteristic, complemented
82C3×#393C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic
84C3×#391C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#387C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93#5231C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5220C2211yescharacteristic
98#5213C2211yescharacteristic, complemented
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101C4×#217C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4990C2211yescharacteristic, complemented
104#4988C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4985C2211yescharacteristic, complemented
107#4978C2211yescharacteristic, complemented
108Dic3×C4⋊C4C2211yescharacteristic, complemented
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic, complemented
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic, complemented
114#4960C2211yescharacteristic, complemented
115#4959C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4958C2211yescharacteristic
118#4958C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic, complemented
126#4957C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4952C2211yescharacteristic, complemented
136#4951C2211yescharacteristic, complemented
137#4950C2211yescharacteristic, complemented
138#4948C2211yescharacteristic, complemented
139#4946C2211yescharacteristic, complemented
140#4943C2211yescharacteristic, complemented
141#4942C2211yescharacteristic, complemented
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic
144#4940C2211yescharacteristic, complemented
145#4939C2211yescharacteristic
146#4939C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4673C2211yescharacteristic
154#4673C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic, complemented
161#4670C2211yescharacteristic
162#4669C2211yescharacteristic
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4667C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, 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#2688—31no—
194#2678—31no—
195#2678—31no—
196#2557—31no—
197#2557D311yescharacteristic, complemented
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×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#239—24no—
244C2×#239—42no—
245C2×#239—42no—
246C2×#237—24no—
247C2×#237—42no—
248C2×#237—42no—
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—42no—
252C2×#235—24no—
253C2×#235—24no—
254C2×#235—42no—
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#124—24no—
275C3×#123—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×C3×C42C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303#946—42no—
304#944—24no—
305#940—24no—
306#940—24no—
307#939—24no—
308#937—24no—
309#937—42no—
310D4×Dic3—42no—
311C4×#67—42no—
312C2×(C2×D3)⋊C4—24no—
313C2×(C2×D3)⋊C4—42no—
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#896—24no—
372#895—24no—
373#894—24no—
374#894—24no—
375#893—24no—
376#885—24no—
377#885—42no—
378#884—24no—
379#884—24no—
380#884—24no—
381#884—42no—
382#884D418yescomplemented
383#882—24no—
384#882—24no—
385#882—24no—
386#882—42no—
387#67⋊C4—24no—
388#67⋊C4—24no—
389#67⋊C4—24no—
390#67⋊C4—24no—
391#67⋊C4—24no—
392D3×C22⋊C4—24no—
393D3×C22⋊C4—42no—
394#878—42no—
395#875—24no—
396C4×D12—42no—
397#872—42no—
398C42×D3—24no—
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×#124C2×D311yescharacteristic, complemented
442C2×#123—31no—
443C2×#123—31no—
444C2×#123C2×D311yescharacteristic
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×#121—31no—
454C2×#121—31no—
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#400—31no—
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#394—31no—
494#393—31no—
495#393—31no—
496#393—31no—
497#393C2×D311yescharacteristic, complemented
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#392—31no—
507#392C2×D311yescharacteristic
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#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic, complemented
560#386C2×D311yescharacteristic, complemented
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#381—31no—
567#381—31no—
568#381—31no—
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⋊C4C2×D311yescharacteristic, complemented
585C4×C22⋊C4C2×D311yescharacteristic, complemented
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×Q8—22no—
609C2×C3×Q8—22no—
610C2×C3×Q8—41no—
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—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
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—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67C2×D414yes—
669C2×#67C2×D414yes—
670C2×#67#4114yescomplemented
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691#239—416no—
692#237—416no—
693D3×D4—416no—
694#235—416no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12C2×D414yes—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3C2×D414yes—
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×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—41no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4C2×D414yes—
