Finite Group Databasebeta

← #11044328

Subgroups — #11044328

Order 768.

2834 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5806C211yesmaximal, characteristic, complemented
2C2×#5587C211yesmaximal, characteristic, complemented
3C3×#2403C211yesmaximal, characteristic, complemented
4#84048C211yesmaximal, characteristic, complemented
5#84047C211yesmaximal, characteristic, complemented
6C2×#5221C211yesmaximal, characteristic, complemented
7#82596C211yesmaximal, characteristic, complemented
8#82595C211yesmaximal, characteristic, complemented
9#82591C211yesmaximal, characteristic, complemented
10#82584C211yesmaximal, characteristic, complemented
11#82583C211yesmaximal, characteristic, complemented
12#82581C211yesmaximal, characteristic, complemented
13#82578C211yesmaximal, characteristic, complemented
14#76730C211yesmaximal, characteristic, complemented
15#76726C211yesmaximal, characteristic, complemented
16#76725C211yesmaximal, characteristic, complemented
17#76715C211yesmaximal, characteristic, complemented
18#76709C211yesmaximal, characteristic, complemented
19#76707C211yesmaximal, characteristic, complemented
20#76696C211yesmaximal, characteristic, complemented
21#76670C211yesmaximal, characteristic, complemented
22#74869C211yesmaximal, characteristic, complemented
23#74826C211yesmaximal, characteristic, complemented
24#74803C211yesmaximal, characteristic, complemented
25#74778C211yesmaximal, characteristic, complemented
26#74691C211yesmaximal, characteristic, complemented
27#74687C211yesmaximal, characteristic, complemented
28#74665C211yesmaximal, characteristic, complemented
29#74657C211yesmaximal, characteristic, complemented
30#73835C211yesmaximal, characteristic, complemented
31#73825C211yesmaximal, characteristic, complemented
32#38420—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic, complemented
42C2×#953C2211yescharacteristic, complemented
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C22×#217C2211yescharacteristic, complemented
46C22×#217C2211yescharacteristic, complemented
47C22×#217C2211yescharacteristic, complemented
48C22×#217C2211yescharacteristic, complemented
49#5806—28no—
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic, complemented
55C2×#936C2211yescharacteristic, complemented
56C2×#936C2211yescharacteristic, complemented
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic
59C2×#935C2211yescharacteristic
60C2×#935C2211yescharacteristic, complemented
61C2×#935C2211yescharacteristic, complemented
62C2×#935C2211yescharacteristic, complemented
63C2×D4×Dic3C2211yescharacteristic
64C2×D4×Dic3C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C22×C4⋊Dic3C2211yescharacteristic, complemented
67C2×#924C2211yescharacteristic, complemented
68C22×C4×Dic3C2211yescharacteristic, complemented
69#5587—28no—
70C2×#886C2211yescharacteristic, complemented
71C2×#885C2211yescharacteristic, complemented
72C2×#879C2211yescharacteristic, complemented
73C2×#879C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#877C2211yescharacteristic, complemented
77C2×#877C2211yescharacteristic, complemented
78C2×#877C2211yescharacteristic, complemented
79C3×#392C2211yescharacteristic
80C3×#392C2211yescharacteristic
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic
87C3×#379C2211yescharacteristic
88#5247C2211yescharacteristic
89#5247C2211yescharacteristic, complemented
90#5247C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5222C2211yescharacteristic, complemented
104#5222C2211yescharacteristic, complemented
105#5221C2211yescharacteristic
106#5221C2211yescharacteristic
107#5221C2211yescharacteristic
108#5221C2211yescharacteristic
109#5221C2211yescharacteristic, complemented
110#5221C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5221C2211yescharacteristic, complemented
113#5221C2211yescharacteristic, complemented
114#5221C2211yescharacteristic, complemented
115#5220C2211yescharacteristic
116#5220C2211yescharacteristic
117#5220C2211yescharacteristic
118#5220C2211yescharacteristic, complemented
119#5220C2211yescharacteristic, complemented
120#5220C2211yescharacteristic, complemented
121#5220C2211yescharacteristic, complemented
122#5220C2211yescharacteristic, complemented
123#5213C2211yescharacteristic, complemented
124#5210C2211yescharacteristic, complemented
125#5210C2211yescharacteristic, complemented
126#5210C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4956C2211yescharacteristic, complemented
139#4952C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4952C2211yescharacteristic, complemented
142#4952C2211yescharacteristic, complemented
143#4951C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4951C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4949C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4947C2211yescharacteristic, complemented
