Finite Group Databasebeta

← #11634036

Subgroups — #11634036

Order 768.

2936 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5828C211yesmaximal, characteristic, complemented
2C2×#5679C211yesmaximal, characteristic, complemented
3C3×#2431C211yesmaximal, characteristic, complemented
4#84097C211yesmaximal, characteristic, complemented
5#83176C211yesmaximal, characteristic, complemented
6#83175C211yesmaximal, characteristic, complemented
7#83006C211yesmaximal, characteristic, complemented
8#82707C211yesmaximal, characteristic, complemented
9#82657C211yesmaximal, characteristic, complemented
10#76768C211yesmaximal, characteristic, complemented
11#76759C211yesmaximal, characteristic, complemented
12#76758C211yesmaximal, characteristic, complemented
13#76758C211yesmaximal, characteristic, complemented
14#76755C211yesmaximal, characteristic, complemented
15#76730C211yesmaximal, characteristic, complemented
16#76689C211yesmaximal, characteristic, complemented
17#76676C211yesmaximal, characteristic, complemented
18#76656C211yesmaximal, characteristic, complemented
19#76616C211yesmaximal, characteristic, complemented
20#76437C211yesmaximal, characteristic, complemented
21#76329C211yesmaximal, characteristic, complemented
22#74895C211yesmaximal, characteristic, complemented
23#74880C211yesmaximal, characteristic, complemented
24D3×#386C211yesmaximal, characteristic, complemented
25#74734C211yesmaximal, characteristic, complemented
26#74726C211yesmaximal, characteristic, complemented
27#74722C211yesmaximal, characteristic, complemented
28#74679C211yesmaximal, characteristic, complemented
29#74659C211yesmaximal, characteristic, complemented
30#73578C211yesmaximal, characteristic, complemented
31#73470C211yesmaximal, characteristic, complemented
32#59045—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#127C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39#5828—28no—
40C2×#946C2211yescharacteristic
41C2×#946C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic, complemented
43C2×#940C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic, complemented
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#937C2211yescharacteristic
54C2×#937C2211yescharacteristic
55C2×#935C2211yescharacteristic, complemented
56C2×#935C2211yescharacteristic, complemented
57C2×#935C2211yescharacteristic, complemented
58C2×D4×Dic3C2211yescharacteristic, complemented
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61C2×C4×#67C2211yescharacteristic, complemented
62C2×C4×#67C2211yescharacteristic, complemented
63C2×C4×#67C2211yescharacteristic, complemented
64C2×#926C2211yescharacteristic, complemented
65#5679—28no—
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×#879C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#872C2211yescharacteristic
81C2×#872C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#391C2211yescharacteristic, complemented
87C3×#390C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93#5229C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5222C2211yescharacteristic
103#5222C2211yescharacteristic, complemented
104#5222C2211yescharacteristic, complemented
105#5222C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5221C2211yescharacteristic
109#5221C2211yescharacteristic, complemented
110#5221C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5221C2211yescharacteristic, complemented
113#5221C2211yescharacteristic, complemented
114#5220C2211yescharacteristic
115#5220C2211yescharacteristic, complemented
116#5220C2211yescharacteristic, complemented
117#5213C2211yescharacteristic
118#5213C2211yescharacteristic, complemented
119#5212C2211yescharacteristic, complemented
120#5210C2211yescharacteristic, complemented
121#5210C2211yescharacteristic, complemented
122#4994C2211yescharacteristic, complemented
123#4994C2211yescharacteristic, complemented
124#4989C2211yescharacteristic
125#4978C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4958C2211yescharacteristic
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4955C2211yescharacteristic
144#4953C2211yescharacteristic, complemented
145#4952C2211yescharacteristic, complemented
146#4951C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4945C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4939C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163#4933C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4677C2211yescharacteristic, complemented
