Finite Group Databasebeta

← #11635180

Subgroups — #11635180

Order 768.

2870 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5599C211yesmaximal, characteristic, complemented
2C2×#5596C211yesmaximal, characteristic, complemented
3C3×#2699C211yesmaximal, characteristic, complemented
4#82683C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6#77753C211yesmaximal, characteristic, complemented
7#77748C211yesmaximal, characteristic, complemented
8#77116C211yesmaximal, characteristic, complemented
9#76949C211yesmaximal, characteristic, complemented
10#76912C211yesmaximal, characteristic, complemented
11#76907C211yesmaximal, characteristic, complemented
12#76903C211yesmaximal, characteristic, complemented
13#76896C211yesmaximal, characteristic, complemented
14#76688C211yesmaximal, characteristic, complemented
15#76682C211yesmaximal, characteristic, complemented
16#76672C211yesmaximal, characteristic, complemented
17#76672C211yesmaximal, characteristic, complemented
18#76313C211yesmaximal, characteristic, complemented
19#76305C211yesmaximal, characteristic, complemented
20#75839C211yesmaximal, characteristic, complemented
21#75597C211yesmaximal, characteristic, complemented
22#75546C211yesmaximal, characteristic, complemented
23#75481C211yesmaximal, characteristic, complemented
24#74791C211yesmaximal, characteristic, complemented
25#74700C211yesmaximal, characteristic, complemented
26#74678C211yesmaximal, characteristic, complemented
27#74658C211yesmaximal, characteristic, complemented
28#74121C211yesmaximal, characteristic, complemented
29#74097C211yesmaximal, characteristic, complemented
30#74070C211yesmaximal, characteristic, complemented
31#74052C211yesmaximal, characteristic, complemented
32#59097—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#935C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×#930C2211yescharacteristic
53C2×#929C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic
55C22×C4×Dic3C2211yescharacteristic
56#5599—28no—
57#5596—28no—
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×#888C2211yescharacteristic
63C2×#887C2211yescharacteristic
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic
67C2×#885C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×#877C2211yescharacteristic
79C2×#875C2211yescharacteristic
80C3×#398C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#390C2211yescharacteristic
87C3×#388C2211yescharacteristic
88C3×#388C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C3×#386C2211yescharacteristic
91C3×#381C2211yescharacteristic
92C3×#381C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5213C2211yescharacteristic
102#5213C2211yescharacteristic
103C2×C3⋊#95C2211yescharacteristic
104#4991C2211yescharacteristic
105#4990C2211yescharacteristic
106#4989C2211yescharacteristic
107#4988C2211yescharacteristic
108#4979C2211yescharacteristic
109#4979C2211yescharacteristic
110#4978C2211yescharacteristic
111#4976C2211yescharacteristic
112#4976C2211yescharacteristic
113#4973C2211yescharacteristic
114#4961C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4958C2211yescharacteristic
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4947C2211yescharacteristic
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic
147#4944C2211yescharacteristic
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic
150Dic3×C22⋊C4C2211yescharacteristic
151Dic3×C22⋊C4C2211yescharacteristic
152Dic3×C22⋊C4C2211yescharacteristic
153Dic3×C22⋊C4C2211yescharacteristic
154Dic3×C22⋊C4C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×Dic3⋊C4C2211yescharacteristic
158#4673C2211yescharacteristic
159#4672C2211yescharacteristic
160#4672C2211yescharacteristic
161#4671C2211yescharacteristic
162#4671C2211yescharacteristic
163#4670C2211yescharacteristic
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4667C2211yescharacteristic
170#4666C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4664C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4657C2211yescharacteristic
181#4655C2211yescharacteristic
182#4652C2211yescharacteristic
183#4652C2211yescharacteristic
184#4649C2211yescharacteristic
185#4649C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#550—31no—
191C2×#532—31no—
192#2699—31no—
193#2699D311yescharacteristic, complemented
194#2673—31no—
195#2673—31no—
196#2555—31no—
197#2555—31no—
198#2541—31no—
199#2491—31no—
200#2464—31no—
201#2464—31no—
202#2459—31no—
203#2459—31no—
204#2451—31no—
205#2445—31no—
206#2431—31no—
207#2431—31no—
208#2431—31no—
209#2431—31no—
210#2430—31no—
211#2430—31no—
212#2428—31no—
213#2414—31no—
214#2367—31no—
215#2364—31no—
216#2364—31no—
217#2363—31no—
218#2339—31no—
219C4×#123—31no—
220#2297—31no—
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
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
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#237—24no—
252C2×#237—24no—
253C2×#237—24no—
254C2×#237—24no—
255C2×#237—42no—
256C2×#237—42no—
257C2×#237—42no—
258C2×#237—42no—
259C2×#237—42no—
260C2×#235—24no—
261C2×#235—24no—
262C2×#235—42no—
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×Dic6C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C3×#121—24no—
279C3×#121—24no—
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊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
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#940—24no—
310#940—24no—
311#940—24no—
312#940—24no—
313#940—42no—
314#939—24no—
315#939—24no—
316#939—24no—
317#939—42no—
318#939—42no—
319#939D418yescomplemented
320#935—42no—
321D4×Dic3—24no—
322#930—24no—
323#929—24no—
324C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3—24no—