161#4947C2211yescharacteristic, complemented
162#4946C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4943C2211yescharacteristic, complemented
169#4943C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4656C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4648C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#546—31no—
192#2850—31no—
193#2723—31no—
194#2714—31no—
195#2710—31no—
196#2706—31no—
197#2692—31no—
198#2678—31no—
199#2676—31no—
200#2670—31no—
201#2662—31no—
202#2661—31no—
203#2610—31no—
204#2603—31no—
205#2561—31no—
206#2539—31no—
207#2414—31no—
208#2413—31no—
209#2412—31no—
210#2411—31no—
211#2411—31no—
212#2410—31no—
213#2406—31no—
214#2405—31no—
215#2404—31no—
216#2403D311yescharacteristic, complemented
217#2324—31no—
218#2321—31no—
219C2×#390—31no—
220#2290—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C25×C3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—24no—
226C22×C3×D4—42no—
227C22×C3×D4—42no—
228C22×C3×D4—42no—
229C22×C3×D4—42no—
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C2×#237—24no—
260C2×#237—42no—
261C2×#237—42no—
262C22×C4×D3C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C3×#120—24no—
266C3×#120—24no—
267C3×#120—42no—
268C3×#120—42no—
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283#953—24no—
284#953—24no—
285#953—42no—
286C2×#217—24no—
287C2×#217—24no—
288C2×#217—24no—
289C2×#217—24no—
290C2×#217—42no—
291C2×#217—42no—
292C2×#217C2311yescharacteristic
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
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333#939—24no—
334#939—24no—
335#939—24no—
336#939—42no—
337#938—24no—
338#936—24no—
339#936—24no—
340#935—24no—
341#935—24no—
342#935—24no—
343#935—24no—
344#935—24no—
345#935—42no—
346D4×Dic3—24no—
347D4×Dic3D418yescomplemented
348C4×#67—24no—
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×C4⋊Dic3—42no—
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365#924—24no—
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×C4×Dic3—42no—
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#886—42no—
392#885—42no—
393#879—24no—
394#879—24no—
395#878—24no—
396#878—24no—
397#877—24no—
398#877—24no—
399#877—42no—
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C23×D4C2×D311yescharacteristic
428C23×D4C2×D311yescharacteristic
429#551—68no—
430#546—68no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120C2×D311yescharacteristic
455C2×#120C2×D311yescharacteristic
456C2×#120C2×D311yescharacteristic
457C2×#120C2×D311yescharacteristic
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117—31no—
463C2×#117—31no—
464C22×C4⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C42—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392C2×D311yescharacteristic
509#392C2×D311yescharacteristic
510#392C2×D311yescharacteristic
511#392C2×D311yescharacteristic
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#389—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#387—31no—
545#387—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#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#382—31no—
571#381—31no—
572#381—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379C2×D311yescharacteristic
579C4×C4⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582#376—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—416no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—416no—
648C2×C3×D4C2×D414yes—
649C2×C3×D4#4114yescomplemented
650C22×C3×C4—22no—
651C22×C3×C4—22no—
652C22×C3×C4—22no—
653C22×C3×C4—22no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3C2×D414yes—
708C22×Dic3C2×D414yescomplemented
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724#237—416no—
725C2×C4×D3—22no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×Dic6—22no—
729C2×Dic6—22no—
730C2×Dic6—41no—
731C2×Dic6—41no—
732C2×Dic6—41no—
733C2×Dic6—41no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
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—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217C2×D414yes—
788#217C2×D414yescomplemented
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796C4⋊Dic3—22no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801C4⋊Dic3—41no—
802C4⋊Dic3—41no—
803C4⋊Dic3C2×D414yescomplemented
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3C2×D414yescomplemented
828C25C22×D311yescharacteristic
829C25C22×D311yescharacteristic
830C25C22×D311yescharacteristic
831C2×#41—64no—
832C2×#41—122no—
833C2×#41—122no—
834C22×Q8—31no—
835C22×Q8—31no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—42no—
846C22×D4—42no—
847C22×D4—42no—
848C22×D4—42no—
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4C22×D311yescharacteristic
871C23×C4C22×D311yescharacteristic
872#126—64no—
873#126—64no—
874#124—64no—
875#124—64no—
876#124—122no—
