Finite Group Databasebeta

← #11233246

Subgroups — #11233246

Order 768.

2950 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5628C211yesmaximal, characteristic, complemented
3C2×#5632C211yesmaximal, characteristic, complemented
4C2×#5598C211yesmaximal, characteristic, complemented
5C3×#2681C211yesmaximal, characteristic, complemented
6#82870C211yesmaximal, characteristic, complemented
7#82817C211yesmaximal, characteristic, complemented
8#82763C211yesmaximal, characteristic, complemented
9#82659C211yesmaximal, characteristic, complemented
10#77969C211yesmaximal, characteristic, complemented
11#77785C211yesmaximal, characteristic, complemented
12#77426C211yesmaximal, characteristic, complemented
13#77287C211yesmaximal, characteristic, complemented
14#77139C211yesmaximal, characteristic, complemented
15#77132C211yesmaximal, characteristic, complemented
16#76908C211yesmaximal, characteristic, complemented
17#76904C211yesmaximal, characteristic, complemented
18#76902C211yesmaximal, characteristic, complemented
19#76891C211yesmaximal, characteristic, complemented
20#76874C211yesmaximal, characteristic, complemented
21#76780C211yesmaximal, characteristic, complemented
22#76447C211yesmaximal, characteristic, complemented
23#76349C211yesmaximal, characteristic, complemented
24#75999C211yesmaximal, characteristic, complemented
25#75971C211yesmaximal, characteristic, complemented
26#75668C211yesmaximal, characteristic, complemented
27#75481C211yesmaximal, characteristic, complemented
28#74709C211yesmaximal, characteristic, complemented
29#74688C211yesmaximal, characteristic, complemented
30#74612C211yesmaximal, characteristic, complemented
31#74412C211yesmaximal, characteristic, complemented
32#45332—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×Dic6C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#944C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#936C2211yescharacteristic
47C2×D4×Dic3C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×#924C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic
53#5655—28no—
54#5632—28no—
55#5628—28no—
56#5598—28no—
57C2×#897C2211yescharacteristic
58C2×#897C2211yescharacteristic
59C2×#897C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#894C2211yescharacteristic
64C2×#894C2211yescharacteristic
65C2×#892C2211yescharacteristic
66C2×D3×C4⋊C4C2211yescharacteristic
67C2×#888C2211yescharacteristic
68C2×#888C2211yescharacteristic
69C2×#888C2211yescharacteristic
70C2×#888C2211yescharacteristic
71C2×#888C2211yescharacteristic
72C2×#887C2211yescharacteristic
73C2×#887C2211yescharacteristic
74C2×#886C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#885C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#883C2211yescharacteristic
80C2×#883C2211yescharacteristic
81C2×#883C2211yescharacteristic
82C2×#67⋊C4C2211yescharacteristic
83C2×#67⋊C4C2211yescharacteristic
84C2×#67⋊C4C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×#878C2211yescharacteristic
87C2×#878C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×#878C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×#878C2211yescharacteristic
92C2×#878C2211yescharacteristic
93C3×#398C2211yescharacteristic
94C3×#396C2211yescharacteristic
95C3×#394C2211yescharacteristic
96C3×#394C2211yescharacteristic
97C3×#394C2211yescharacteristic
98C3×#393C2211yescharacteristic
99C3×#390C2211yescharacteristic
100C3×#389C2211yescharacteristic
101C3×#388C2211yescharacteristic
102C3×#386C2211yescharacteristic
103C3×#385C2211yescharacteristic
104#5230C2211yescharacteristic
105#5223C2211yescharacteristic
106#5223C2211yescharacteristic
107#5222C2211yescharacteristic
108#5221C2211yescharacteristic
109#5220C2211yescharacteristic
110#5210C2211yescharacteristic
111#5210C2211yescharacteristic
112#4990C2211yescharacteristic
113#4990C2211yescharacteristic
