Finite Group Databasebeta

← #11034704

Subgroups — #11034704

Order 768.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2412C211yesmaximal, characteristic, complemented
4#82895C211yesmaximal, characteristic, complemented
5#82588C211yesmaximal, characteristic, complemented
6#82581C211yesmaximal, characteristic, complemented
7#82125C211yesmaximal, characteristic, complemented
8#82108C211yesmaximal, characteristic, complemented
9C2×#4957C211yesmaximal, characteristic, complemented
10#77699C211yesmaximal, characteristic, complemented
11#77577C211yesmaximal, characteristic, complemented
12#77547C211yesmaximal, characteristic, complemented
13#77492C211yesmaximal, characteristic, complemented
14#77149C211yesmaximal, characteristic, complemented
15#77017C211yesmaximal, characteristic, complemented
16#76971C211yesmaximal, characteristic, complemented
17#76945C211yesmaximal, characteristic, complemented
18#74885C211yesmaximal, characteristic, complemented
19#74869C211yesmaximal, characteristic, complemented
20#74813C211yesmaximal, characteristic, complemented
21#74807C211yesmaximal, characteristic, complemented
22#74700C211yesmaximal, characteristic, complemented
23#74667C211yesmaximal, characteristic, complemented
24#74406C211yesmaximal, characteristic, complemented
25#74377C211yesmaximal, characteristic, complemented
26#74125C211yesmaximal, characteristic, complemented
27#74079C211yesmaximal, characteristic, complemented
28#74003C211yesmaximal, characteristic, complemented
29#73966C211yesmaximal, characteristic, complemented
30#73964C211yesmaximal, characteristic, complemented
31#73942C211yesmaximal, characteristic, complemented
32#38082—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C22×Dic3⋊C4C2211yescharacteristic
54C22×C4×Dic3C2211yescharacteristic
55#5655—28no—
56C2×#896C2211yescharacteristic, complemented
57C2×#894C2211yescharacteristic, complemented
58C2×#892C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×#888C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#885C2211yescharacteristic
63C2×#885C2211yescharacteristic, complemented
64#5490—28no—
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#878C2211yescharacteristic
76C2×#878C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic
85C3×#381C2211yescharacteristic
86C3×#380C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic, complemented
94#5220C2211yescharacteristic, complemented
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5212C2211yescharacteristic, complemented
100#5212C2211yescharacteristic, complemented
101#5211C2211yescharacteristic
102#4992C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4987C2211yescharacteristic, complemented
111#4978C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4958C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4953C2211yescharacteristic, complemented
147#4953C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4950C2211yescharacteristic
150#4947C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4943C2211yescharacteristic
156#4943C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4674C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4648C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#547—31no—
191C2×#546—31no—
192#2850—31no—
193#2703—31no—
194#2703—31no—
195#2703—31no—
196#2703—31no—
197#2696—31no—
198#2696—31no—
199#2696—31no—
200#2696—31no—
201#2640—31no—
202#2619—31no—
203#2563—31no—
204#2544—31no—
205#2504—31no—
206#2503—31no—
207#2433—31no—
208#2431—31no—
209#2412—31no—
210#2412—31no—
211#2412—31no—
212#2412D311yescharacteristic, complemented
213#2404—31no—
214#2404—31no—
215#2404—31no—
216#2404—31no—
217#2328—31no—
218#2311—31no—
219C2×#390—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67—24no—
231C22×#67—24no—
232C22×#67—42no—
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#237—24no—
252C2×#237—42no—
253C2×#237—42no—
254C2×#235—24no—
255C2×#235—24no—
256C2×#235—24no—
257C2×#235—42no—
258C2×#235—42no—
259C2×#235—42no—
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#123—24no—
275C3×#120—42no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4—24no—
281C2×C3×C22⋊C4—42no—
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297#953—24no—
298#953—42no—
299C2×#217—42no—
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313#940—24no—
314#940—42no—
315#939—24no—
316#937—42no—
317#930—24no—
318#929—24no—
319C4×#67—24no—
320C2×(C2×D3)⋊C4—42no—
321C2×(C2×D3)⋊C4—42no—
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×Dic3⋊C4—24no—
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3—42no—
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#896—24no—