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377#895—24no—
378#895—42no—
379#894—42no—
380#893—24no—
381#888—24no—
382#887—24no—
383#885—24no—
384#885—24no—
385#885—24no—
386#885—42no—
387#884—24no—
388#884—24no—
389#884—24no—
390#884—42no—
391#884—42no—
392#67⋊C4—24no—
393#67⋊C4—24no—
394#67⋊C4—24no—
395#67⋊C4—24no—
396#67⋊C4—42no—
397#877—42no—
398#875—42no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431C22×#41—31no—
432C22×#41—31no—
433#550—68no—
434#532—68no—
435C2×C4⋊Q8—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#127—31no—
440C2×#127—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#124—31no—
445C2×#124—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121C2×D311yescharacteristic
464C2×#121C2×D311yescharacteristic
465C2×C4×Q8—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×#117—31no—
475C22×C42—31no—
476#398—31no—
477#398C2×D311yescharacteristic
478#395—31no—
479#395—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394C2×D311yescharacteristic
488#394C2×D311yescharacteristic
489#394C2×D311yescharacteristic
490#393—31no—
491#393—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—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#392C2×D311yescharacteristic
507#392C2×D311yescharacteristic
508#391—31no—
509#391—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#390C2×D311yescharacteristic
522#389—31no—
523#389—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic
535#388C2×D311yescharacteristic
536#387—31no—
537#387—31no—
538#387—31no—
539#387—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#386—31no—
560#386—31no—
561#386C2×D311yescharacteristic
562#386C2×D311yescharacteristic
563#385—31no—
564#385—31no—
565#385—31no—
566#381—31no—
567#381C2×D311yescharacteristic
568#381C2×D311yescharacteristic
569#380—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C2×#95—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4C2×D414yes—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
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—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
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×#67C2×D414yes—
676C2×#67C2×D414yes—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3C2×D414yes—
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707#237—416no—
708#237—416no—
709#237—416no—
710#235—416no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—22no—
751C2×Dic6—22no—
752C2×Dic6—22no—
753C2×Dic6—41no—
754C2×Dic6—41no—
755C2×Dic6#4114yescomplemented
756C3×C4⋊C4—22no—
757C3×C4⋊C4—22no—
758C3×C4⋊C4—41no—
759C3×C4⋊C4—41no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C42—41no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217C2×D414yes—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
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)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4C2×D414yes—
811C4⋊Dic3—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4C2×D414yes—
823Dic3⋊C4#4114yescomplemented
824C4×Dic3—22no—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C2×#41—64no—
837C2×#41—64no—
838C2×#41—64no—
839C2×#41—64no—
840C2×#41—64no—
841C2×#41—64no—
842C2×#41—122no—
843C2×#41—122no—
844C2×#41—122no—
845C2×#41—122no—
846C2×#41—122no—
847C2×#41—122no—
848C22×Q8—31no—
849C22×Q8—31no—
850C22×Q8—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—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C22×D4C22×D311yescharacteristic
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4C22×D311yescharacteristic
892C23×C4C22×D311yescharacteristic
893C4⋊Q8—64no—
894#127—64no—
895#127—64no—
896#127—64no—
897#127—64no—
898#127—122no—
899#124—64no—
900#124—64no—
901#124—64no—
902#124—122no—
903#124—122no—
904#123—64no—
905#123—122no—
906#123—122no—
907#121—24no—
908#121—24no—
909#121—38no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923C4×Q8—64no—
924C4×D4—64no—
925C4×D4—64no—
926C4×D4—64no—
927C4×D4—64no—
928C4×D4—64no—
929C4×D4—64no—
930C4×D4—64no—
931C4×D4—122no—
932#117—122no—
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⋊C4C22×D311yescharacteristic
947C2×C4⋊C4C22×D311yescharacteristic
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
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—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⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—64no—
1013C2×C42C22×D311yescharacteristic
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#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#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
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×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3C22×D412yes—
1071C23×C3C22×D412yes—
1072C23×C3C2511yescharacteristic
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—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3C22×D412yes—
1101C3×D4—44no—
1102C3×D4—44no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—82no—
1106C3×D4—82no—
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—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—44no—
1138C2×C3×C4—44no—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C2×#4112yes—
1141C2×C3×C4C2×#4112yes—
1142#67—28no—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—44no—
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—
1158C2×Dic3—28no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
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—28no—
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—44no—
1187C2×Dic3—44no—
1188C2×Dic3—44no—
1189C2×Dic3—82no—
1190C2×Dic3C22×D412yes—
1191C2×Dic3C22×D412yes—