114#4989C2211yescharacteristic
115#4989C2211yescharacteristic
116#4987C2211yescharacteristic
117#4984C2211yescharacteristic
118#4983C2211yescharacteristic
119#4981C2211yescharacteristic
120#4981C2211yescharacteristic
121#4981C2211yescharacteristic
122#4980C2211yescharacteristic
123#4979C2211yescharacteristic
124#4979C2211yescharacteristic
125#4976C2211yescharacteristic
126#4976C2211yescharacteristic
127#4976C2211yescharacteristic
128#4976C2211yescharacteristic
129#4976C2211yescharacteristic
130#4975C2211yescharacteristic
131#4961C2211yescharacteristic
132#4961C2211yescharacteristic
133#4960C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4957C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4953C2211yescharacteristic
144#4950C2211yescharacteristic
145#4950C2211yescharacteristic
146#4949C2211yescharacteristic
147#4949C2211yescharacteristic
148#4949C2211yescharacteristic
149#4949C2211yescharacteristic
150#4948C2211yescharacteristic
151#4948C2211yescharacteristic
152#4948C2211yescharacteristic
153#4947C2211yescharacteristic
154#4946C2211yescharacteristic
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic
157#4945C2211yescharacteristic
158#4944C2211yescharacteristic
159#4944C2211yescharacteristic
160#4942C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164#4940C2211yescharacteristic
165C4×(C2×D3)⋊C4C2211yescharacteristic
166#4935C2211yescharacteristic
167C4×Dic3⋊C4C2211yescharacteristic
168#4675C2211yescharacteristic
169#4674C2211yescharacteristic
170#4672C2211yescharacteristic
171#4669C2211yescharacteristic
172#4669C2211yescharacteristic
173#4669C2211yescharacteristic
174#4668C2211yescharacteristic
175#4668C2211yescharacteristic
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic
178#4667C2211yescharacteristic
179#4661C2211yescharacteristic
180#4657C2211yescharacteristic
181#4656C2211yescharacteristic
182#4656C2211yescharacteristic
183#4656C2211yescharacteristic
184#4655C2211yescharacteristic
185#4649C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×D4×Q8—31no—
193C2×#548—31no—
194C2×#547—31no—
195C2×#536—31no—
196#2681—31no—
197#2681D311yescharacteristic, complemented
198#2680—31no—
199#2680—31no—
200#2674—31no—
201#2674—31no—
202#2672—31no—
203#2672—31no—
204#2546—31no—
205#2542—31no—
206#2464—31no—
207#2464—31no—
208#2455—31no—
209#2455—31no—
210#2449—31no—
211#2449—31no—
212#2440—31no—
213#2440—31no—
214#2434—31no—
215#2432—31no—
216#2429—31no—
217#2427—31no—
218#2409—31no—
219#2407—31no—
220#2392—31no—
221#2367—31no—
222#2323—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×D3×Q8—24no—
241C2×D3×Q8—24no—
242C2×D3×Q8—42no—
243C2×#237—24no—
244C2×#237—24no—
245C2×#237—42no—
246C2×#235—24no—
247C2×#235—24no—
248C2×#235—42no—
249C22×D12C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6—24no—
257C22×Dic6—24no—
258C22×Dic6—42no—
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#123—24no—
267C3×C22⋊Q8—24no—
268C3×C22⋊Q8—24no—
269C3×#121—24no—
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306#946—24no—
307#944—24no—
308#939—24no—
309#939—24no—
310#939—24no—
311#936—24no—
312D4×Dic3—24no—
313D4×Dic3—24no—
314C4×#67—24no—
315C4×#67—24no—
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343#924—24no—
344C2×Dic3⋊C4—24no—
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#897—24no—
379#897—24no—
380#897—24no—
381#896—24no—
382#896D418yescomplemented
383#894—24no—
384#894—24no—
385#894—24no—
386#892—24no—
387D3×C4⋊C4—24no—
388#888—24no—
389#888—24no—
390#888—24no—
391#888—24no—
392#888—24no—
393#887—24no—
394#887—24no—
395#886—24no—
396#885—24no—
397#885—24no—
398#885D418yescomplemented
399#884—24no—
400#883—24no—
401#883—24no—
402#883—24no—
403#67⋊C4—24no—
404#67⋊C4—24no—
405#67⋊C4—24no—
406#67⋊C4—24no—
407#878—24no—
408#878—24no—
409#878—24no—
410#878—24no—
411#878—24no—
412#878—42no—
413#878—42no—
