Finite Group Databasebeta

← #11633439

Subgroups — #11633439

Order 768.

2578 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5547C211yesmaximal, characteristic, complemented
2C2×#5532C211yesmaximal, characteristic, complemented
3C3×#2359C211yesmaximal, characteristic, complemented
4#82907C211yesmaximal, characteristic, complemented
5#82845C211yesmaximal, characteristic, complemented
6#82365C211yesmaximal, characteristic, complemented
7#82278C211yesmaximal, characteristic, complemented
8#76228C211yesmaximal, characteristic, complemented
9#75995C211yesmaximal, characteristic, complemented
10#75917C211yesmaximal, characteristic, complemented
11#75916C211yesmaximal, characteristic, complemented
12#75547C211yesmaximal, characteristic, complemented
13#75496C211yesmaximal, characteristic, complemented
14#75358C211yesmaximal, characteristic, complemented
15#75320C211yesmaximal, characteristic, complemented
16#75025C211yesmaximal, characteristic, complemented
17#74983C211yesmaximal, characteristic, complemented
18#74919C211yesmaximal, characteristic, complemented
19#74751C211yesmaximal, characteristic, complemented
20#74597C211yesmaximal, characteristic, complemented
21#74420C211yesmaximal, characteristic, complemented
22#74404C211yesmaximal, characteristic, complemented
23#74379C211yesmaximal, characteristic, complemented
24#73781C211yesmaximal, characteristic, complemented
25#73639C211yesmaximal, characteristic, complemented
26#73602C211yesmaximal, characteristic, complemented
27#73590C211yesmaximal, characteristic, complemented
28#73561C211yesmaximal, characteristic, complemented
29#73470C211yesmaximal, characteristic, complemented
30#73377C211yesmaximal, characteristic, complemented
31#73368C211yesmaximal, characteristic, complemented
32#59018—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic, complemented
44C2×C4×#67C2211yescharacteristic, complemented
45#5547—28no—
46#5532—28no—
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic, complemented
49C2×#895C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#892C2211yescharacteristic, complemented
54C2×#888C2211yescharacteristic, complemented
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic, complemented
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic, complemented
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#878C2211yescharacteristic
65C2×#875C2211yescharacteristic
66C2×#875C2211yescharacteristic, complemented
67C2×C4×D12C2211yescharacteristic
68C2×#872C2211yescharacteristic
69C2×#872C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×#872C2211yescharacteristic, complemented
72C3×#389C2211yescharacteristic, complemented
73C3×#388C2211yescharacteristic
74C3×#388C2211yescharacteristic
75C3×#387C2211yescharacteristic, complemented
76C3×#387C2211yescharacteristic, complemented
77C3×#386C2211yescharacteristic
78C3×#385C2211yescharacteristic
79C3×#385C2211yescharacteristic, complemented
80C3×C4×C4⋊C4C2211yescharacteristic, complemented
81C3×C4×C22⋊C4C2211yescharacteristic
82C3×C4×C22⋊C4C2211yescharacteristic, complemented
83C2×C3×#95C2211yescharacteristic, complemented
84#5223C2211yescharacteristic
85#5222C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5211C2211yescharacteristic, complemented
93#5210C2211yescharacteristic, complemented
94C4×#217C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4992C2211yescharacteristic
98#4992C2211yescharacteristic
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4990C2211yescharacteristic, complemented
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4988C2211yescharacteristic
108#4986C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4975C2211yescharacteristic, complemented
114Dic3×C4⋊C4C2211yescharacteristic, complemented
115#4961C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4953C2211yescharacteristic, complemented
128#4952C2211yescharacteristic, complemented
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic, complemented
131#4947C2211yescharacteristic
132#4947C2211yescharacteristic
133#4945C2211yescharacteristic
134#4942C2211yescharacteristic
135#4942C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4939C2211yescharacteristic
142#4939C2211yescharacteristic
143C4×(C2×D3)⋊C4C2211yescharacteristic
144C4×(C2×D3)⋊C4C2211yescharacteristic
145#4933C2211yescharacteristic, complemented
146C4×Dic3⋊C4C2211yescharacteristic, complemented