373#894—24no—
374#892—42no—
375D3×C4⋊C4—24no—
376#888—24no—
377#886—24no—
378#885—24no—
379#885—42no—
380#884—24no—
381#884—24no—
382#884—24no—
383#883—24no—
384#883—24no—
385#882—24no—
386#882—42no—
387#67⋊C4—24no—
388#67⋊C4D418yescomplemented
389D3×C22⋊C4—24no—
390#878—24no—
391#878—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C22×#41—31no—
428C22×#41—31no—
429C23×D4—31no—
430#547—68no—
431#546—68no—
432C2×C4⋊Q8—31no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123C2×D311yescharacteristic
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120C2×D311yescharacteristic
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×#117—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4C2×D311yescharacteristic
468C22×C22⋊C4C2×D311yescharacteristic
469C22×C42—31no—
470#400—31no—
471#400—31no—
472#400—31no—
473#400—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397C2×D311yescharacteristic, complemented
481#397C2×D311yescharacteristic, complemented
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394C2×D311yescharacteristic, complemented
489#394C2×D311yescharacteristic, complemented
490#393—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#391—31no—
511#391—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385C2×D311yescharacteristic
564#382—31no—
565#382—31no—
566#382—31no—
567#381—31no—
568#381—31no—
569#381—31no—
570#381C2×D311yescharacteristic
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380C2×D311yescharacteristic, complemented
578#380C2×D311yescharacteristic, complemented
579C4×C4⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582#376—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—41no—
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
637C2×#67—22no—
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—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—416no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67C2×D414yes—
679C2×#67#4114yescomplemented
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—41no—
688C22×Dic3—41no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3C2×D414yes—
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704#237—416no—
705#235—416no—
706#235—416no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
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—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3C2×D414yes—
740C2×Dic6—22no—
741C2×Dic6—22no—
742C2×Dic6—22no—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—41no—
746C2×Dic6—41no—
747C2×Dic6—41no—
748C2×Dic6—41no—
749C3×C4⋊C4—22no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—41no—
752C3×C4⋊C4—41no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4C2×D414yes—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
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—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
809C4⋊Dic3—22no—
810C4⋊Dic3—22no—
811C4⋊Dic3—22no—
812C4⋊Dic3—41no—
813C4⋊Dic3—41no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4C2×D414yes—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—22no—
825C4×Dic3—22no—
826C4×Dic3—41no—
827C4×Dic3—41no—
828C4×Dic3C2×D414yes—
829C25—31no—
830C25C22×D311yescharacteristic
831C2×#41—64no—
832C2×#41—64no—
833C2×#41—64no—
834C2×#41—64no—
835C2×#41—122no—
836C2×#41—122no—
837C2×#41—122no—
838C2×#41—122no—
839C2×#41—122no—
840C22×Q8—31no—
841C22×Q8—31no—
842C22×Q8—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—64no—
863C22×D4—64no—
864C22×D4—122no—
865C22×D4C22×D311yescharacteristic
866C22×D4C22×D311yescharacteristic
867C22×D4C22×D311yescharacteristic
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4C22×D311yescharacteristic
879C23×C4C22×D311yescharacteristic
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882C4⋊Q8—64no—
883#127—64no—
884#127—122no—
885#124—64no—
886#124—122no—
887#123—24no—
888#123—64no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893C22⋊Q8—64no—
894C22⋊Q8—64no—
895C22⋊Q8—64no—
896#121—64no—
897#121—64no—
898#121—64no—
899#121—64no—
900#121—64no—
901#120—42no—
902#120—64no—
903#120—64no—
904#120—122no—
905#120—122no—
906#120—122no—
907C4×D4—38no—
908C4×D4—64no—
909C4×D4—64no—
910#117—122no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—64no—
925C2×C4⋊C4—64no—
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C22⋊C4—24no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
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—42no—
973C2×C22⋊C4—64no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4—122no—
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—122no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