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179D3×#95C2211yescharacteristic
180D3×#95C2211yescharacteristic
181#4661C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2732—31no—
193#2730—31no—
194#2714—31no—
195#2673—31no—
196#2554—31no—
197#2543—31no—
198#2539—31no—
199#2539—31no—
200#2479—31no—
201#2471—31no—
202#2471—31no—
203#2467—31no—
204#2456—31no—
205#2456—31no—
206#2445—31no—
207#2433—31no—
208#2431D311yescharacteristic, complemented
209#2425—31no—
210#2424—31no—
211#2411—31no—
212#2410—31no—
213#2407—31no—
214#2368—31no—
215#2366—31no—
216#2363—31no—
217#2359—31no—
218#2358—31no—
219C4×#120—31no—
220C2×#386—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C2×D3×D4—24no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C22×D12C2311yescharacteristic
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3—42no—
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C3×#127—42no—
270C3×#124—24no—
271C3×#121—42no—
272C2×C3×C4⋊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
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
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
312#946—24no—
313#946—24no—
314#946D418yescomplemented
315#940—24no—
316#938—24no—
317#938—24no—
318#938—42no—
319#938—42no—
320#938—42no—
321#937—24no—
322#937—24no—
323#937—24no—
324#937—24no—
325#937—24no—
326#937—42no—
327#935—24no—
328#935—24no—
329#935—24no—
330D4×Dic3—42no—
331C4×#67—24no—
332C4×#67—24no—
333C4×#67—24no—
334C4×#67—24no—
335C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355#926—24no—
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387#884—24no—
388#883—24no—
389#883—24no—
390#883—24no—
391#883—42no—
392#67⋊C4—24no—
393#67⋊C4—24no—
394#67⋊C4—42no—
395D3×C22⋊C4—24no—
396D3×C22⋊C4—24no—
397D3×C22⋊C4—42no—
398D3×C22⋊C4—42no—
399#879—24no—
400#879—24no—
401#872—24no—
402#872—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
429C22×#41C2×D311yescharacteristic, complemented
430C23×D4—31no—
431C24×C4—31no—
432#551—68no—
433C2×#127—31no—
434C2×#127C2×D311yescharacteristic
435C2×#126—31no—
436C2×#126—31no—
437C2×#124C2×D311yescharacteristic, complemented
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121C2×D311yescharacteristic, complemented
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×#117—31no—
472C2×#117—31no—
473C2×#117—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#398—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—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#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, complemented
508#392C2×D311yescharacteristic, complemented
509#392C2×D311yescharacteristic, complemented
510#391—31no—
511#391C2×D311yescharacteristic, complemented
512#390—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#390C2×D311yescharacteristic, complemented
526#389—31no—
527#389—31no—
528#388—31no—
529#388—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#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—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, complemented
563#386C2×D311yescharacteristic, complemented
564#386C2×D311yescharacteristic, complemented
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊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⋊C4C2×D311yescharacteristic, complemented
584C2×#95—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C3×#41—416no—
609C2×C3×Q8—41no—
610C2×C3×Q8—41no—
611C2×C3×Q8C2×D414yescomplemented
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—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
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—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
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—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—41no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713D3×D4—416no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12#4114yescomplemented
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—416no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3C2×D414yes—
745C3×C4⋊C4—41no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
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⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C42—22no—
759C3×C42—41no—
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—22no—
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(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—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4C2×D414yes—