147#4929C2211yescharacteristic, complemented
148#4929C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4675C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4674C2211yescharacteristic
156#4674C2211yescharacteristic, complemented
157#4673C2211yescharacteristic
158#4673C2211yescharacteristic
159#4672C2211yescharacteristic
160#4671C2211yescharacteristic
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic, complemented
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic, complemented
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic, complemented
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#555—31no—
191C2×#525—31no—
192#2684—31no—
193#2684—31no—
194#2678—31no—
195#2678—31no—
196#2557—31no—
197#2557—31no—
198#2535—31no—
199#2499—31no—
200#2492—31no—
201#2470—31no—
202#2470—31no—
203#2459—31no—
204#2459—31no—
205#2447—31no—
206#2447—31no—
207#2444—31no—
208#2444—31no—
209#2439—31no—
210#2422—31no—
211#2415—31no—
212#2415—31no—
213#2407—31no—
214#2363—31no—
215#2359—31no—
216#2359D311yescharacteristic, complemented
217#2354—31no—
218#2339—31no—
219C4×#120—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×#235—24no—
235C2×#235—24no—
236C2×#235—42no—
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3—24no—
243C22×C4×D3—24no—
244C22×C4×D3—42no—
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C3×#123—24no—
257C3×C4×D4—24no—
258C3×#117—24no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939—24no—
288#937—24no—
289#930—24no—
290C4×#67—24no—
291C4×#67—24no—
292C4×#67—24no—
293C4×#67—42no—
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#896—24no—
355#896—42no—
356#895—24no—
357#894—24no—
358#893—24no—
359#893—24no—
360#892—24no—
361#888—24no—
362#885—24no—
363#885—24no—
364#884—24no—
365#884D418yescomplemented
366#883—24no—
367#883—24no—
368#882—24no—
369#882—24no—
370#67⋊C4—42no—
371#878—24no—
372#875—24no—
373#875—24no—
374C4×D12—24no—
375#872—24no—
376#872—24no—
377#872—24no—
378#872—42no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
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
417C22×#41—31no—
418C24×C4—31no—
419#555—68no—
420C2×C4⋊Q8—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425#525—68no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123C2×D311yescharacteristic
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×#121—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4C2×D311yescharacteristic
450C2×#117—31no—
451C2×#117—31no—
452C2×#117—31no—
453C2×#117—31no—
454C2×#117—31no—
455C2×#117C2×D311yescharacteristic, complemented
456#400—31no—
457#400—31no—
458#397—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#393—31no—
481#393—31no—
482#393—31no—
483#393—31no—
484#392—31no—
485#392—31no—
486#392—31no—
487#392—31no—
488#391—31no—
489#391—31no—
490#391—31no—
491#391—31no—
492#391—31no—
493#391—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388C2×D311yescharacteristic
517#388C2×D311yescharacteristic
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387C2×D311yescharacteristic, complemented
523#387C2×D311yescharacteristic, complemented
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386C2×D311yescharacteristic
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic, complemented
546#384—31no—
547#382—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#379—31no—
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4C2×D311yescharacteristic, complemented
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
571C4×C22⋊C4C2×D311yescharacteristic, complemented
572C2×#95—31no—
573C2×#95C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—41no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67C2×D414yes—
632C2×#67C2×D414yes—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648#235—416no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12C2×D414yes—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—416no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3C2×D414yes—
688C2×C4×D3#4114yes—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—22no—
693C2×Dic6—22no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4C2×D414yes—
712C3×C22⋊C4#4114yescomplemented
713C3×C42—22no—
714C3×C42—22no—
715C3×C42—22no—
716C3×C42—41no—
717C3×C42—41no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—41no—
723#217—41no—
724#217—41no—