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C22×#41—31no—
444C23×Q8—31no—
445C23×Q8—31no—
446D4×Q8—68no—
447#548—68no—
448#547—68no—
449#536—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×#124—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123—31no—
464C2×#123—31no—
465C2×#123—31no—
466C2×#123—31no—
467C2×#123C2×D311yescharacteristic
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8—31no—
481C2×C22⋊Q8—31no—
482C2×C22⋊Q8C2×D311yescharacteristic
483C2×C22⋊Q8C2×D311yescharacteristic
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121C2×D311yescharacteristic
489C2×C4×Q8—31no—
490C2×C4×Q8—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×#117—31no—
500C22×C4⋊C4—31no—
501C22×C4⋊C4—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399—31no—
506#398—31no—
507#398—31no—
508#398—31no—
509#398—31no—
510#398—31no—
511#398—31no—
512#398C2×D311yescharacteristic
513#397—31no—
514#397—31no—
515#397—31no—
516#396—31no—
517#396—31no—
518#396—31no—
519#396C2×D311yescharacteristic
520#395—31no—
521#395—31no—
522#395—31no—
523#395—31no—
524#395—31no—
525#395—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394C2×D311yescharacteristic
535#394C2×D311yescharacteristic
536#394C2×D311yescharacteristic
537#393—31no—
538#393C2×D311yescharacteristic
539#392—31no—
540#392—31no—
541#392—31no—
542#391—31no—
543#391—31no—
544#391—31no—
545#391—31no—
546#390—31no—
547#390—31no—
548#390C2×D311yescharacteristic
549#389—31no—
550#389—31no—
551#389—31no—
552#389—31no—
553#389—31no—
554#389—31no—
555#389—31no—
556#389—31no—
557#389C2×D311yescharacteristic
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388—31no—
564#388—31no—
565#388—31no—
566#388—31no—
567#388C2×D311yescharacteristic
568#387—31no—
569#387—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386C2×D311yescharacteristic
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385—31no—
585#385—31no—
586#385—31no—
587#385—31no—
588#385—31no—
589#385C2×D311yescharacteristic
590#384—31no—
591#384—31no—
592#380—31no—
593#380—31no—
594#380—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C22⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C2×C3×Q8—22no—
607C2×C3×Q8—22no—
608C2×C3×Q8—41no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
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
636C2×#67—22no—
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—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67C2×D414yes—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683D3×Q8—416no—
684#237—416no—
685#235—416no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—41no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3C2×D414yes—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—22no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—416no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C2×Dic6—41no—
727C2×Dic6C2×D414yes—
728C2×Dic6C2×D414yes—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—41no—
737C3×C4⋊C4C2×D414yes—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4C2×D414yes—
751C3×C42—41no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—41no—
763#217—41no—
764#217C2×D414yes—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4C2×D414yes—
778(C2×D3)⋊C4C2×D414yes—
779(C2×D3)⋊C4C2×D414yes—
780(C2×D3)⋊C4C2×D414yes—
781C4⋊Dic3—22no—
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—22no—
789C4⋊Dic3—22no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4C2×D414yes—
815Dic3⋊C4C2×D414yes—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3C2×D414yes—
825C2×#41—64no—
826C2×#41—64no—
827C2×#41—64no—
828C2×#41—64no—
829C2×#41—122no—
830C2×#41—122no—
831C22×Q8—31no—
832C22×Q8—31no—
833C22×Q8—31no—
834C22×Q8—31no—
835C22×Q8—31no—
836C22×Q8—31no—
837C22×Q8—31no—
838C22×Q8—64no—
839C22×Q8—64no—
840C22×Q8—64no—
841C22×Q8—64no—
