Finite Group Databasebeta

← #11042462

Subgroups — #11042462

Order 768.

2526 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5690C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic
3C3×#2694C211yesmaximal, characteristic, complemented
4#83068C211yesmaximal, characteristic, complemented
5#82870C211yesmaximal, characteristic, complemented
6#78114C211yesmaximal, characteristic, complemented
7#78108C211yesmaximal, characteristic, complemented
8#78101C211yesmaximal, characteristic, complemented
9#78047C211yesmaximal, characteristic, complemented
10#77958C211yesmaximal, characteristic, complemented
11#77826C211yesmaximal, characteristic, complemented
12#77675C211yesmaximal, characteristic, complemented
13#77543C211yesmaximal, characteristic, complemented
14#77431C211yesmaximal, characteristic, complemented
15#77422C211yesmaximal, characteristic, complemented
16#77107C211yesmaximal, characteristic, complemented
17#76926C211yesmaximal, characteristic, complemented
18#76445C211yesmaximal, characteristic, complemented
19#76330C211yesmaximal, characteristic, complemented
20#76196C211yesmaximal, characteristic, complemented
21#75998C211yesmaximal, characteristic, complemented
22#75848C211yesmaximal, characteristic, complemented
23#75844C211yesmaximal, characteristic, complemented
24#75642C211yesmaximal, characteristic, complemented
25#75462C211yesmaximal, characteristic, complemented
26#75390C211yesmaximal, characteristic, complemented
27#75306C211yesmaximal, characteristic, complemented
28#74631C211yesmaximal, characteristic, complemented
29D3×#385C211yesmaximal, characteristic, complemented
30#74049C211yesmaximal, characteristic, complemented
31#74038C211yesmaximal, characteristic, complemented
32#38359—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#936C2211yescharacteristic
39C2×#929C2211yescharacteristic
40C2×#924C2211yescharacteristic
41#5690—28no—
42#5656—28no—
43C2×#897C2211yescharacteristic
44C2×#897C2211yescharacteristic
45C2×#897C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic
49C2×#896C2211yescharacteristic
50C2×#896C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×#890C2211yescharacteristic, complemented
60C2×#888C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#877C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C2×#869C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#399C2211yescharacteristic
76C3×#399C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#390C2211yescharacteristic
82C3×#389C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic
87C3×#380C2211yescharacteristic
88#5222C2211yescharacteristic
89#5210C2211yescharacteristic
90#4992C2211yescharacteristic
91#4992C2211yescharacteristic
92#4991C2211yescharacteristic
93#4991C2211yescharacteristic
94#4990C2211yescharacteristic
95#4990C2211yescharacteristic, complemented
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic, complemented
100#4987C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic
104#4985C2211yescharacteristic, complemented
105#4985C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4981C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117#4973C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4972C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4957C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic, complemented
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4953C2211yescharacteristic
136#4952C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic
139#4950C2211yescharacteristic
140#4950C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4947C2211yescharacteristic
146#4947C2211yescharacteristic, complemented
147#4946C2211yescharacteristic
148#4946C2211yescharacteristic, complemented
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic
151#4944C2211yescharacteristic
152#4944C2211yescharacteristic, complemented
153#4940C2211yescharacteristic
154#4940C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157#4933C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4673C2211yescharacteristic
162#4670C2211yescharacteristic
163#4670C2211yescharacteristic, complemented
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4666C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic
179#4661C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C2×#525—31no—
192#2848—31no—
193#2694D311yescharacteristic, complemented
194#2690—31no—
195#2687—31no—
196#2681—31no—
197#2680—31no—
198#2677—31no—
199#2674—31no—
200#2672—31no—
201#2638—31no—
202#2633—31no—
203#2611—31no—
204#2599—31no—
205#2579—31no—
206#2564—31no—
207#2549—31no—
208#2472—31no—
209#2472—31no—
210#2444—31no—
211#2443—31no—
212#2440—31no—
213#2432—31no—
214#2418—31no—
215#2418—31no—
216#2406—31no—
217#2353—31no—
218#2326—31no—
219#2322—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C2×#237—24no—
231C2×#237—42no—
232C2×#237—42no—
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×C4×D3—24no—
236C22×C4×D3—42no—
237C22×C4×D3—42no—
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#125—24no—
254C3×#123—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#937—24no—
290#936—42no—
291#929—24no—
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327#924—42no—
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#897—24no—
351#897—24no—
352#897—42no—
353#896—24no—
354#896—24no—
355#896—24no—
356#896—24no—
357#896—24no—
358#896—24no—
359#894—24no—
360#893—24no—
361#893—24no—
362#893D418yes—
363D3×C4⋊C4—24no—
364D3×C4⋊C4—24no—
365D3×C4⋊C4—42no—
366#890—24no—