877#123—64no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—122no—
883#123—122no—
884C22⋊Q8—64no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—122no—
892#120—24no—
893#120—24no—
894#120—42no—
895#120—42no—
896#120—64no—
897#120—64no—
898#120—122no—
899C4×D4—38no—
900C4×D4—64no—
901C4×D4—64no—
902#117—64no—
903#117—64no—
904#117—122no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—122no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—64no—
978C2×C22⋊C4—64no—
979C2×C22⋊C4—64no—
980C2×C22⋊C4—64no—
981C2×C22⋊C4—122no—
982C2×C22⋊C4—122no—
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—122no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—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×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—44no—
1079C23×C3—44no—
1080C23×C3—44no—
1081C23×C3—44no—
1082C23×C3—44no—
1083C23×C3—44no—
1084C23×C3—44no—
1085C23×C3—44no—
1086C23×C3—82no—
1087C23×C3—82no—
1088C23×C3—82no—
1089C23×C3—82no—
1090C23×C3—82no—
1091C23×C3—82no—
1092C23×C3—82no—
1093C23×C3—82no—
1094C23×C3—82no—
1095C23×C3—82no—
1096C23×C3—82no—
1097C23×C3C22×D412yes—
1098C23×C3C22×D412yes—
1099C23×C3C2×#4112yes—
1100C23×C3C2×#4112yes—
1101C23×C3H(5,𝔽2)12yes—
1102C23×C3H(5,𝔽2)12yes—
1103C23×C3C2511yescharacteristic
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C3×D4—28no—
1112C3×D4—44no—
1113C3×D4—44no—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—82no—
1121C3×D4—82no—
1122C3×D4—82no—
1123C2×C3×C4—28no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—44no—
1146C2×C3×C4C22×D412yes—
1147C2×C3×C4C2×#4112yes—
1148C2×C3×C4H(5,𝔽2)12yes—
1149#67—44no—
1150#67—44no—
1151#67—44no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
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—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—44no—
1198C2×Dic3—44no—
1199C2×Dic3—44no—
1200C2×Dic3—44no—
1201C2×Dic3—44no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—82no—
1205C2×Dic3C22×D412yes—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C4×D3—44no—
1210Dic6—44no—
1211Dic6—82no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—31no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24C23×D311yescharacteristic
1235C24C23×D311yescharacteristic
1236C24C23×D311yescharacteristic
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241#41—1216no—
1242C2×Q8—62no—
1243C2×Q8—62no—
1244C2×Q8—121no—
1245C2×Q8—121no—
1246C2×Q8—121no—
1247C2×Q8—121no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—416no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—416no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
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×D4D3×D414yes—
1306C2×D4#23714yescomplemented
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—34no—
1316C22×C4—34no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C4⋊C4—34no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—34no—
1396C22⋊C4—34no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C42—34no—
1449C42—62no—
1450C42—62no—
1451C42—62no—
1452C42—62no—
1453C42—121no—
1454C42—121no—
1455C42—121no—
1456C42—121no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—22no—
1469C22×C3—22no—
1470C22×C3—22no—
1471C22×C3—22no—
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×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—88no—
1506C22×C3—88no—
1507C22×C3—88no—
1508C22×C3#53514yes—
1509C22×C3C23×D411yescharacteristic
1510C22×C3C22×#4111yescharacteristic
1511C22×C3C2×H(5,𝔽2)11yescharacteristic
1512C22×C3C2×H(5,𝔽2)11yescharacteristic
1513C22×C3C2×H(5,𝔽2)11yescharacteristic
1514C22×C3#58511yescharacteristic
1515C22×C3#58511yescharacteristic
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C3×C4—22no—
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531Dic3—22no—
1532Dic3—22no—
1533Dic3—22no—
1534Dic3—22no—
1535Dic3—41no—
1536Dic3—41no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—82no—
1610C23—82no—
1611C23—82no—
1612C23—82no—
1613C23—82no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23C2×D3×D412yes—
1618C23C2×D3×D412yes—
1619C23C2×#23712yes—
1620C23C2×#23712yes—
1621C23#100412yes—
1622C23#100412yes—
1623C23C24×D311yescharacteristic
1624Q8—124no—
1625Q8—242no—
1626D4—28no—
1627D4—44no—
1628D4—44no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—44no—
1634D4—44no—
1635D4—82no—
1636D4—82no—
1637D4—82no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
1645C2×C4—28no—
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—32no—
1668C2×C4—32no—
1669C2×C4—32no—
1670C2×C4—32no—
1671C2×C4—44no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
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—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—242no—
1722C2×C4C2×D3×D412yes—
1723C2×C4C2×#23712yes—
1724C2×C4#100412yes—
1725C2×C3—24no—
1726C2×C3—42no—
1727C2×C3—42no—