768C3×C42—22no—
769C3×C42—41no—
770C3×C42—41no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—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)⋊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—41no—
816C4⋊Dic3—41no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4C2×D414yes—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—22no—
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×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—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—64no—
870C22×D4—64no—
871C22×D4—122no—
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×C4—31no—
887C23×C4C22×D311yescharacteristic
888C23×C4C22×D311yescharacteristic
889C4⋊Q8—64no—
890#127—64no—
891#127—64no—
892#124—24no—
893#124—64no—
894#124—64no—
895#124—122no—
896#123—24no—
897#123—64no—
898#123—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902#121—38no—
903#121—64no—
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—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—64no—
1011C2×C42C22×D311yescharacteristic
1012C2×C42C22×D311yescharacteristic
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#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×C3C22×D412yes—
1064C23×C3C2×#4112yes—
1065C23×C3C2511yescharacteristic
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3—82no—
1111C22×D3C22×D412yes—
1112C22×D3C22×D412yes—
1113C22×D3C2×#4112yes—
1114C22×D3C2×#4112yes—
1115C3×Q8—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—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—44no—
1152C2×C3×C4—82no—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C4C2×#4112yes—
1156C2×C3×C4H(5,𝔽2)12yes—
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—82no—
1166#67—82no—
1167#67—82no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—44no—
1196C2×Dic3—44no—
1197C2×Dic3—82no—
1198C2×Dic3C22×D412yes—
1199C2×Dic3C22×D412yes—
1200C2×Dic3C2×#4112yes—
1201C2×Dic3C2×#4112yes—
1202C2×Dic3H(5,𝔽2)12yes—
1203C2×Dic3H(5,𝔽2)12yes—
1204D12—44no—
1205D12—44no—
1206D12—44no—
1207D12—44no—
1208D12—44no—
1209D12—44no—
1210D12—44no—
1211D12—82no—
1212C4×D3—28no—
1213C4×D3—28no—
1214C4×D3—44no—
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—31no—
1228C24—62no—
1229C24—62no—
1230C24—62no—
1231C24—62no—
1232C24—62no—
1233C24—62no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24—121no—
1241C24—121no—
1242C24C23×D311yescharacteristic
1243C24C23×D311yescharacteristic
1244C24C23×D311yescharacteristic
1245#41—1216no—
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—34no—
1264C2×D4—34no—
1265C2×D4—34no—
1266C2×D4—34no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
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—121no—
1323C2×D4—1216no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—34no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—62no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4C23×D311yescharacteristic
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—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—121no—
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—22no—
1412C22⋊C4—22no—
1413C22⋊C4—34no—
1414C22⋊C4—34no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—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—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4D3×D414yes—
1462C42—22no—
1463C42—41no—
1464C42—41no—
1465C42—62no—
1466C42—62no—
1467C42—62no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—121no—
1472C42—121no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3C23×D411yescharacteristic
1495C22×C3C22×#4111yescharacteristic
1496C22×C3C22×#4111yescharacteristic
1497C22×C3C2×H(5,𝔽2)11yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3C2×H(5,𝔽2)11yescharacteristic
1500C22×C3#58511yescharacteristic
1501C2×D3—22no—
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—22no—
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—22no—
1512C2×D3—22no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
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—
1549C3×C4—41no—
1550Dic3—22no—
1551Dic3—22no—
1552Dic3—22no—
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—32no—
1581C23—32no—
1582C23—32no—
1583C23—32no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—242no—
1622C23—242no—
1623C23—242no—
1624C23—242no—
1625C23—242no—
1626C23—242no—
1627C23—242no—
1628C23—242no—
1629C23C2×D3×D412yes—
1630C23D3×#4112yes—
1631C23C24×D311yescharacteristic
1632Q8—44no—
1633Q8—124no—
1634Q8—124no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—68no—
1639D4—68no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
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—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—21no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—32no—
1694C2×C4—32no—
1695C2×C4—44no—
1696C2×C4—68no—
1697C2×C4—68no—
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—82no—
