Finite Group Databasebeta

← #11235315

Subgroups — #11235315

Order 768.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#121C211yesmaximal, characteristic, complemented
2C2×#5621C211yesmaximal, characteristic, complemented
3#84053C211yesmaximal, characteristic, complemented
4#84050C211yesmaximal, characteristic, complemented
5#84048C211yesmaximal, characteristic, complemented
6#84048C211yesmaximal, characteristic, complemented
7#84047C211yesmaximal, characteristic, complemented
8#84047C211yesmaximal, characteristic, complemented
9#84033C211yesmaximal, characteristic, complemented
10#84031C211yesmaximal, characteristic, complemented
11#82721C211yesmaximal, characteristic, complemented
12#82719C211yesmaximal, characteristic, complemented
13#82716C211yesmaximal, characteristic, complemented
14#82715C211yesmaximal, characteristic, complemented
15#82697C211yesmaximal, characteristic, complemented
16#82695C211yesmaximal, characteristic, complemented
17#82694C211yesmaximal, characteristic, complemented
18#82692C211yesmaximal, characteristic, complemented
19#82687C211yesmaximal, characteristic, complemented
20#82686C211yesmaximal, characteristic, complemented
21#82685C211yesmaximal, characteristic, complemented
22#82684C211yesmaximal, characteristic, complemented
23#82682C211yesmaximal, characteristic, complemented
24#82681C211yesmaximal, characteristic, complemented
25#82639C211yesmaximal, characteristic, complemented
26#82174C211yesmaximal, characteristic, complemented
27#82173C211yesmaximal, characteristic, complemented
28#82128C211yesmaximal, characteristic, complemented
29#82111C211yesmaximal, characteristic, complemented
30#82110C211yesmaximal, characteristic, complemented
31#82110C211yesmaximal, characteristic, complemented
32#45443—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C23×C3×D4C2211yescharacteristic
36C24×C3×C4C2211yescharacteristic
37C2×C3×#121—28no—
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic
46C22×C3×C4⋊C4C2211yescharacteristic
47C22×C3×C22⋊C4C2211yescharacteristic
48C22×C3×C22⋊C4C2211yescharacteristic
49C2×#953C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C2×#953C2211yescharacteristic
52C22×#217C2211yescharacteristic
53C22×#217C2211yescharacteristic
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic, complemented
58C2×#938C2211yescharacteristic, complemented
59C2×#938C2211yescharacteristic, complemented
60C2×#936C2211yescharacteristic, complemented
61C2×#936C2211yescharacteristic, complemented
62C2×#935C2211yescharacteristic, complemented
63C2×#935C2211yescharacteristic, complemented
64C2×#935C2211yescharacteristic, complemented
65C2×#935C2211yescharacteristic, complemented
66C2×#929C2211yescharacteristic, complemented
67C2×#929C2211yescharacteristic, complemented
68C2×C4×#67C2211yescharacteristic
69C2×#924C2211yescharacteristic
70C2×#924C2211yescharacteristic
71C2×#924C2211yescharacteristic, complemented
72C2×#924C2211yescharacteristic, complemented
73#5621—28no—
74C2×#896C2211yescharacteristic, complemented
75C2×#889C2211yescharacteristic, complemented
76C2×#885C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80#5247C2211yescharacteristic
81#5247C2211yescharacteristic
82#5247C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5247C2211yescharacteristic
86#5247C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5223C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5222C2211yescharacteristic, complemented
104#5222C2211yescharacteristic, complemented
105#5222C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5222C2211yescharacteristic, complemented
110#5222C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5221C2211yescharacteristic, complemented
113#5221C2211yescharacteristic, complemented
114#5221C2211yescharacteristic, complemented
115#5220C2211yescharacteristic, complemented
116#5220C2211yescharacteristic, complemented
117#5220C2211yescharacteristic, complemented
118#5220C2211yescharacteristic, complemented
119#5220C2211yescharacteristic, complemented
120#5220C2211yescharacteristic, complemented
121#5220C2211yescharacteristic, complemented
122#5220C2211yescharacteristic, complemented
123#5213C2211yescharacteristic
