Finite Group Databasebeta

← #11633231

Subgroups — #11633231

Order 768.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5556C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic
3C3×#2349C211yesmaximal, characteristic, complemented
4#82398C211yesmaximal, characteristic, complemented
5#82357C211yesmaximal, characteristic, complemented
6#82355C211yesmaximal, characteristic, complemented
7#82354C211yesmaximal, characteristic, complemented
8#76262C211yesmaximal, characteristic, complemented
9#76222C211yesmaximal, characteristic, complemented
10#76208C211yesmaximal, characteristic, complemented
11#76020C211yesmaximal, characteristic, complemented
12#74636C211yesmaximal, characteristic, complemented
13#74604C211yesmaximal, characteristic, complemented
14#74600C211yesmaximal, characteristic, complemented
15D3×#385C211yesmaximal, characteristic, complemented
16#74472C211yesmaximal, characteristic, complemented
17#74420C211yesmaximal, characteristic, complemented
18#74406C211yesmaximal, characteristic, complemented
19#74395C211yesmaximal, characteristic, complemented
20#74247C211yesmaximal, characteristic, complemented
21#74233C211yesmaximal, characteristic, complemented
22#74037C211yesmaximal, characteristic, complemented
23#74018C211yesmaximal, characteristic, complemented
24#73911C211yesmaximal, characteristic, complemented
25#73897C211yesmaximal, characteristic, complemented
26#73783C211yesmaximal, characteristic, complemented
27#73767C211yesmaximal, characteristic, complemented
28#73375C211yesmaximal, characteristic, complemented
29#73368C211yesmaximal, characteristic, complemented
30C2×#4664C211yesmaximal, characteristic, complemented
31#73351C211yesmaximal, characteristic, complemented
32#59010—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#935C2211yescharacteristic
41C2×#929C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C2×#924C2211yescharacteristic
49#5556—28no—
50#5547—28no—
51C2×#898C2211yescharacteristic
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#886C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#877C2211yescharacteristic
68C2×#876C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C3×#389C2211yescharacteristic, complemented
73C3×#389C2211yescharacteristic, complemented
74C3×#385C2211yescharacteristic
75C3×#385C2211yescharacteristic
76C3×#385C2211yescharacteristic, complemented
77C3×#385C2211yescharacteristic, complemented
78C3×#382C2211yescharacteristic, complemented
79C3×#380C2211yescharacteristic
80C3×#380C2211yescharacteristic, complemented
81C3×C4×C4⋊C4C2211yescharacteristic, complemented
82C2×C3×#95C2211yescharacteristic
83C2×C3×#95C2211yescharacteristic, complemented
84#5220C2211yescharacteristic
85#5213C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic, complemented
89#5213C2211yescharacteristic, complemented
90#5212C2211yescharacteristic, complemented
91#5211C2211yescharacteristic, complemented
92#5211C2211yescharacteristic, complemented
93#5210C2211yescharacteristic
94#5210C2211yescharacteristic
95#5210C2211yescharacteristic, complemented
96C2×C3⋊#95C2211yescharacteristic
97C2×C3⋊#95C2211yescharacteristic
98C2×C3⋊#95C2211yescharacteristic
99#4994C2211yescharacteristic, complemented
100#4992C2211yescharacteristic
101#4992C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4991C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic, complemented
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic, complemented
112#4987C2211yescharacteristic
113#4987C2211yescharacteristic
114#4985C2211yescharacteristic, complemented
115#4985C2211yescharacteristic, complemented
116#4984C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4981C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4979C2211yescharacteristic, complemented
124#4976C2211yescharacteristic, complemented
125Dic3×C4⋊C4C2211yescharacteristic, complemented
126#4972C2211yescharacteristic, complemented
127#4972C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic
131#4957C2211yescharacteristic
132#4956C2211yescharacteristic
133#4953C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4952C2211yescharacteristic, complemented
136#4952C2211yescharacteristic, complemented
137#4950C2211yescharacteristic
138#4946C2211yescharacteristic
139#4943C2211yescharacteristic
140#4942C2211yescharacteristic
141Dic3×C22⋊C4C2211yescharacteristic
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic
146#4933C2211yescharacteristic, complemented
147#4933C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic
152#4674C2211yescharacteristic
153#4674C2211yescharacteristic
154#4673C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4669C2211yescharacteristic, complemented
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic
159#4668C2211yescharacteristic, complemented
160#4667C2211yescharacteristic, complemented
161#4666C2211yescharacteristic, complemented
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4664C2211yescharacteristic
166#4664C2211yescharacteristic
167#4664C2211yescharacteristic
168#4664C2211yescharacteristic
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic
173#4664C2211yescharacteristic
174D3×#95C2211yescharacteristic
175D3×#95C2211yescharacteristic
176#4658C2211yescharacteristic, complemented
177#4658C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2701—31no—
193#2698—31no—
194#2689—31no—
195#2686—31no—
196#2549—31no—
197#2488—31no—
198#2486—31no—
199#2468—31no—
200#2466—31no—
201#2450—31no—