1726C2×C4—124no—
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×C4C2×D3×D412yes—
1738C2×C4D3×#4112yes—
1739C2×C4#100912yes—
1740C2×C3—42no—
1741C2×C3—42no—
1742C2×C3—81no—
1743C2×C3C2×#54611yescharacteristic
1744C2×C3D4×#4111yescharacteristic
1745C2×C3#348111yescharacteristic
1746C2×C3#348411yescharacteristic
1747C2×C3#350811yescharacteristic
1748C2×C3#351411yescharacteristic
1749C2×C3#354611yescharacteristic
1750D3—42no—
1751D3—42no—
1752D3—42no—
1753D3—42no—
1754D3—81no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
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—62no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—62no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
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
1816C22C2×#100911yescharacteristic
1817C22#596411yescharacteristic
1818C22D3×H(5,𝔽2)11yescharacteristic
1819C22D3×H(5,𝔽2)11yescharacteristic
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—41no—
1833C4—62no—
1834C4—62no—
1835C4—62no—
1836C4—121no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C3#5909911yescharacteristic, complemented, Sylow
1844C2—42no—
1845C2—42no—
1846C2—81no—
1847C2—122no—
1848C2—122no—
1849C2—122no—
1850C2—122no—
1851C2—241no—
1852C2#8616211yescharacteristic
1853C2#8623811yescharacteristic
1854C2#8640111yescharacteristic
1855C2D3×#54611yescharacteristic
1856C2#8666211yescharacteristic
1857C2#8679111yescharacteristic
1858C2#8705111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2557C2
hypercenter#2557D3
hypocenterC3#59099
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×#5668C2semidirect
2. C2×#5654C2semidirect
3. C3×#2557C2semidirect
4. #82965C2semidirect
5. #82850C2semidirect
6. #77694C2semidirect
7. #77690C2semidirect
8. #77468C2semidirect
9. #77466C2semidirect
10. #76863C2semidirect
11. #76783C2semidirect
12. #76673C2semidirect
13. #76668C2semidirect
14. #76618C2semidirect
15. #76517C2semidirect
16. #76462C2semidirect
17. #76306C2semidirect
18. #75852C2semidirect
19. #75495C2semidirect
20. #75358C2semidirect
21. #74940C2semidirect
22. #74922C2semidirect
23. #74885C2semidirect
24. #74879C2semidirect
25. #74878C2semidirect
26. #74753C2semidirect
27. #74700C2semidirect
28. #73594C2semidirect
29. #73577C2semidirect
30. #73563C2semidirect
31. #73470C2semidirect
33. C22×#239C22semidirect
34. C22×#237C22semidirect
37. C2×C3×#124C22semidirect
39. C2×#946C22semidirect
40. C2×#944C22semidirect
46. C2×D4×Dic3C22semidirect
58. C2×#885C22semidirect
61. C2×#884C22semidirect
62. C2×#884C22semidirect
63. C2×#884C22semidirect
70. C2×#67⋊C4C22semidirect
71. C2×#67⋊C4C22semidirect
72. C2×#67⋊C4C22semidirect
75. C2×#878C22semidirect
76. C2×#875C22semidirect
77. C2×C4×D12C22semidirect
78. C2×#872C22semidirect
79. C2×C42×D3C22semidirect
80. C3×#397C22semidirect
81. C3×#397C22semidirect
82. C3×#393C22semidirect
84. C3×#391C22semidirect
85. C3×#390C22semidirect
86. C3×#388C22semidirect
87. C3×#387C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×C4×C22⋊C4C22semidirect
92. C3×C4×C22⋊C4C22semidirect
95. #5223C22semidirect
96. #5222C22semidirect
98. #5213C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. C4×#217C22semidirect
102. #4992C22semidirect
103. #4990C22semidirect
104. #4988C22semidirect
105. #4987C22semidirect
106. #4985C22semidirect
107. #4978C22semidirect
108. Dic3×C4⋊C4C22semidirect
110. #4961C22semidirect
113. #4960C22semidirect
114. #4960C22semidirect
115. #4959C22semidirect
116. #4959C22semidirect
118. #4958C22semidirect
119. #4958C22semidirect
125. #4957C22semidirect
126. #4957C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4956C22semidirect
135. #4952C22semidirect
136. #4951C22semidirect
137. #4950C22semidirect
138. #4948C22semidirect
139. #4946C22semidirect
140. #4943C22semidirect
141. #4942C22semidirect
144. #4940C22semidirect
146. #4939C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×Dic3⋊C4C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4674C22semidirect
154. #4673C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
160. #4671C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
165. #4668C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4664C22semidirect
181. #4664C22semidirect
182. #4658C22semidirect
183. #4649C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
197. #2557D3semidirect
382. #884D4semidirect
441. C2×#124C2×D3semidirect
482. #397C2×D3semidirect
483. #397C2×D3semidirect
497. #393C2×D3semidirect
512. #391C2×D3semidirect
523. #390C2×D3semidirect
533. #388C2×D3semidirect
535. #387C2×D3semidirect
559. #386C2×D3semidirect
560. #386C2×D3semidirect
584. C4×C22⋊C4C2×D3semidirect
585. C4×C22⋊C4C2×D3semidirect
670. 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×#56682
C2×#56542
C3×#25572
#829652
#828502
#776942
#776902
#774682
#774662
#768632
#767832
#766732
#766682
#766182
#765172
#764622
#763062
#758522
#754952
#753582
#749402
#749222
#748852
#748792
#748782
#747532
#747002
#735942
#735772
#735632
#734702
#590993