367#888—24no—
368#885—24no—
369#884—24no—
370#884—24no—
371#883—42no—
372#883—42no—
373#882—24no—
374#67⋊C4—24no—
375#67⋊C4—24no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—42no—
378#877—24no—
379C4×D12—24no—
380#869—42no—
381C4×Dic6—24no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C24×C4—31no—
422#554—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#125—31no—
426C2×#125C2×D311yescharacteristic, complemented
427C2×#124—31no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×Q8—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×#117—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399C2×D311yescharacteristic
467#399C2×D311yescharacteristic, complemented
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398C2×D311yescharacteristic, complemented
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397C2×D311yescharacteristic, complemented
482#396—31no—
483#396C2×D311yescharacteristic, complemented
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394C2×D311yescharacteristic
499#393—31no—
500#393—31no—
501#393—31no—
502#391—31no—
503#391—31no—
504#390—31no—
505#390C2×D311yescharacteristic
506#389—31no—
507#389—31no—
508#389—31no—
509#389C2×D311yescharacteristic, complemented
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388C2×D311yescharacteristic
521#388C2×D311yescharacteristic, complemented
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387C2×D311yescharacteristic, complemented
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#386—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#384—31no—
561#383—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic
569#379—31no—
570#379—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574#376—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—41no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—41no—
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639#237—416no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—41no—
645C2×D12C2×D414yes—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—416no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3C2×D414yes—
679C2×C4×D3C2×D414yes—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4C2×D414yes—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C42—22no—
716C3×C42—41no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
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—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4C2×D414yes—
748(C2×D3)⋊C4C2×D414yes—
749(C2×D3)⋊C4#4114yescomplemented
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
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—22no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3C2×D414yes—
783C25—31no—
784C2×#41—64no—
785C2×#41—122no—
786C2×#41—122no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—31no—
790C22×Q8—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—64no—
812C23×C4—122no—
813C23×C4—122no—
814C23×C4C22×D311yescharacteristic
815C4⋊Q8—64no—
816C4⋊Q8—122no—
817#125—24no—
818#125—64no—
819#124—64no—
820#124—122no—
821#123—24no—
822#123—64no—
823#123—64no—
824#123—122no—
825#123—122no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—122no—
835C22⋊Q8—122no—
836#121—64no—
837#121—64no—
838#120—64no—
839#120—64no—
840C4×Q8—64no—
841C4×D4—38no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—64no—
846C4×D4—64no—
847#117—64no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
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⋊C4—31no—
875C2×C4⋊C4—64no—
876C2×C4⋊C4—64no—
877C2×C4⋊C4—122no—
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—64no—
924C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
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#95—31no—
973#95—31no—
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×C3—21no—
995C23×C3H(5,𝔽2)12yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—28no—
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—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3C22×D412yes—
1021C22×D3C22×D412yes—
1022C22×D3C2×#4112yes—
1023C22×D32−1+412yes—
1024C22×D32−1+412yes—
1025C3×D4—44no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
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—44no—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C2×#4112yes—
1066#67—44no—
1067#67—44no—
1068#67—44no—
1069#67—44no—
1070C2×Dic3—28no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
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—44no—
1107C2×Dic3C22×D412yes—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C2×#4112yes—
1110C2×Dic3H(5,𝔽2)12yes—
1111D12—28no—
1112D12—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—44no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—82no—
1122C4×D3—82no—
1123C4×D3—82no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—82no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—121no—
1137C24—121no—
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140#41—1216no—
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—121no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—34no—
1156C2×D4—41no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—34no—
1181C22×C4—34no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—41no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—1216no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4D3×D414yes—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—34no—
1289C22⋊C4—34no—
1290C22⋊C4—34no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