202#2447—31no—
203#2444—31no—
204#2438—31no—
205#2438—31no—
206#2425—31no—
207#2419—31no—
208#2419—31no—
209#2419—31no—
210#2413—31no—
211#2412—31no—
212#2412—31no—
213#2406—31no—
214#2359—31no—
215#2358—31no—
216#2349D311yescharacteristic, complemented
217#2344—31no—
218#2339—31no—
219C2×#385—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#235—24no—
237C2×#235—24no—
238C2×#235—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3—24no—
242C22×C4×D3—24no—
243C22×C4×D3—42no—
244C22×C4×D3C2311yescharacteristic
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
255C3×C4×D4—24no—
256C3×C4×D4—24no—
257C3×C4×D4—24no—
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×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#939—24no—
285#937D418yes—
286#935—24no—
287#929—24no—
288C4×#67—24no—
289C4×#67—24no—
290C4×#67—24no—
291C4×#67—42no—
292C2×(C2×D3)⋊C4—24no—
293C2×(C2×D3)⋊C4—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×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326#924—24no—
327C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—24no—
351#896—24no—
352#896—24no—
353#894—24no—
354#894—42no—
355D3×C4⋊C4—24no—
356D3×C4⋊C4—42no—
357#886—24no—
358#885—24no—
359#884—24no—
360#883—24no—
361#883—24no—
362#882—24no—
363D3×C22⋊C4—24no—
364D3×C22⋊C4—24no—
365#878—24no—
366#877—24no—
367#876—24no—
368C4×D12—24no—
369#872—24no—
370#872—24no—
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
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#551—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#124—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4C2×D311yescharacteristic
445C2×C4×D4C2×D311yescharacteristic
446C2×C4×D4C2×D311yescharacteristic
447C2×#117—31no—
448C2×#117—31no—
449C2×#117—31no—
450C22×C4⋊C4—31no—
451C22×C4⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#395—31no—
479#395—31no—
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#393—31no—
488#391—31no—
489#391—31no—
490#391—31no—
491#391—31no—
492#390—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389C2×D311yescharacteristic, complemented
499#389C2×D311yescharacteristic, complemented
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#387—31no—
507#387—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385C2×D311yescharacteristic
539#385C2×D311yescharacteristic
540#385C2×D311yescharacteristic, complemented
541#385C2×D311yescharacteristic, complemented
542#382C2×D311yescharacteristic, complemented
543#381—31no—
544#381—31no—
545#381—31no—
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic
561#380C2×D311yescharacteristic, complemented
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C2×#95—31no—
568C2×#95—31no—
569C2×#95—31no—
570C2×#95—31no—
571C2×#95—31no—
572C2×#95C2×D311yescharacteristic
573C2×#95C2×D311yescharacteristic, complemented
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2×D414yes—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4C2×D414yes—
589C22×C3×C4—22no—
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—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67C2×D414yes—
631C2×#67C2×D414yes—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654#235—416no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—41no—
660C2×D12—41no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
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—22no—
680C2×C4×D3—416no—
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×D3—41no—
688C2×C4×D3#4114yes—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
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⋊C4—41no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4#4114yescomplemented
710C3×C42—22no—
711C3×C42—22no—
712C3×C42—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—41no—
719#217—41no—
720#217C2×D414yes—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
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—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
746(C2×D3)⋊C4C2×D414yes—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—41no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C2×#41—64no—
778C2×#41—64no—
779C2×#41—122no—
780C22×Q8—31no—
781C22×Q8—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4C22×D311yescharacteristic
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—64no—
802C23×C4—64no—
803C23×C4—122no—
804C23×C4C22×D311yescharacteristic
805C23×C4C22×D311yescharacteristic
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809C23×C4C22×D311yescharacteristic
810#126—64no—
811#126—64no—
812#124—64no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—122no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824#121—64no—
825#121—64no—
826#120—38no—
827#120—64no—
828C4×D4—24no—
829C4×D4—24no—
830C4×D4—24no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—122no—
836#117—64no—
837#117—64no—
838#117—64no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
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—64no—
864C2×C4⋊C4—122no—
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
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—64no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—64no—
911C2×C22⋊C4—122no—
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42C22×D311yescharacteristic
924C2×C42C22×D311yescharacteristic
925C2×C42C22×D311yescharacteristic
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
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#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3C22×D412yes—