842C22×Q8—122no—
843C22×Q8—122no—
844C22×Q8C22×D311yescharacteristic
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C4⋊Q8—64no—
869C4⋊Q8—64no—
870C4⋊Q8—64no—
871C4⋊Q8—64no—
872C4⋊Q8—64no—
873C4⋊Q8—64no—
874#124—38no—
875#124—64no—
876#124—64no—
877#124—64no—
878#123—24no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—38no—
889C22⋊Q8—64no—
890C22⋊Q8—64no—
891C22⋊Q8—64no—
892C22⋊Q8—64no—
893C22⋊Q8—64no—
894C22⋊Q8—64no—
895C22⋊Q8—64no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898C22⋊Q8—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902#121—24no—
903#121—64no—
904#121—64no—
905#121—64no—
906#121—64no—
907C4×Q8—64no—
908C4×Q8—64no—
909C4×D4—64no—
910C4×D4—64no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917#117—64no—
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—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—64no—
954C2×C4⋊C4—64no—
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014C2×C42—31no—
1015C2×C42C22×D311yescharacteristic
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3C22×D412yes—
1064C23×C32−1+412yes—
1065C23×C3C2511yescharacteristic
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3C22×D412yes—
1079C22×D3C22×D412yes—
1080C3×Q8—44no—
1081C3×D4—44no—
1082C3×D4—44no—
1083C3×D4—44no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
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—44no—
1116C2×C3×C4—44no—
1117C2×C3×C4C22×D412yes—
1118C2×C3×C4C22×D412yes—
1119C2×C3×C4C22×D412yes—
1120C2×C3×C4C22×D412yes—
1121C2×C3×C4C22×D412yes—
1122#67—28no—
1123#67—28no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—44no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—44no—
1162C2×Dic3—44no—
1163C2×Dic3—44no—
1164C2×Dic3—44no—
1165C2×Dic3—44no—
1166C2×Dic3C22×D412yes—
1167C2×Dic3C22×D412yes—
1168C2×Dic3C22×D412yes—
1169C2×Dic3C22×D412yes—
1170C2×Dic3C22×D412yes—
1171C2×Dic3C22×D412yes—
1172C2×Dic3H(5,𝔽2)12yes—
1173C2×Dic32−1+412yes—
1174C2×Dic32−1+412yes—
1175D12—44no—
1176C4×D3—28no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180C4×D3—44no—
1181C4×D3—44no—
1182Dic6—28no—
1183Dic6—28no—
1184Dic6—44no—
1185Dic6—44no—
1186Dic6—44no—
1187Dic6—44no—
1188Dic6—44no—
1189C24—31no—
1190C24—31no—
1191C24C23×D311yescharacteristic
1192C24C23×D311yescharacteristic
1193C24C23×D311yescharacteristic
1194#41—1216no—
1195#41—1216no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—34no—
1199C2×Q8—34no—
1200C2×Q8—41no—
1201C2×Q8—62no—
1202C2×Q8—62no—
1203C2×Q8—62no—
1204C2×Q8—62no—
1205C2×Q8—62no—
1206C2×Q8—62no—
1207C2×Q8—62no—
1208C2×Q8—62no—
1209C2×Q8—62no—
1210C2×Q8—62no—
1211C2×Q8—62no—
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—62no—
1215C2×Q8—62no—
1216C2×Q8—62no—
1217C2×Q8—121no—
1218C2×Q8—121no—
1219C2×Q8—121no—
1220C2×Q8—1216no—
1221C2×Q8—1216no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—34no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—34no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
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—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—34no—
1325C4⋊C4—34no—
1326C4⋊C4—41no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—62no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4D3×D414yes—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—34no—
1370C22⋊C4—34no—
1371C22⋊C4—34no—
1372C22⋊C4—34no—
1373C22⋊C4—34no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4D3×D414yes—
1403C42—34no—
1404C42—41no—
1405C42—62no—
1406C42—62no—
1407C42—62no—
1408C42—62no—
1409C42—62no—
1410C42—62no—
1411C42—62no—
1412C42—121no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—22no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3C23×D411yescharacteristic
1435C22×C3C23×D411yescharacteristic
1436C22×C3C2×H(5,𝔽2)11yescharacteristic
1437C22×C3C2×2−1+411yescharacteristic