124#5213C2211yescharacteristic
125#5213C2211yescharacteristic
126#5213C2211yescharacteristic, complemented
127#5213C2211yescharacteristic, complemented
128#5212C2211yescharacteristic
129#5212C2211yescharacteristic
130#5212C2211yescharacteristic, complemented
131#5212C2211yescharacteristic, complemented
132#5211C2211yescharacteristic, complemented
133#5211C2211yescharacteristic, complemented
134#5210C2211yescharacteristic
135#5210C2211yescharacteristic
136#5210C2211yescharacteristic
137#5210C2211yescharacteristic
138#5210C2211yescharacteristic
139#5210C2211yescharacteristic
140#5210C2211yescharacteristic
141#5210C2211yescharacteristic, complemented
142#5210C2211yescharacteristic, complemented
143#5210C2211yescharacteristic, complemented
144#5210C2211yescharacteristic, complemented
145#5210C2211yescharacteristic, complemented
146#5210C2211yescharacteristic, complemented
147C4×#217C2211yescharacteristic
148#4994C2211yescharacteristic, complemented
149#4993C2211yescharacteristic, complemented
150#4989C2211yescharacteristic, complemented
151#4985C2211yescharacteristic, complemented
152#4983C2211yescharacteristic, complemented
153#4983C2211yescharacteristic, complemented
154#4982C2211yescharacteristic, complemented
155#4981C2211yescharacteristic, complemented
156#4980C2211yescharacteristic, complemented
157#4980C2211yescharacteristic, complemented
158#4979C2211yescharacteristic, complemented
159#4978C2211yescharacteristic, complemented
160#4976C2211yescharacteristic, complemented
161#4976C2211yescharacteristic, complemented
162#4961C2211yescharacteristic, complemented
163#4961C2211yescharacteristic, complemented
164#4959C2211yescharacteristic, complemented
165#4959C2211yescharacteristic, complemented
166#4957C2211yescharacteristic, complemented
167#4956C2211yescharacteristic, complemented
168#4952C2211yescharacteristic, complemented
169#4952C2211yescharacteristic, complemented
170#4951C2211yescharacteristic, complemented
171#4951C2211yescharacteristic, complemented
172#4950C2211yescharacteristic, complemented
173#4950C2211yescharacteristic, complemented
174#4949C2211yescharacteristic, complemented
175#4949C2211yescharacteristic, complemented
176#4949C2211yescharacteristic, complemented
177#4948C2211yescharacteristic, complemented
178#4948C2211yescharacteristic, complemented
179#4948C2211yescharacteristic, complemented
180#4948C2211yescharacteristic, complemented
181#4947C2211yescharacteristic, complemented
182#4947C2211yescharacteristic, complemented
183#4947C2211yescharacteristic, complemented
184#4946C2211yescharacteristic, complemented
185#4946C2211yescharacteristic, complemented
186#4945C2211yescharacteristic, complemented
187#4944C2211yescharacteristic, complemented
188#4942C2211yescharacteristic, complemented
189#4942C2211yescharacteristic, complemented
190C2×#562—31no—
191C22×#121D311yescharacteristic, complemented
192#2849—31no—
193#2848—31no—
194#2816—31no—
195#2813—31no—
196#2711—31no—
197#2708—31no—
198#2701—31no—
199#2686—31no—
200#2682—31no—
201#2681—31no—
202#2676—31no—
203#2676—31no—
204#2672—31no—
205#2671—31no—
206#2671—31no—
207#2671—31no—
208#2473—31no—
209#2472—31no—
210#2449—31no—
211#2437—31no—
212#2437—31no—
213#2435—31no—
214#2418—31no—
215#2410—31no—
216#2410—31no—
217#2408—31no—
218#2405—31no—
219#2405—31no—
220#2377—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C25×C3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—24no—
226C22×C3×D4—24no—
227C22×C3×D4—42no—
228C22×C3×D4—42no—
229C22×C3×D4—42no—
230C22×C3×D4—42no—
231C22×C3×D4—42no—
232C22×C3×D4—42no—
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
242C22×C3×D4C2311yescharacteristic
243C22×C3×D4C2311yescharacteristic
244C22×C3×D4C2311yescharacteristic
245C23×C3×C4—24no—
246C23×C3×C4—42no—
247C23×C3×C4—42no—
248C23×C3×C4C2311yescharacteristic
249C23×C3×C4C2311yescharacteristic
250C23×C3×C4C2311yescharacteristic
251C23×C3×C4C2311yescharacteristic
252C23×C3×C4C2311yescharacteristic
253C23×C3×C4C2311yescharacteristic
254C23×C3×C4C2311yescharacteristic
255C23×C3×C4C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C3×#121—24no—
271C3×#121—24no—
272C3×#121—24no—
273C3×#121—24no—
274C3×#121—24no—
275C3×#121—24no—