1192C2×Dic3C22×D412yes—
1193C2×Dic3C2×#4112yes—
1194C2×Dic3C2×#4112yes—
1195C2×Dic3C2×#4112yes—
1196C2×Dic3C2×#4112yes—
1197C2×Dic3H(5,𝔽2)12yes—
1198C2×Dic3H(5,𝔽2)12yes—
1199C2×Dic3H(5,𝔽2)12yes—
1200D12—44no—
1201D12—44no—
1202D12—82no—
1203D12—82no—
1204D12—82no—
1205D12—82no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—82no—
1212Dic6—28no—
1213Dic6—44no—
1214Dic6—44no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—31no—
1219C24C23×D311yescharacteristic
1220C24C23×D311yescharacteristic
1221C24C23×D311yescharacteristic
1222C24C23×D311yescharacteristic
1223#41—1216no—
1224#41—1216no—
1225#41—1216no—
1226#41—1216no—
1227C2×Q8—34no—
1228C2×Q8—62no—
1229C2×Q8—62no—
1230C2×Q8—62no—
1231C2×Q8—62no—
1232C2×Q8—62no—
1233C2×Q8—62no—
1234C2×Q8—121no—
1235C2×Q8—121no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—34no—
1243C2×D4—34no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
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—62no—
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—121no—
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—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4D3×D414yes—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
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—31no—
1336C22×C4—31no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—62no—
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—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—34no—
1388C4⋊C4—34no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—121no—
1401C4⋊C4—121no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—34no—
1409C22⋊C4—34no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
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⋊C4—121no—
1452C42—41no—
1453C42—62no—
1454C42—62no—
1455C42—62no—
1456C42—62no—
1457C42—62no—
1458C42—62no—
1459C42—62no—
1460C42—62no—
1461C42—62no—
1462C42—121no—
1463C42—121no—
1464C42—121no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—22no—
1469C22×C3—22no—
1470C22×C3—22no—
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—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3C23×D411yescharacteristic
1494C22×C3C22×#4111yescharacteristic
1495C22×C3C22×#4111yescharacteristic
1496C22×C3C2×H(5,𝔽2)11yescharacteristic
1497C22×C3C2×H(5,𝔽2)11yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3#58511yescharacteristic
1500C2×D3—22no—
1501C2×D3—22no—
1502C2×D3—22no—
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—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—22no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539Dic3—22no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—22no—
1543Dic3—22no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—41no—
1547Dic3—41no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3#54614yes—
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—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—32no—
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—61no—
1604C23—61no—
1605C23C2×D3×D412yes—
1606C23C2×D3×D412yes—
1607C23C24×D311yescharacteristic
1608Q8—68no—
1609Q8—124no—
1610Q8—124no—
1611D4—44no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—68no—
1616D4—82no—
1617D4—82no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—124no—
1624D4—124no—
1625D4—124no—
1626D4—124no—
1627D4—124no—
1628D4—124no—
1629D4—124no—
1630D4—124no—
1631D4—242no—
1632D4—242no—
1633D4—242no—
1634D4—242no—
1635D4—242no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
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—32no—
1670C2×C4—32no—
1671C2×C4—32no—
1672C2×C4—32no—
1673C2×C4—32no—
1674C2×C4—32no—
1675C2×C4—32no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—68no—
1682C2×C4—68no—
1683C2×C4—61no—
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—124no—
1710C2×C4—124no—
1711C2×C4—124no—
1712C2×C4—124no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—242no—
1718C2×C4—242no—
1719C2×C4C2×D3×D412yes—
1720C2×C4D3×#4112yes—
1721C2×C4D3×#4112yes—
1722C2×C3—42no—
1723C2×C3—42no—
1724C2×C3—81no—
1725C2×C3—81no—
1726C2×C3C2×#54611yescharacteristic
1727C2×C3D4×#4111yescharacteristic
1728C2×C3#348311yescharacteristic
1729C2×C3#348411yescharacteristic
1730C2×C3#350811yescharacteristic
1731C2×C3#351711yescharacteristic
1732C2×C3#354611yescharacteristic
1733D3—42no—
1734D3—81no—
1735D3—81no—
1736D3—81no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
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—62no—
1766C22—62no—
1767C22—62no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
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—
1793C22C22×D3×D411yescharacteristic
1794C22C2×D3×#4111yescharacteristic
1795C22C2×D3×#4111yescharacteristic
1796C22D3×H(5,𝔽2)11yescharacteristic
1797C22D3×H(5,𝔽2)11yescharacteristic
1798C22D3×H(5,𝔽2)11yescharacteristic
1799C22#596611yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—34no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—62no—
1813C4—62no—
1814C4—62no—
1815C4—62no—
1816C4—62no—
1817C4—62no—
1818C4—62no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C3#5909711yescharacteristic, complemented, Sylow
1824C2—42no—
1825C2—42no—
1826C2—81no—
1827C2—81no—
1828C2—122no—
1829C2—241no—
1830C2—241no—
1831C2—241no—
1832C2#8630811yescharacteristic
1833C2#8647011yescharacteristic
1834C2#8648611yescharacteristic
1835C2#8662611yescharacteristic
1836C2D3×#54611yescharacteristic
1837C2#8695911yescharacteristic
1838C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2699C2
hypercenter#2699D3
hypocenterC3#59097
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2699