983C23×C3C22×D412yes—
984C23×C3C2×#4112yes—
985C23×C32−1+412yes—
986C23×C3C2511yescharacteristic
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—28no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—28no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3C22×D412yes—
1012C22×D3C22×D412yes—
1013C22×D3C2×#4112yes—
1014C22×D3H(5,𝔽2)12yes—
1015C3×D4—28no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
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—44no—
1052C2×C3×C4—44no—
1053C2×C3×C4—82no—
1054C2×C3×C4—82no—
1055C2×C3×C4—82no—
1056C2×C3×C4—82no—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C2×#4112yes—
1059C2×C3×C4C2×#4112yes—
1060C2×C3×C4C2×#4112yes—
1061#67—28no—
1062#67—44no—
1063#67—44no—
1064#67—44no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
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—44no—
1102C2×Dic3—44no—
1103C2×Dic3—82no—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C2×#4112yes—
1107D12—44no—
1108D12—44no—
1109C4×D3—28no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—82no—
1118Dic6—44no—
1119Dic6—82no—
1120C24—31no—
1121C24—31no—
1122C24—34no—
1123C24—31no—
1124C24—62no—
1125C24—62no—
1126C24—62no—
1127C24—62no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132#41—1216no—
1133C2×Q8—62no—
1134C2×Q8—62no—
1135C2×Q8—62no—
1136C2×Q8—121no—
1137C2×Q8—121no—
1138C2×Q8—121no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—34no—
1142C2×D4—34no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4D3×D414yes—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—34no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
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—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—1216no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
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
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
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—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—34no—
1280C22⋊C4—34no—
1281C22⋊C4—34no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
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—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4#23514yescomplemented
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—121no—
1321C42—121no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3#54714yes—
1336C22×C3C23×D411yescharacteristic
1337C22×C3C22×#4111yescharacteristic
1338C22×C3C22×#4111yescharacteristic
1339C22×C3C2×H(5,𝔽2)11yescharacteristic
1340C22×C3C2×2−1+411yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—416no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3#54614yes—
1365C3×C4—22no—
1366C3×C4—22no—
1367C3×C4—22no—
1368C3×C4—22no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376C3×C4—41no—
1377C3×C4—41no—
1378Dic3—22no—
1379Dic3—22no—
1380Dic3—22no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390Dic3—41no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—32no—
1402C23—32no—
1403C23—32no—
1404C23—32no—
1405C23—68no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—68no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—124no—
1425C23—124no—
1426C23—124no—
1427C23—124no—
1428C23—124no—
1429C23C2×#23512yes—
1430C23C2×D3×D412yes—
1431C23C2×D3×D412yes—
1432C23#100712yes—
1433C23C24×D311yescharacteristic
1434Q8—124no—
1435Q8—242no—
1436D4—28no—
1437D4—68no—
1438D4—124no—
1439D4—124no—
1440D4—124no—
1441D4—124no—
1442D4—124no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
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—32no—
1479C2×C4—32no—
1480C2×C4—32no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—68no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
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—82no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4—124no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—124no—
1533C2×C4—242no—
1534C2×C4—242no—
1535C2×C4C2×#23512yes—
1536C2×C4C2×#23512yes—
1537C2×C4C2×D3×D412yes—
1538C2×C4D3×#4112yes—
1539C2×C3—24no—
1540C2×C3—42no—
1541C2×C3C2×#54611yescharacteristic
1542C2×C3C2×#54711yescharacteristic
1543C2×C3#347511yescharacteristic
1544C2×C3#348511yescharacteristic
1545C2×C3#349511yescharacteristic
1546C2×C3#351311yescharacteristic
1547C2×C3#353511yescharacteristic
1548D3—24no—
1549D3—42no—
1550D3—81no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—34no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—1216no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22#550714yes—
1587C22C22×#23511yescharacteristic
1588C22C22×D3×D411yescharacteristic
1589C22C2×#100711yescharacteristic
1590C22C2×D3×#4111yescharacteristic
1591C22#596411yescharacteristic
1592C22D3×H(5,𝔽2)11yescharacteristic
1593C22#596611yescharacteristic
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—62no—
1608C4—62no—
1609C4—62no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C3#5901011yescharacteristic, complemented, Sylow
1621C2—24no—
1622C2—42no—
1623C2—64no—
1624C2—122no—
1625C2—241no—
1626C2C2×#550711yescharacteristic
1627C2#8584111yescharacteristic
1628C2#8587011yescharacteristic
1629C2D3×#54611yescharacteristic
1630C2#8666311yescharacteristic
1631C2#8692511yescharacteristic
1632C2#8695111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2349C2
prime radicalC2×#5547C2
hypercenter#2349D3
hypocenterC3#59010
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2349