276C3×#121—24no—
277C3×#121D418yescomplemented
278C2×C3×C4⋊C4—24no—
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4—24no—
284C2×C3×C22⋊C4—24no—
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
293#953—42no—
294#953—42no—
295#953—42no—
296C2×#217—42no—
297C2×#217—42no—
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
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340C2×#217C2311yescharacteristic
341C2×#217C2311yescharacteristic
342C2×#217C2311yescharacteristic
343#939—24no—
344#939—24no—
345#939—42no—
346#939—42no—
347#938—24no—
348#938—42no—
349#936—24no—
350#936—42no—
351#935—24no—
352#935—24no—
353#935—42no—
354#935—42no—
355#929—24no—
356#929—42no—
357C4×#67—42no—
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371#924—24no—
372#924—42no—
373#924—42no—
374#924—42no—
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395C2×C4×Dic3C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397#896—24no—
398#889—24no—
399#885—24no—
400#883—24no—
401#878—24no—
402#878—24no—
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
429C23×D4C2×D311yescharacteristic
430C23×D4C2×D311yescharacteristic
431C23×D4C2×D311yescharacteristic
432C24×C4C2×D311yescharacteristic
433#562—68no—
434C2×#125—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—31no—
452C2×#121—28no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121C2×D311yescharacteristic
460C2×#121C2×D311yescharacteristic
461C2×#121C2×D311yescharacteristic
462C2×#121C2×D311yescharacteristic
463C2×#121C2×D311yescharacteristic
464C2×#121C2×D311yescharacteristic
465C2×#121C2×D311yescharacteristic
466C2×#121C2×D311yescharacteristic
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×C4×D4—31no—
471C22×C4⋊C4C2×D311yescharacteristic
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4C2×D311yescharacteristic
475C22×C22⋊C4C2×D311yescharacteristic
476#400—31no—
477#399—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#398—31no—
482#398—31no—
483#398—31no—
484#398—31no—
485#397—31no—
486#397—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#393—31no—
516#393—31no—
517#393—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#389—31no—
530#389—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
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#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585C4×C22⋊C4—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—22no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3—41no—
606C24×C3—41no—
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C24×C3C2411yescharacteristic
612C24×C3C2411yescharacteristic
613C24×C3C2411yescharacteristic
614C23×D3C2411yescharacteristic
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—22no—
629C2×C3×D4—22no—
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—41no—
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—41no—
648C2×C3×D4—416no—
649C2×C3×D4—416no—
650C2×C3×D4—416no—
651C2×C3×D4C2×D414yes—
652C2×C3×D4C2×D414yes—
653C2×C3×D4C2×D414yes—
654C22×C3×C4—22no—
655C22×C3×C4—22no—
656C22×C3×C4—22no—
657C22×C3×C4—22no—
658C22×C3×C4—22no—
659C22×C3×C4—22no—
660C22×C3×C4—22no—
661C22×C3×C4—22no—
662C22×C3×C4—22no—
663C22×C3×C4—22no—
664C22×C3×C4—22no—
665C22×C3×C4—22no—
666C22×C3×C4—22no—
667C22×C3×C4—22no—
668C22×C3×C4—41no—
669C22×C3×C4—41no—
670C22×C3×C4—41no—
671C22×C3×C4—41no—
672C22×C3×C4—41no—
673C22×C3×C4—41no—
674C22×C3×C4—41no—
675C22×C3×C4—41no—
676C22×C3×C4—41no—
677C22×C3×C4—416no—
678C22×C3×C4C2×D414yes—
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
684C22×C3×C4C2411yescharacteristic
685C22×C3×C4C2411yescharacteristic
686C22×C3×C4C2411yescharacteristic
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C22×Dic3—22no—
709C22×Dic3—22no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3—41no—
717C22×Dic3—41no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C2×C4×D3—22no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×Dic6—22no—
739C2×Dic6—22no—
740C2×Dic6—41no—
741C2×Dic6—41no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C3×C4⋊C4—22no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4C2×D414yes—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4C2×D414yes—
755C3×C22⋊C4C2×D414yes—