802(C2×D3)⋊C4C2×D414yes—
803(C2×D3)⋊C4#4114yescomplemented
804C4⋊Dic3—22no—
805C4⋊Dic3—22no—
806C4⋊Dic3—22no—
807C4⋊Dic3—41no—
808C4⋊Dic3—41no—
809C4⋊Dic3—41no—
810C4⋊Dic3—41no—
811C4⋊Dic3—41no—
812C4⋊Dic3C2×D414yescomplemented
813Dic3⋊C4—22no—
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—41no—
823Dic3⋊C4—41no—
824Dic3⋊C4C2×D414yescomplemented
825Dic3⋊C4C2×D414yescomplemented
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—41no—
832C4×Dic3—41no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C25—31no—
836C25—31no—
837C2×#41—24no—
838C2×#41—42no—
839C2×#41—42no—
840C22×Q8C22×D311yescharacteristic
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—64no—
854C22×D4—122no—
855C22×D4—122no—
856C22×D4C22×D311yescharacteristic
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
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—64no—
878C23×C4—122no—
879C23×C4—122no—
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882C23×C4C22×D311yescharacteristic
883#127—42no—
884#127—64no—
885#126—64no—
886#126—64no—
887#124—24no—
888#123—64no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—64no—
894#123—122no—
895C22⋊Q8—38no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898#121—42no—
899#121—64no—
900#121—64no—
901#121—64no—
902#121—122no—
903#121—122no—
904#121—122no—
905#120—64no—
906#120—64no—
907#120—64no—
908#120—64no—
909#120—64no—
910#120—122no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—122no—
918C4×D4—122no—
919C4×D4—122no—
920#117—64no—
921#117—64no—
922#117—64no—
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⋊C4C22×D311yescharacteristic
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—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—64no—
991C2×C22⋊C4—64no—
992C2×C22⋊C4—122no—
993C2×C22⋊C4—122no—
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014C2×C42—31no—
1015C2×C42C22×D311yescharacteristic
1016C2×C42C22×D311yescharacteristic
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
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—21no—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3C2511yescharacteristic
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—28no—
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—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—44no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3C22×D412yes—
1110C22×D3C2×#4112yes—
1111C22×D3C2×#4112yes—
1112C22×D3C2×#4112yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×Q8—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—
1123C3×D4—82no—
1124C3×D4—82no—
1125C2×C3×C4—28no—
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—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—44no—
1151C2×C3×C4—44no—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C4C2×#4112yes—
1156C2×C3×C4C2×#4112yes—
1157C2×C3×C4H(5,𝔽2)12yes—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
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—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—44no—
1205C2×Dic3—82no—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C2×#4112yes—
1210D12—44no—
1211C4×D3—44no—
1212C4×D3—44no—
1213C4×D3—44no—
1214C4×D3—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—82no—
1219C4×D3—82no—
1220C24—31no—
1221C24—31no—
1222C24—31no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—62no—
1230C24—62no—
1231C24—62no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242#41—416no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8D3×D414yescomplemented
1246C2×D4—22no—
1247C2×D4—22no—
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—34no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
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—41no—
1276C2×D4—41no—
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—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
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—1216no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—34no—
1325C22×C4—31no—
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—41no—
1335C22×C4—41no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
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—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—1216no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C4⋊C4—34no—
1380C4⋊C4—34no—
1381C4⋊C4—34no—
1382C4⋊C4—41no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
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—121no—