1728C2×C3—42no—
1729C2×C3—81no—
1730C2×C3—81no—
1731C2×C3—81no—
1732C2×C3C2×#53511yescharacteristic
1733C2×C3D4×#4111yescharacteristic
1734C2×C3#349011yescharacteristic
1735C2×C3#349611yescharacteristic
1736C2×C3#351311yescharacteristic
1737C2×C3#354211yescharacteristic
1738C2×C3#354511yescharacteristic
1739D3—81no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—88no—
1789C22—88no—
1790C22—88no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22#559214yes—
1799C22C22×D3×D411yescharacteristic
1800C22C22×#23711yescharacteristic
1801C22C2×#100411yescharacteristic
1802C22C2×#100411yescharacteristic
1803C22C2×#100411yescharacteristic
1804C22#596611yescharacteristic
1805C22#596611yescharacteristic
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—62no—
1815C4—62no—
1816C4—62no—
1817C4—62no—
1818C4—121no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C3#3842011yescharacteristic, complemented, Sylow
1830C2—24no—
1831C2—42no—
1832C2—42no—
1833C2—42no—
1834C2—81no—
1835C2—81no—
1836C2—81no—
1837C2—241no—
1838C2C2×#559211yescharacteristic
1839C2#8591311yescharacteristic
1840C2#8630411yescharacteristic
1841C2D4×#23711yescharacteristic
1842C2#8660911yescharacteristic
1843C2#8661511yescharacteristic
1844C2#8662111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2403C2
hypercenter#2403D3
hypocenterC3#38420
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. C2×#5806C2semidirect
2. C2×#5587C2semidirect
3. C3×#2403C2semidirect
4. #84048C2semidirect
5. #84047C2semidirect
6. C2×#5221C2semidirect
7. #82596C2semidirect
8. #82595C2semidirect
9. #82591C2semidirect
10. #82584C2semidirect
11. #82583C2semidirect
12. #82581C2semidirect
13. #82578C2semidirect
14. #76730C2semidirect
15. #76726C2semidirect
16. #76725C2semidirect
17. #76715C2semidirect
18. #76709C2semidirect
19. #76707C2semidirect
20. #76696C2semidirect
21. #76670C2semidirect
22. #74869C2semidirect
23. #74826C2semidirect
24. #74803C2semidirect
25. #74778C2semidirect
26. #74691C2semidirect
27. #74687C2semidirect
28. #74665C2semidirect
29. #74657C2semidirect
30. #73835C2semidirect
31. #73825C2semidirect
41. C2×#953C22semidirect
42. C2×#953C22semidirect
45. C22×#217C22semidirect
46. C22×#217C22semidirect
47. C22×#217C22semidirect
48. C22×#217C22semidirect
52. C2×#939C22semidirect
53. C2×#939C22semidirect
54. C2×#938C22semidirect
55. C2×#936C22semidirect
56. C2×#936C22semidirect
60. C2×#935C22semidirect
61. C2×#935C22semidirect
62. C2×#935C22semidirect
64. C2×D4×Dic3C22semidirect
65. C2×C4×#67C22semidirect
66. C22×C4⋊Dic3C22semidirect
67. C2×#924C22semidirect
68. C22×C4×Dic3C22semidirect
70. C2×#886C22semidirect
71. C2×#885C22semidirect
72. C2×#879C22semidirect
73. C2×#879C22semidirect
74. C2×#878C22semidirect
75. C2×#878C22semidirect
76. C2×#877C22semidirect
77. C2×#877C22semidirect
78. C2×#877C22semidirect
89. #5247C22semidirect
90. #5247C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5222C22semidirect
104. #5222C22semidirect
109. #5221C22semidirect
110. #5221C22semidirect
111. #5221C22semidirect
112. #5221C22semidirect
113. #5221C22semidirect
114. #5221C22semidirect
118. #5220C22semidirect
119. #5220C22semidirect
120. #5220C22semidirect
121. #5220C22semidirect
122. #5220C22semidirect
123. #5213C22semidirect
124. #5210C22semidirect
125. #5210C22semidirect
126. #5210C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4958C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4956C22semidirect
138. #4956C22semidirect
139. #4952C22semidirect
140. #4952C22semidirect
141. #4952C22semidirect
142. #4952C22semidirect
143. #4951C22semidirect
144. #4951C22semidirect
145. #4951C22semidirect
146. #4951C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
150. #4950C22semidirect
151. #4950C22semidirect
152. #4949C22semidirect
153. #4949C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
160. #4947C22semidirect
161. #4947C22semidirect
162. #4946C22semidirect
163. #4945C22semidirect
164. #4944C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4943C22semidirect
169. #4943C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4656C22semidirect
181. #4656C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4648C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
216. #2403D3semidirect
347. D4×Dic3D4semidirect
649. C2×C3×D4#41semidirect
708. C22×Dic3C2×D4semidirect
788. #217C2×D4semidirect
803. C4⋊Dic3C2×D4semidirect
827. C4×Dic3C2×D4semidirect
1306. C2×D4#237semidirect
1829. C3#38420semidirect

Maximal subgroups

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

subgroupindex
C2×#58062
C2×#55872
C3×#24032
#840482
#840472
C2×#52212
#825962
#825952
#825912
#825842
#825832
#825812
#825782
#767302
#767262
#767252
#767152
#767092
#767072
#766962
#766702
#748692
#748262
#748032
#747782
#746912
#746872
#746652
#746572
#738352
#738252
#384203