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#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033#95C22×D311yescharacteristic
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
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—44no—
1059C23×C3—44no—
1060C23×C3—44no—
1061C23×C3—44no—
1062C23×C3—82no—
1063C23×C3—82no—
1064C23×C3—82no—
1065C23×C3C22×D412yes—
1066C23×C3C2×#4112yes—
1067C23×C3H(5,𝔽2)12yes—
1068C23×C3H(5,𝔽2)12yes—
1069C23×C3C2511yescharacteristic
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—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3C22×D412yes—
1104C22×D3C2×#4112yes—
1105C3×D4—44no—
1106C3×D4—82no—
1107C3×D4—82no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
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—44no—
1140C2×C3×C4—44no—
1141C2×C3×C4—44no—
1142C2×C3×C4—82no—
1143C2×C3×C4C22×D412yes—
1144C2×C3×C4C22×D412yes—
1145#67—28no—
1146#67—28no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—44no—
1151#67—44no—
1152#67—44no—
1153#67—44no—
1154#67—82no—
1155#67—82no—
1156#67—82no—
1157#67—82no—
1158#67—82no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—28no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
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—44no—
1192C2×Dic3—44no—
1193C2×Dic3—44no—
1194C2×Dic3C22×D412yes—
1195C2×Dic3C22×D412yes—
1196C2×Dic3C22×D412yes—
1197C2×Dic3C2×#4112yes—
1198C2×Dic3H(5,𝔽2)12yes—
1199D12—44no—
1200D12—44no—
1201D12—82no—
1202D12—82no—
1203D12—82no—
1204C4×D3—28no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—82no—
1210Dic6—44no—
1211Dic6—44no—
1212Dic6—44no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—31no—
1218C24—31no—
1219C24—31no—
1220C24—31no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—121no—
1229C24—121no—
1230C24—121no—
1231C24C23×D311yescharacteristic
1232C24C23×D311yescharacteristic
1233C24C23×D311yescharacteristic
1234C24C23×D311yescharacteristic
1235#41—1216no—
1236#41—1216no—
1237#41—1216no—
1238C2×Q8—62no—
1239C2×Q8—62no—
1240C2×Q8—62no—
1241C2×Q8—62no—
1242C2×Q8—62no—
1243C2×Q8—121no—
1244C2×Q8—121no—
1245C2×Q8—121no—
1246C2×Q8—121no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—34no—
1252C2×D4—34no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
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—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—1216no—
1297C2×D4—121no—
1298C2×D4—121no—
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—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—31no—
1322C22×C4—34no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—34no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—62no—
1341C22×C4—62no—
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—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4C23×D311yescharacteristic
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—34no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—121no—
1395C4⋊C4—121no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—34no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
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⋊C4D3×D414yes—
1452C42—34no—
1453C42—62no—
1454C42—62no—
1455C42—62no—
1456C42—62no—
1457C42—121no—
1458C42—121no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—88no—
1487C22×C3#53514yes—
1488C22×C3C23×D411yescharacteristic
1489C22×C3C22×#4111yescharacteristic
1490C22×C3C2×H(5,𝔽2)11yescharacteristic
1491C22×C3C2×H(5,𝔽2)11yescharacteristic
1492C22×C3C2×H(5,𝔽2)11yescharacteristic
1493C22×C3#58511yescharacteristic
1494C22×C3#58511yescharacteristic
1495C2×D3—22no—
1496C2×D3—22no—
1497C2×D3—22no—
1498C2×D3—22no—
1499C2×D3—22no—
1500C2×D3—22no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
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—88no—
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535Dic3—22no—
1536Dic3—22no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3#54614yes—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—32no—
1572C23—32no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
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—82no—
1604C23—82no—
1605C23—82no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—242no—
1611C23—242no—
1612C23—242no—
1613C23C2×D3×D412yes—
1614C23#100412yes—
1615C23D3×#4112yes—
1616C23#100912yes—
1617C23C24×D311yescharacteristic
1618Q8—124no—
1619Q8—124no—
1620Q8—124no—
1621D4—44no—
1622D4—68no—
1623D4—68no—
1624D4—82no—
1625D4—82no—
1626D4—124no—
1627D4—124no—
1628D4—124no—
1629D4—124no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—242no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