1396C4⋊C4—121no—
1397C4⋊C4—121no—
1398C4⋊C4—121no—
1399C4⋊C4—121no—
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—22no—
1409C22⋊C4—22no—
1410C22⋊C4—34no—
1411C22⋊C4—34no—
1412C22⋊C4—34no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
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—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—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
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—
1458C42—22no—
1459C42—41no—
1460C42—62no—
1461C42—62no—
1462C42—62no—
1463C42—62no—
1464C42—62no—
1465C42—121no—
1466C42—121no—
1467C42—121no—
1468C42—121no—
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×C3C23×D411yescharacteristic
1505C22×C3C22×#4111yescharacteristic
1506C22×C3C22×#4111yescharacteristic
1507C22×C3C2×H(5,𝔽2)11yescharacteristic
1508C22×C3C2×H(5,𝔽2)11yescharacteristic
1509C22×C3C2×H(5,𝔽2)11yescharacteristic
1510C22×C3#58511yescharacteristic
1511C2×D3—22no—
1512C2×D3—22no—
1513C2×D3—22no—
1514C2×D3—22no—
1515C2×D3—22no—
1516C2×D3—22no—
1517C2×D3—22no—
1518C2×D3—22no—
1519C2×D3—22no—
1520C2×D3—22no—
1521C2×D3—22no—
1522C2×D3—22no—
1523C2×D3—416no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—88no—
1533C2×D3#55014yes—
1534C3×C4—22no—
1535C3×C4—22no—
1536C3×C4—22no—
1537C3×C4—22no—
1538C3×C4—22no—
1539C3×C4—22no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—22no—
1547Dic3—22no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552Dic3—41no—
1553Dic3—41no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
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—21no—
1590C23—21no—
1591C23—32no—
1592C23—32no—
1593C23—32no—
1594C23—32no—
1595C23—32no—
1596C23—68no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—124no—
1614C23—124no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—124no—
1622C23—124no—
1623C23—242no—
1624C23—242no—
1625C23—242no—
1626C23#100412yes—
1627C23C24×D311yescharacteristic
1628Q8—44no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—44no—
1634D4—82no—
1635D4—82no—
1636D4—82no—
1637D4—82no—
1638D4—82no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—124no—
1644D4—124no—
1645D4—124no—
1646D4—124no—
1647D4—124no—
1648D4—124no—
1649D4—124no—
1650D4—242no—
1651C2×C4—28no—
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—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—32no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—44no—
1681C2×C4—44no—
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—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—124no—
1724C2×C4—124no—
1725C2×C4—242no—
1726C2×C4—242no—
1727C2×C4—242no—
1728C2×C4C2×D3×D412yes—
1729C2×C4C2×D3×D412yes—
1730C2×C4C2×D3×D412yes—
1731C2×C4#100412yes—
1732C2×C4D3×#4112yes—
1733C2×C4D3×#4112yes—
1734C2×C3—42no—
1735C2×C3—81no—
1736C2×C3—81no—
1737C2×C3—81no—
1738C2×C3—81no—
1739C2×C3C2×#55011yescharacteristic
1740C2×C3D4×#4111yescharacteristic
1741C2×C3#348111yescharacteristic
1742C2×C3#348411yescharacteristic
1743C2×C3#349011yescharacteristic
1744C2×C3#351311yescharacteristic
1745C2×C3#354211yescharacteristic
1746D3—24no—
1747D3—42no—
1748D3—42no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—34no—
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—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—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
1791C22—62no—
1792C22—62no—
1793C22—62no—
1794C22—62no—
1795C22—62no—
1796C22—62no—
1797C22—1216no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—248no—
1807C22C22×D3×D411yescharacteristic
1808C22C2×#100411yescharacteristic
1809C22C2×#100411yescharacteristic
1810C22C2×D3×#4111yescharacteristic
1811C22C2×D3×#4111yescharacteristic
1812C22D3×H(5,𝔽2)11yescharacteristic
1813C22#596611yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—62no—
1825C4—62no—
1826C4—62no—
1827C4—62no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C4—121no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C3#5904511yescharacteristic, complemented, Sylow
1838C2—42no—
1839C2—64no—
1840C2—81no—
1841C2—81no—
1842C2—81no—
1843C2—81no—
1844C2—122no—
1845C2—122no—
1846C2#8591911yescharacteristic
1847C2#8623911yescharacteristic
1848C2#8633511yescharacteristic
1849C2#8663511yescharacteristic
1850C2#8666411yescharacteristic
1851C2#8676611yescharacteristic
1852C2D3×#55011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2431C2
hypercenter#2431D3
hypocenterC3#59045
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2431