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—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
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—
1326C42—22no—
1327C42—34no—
1328C42—41no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3C23×D411yescharacteristic
1349C22×C3C22×#4111yescharacteristic
1350C22×C3C2×H(5,𝔽2)11yescharacteristic
1351C22×C3C2×H(5,𝔽2)11yescharacteristic
1352C22×C3C2×2−1+411yescharacteristic
1353C22×C3C2×2−1+411yescharacteristic
1354C22×C3#58511yescharacteristic
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—416no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3#53614yes—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—32no—
1417C23—32no—
1418C23—32no—
1419C23—32no—
1420C23—32no—
1421C23—68no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—124no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23—124no—
1443C23—124no—
1444C23#100912yes—
1445C23C24×D311yescharacteristic
1446Q8—124no—
1447Q8—124no—
1448Q8—242no—
1449Q8—242no—
1450D4—44no—
1451D4—68no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—32no—
1493C2×C4—32no—
1494C2×C4—32no—
1495C2×C4—32no—
1496C2×C4—44no—
1497C2×C4—68no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—124no—
1534C2×C4—124no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4C2×D3×D412yes—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4D3×#4112yes—
1549C2×C3—42no—
1550C2×C3—81no—
1551C2×C3C2×#53611yescharacteristic
1552C2×C3D4×#4111yescharacteristic
1553C2×C3#348411yescharacteristic
1554C2×C3#349211yescharacteristic
1555C2×C3#352011yescharacteristic
1556C2×C3#353511yescharacteristic
1557C2×C3#354111yescharacteristic
1558D3—24no—
1559D3—42no—
1560D3—42no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—34no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
1582C22—62no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—1216no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22C22×D3×D411yescharacteristic
1598C22C2×D3×#4111yescharacteristic
1599C22C2×#100911yescharacteristic
1600C22D3×H(5,𝔽2)11yescharacteristic
1601C22#596611yescharacteristic
1602C22D3×2−1+411yescharacteristic
1603C22D3×2−1+411yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—62no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3835911yescharacteristic, complemented, Sylow
1631C2—42no—
1632C2—64no—
1633C2—81no—
1634C2—122no—
1635C2—122no—
1636C2D3×#53611yescharacteristic
1637C2#8645611yescharacteristic
1638C2#8646011yescharacteristic
1639C2#8666211yescharacteristic
1640C2#8676611yescharacteristic
1641C2#8686011yescharacteristic
1642C2#8709611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2694C2
prime radicalC2×#5656C2
hypercenter#2694D3
hypocenterC3#38359
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#5690C2semidirect
3. C3×#2694C2semidirect
4. #83068C2semidirect
5. #82870C2semidirect
6. #78114C2semidirect
7. #78108C2semidirect
8. #78101C2semidirect
9. #78047C2semidirect
10. #77958C2semidirect
11. #77826C2semidirect
12. #77675C2semidirect
13. #77543C2semidirect
14. #77431C2semidirect
15. #77422C2semidirect
16. #77107C2semidirect
17. #76926C2semidirect
18. #76445C2semidirect
19. #76330C2semidirect
20. #76196C2semidirect
21. #75998C2semidirect
22. #75848C2semidirect
23. #75844C2semidirect
24. #75642C2semidirect
25. #75462C2semidirect
26. #75390C2semidirect
27. #75306C2semidirect
28. #74631C2semidirect
29. D3×#385C2semidirect
30. #74049C2semidirect
31. #74038C2semidirect
35. C2×C3×#125C22semidirect
45. C2×#897C22semidirect
50. C2×#896C22semidirect
51. C2×#896C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×#890C22semidirect
60. C2×#888C22semidirect
65. C2×#883C22semidirect
73. C2×#869C22semidirect
74. C2×C4×Dic6C22semidirect
76. C3×#399C22semidirect
77. C3×#398C22semidirect
78. C3×#397C22semidirect
79. C3×#396C22semidirect
82. C3×#389C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
95. #4990C22semidirect
99. #4989C22semidirect
104. #4985C22semidirect
105. #4985C22semidirect
106. #4982C22semidirect
107. #4981C22semidirect
108. #4980C22semidirect
109. #4980C22semidirect
110. #4980C22semidirect
111. #4980C22semidirect
112. #4979C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4976C22semidirect
116. #4975C22semidirect
117. #4973C22semidirect
118. #4972C22semidirect
119. #4972C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
132. #4956C22semidirect
140. #4950C22semidirect
141. #4950C22semidirect
142. #4950C22semidirect
143. #4949C22semidirect
144. #4948C22semidirect
146. #4947C22semidirect
148. #4946C22semidirect
152. #4944C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. #4933C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
163. #4670C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
179. #4661C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4651C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
193. #2694D3semidirect
426. C2×#125C2×D3semidirect
467. #399C2×D3semidirect
474. #398C2×D3semidirect
481. #397C2×D3semidirect
483. #396C2×D3semidirect
509. #389C2×D3semidirect
521. #388C2×D3semidirect
529. #387C2×D3semidirect
749. (C2×D3)⋊C4#41semidirect
1630. C3#38359semidirect

Maximal subgroups

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

subgroupindex
C2×#56902
C2×#56562
C3×#26942
#830682
#828702
#781142
#781082
#781012
#780472
#779582
#778262
#776752
#775432
#774312
#774222
#771072
#769262
#764452
#763302
#761962
#759982
#758482
#758442
#756422
#754622
#753902
#753062
#746312
D3×#3852
#740492
#740382
#383593