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—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217—41no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808C4⋊Dic3—22no—
809C4⋊Dic3—22no—
810C4⋊Dic3—41no—
811C4⋊Dic3—41no—
812C4⋊Dic3—41no—
813C4⋊Dic3—41no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—41no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4—41no—
829Dic3⋊C4—41no—
830Dic3⋊C4—41no—
831Dic3⋊C4—41no—
832Dic3⋊C4—41no—
833C4×Dic3—22no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C25C22×D311yescharacteristic
837C25C22×D311yescharacteristic
838C25C22×D311yescharacteristic
839C22×Q8—31no—
840C22×Q8—31no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—42no—
852C22×D4—42no—
853C22×D4—42no—
854C22×D4—42no—
855C22×D4—42no—
856C22×D4—42no—
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C22×D4C22×D311yescharacteristic
862C22×D4C22×D311yescharacteristic
863C22×D4C22×D311yescharacteristic
864C22×D4C22×D311yescharacteristic
865C22×D4C22×D311yescharacteristic
866C22×D4C22×D311yescharacteristic
867C22×D4C22×D311yescharacteristic
868C22×D4C22×D311yescharacteristic
869C23×C4—24no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—42no—
876C23×C4—42no—
877C23×C4C22×D311yescharacteristic
878C23×C4C22×D311yescharacteristic
879C23×C4C22×D311yescharacteristic
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882C23×C4C22×D311yescharacteristic
883C23×C4C22×D311yescharacteristic
884C23×C4C22×D311yescharacteristic
885#125—64no—
886#124—64no—
887#124—64no—
888#124—122no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—122no—
894#123—122no—
895#123—122no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898C22⋊Q8—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902C22⋊Q8—122no—
903#121—24no—
904#121—24no—
905#121—24no—
906#121—24no—
907#121—24no—
908#121—24no—
909#121—24no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—122no—
914#121—122no—
915#121—122no—
916#121#6718yescomplemented
917#120—122no—
918#120—122no—
919#120—122no—
920C4×D4—122no—
921C2×C4⋊C4—24no—
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⋊C4C22×D311yescharacteristic
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C22⋊C4—24no—
952C2×C22⋊C4—24no—
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⋊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⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—122no—
1006C2×C22⋊C4—122no—
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C42—31no—
1016C2×C42—31no—
1017C2×C42—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#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—28no—
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—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—44no—
1088C23×C3—44no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—44no—
1095C23×C3—44no—
1096C23×C3—44no—
1097C23×C3—44no—
1098C23×C3—44no—
1099C23×C3—44no—
1100C23×C3—44no—
1101C23×C3—82no—
1102C23×C3—82no—
1103C23×C3—82no—
1104C23×C3—82no—
1105C23×C3—82no—
1106C23×C3—82no—
1107C23×C3C22×D412yes—
1108C23×C3C22×D412yes—
1109C23×C3C22×D412yes—
1110C23×C3H(5,𝔽2)12yes—
1111C23×C3H(5,𝔽2)12yes—
1112C23×C3H(5,𝔽2)12yes—
1113C23×C32−1+412yes—
1114C23×C3C2511yescharacteristic
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C3×D4—44no—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—44no—
1126C3×D4—44no—
1127C3×D4—44no—
1128C3×D4—44no—
1129C3×D4—44no—
1130C3×D4—44no—
1131C3×D4—44no—
1132C3×D4—44no—
1133C3×D4—44no—
1134C2×C3×C4—28no—
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—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—44no—
1155C2×C3×C4—44no—
1156C2×C3×C4—44no—
1157C2×C3×C4—44no—
1158C2×C3×C4—44no—
1159C2×C3×C4—44no—
1160C2×C3×C4—44no—
1161C2×C3×C4C22×D412yes—
1162C2×C3×C4C22×D412yes—
1163C2×C3×C4C22×D412yes—
1164C2×C3×C4C22×D412yes—
1165C2×C3×C4H(5,𝔽2)12yes—
1166#67—44no—
1167#67—82no—
1168#67—82no—
1169#67—82no—
1170#67—82no—
1171#67—82no—
1172#67—82no—
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—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—82no—
1219C2×Dic3—82no—
1220C2×Dic3—82no—
1221C2×Dic3—82no—
1222C4×D3—82no—
1223Dic6—82no—
1224Dic6—82no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—22no—