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—32no—
1675C2×C4—32no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—68no—
1683C2×C4—68no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—82no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—242no—
1724C2×C4C2×D3×D412yes—
1725C2×C4C2×D3×D412yes—
1726C2×C3—24no—
1727C2×C3—42no—
1728C2×C3—81no—
1729C2×C3—81no—
1730C2×C3C2×#53511yescharacteristic
1731C2×C3C2×#54611yescharacteristic
1732C2×C3#350011yescharacteristic
1733C2×C3#351311yescharacteristic
1734C2×C3#351311yescharacteristic
1735C2×C3#354211yescharacteristic
1736C2×C3#354211yescharacteristic
1737D3—42no—
1738D3—42no—
1739D3—81no—
1740D3—81no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—88no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—248no—
1798C22#560714yes—
1799C22C22×D3×D411yescharacteristic
1800C22C2×#100411yescharacteristic
1801C22C2×D3×#4111yescharacteristic
1802C22C2×#100911yescharacteristic
1803C22#596411yescharacteristic
1804C22D3×H(5,𝔽2)11yescharacteristic
1805C22#596611yescharacteristic
1806C4—22no—
1807C4—22no—
1808C4—34no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—62no—
1819C4—62no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C3#3808211yescharacteristic, complemented, Sylow
1830C2—24no—
1831C2—42no—
1832C2—81no—
1833C2—81no—
1834C2—122no—
1835C2—122no—
1836C2—241no—
1837C2—241no—
1838C2C2×#560711yescharacteristic
1839C2#8601311yescharacteristic
1840C2#8630211yescharacteristic
1841C2#8663211yescharacteristic
1842C2D3×#54611yescharacteristic
1843C2#8679511yescharacteristic
1844C2#8680511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2412C2
hypercenter#2412D3
hypocenterC3#38082
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5490C2semidirect
3. C3×#2412C2semidirect
4. #82895C2semidirect
5. #82588C2semidirect
6. #82581C2semidirect
7. #82125C2semidirect
8. #82108C2semidirect
9. C2×#4957C2semidirect
10. #77699C2semidirect
11. #77577C2semidirect
12. #77547C2semidirect
13. #77492C2semidirect
14. #77149C2semidirect
15. #77017C2semidirect
16. #76971C2semidirect
17. #76945C2semidirect
18. #74885C2semidirect
19. #74869C2semidirect
20. #74813C2semidirect
21. #74807C2semidirect
22. #74700C2semidirect
23. #74667C2semidirect
24. #74406C2semidirect
25. #74377C2semidirect
26. #74125C2semidirect
27. #74079C2semidirect
28. #74003C2semidirect
29. #73966C2semidirect
30. #73964C2semidirect
31. #73942C2semidirect
56. C2×#896C22semidirect
57. C2×#894C22semidirect
58. C2×#892C22semidirect
59. C2×D3×C4⋊C4C22semidirect
60. C2×#888C22semidirect
63. C2×#885C22semidirect
67. C2×#884C22semidirect
69. C2×#883C22semidirect
73. C2×#67⋊C4C22semidirect
76. C2×#878C22semidirect
77. C3×#397C22semidirect
78. C3×#397C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
86. C3×#380C22semidirect
87. C3×#380C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
93. #5220C22semidirect
94. #5220C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5212C22semidirect
100. #5212C22semidirect
102. #4992C22semidirect
103. #4992C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4990C22semidirect
107. #4987C22semidirect
108. #4987C22semidirect
109. #4987C22semidirect
110. #4987C22semidirect
111. #4978C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
125. #4958C22semidirect
126. #4958C22semidirect
137. #4957C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4953C22semidirect
147. #4953C22semidirect
148. #4951C22semidirect
150. #4947C22semidirect
151. #4947C22semidirect
152. #4947C22semidirect
153. #4947C22semidirect
154. #4944C22semidirect
158. #4674C22semidirect
159. #4674C22semidirect
160. #4673C22semidirect
161. #4673C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4669C22semidirect
169. #4666C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4660C22semidirect
179. #4660C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4655C22semidirect
183. #4650C22semidirect
184. #4650C22semidirect
185. #4650C22semidirect
186. #4648C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
212. #2412D3semidirect
388. #67⋊C4D4semidirect
480. #397C2×D3semidirect
481. #397C2×D3semidirect
488. #394C2×D3semidirect
489. #394C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
577. #380C2×D3semidirect
578. #380C2×D3semidirect
679. C2×#67#41semidirect
1829. C3#38082semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#54902
C3×#24122
#828952
#825882
#825812
#821252
#821082
C2×#49572
#776992
#775772
#775472
#774922
#771492
#770172
#769712
#769452
#748852
#748692
#748132
#748072
#747002
#746672
#744062
#743772
#741252
#740792
#740032
#739662
#739642
#739422
#380823