Complements

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

NH ≅ G/Ntype
1. C2×#5556C2semidirect
3. C3×#2349C2semidirect
4. #82398C2semidirect
5. #82357C2semidirect
6. #82355C2semidirect
7. #82354C2semidirect
8. #76262C2semidirect
9. #76222C2semidirect
10. #76208C2semidirect
11. #76020C2semidirect
12. #74636C2semidirect
13. #74604C2semidirect
14. #74600C2semidirect
15. D3×#385C2semidirect
16. #74472C2semidirect
17. #74420C2semidirect
18. #74406C2semidirect
19. #74395C2semidirect
20. #74247C2semidirect
21. #74233C2semidirect
22. #74037C2semidirect
23. #74018C2semidirect
24. #73911C2semidirect
25. #73897C2semidirect
26. #73783C2semidirect
27. #73767C2semidirect
28. #73375C2semidirect
29. #73368C2semidirect
30. C2×#4664C2semidirect
31. #73351C2semidirect
72. C3×#389C22semidirect
73. C3×#389C22semidirect
76. C3×#385C22semidirect
77. C3×#385C22semidirect
78. C3×#382C22semidirect
80. C3×#380C22semidirect
81. C3×C4×C4⋊C4C22semidirect
83. C2×C3×#95C22semidirect
88. #5213C22semidirect
89. #5213C22semidirect
90. #5212C22semidirect
91. #5211C22semidirect
92. #5211C22semidirect
95. #5210C22semidirect
99. #4994C22semidirect
101. #4992C22semidirect
106. #4990C22semidirect
111. #4989C22semidirect
114. #4985C22semidirect
115. #4985C22semidirect
116. #4984C22semidirect
117. #4983C22semidirect
118. #4983C22semidirect
119. #4982C22semidirect
120. #4981C22semidirect
121. #4980C22semidirect
122. #4979C22semidirect
123. #4979C22semidirect
124. #4976C22semidirect
125. Dic3×C4⋊C4C22semidirect
126. #4972C22semidirect
127. #4972C22semidirect
128. #4961C22semidirect
129. #4959C22semidirect
133. #4953C22semidirect
134. #4952C22semidirect
135. #4952C22semidirect
136. #4952C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
146. #4933C22semidirect
147. #4933C22semidirect
148. #4933C22semidirect
149. #4928C22semidirect
150. #4676C22semidirect
154. #4673C22semidirect
156. #4669C22semidirect
159. #4668C22semidirect
160. #4667C22semidirect
161. #4666C22semidirect
176. #4658C22semidirect
177. #4658C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4654C22semidirect
183. #4654C22semidirect
184. #4652C22semidirect
185. #4652C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
216. #2349D3semidirect
498. #389C2×D3semidirect
499. #389C2×D3semidirect
540. #385C2×D3semidirect
541. #385C2×D3semidirect
542. #382C2×D3semidirect
561. #380C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
573. C2×#95C2×D3semidirect
709. C3×C22⋊C4#41semidirect
1313. C22⋊C4#235semidirect
1620. C3#59010semidirect

Maximal subgroups

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

subgroupindex
C2×#55562
C2×#55472
C3×#23492
#823982
#823572
#823552
#823542
#762622
#762222
#762082
#760202
#746362
#746042
#746002
D3×#3852
#744722
#744202
#744062
#743952
#742472
#742332
#740372
#740182
#739112
#738972
#737832
#737672
#733752
#733682
C2×#46642
#733512
#590103