Complements

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

NH ≅ G/Ntype
1. C2×#5828C2semidirect
2. C2×#5679C2semidirect
3. C3×#2431C2semidirect
4. #84097C2semidirect
5. #83176C2semidirect
6. #83175C2semidirect
7. #83006C2semidirect
8. #82707C2semidirect
9. #82657C2semidirect
10. #76768C2semidirect
11. #76759C2semidirect
12. #76758C2semidirect
13. #76758C2semidirect
14. #76755C2semidirect
15. #76730C2semidirect
16. #76689C2semidirect
17. #76676C2semidirect
18. #76656C2semidirect
19. #76616C2semidirect
20. #76437C2semidirect
21. #76329C2semidirect
22. #74895C2semidirect
23. #74880C2semidirect
24. D3×#386C2semidirect
25. #74734C2semidirect
26. #74726C2semidirect
27. #74722C2semidirect
28. #74679C2semidirect
29. #74659C2semidirect
30. #73578C2semidirect
31. #73470C2semidirect
33. C22×C3×#41C22semidirect
37. C2×C3×#124C22semidirect
38. C2×C3×#121C22semidirect
41. C2×#946C22semidirect
42. C2×#946C22semidirect
48. C2×#938C22semidirect
55. C2×#935C22semidirect
56. C2×#935C22semidirect
57. C2×#935C22semidirect
58. C2×D4×Dic3C22semidirect
61. C2×C4×#67C22semidirect
62. C2×C4×#67C22semidirect
63. C2×C4×#67C22semidirect
64. C2×#926C22semidirect
70. C2×#883C22semidirect
72. C2×#67⋊C4C22semidirect
73. C2×#67⋊C4C22semidirect
78. C2×#879C22semidirect
79. C2×#879C22semidirect
81. C2×#872C22semidirect
83. C3×#392C22semidirect
84. C3×#392C22semidirect
85. C3×#392C22semidirect
86. C3×#391C22semidirect
87. C3×#390C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
92. C3×C4×C22⋊C4C22semidirect
93. #5229C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
103. #5222C22semidirect
104. #5222C22semidirect
105. #5222C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
109. #5221C22semidirect
110. #5221C22semidirect
111. #5221C22semidirect
112. #5221C22semidirect
113. #5221C22semidirect
115. #5220C22semidirect
116. #5220C22semidirect
118. #5213C22semidirect
119. #5212C22semidirect
120. #5210C22semidirect
121. #5210C22semidirect
122. #4994C22semidirect
123. #4994C22semidirect
125. #4978C22semidirect
127. #4959C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
144. #4953C22semidirect
145. #4952C22semidirect
146. #4951C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
150. #4951C22semidirect
151. #4949C22semidirect
152. #4949C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
157. #4945C22semidirect
158. #4944C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. #4940C22semidirect
163. #4933C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4928C22semidirect
166. #4677C22semidirect
167. #4677C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
174. #4666C22semidirect
175. #4666C22semidirect
181. #4661C22semidirect
182. #4661C22semidirect
183. #4655C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
208. #2431D3semidirect
314. #946D4semidirect
429. C22×#41C2×D3semidirect
437. C2×#124C2×D3semidirect
455. C2×#121C2×D3semidirect
507. #392C2×D3semidirect
508. #392C2×D3semidirect
509. #392C2×D3semidirect
511. #391C2×D3semidirect
525. #390C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
564. #386C2×D3semidirect
583. C4×C22⋊C4C2×D3semidirect
611. C2×C3×Q8C2×D4semidirect
716. C2×D12#41semidirect
803. (C2×D3)⋊C4#41semidirect
812. C4⋊Dic3C2×D4semidirect
824. Dic3⋊C4C2×D4semidirect
825. Dic3⋊C4C2×D4semidirect
1245. C2×Q8D3×D4semidirect
1837. C3#59045semidirect

Maximal subgroups

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

subgroupindex
C2×#58282
C2×#56792
C3×#24312
#840972
#831762
#831752
#830062
#827072
#826572
#767682
#767592
#767582
#767552
#767302
#766892
#766762
#766562
#766162
#764372
#763292
#748952
#748802
D3×#3862
#747342
#747262
#747222
#746792
#746592
#735782
#734702
#590453