1438C22×C3C2×2−1+411yescharacteristic
1439C22×C3C2×2−1+411yescharacteristic
1440C22×C3#58511yescharacteristic
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C3×C4—22no—
1456C3×C4—22no—
1457C3×C4—22no—
1458C3×C4—22no—
1459C3×C4—22no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467Dic3—22no—
1468Dic3—22no—
1469Dic3—22no—
1470Dic3—22no—
1471Dic3—22no—
1472Dic3—22no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3D4214yes—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—32no—
1501C23—32no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23C2×D3×D412yes—
1515C23#101012yes—
1516C23C24×D311yescharacteristic
1517Q8—44no—
1518Q8—68no—
1519Q8—68no—
1520Q8—124no—
1521Q8—124no—
1522Q8—124no—
1523Q8—124no—
1524Q8—124no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—68no—
1529D4—68no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—124no—
1534D4—124no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—32no—
1567C2×C4—32no—
1568C2×C4—32no—
1569C2×C4—32no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—32no—
1574C2×C4—32no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—68no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—124no—
1617C2×C4—124no—
1618C2×C4—124no—
1619C2×C4—124no—
1620C2×C4—124no—
1621C2×C4C2×D3×D412yes—
1622C2×C4C2×D3×D412yes—
1623C2×C4C2×D3×D412yes—
1624C2×C4C2×D3×D412yes—
1625C2×C4C2×D3×D412yes—
1626C2×C3—42no—
1627C2×C3—42no—
1628C2×C3—81no—
1629C2×C3C2×D4211yescharacteristic
1630C2×C3#348611yescharacteristic
1631C2×C3#348911yescharacteristic
1632C2×C3#348911yescharacteristic
1633C2×C3#349911yescharacteristic
1634C2×C3#355211yescharacteristic
1635C2×C3#355411yescharacteristic
1636D3—42no—
1637D3—42no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—62no—
1664C22—62no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22C22×D3×D411yescharacteristic
1674C22C22×D3×D411yescharacteristic
1675C22C2×#101011yescharacteristic
1676C22D3×H(5,𝔽2)11yescharacteristic
1677C22#596611yescharacteristic
1678C22D3×2−1+411yescharacteristic
1679C22D3×2−1+411yescharacteristic
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—34no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—62no—
1694C4—62no—
1695C4—62no—
1696C4—62no—
1697C4—62no—
1698C4—62no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C3#4533211yescharacteristic, complemented, Sylow
1707C2—42no—
1708C2—42no—
1709C2—81no—
1710C2—122no—
1711C2—122no—
1712C2#8634011yescharacteristic
1713C2#8638011yescharacteristic
1714C2#8643811yescharacteristic
1715C2D3×D4211yescharacteristic
1716C2#8663011yescharacteristic
1717C2#8673511yescharacteristic
1718C2#8710011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2681C2
hypercenter#2681D3
hypocenterC3#45332
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5628C2semidirect
3. C2×#5632C2semidirect
4. C2×#5598C2semidirect
5. C3×#2681C2semidirect
6. #82870C2semidirect
7. #82817C2semidirect
8. #82763C2semidirect
9. #82659C2semidirect
10. #77969C2semidirect
11. #77785C2semidirect
12. #77426C2semidirect
13. #77287C2semidirect
14. #77139C2semidirect
15. #77132C2semidirect
16. #76908C2semidirect
17. #76904C2semidirect
18. #76902C2semidirect
19. #76891C2semidirect
20. #76874C2semidirect
21. #76780C2semidirect
22. #76447C2semidirect
23. #76349C2semidirect
24. #75999C2semidirect
25. #75971C2semidirect
26. #75668C2semidirect
27. #75481C2semidirect
28. #74709C2semidirect
29. #74688C2semidirect
30. #74612C2semidirect
31. #74412C2semidirect
197. #2681D3semidirect
382. #896D4semidirect
398. #885D4semidirect
1706. C3#45332semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#56282
C2×#56322
C2×#55982
C3×#26812
#828702
#828172
#827632
#826592
#779692
#777852
#774262
#772872
#771392
#771322
#769082
#769042
#769022
#768912
#768742
#767802
#764472
#763492
#759992
#759712
#756682
#754812
#747092
#746882
#746122
#744122
#453323