725#217—41no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4C2×D414yes—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3—41no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4C2×D414yes—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C2×#41—64no—
788C2×#41—64no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—64no—
815C23×C4—64no—
816C23×C4—122no—
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819C23×C4C22×D311yescharacteristic
820C23×C4C22×D311yescharacteristic
821C4⋊Q8—64no—
822#124—64no—
823#124—64no—
824#124—64no—
825#124—64no—
826#123—24no—
827#123—64no—
828#123—64no—
829#123—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—122no—
833#121—38no—
834#121—64no—
835#121—64no—
836#121—64no—
837#121—64no—
838#120—64no—
839#120—64no—
840#120—64no—
841C4×D4—24no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—64no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—122no—
849C4×D4—122no—
850#117—24no—
851#117—64no—
852#117—64no—
853#117—64no—
854#117—64no—
855#117—122no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42C22×D311yescharacteristic
940C2×C42C22×D311yescharacteristic
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3C22×D412yes—
995C23×C3C2×#4112yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3C22×D412yes—
1030C22×D3C22×D412yes—
1031C22×D3C2×#4112yes—
1032C3×D4—44no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—44no—
1068C2×C3×C4—44no—
1069C2×C3×C4—44no—
1070C2×C3×C4—82no—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4C22×D412yes—
1073C2×C3×C4C2×#4112yes—
1074C2×C3×C4C2×#4112yes—
1075C2×C3×C4C2×#4112yes—
1076#67—28no—
1077#67—44no—
1078#67—44no—
1079#67—44no—
1080#67—44no—
1081#67—82no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—44no—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C2×#4112yes—
1118C2×Dic3H(5,𝔽2)12yes—
1119D12—44no—
1120D12—44no—
1121D12—44no—
1122D12—44no—
1123D12—82no—
1124C4×D3—28no—
1125C4×D3—28no—
1126C4×D3—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—82no—
1132Dic6—44no—
1133Dic6—82no—
1134Dic6—82no—
1135C24—31no—
1136C24—31no—
1137C24—31no—
1138C24—31no—
1139C24—62no—
1140C24—62no—
1141C24—62no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24—121no—
1146C24C23×D311yescharacteristic
1147C24C23×D311yescharacteristic
1148#41—1216no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×Q8—62no—
1153C2×Q8—62no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—34no—
1161C2×D4—34no—
1162C2×D4—34no—
1163C2×D4—41no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—34no—
1203C22×C4—34no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—1216no—
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—34no—
1266C4⋊C4—41no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—34no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4#23514yescomplemented
1333C22⋊C4D3×D414yes—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—41no—
1338C42—41no—
1339C42—62no—
1340C42—62no—
1341C42—62no—
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—121no—
1346C42—121no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3C23×D411yescharacteristic
1362C22×C3C22×#4111yescharacteristic
1363C22×C3C22×#4111yescharacteristic
1364C22×C3C2×H(5,𝔽2)11yescharacteristic
1365C22×C3#58511yescharacteristic
1366C22×C3#58511yescharacteristic
1367C22×C3#58511yescharacteristic
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—416no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C3×C4—22no—
1398C3×C4—22no—
1399C3×C4—22no—
1400C3×C4—22no—
1401C3×C4—22no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410Dic3—22no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3#54614yes—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—32no—
1435C23—32no—
1436C23—32no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—124no—
1463C23—124no—
1464C23—124no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23C2×#23512yes—
1470C23C2×D3×D412yes—
1471C23C24×D311yescharacteristic
1472Q8—124no—
1473Q8—242no—
1474Q8—242no—
1475D4—44no—
1476D4—68no—
1477D4—124no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—124no—
1482D4—124no—
1483D4—124no—
1484D4—124no—
1485D4—242no—
1486D4—242no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—32no—
1522C2×C4—32no—
1523C2×C4—32no—
1524C2×C4—32no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—68no—
1529C2×C4—68no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—82no—
1563C2×C4—124no—
1564C2×C4—124no—