Complements

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

NH ≅ G/Ntype
1. C2×#5599C2semidirect
2. C2×#5596C2semidirect
3. C3×#2699C2semidirect
4. #82683C2semidirect
5. #82651C2semidirect
6. #77753C2semidirect
7. #77748C2semidirect
8. #77116C2semidirect
9. #76949C2semidirect
10. #76912C2semidirect
11. #76907C2semidirect
12. #76903C2semidirect
13. #76896C2semidirect
14. #76688C2semidirect
15. #76682C2semidirect
16. #76672C2semidirect
17. #76672C2semidirect
18. #76313C2semidirect
19. #76305C2semidirect
20. #75839C2semidirect
21. #75597C2semidirect
22. #75546C2semidirect
23. #75481C2semidirect
24. #74791C2semidirect
25. #74700C2semidirect
26. #74678C2semidirect
27. #74658C2semidirect
28. #74121C2semidirect
29. #74097C2semidirect
30. #74070C2semidirect
31. #74052C2semidirect
193. #2699D3semidirect
319. #939D4semidirect
755. C2×Dic6#41semidirect
823. Dic3⋊C4#41semidirect
1823. C3#59097semidirect

Maximal subgroups

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

subgroupindex
C2×#55992
C2×#55962
C3×#26992
#826832
#826512
#777532
#777482
#771162
#769492
#769122
#769072
#769032
#768962
#766882
#766822
#766722
#763132
#763052
#758392
#755972
#755462
#754812
#747912
#747002
#746782
#746582
#741212
#740972
#740702
#740522
#590973