1236C24—22no—
1237C24—22no—
1238C24—31no—
1239C24—41no—
1240C24—41no—
1241C24—41no—
1242C24—41no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24C23×D311yescharacteristic
1248C24C23×D311yescharacteristic
1249C24C23×D311yescharacteristic
1250C24C23×D311yescharacteristic
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C2×Q8—62no—
1255C2×Q8—62no—
1256C2×Q8—121no—
1257C2×Q8—121no—
1258C2×Q8—121no—
1259C2×Q8—121no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—416no—
1294C2×D4—416no—
1295C2×D4—416no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
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×D4C2×#6714yes—
1318C2×D4C2×#6714yes—
1319C2×D4C2×#6714yes—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—31no—
1343C22×C4—31no—
1344C22×C4—31no—
1345C22×C4—31no—
1346C22×C4—31no—
1347C22×C4—31no—
1348C22×C4—31no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—416no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—121no—
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×C4C2×#6714yes—
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—121no—
1399C4⋊C4—121no—
1400C4⋊C4—121no—
1401C4⋊C4—121no—
1402C4⋊C4—121no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C4⋊C4—121no—
1407C4⋊C4—121no—
1408C4⋊C4—121no—
1409C4⋊C4—121no—
1410C4⋊C4—121no—
1411C4⋊C4C2×#6714yes—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
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—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4C2×#6714yes—
1471C22⋊C4C2×#6714yes—
1472C42—62no—
1473C42—121no—
1474C42—121no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—22no—
1484C22×C3—22no—
1485C22×C3—22no—
1486C22×C3—22no—
1487C22×C3—22no—
1488C22×C3—22no—
1489C22×C3—22no—
1490C22×C3—22no—
1491C22×C3—22no—
1492C22×C3—22no—
1493C22×C3—416no—
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—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—88no—
1525C22×C3—88no—
1526C22×C3#56214yescomplemented
1527C22×C3C23×D411yescharacteristic
1528C22×C3C2×H(5,𝔽2)11yescharacteristic
1529C22×C3C2×H(5,𝔽2)11yescharacteristic
1530C22×C3C2×H(5,𝔽2)11yescharacteristic
1531C22×C3C2×H(5,𝔽2)11yescharacteristic
1532C22×C3C2×2−1+411yescharacteristic
1533C22×C3#58511yescharacteristic
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C3×C4—22no—
1542C3×C4—22no—
1543C3×C4—22no—
1544C3×C4—22no—
1545C3×C4—22no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552Dic3—41no—
1553Dic3—41no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3—41no—
1561Dic3—41no—
1562Dic3—41no—
1563Dic3—41no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—28no—
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—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—82no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—82no—
1633C23—82no—
1634C23#100412yes—
1635C23#100412yes—
1636C23#100412yes—
1637C23#101012yes—
1638C23C22×#6712yes—
1639C23C22×#6712yes—
1640C23C22×#6712yes—
1641C23C24×D311yescharacteristic
1642Q8—242no—
1643Q8—242no—
1644D4—44no—
1645D4—44no—
1646D4—44no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—44no—
1652D4—44no—
1653D4—44no—
1654D4—44no—
1655D4—44no—
1656D4—124no—
1657D4—242no—
1658D4—242no—
1659D4—242no—
1660D4—242no—
1661D4—242no—
1662D4—242no—
1663C2×C4—28no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—242no—
1736C2×C4—242no—
1737C2×C4—242no—
1738C2×C4—242no—
1739C2×C4—242no—
1740C2×C4#100412yes—
1741C2×C4C22×#6712yes—
1742C2×C4C22×#6712yes—
1743C2×C4C22×#6712yes—
1744C2×C4C22×#6712yes—
1745C2×C3—24no—
1746C2×C3—42no—
1747C2×C3—42no—
1748C2×C3—42no—
1749C2×C3—42no—
1750C2×C3—81no—
1751C2×C3—81no—
1752C2×C3#348411yescharacteristic
1753C2×C3#348411yescharacteristic
1754C2×C3#348911yescharacteristic
1755C2×C3C2×#56211yescharacteristic
1756C2×C3#353411yescharacteristic
1757C2×C3#353611yescharacteristic
1758C2×C3#354211yescharacteristic
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—416no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—88no—
1810C22—88no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—121no—
1818C22#562114yescomplemented
1819C22C2×#100411yescharacteristic
1820C22C2×#100411yescharacteristic
1821C22C2×#100411yescharacteristic
1822C22C2×#100411yescharacteristic