1565C2×C4—124no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—242no—
1570C2×C4C2×#23512yes—
1571C2×C4C2×#23512yes—
1572C2×C4C2×D3×D412yes—
1573C2×C4C2×D3×D412yes—
1574C2×C4D3×#4112yes—
1575C2×C3—42no—
1576C2×C3—42no—
1577C2×C3C2×#54611yescharacteristic
1578C2×C3D4×#4111yescharacteristic
1579C2×C3#347511yescharacteristic
1580C2×C3#348511yescharacteristic
1581C2×C3#349311yescharacteristic
1582C2×C3#350611yescharacteristic
1583C2×C3#354011yescharacteristic
1584D3—42no—
1585D3—42no—
1586D3—42no—
1587D3—81no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—62no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—62no—
1607C22—62no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—1216no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22C22×#23511yescharacteristic
1632C22C22×D3×D411yescharacteristic
1633C22C2×D3×#4111yescharacteristic
1634C22#596411yescharacteristic
1635C22#596411yescharacteristic
1636C22D3×H(5,𝔽2)11yescharacteristic
1637C22#596811yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—34no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—62no—
1653C4—121no—
1654C4—121no—
1655C4—121no—
1656C4—121no—
1657C4—121no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C3#5901811yescharacteristic, complemented, Sylow
1664C2—42no—
1665C2—42no—
1666C2—122no—
1667C2—122no—
1668C2—122no—
1669C2—241no—
1670C2D4×#23511yescharacteristic
1671C2#8584111yescharacteristic
1672C2#8589111yescharacteristic
1673C2D3×#54611yescharacteristic
1674C2#8670011yescharacteristic
1675C2#8680411yescharacteristic
1676C2#8686111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2359C2
hypercenter#2359D3
hypocenterC3#59018
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
1. C2×#5547C2semidirect
2. C2×#5532C2semidirect
3. C3×#2359C2semidirect
4. #82907C2semidirect
5. #82845C2semidirect
6. #82365C2semidirect
7. #82278C2semidirect
8. #76228C2semidirect
9. #75995C2semidirect
10. #75917C2semidirect
11. #75916C2semidirect
12. #75547C2semidirect
13. #75496C2semidirect
14. #75358C2semidirect
15. #75320C2semidirect
16. #75025C2semidirect
17. #74983C2semidirect
18. #74919C2semidirect
19. #74751C2semidirect
20. #74597C2semidirect
21. #74420C2semidirect
22. #74404C2semidirect
23. #74379C2semidirect
24. #73781C2semidirect
25. #73639C2semidirect
26. #73602C2semidirect
27. #73590C2semidirect
28. #73561C2semidirect
29. #73470C2semidirect
30. #73377C2semidirect
31. #73368C2semidirect
37. C2×C3×#117C22semidirect
43. C2×C4×#67C22semidirect
44. C2×C4×#67C22semidirect
48. C2×#896C22semidirect
53. C2×#892C22semidirect
54. C2×#888C22semidirect
56. C2×#885C22semidirect
58. C2×#884C22semidirect
66. C2×#875C22semidirect
71. C2×#872C22semidirect
72. C3×#389C22semidirect
75. C3×#387C22semidirect
76. C3×#387C22semidirect
79. C3×#385C22semidirect
80. C3×C4×C4⋊C4C22semidirect
82. C3×C4×C22⋊C4C22semidirect
83. C2×C3×#95C22semidirect
90. #5213C22semidirect
91. #5213C22semidirect
92. #5211C22semidirect
93. #5210C22semidirect
99. #4992C22semidirect
102. #4990C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
108. #4986C22semidirect
109. #4978C22semidirect
110. #4976C22semidirect
111. #4976C22semidirect
112. #4976C22semidirect
113. #4975C22semidirect
114. Dic3×C4⋊C4C22semidirect
122. #4957C22semidirect
127. #4953C22semidirect
128. #4952C22semidirect
130. #4951C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
145. #4933C22semidirect
146. C4×Dic3⋊C4C22semidirect
147. #4929C22semidirect
148. #4929C22semidirect
149. #4928C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
156. #4674C22semidirect
162. #4669C22semidirect
165. #4667C22semidirect
168. #4666C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. #4660C22semidirect
181. #4655C22semidirect
182. #4653C22semidirect
183. #4650C22semidirect
184. #4647C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
216. #2359D3semidirect
365. #884D4semidirect
455. C2×#117C2×D3semidirect
505. #389C2×D3semidirect
522. #387C2×D3semidirect
523. #387C2×D3semidirect
545. #385C2×D3semidirect
562. C4×C4⋊C4C2×D3semidirect
571. C4×C22⋊C4C2×D3semidirect
573. C2×#95C2×D3semidirect
712. C3×C22⋊C4#41semidirect
1332. C22⋊C4#235semidirect
1663. C3#59018semidirect

Maximal subgroups

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

subgroupindex
C2×#55472
C2×#55322
C3×#23592
#829072
#828452
#823652
#822782
#762282
#759952
#759172
#759162
#755472
#754962
#753582
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