1823C22C2×#101011yescharacteristic
1824C22#596411yescharacteristic
1825C22C23×#6711yescharacteristic
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C4—121no—
1849C3#4544311yescharacteristic, complemented, Sylow
1850C2—24no—
1851C2—42no—
1852C2—42no—
1853C2—42no—
1854C2—42no—
1855C2—81no—
1856C2—81no—
1857C2—241no—
1858C2C2×#562111yescharacteristic
1859C2#8595411yescharacteristic
1860C2#8595511yescharacteristic
1861C2#8595611yescharacteristic
1862C2#8723911yescharacteristic
1863C2#8723911yescharacteristic
1864C2#8726411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#121C2
hypercenterC22×#121D3
hypocenterC3#45443
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C22×C3×#121C2semidirect
2. C2×#5621C2semidirect
3. #84053C2semidirect
4. #84050C2semidirect
5. #84048C2semidirect
6. #84048C2semidirect
7. #84047C2semidirect
8. #84047C2semidirect
9. #84033C2semidirect
10. #84031C2semidirect
11. #82721C2semidirect
12. #82719C2semidirect
13. #82716C2semidirect
14. #82715C2semidirect
15. #82697C2semidirect
16. #82695C2semidirect
17. #82694C2semidirect
18. #82692C2semidirect
19. #82687C2semidirect
20. #82686C2semidirect
21. #82685C2semidirect
22. #82684C2semidirect
23. #82682C2semidirect
24. #82681C2semidirect
25. #82639C2semidirect
26. #82174C2semidirect
27. #82173C2semidirect
28. #82128C2semidirect
29. #82111C2semidirect
30. #82110C2semidirect
31. #82110C2semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#939C22semidirect
58. C2×#938C22semidirect
59. C2×#938C22semidirect
60. C2×#936C22semidirect
61. C2×#936C22semidirect
62. C2×#935C22semidirect
63. C2×#935C22semidirect
64. C2×#935C22semidirect
65. C2×#935C22semidirect
66. C2×#929C22semidirect
67. C2×#929C22semidirect
71. C2×#924C22semidirect
72. C2×#924C22semidirect
74. C2×#896C22semidirect
75. C2×#889C22semidirect
76. C2×#885C22semidirect
77. C2×#883C22semidirect
78. C2×#878C22semidirect
79. C2×#878C22semidirect
87. #5223C22semidirect
88. #5223C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5222C22semidirect
104. #5222C22semidirect
105. #5222C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
109. #5222C22semidirect
110. #5222C22semidirect
111. #5221C22semidirect
112. #5221C22semidirect
113. #5221C22semidirect
114. #5221C22semidirect
115. #5220C22semidirect
116. #5220C22semidirect
117. #5220C22semidirect
118. #5220C22semidirect
119. #5220C22semidirect
120. #5220C22semidirect
121. #5220C22semidirect
122. #5220C22semidirect
126. #5213C22semidirect
127. #5213C22semidirect
130. #5212C22semidirect
131. #5212C22semidirect
132. #5211C22semidirect
133. #5211C22semidirect
141. #5210C22semidirect
142. #5210C22semidirect
143. #5210C22semidirect
144. #5210C22semidirect
145. #5210C22semidirect
146. #5210C22semidirect
148. #4994C22semidirect
149. #4993C22semidirect
150. #4989C22semidirect
151. #4985C22semidirect
152. #4983C22semidirect
153. #4983C22semidirect
154. #4982C22semidirect
155. #4981C22semidirect
156. #4980C22semidirect
157. #4980C22semidirect
158. #4979C22semidirect
159. #4978C22semidirect
160. #4976C22semidirect
161. #4976C22semidirect
162. #4961C22semidirect
163. #4961C22semidirect
164. #4959C22semidirect
165. #4959C22semidirect
166. #4957C22semidirect
167. #4956C22semidirect
168. #4952C22semidirect
169. #4952C22semidirect
170. #4951C22semidirect
171. #4951C22semidirect
172. #4950C22semidirect
173. #4950C22semidirect
174. #4949C22semidirect
175. #4949C22semidirect
176. #4949C22semidirect
177. #4948C22semidirect
178. #4948C22semidirect
179. #4948C22semidirect
180. #4948C22semidirect
181. #4947C22semidirect
182. #4947C22semidirect
183. #4947C22semidirect
184. #4946C22semidirect
185. #4946C22semidirect
186. #4945C22semidirect
187. #4944C22semidirect
188. #4942C22semidirect
189. #4942C22semidirect
191. C22×#121D3semidirect
277. C3×#121D4semidirect
916. #121#67semidirect
1526. C22×C3#562semidirect
1818. C22#5621semidirect
1849. C3#45443semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1212
C2×#56212
#840532
#840502
#840482
#840472
#840332
#840312
#827212
#827192
#827162
#827152
#826972
#826952
#826942
#826922
#826872
#826862
#826852
#826842
#826822
#826812
#826392
#821742
#821732
#821282
#821112
#821102
#454433