Finite Group Databasebeta

← #11634033

Subgroups — #11634033

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×#5587C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2433C211yesmaximal, characteristic, complemented
4#84048C211yesmaximal, characteristic, complemented
5C2×#5220C211yesmaximal, characteristic, complemented
6#83187C211yesmaximal, characteristic, complemented
7#83182C211yesmaximal, characteristic, complemented
8#83176C211yesmaximal, characteristic, complemented
9#83173C211yesmaximal, characteristic, complemented
10#82670C211yesmaximal, characteristic, complemented
11#82645C211yesmaximal, characteristic, complemented
12#82591C211yesmaximal, characteristic, complemented
13#82591C211yesmaximal, characteristic, complemented
14#82586C211yesmaximal, characteristic, complemented
15#82583C211yesmaximal, characteristic, complemented
16#82579C211yesmaximal, characteristic, complemented
17Dic3×#120C211yesmaximal, characteristic, complemented
18#76731C211yesmaximal, characteristic, complemented
19#76728C211yesmaximal, characteristic, complemented
20#76685C211yesmaximal, characteristic, complemented
21#76685C211yesmaximal, characteristic, complemented
22#76684C211yesmaximal, characteristic, complemented
23#76676C211yesmaximal, characteristic, complemented
24#76675C211yesmaximal, characteristic, complemented
25#76668C211yesmaximal, characteristic, complemented
26#76401C211yesmaximal, characteristic, complemented
27#76354C211yesmaximal, characteristic, complemented
28#76332C211yesmaximal, characteristic, complemented
29#76305C211yesmaximal, characteristic, complemented
30#73474C211yesmaximal, characteristic, complemented
31#73464C211yesmaximal, characteristic, complemented
32#59045—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×Dic3C2211yescharacteristic
35C22×#237C2211yescharacteristic, complemented
36C2×C3×#127C2211yescharacteristic
37C2×C3×#127C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic
42C2×C3×#120C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C22×#217C2211yescharacteristic
46C22×#217C2211yescharacteristic
47C22×#217C2211yescharacteristic
48C22×#217C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic, complemented
55C2×#936C2211yescharacteristic, complemented
56C2×#935C2211yescharacteristic
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic, complemented
59C2×#935C2211yescharacteristic, complemented
60C2×#935C2211yescharacteristic, complemented
61C2×D4×Dic3C2211yescharacteristic
62C2×D4×Dic3C2211yescharacteristic
63C2×D4×Dic3C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic, complemented
65C2×D4×Dic3C2211yescharacteristic, complemented
66C2×D4×Dic3C2211yescharacteristic, complemented
67C2×D4×Dic3C2211yescharacteristic, complemented
68#5587—28no—
69#5586—28no—
70C2×#886C2211yescharacteristic
71C2×#886C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×#879C2211yescharacteristic, complemented
75C2×#879C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic
77C2×#878C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#877C2211yescharacteristic
80C2×#877C2211yescharacteristic, complemented
81C2×#877C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#390C2211yescharacteristic
87C3×#390C2211yescharacteristic
88C3×C4×C22⋊C4C2211yescharacteristic
89#5247C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5222C2211yescharacteristic
99#5222C2211yescharacteristic
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5222C2211yescharacteristic, complemented
104#5221C2211yescharacteristic, complemented
105#5221C2211yescharacteristic, complemented
106#5221C2211yescharacteristic, complemented
107#5221C2211yescharacteristic, complemented
108#5221C2211yescharacteristic, complemented
109#5221C2211yescharacteristic, complemented
110#5221C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5220C2211yescharacteristic
113#5220C2211yescharacteristic
114#5220C2211yescharacteristic
115#5220C2211yescharacteristic
116#5220C2211yescharacteristic
117#5220C2211yescharacteristic
118#5220C2211yescharacteristic
119#5220C2211yescharacteristic
120#5220C2211yescharacteristic
121#5220C2211yescharacteristic
122#5220C2211yescharacteristic
123#5220C2211yescharacteristic
124#5220C2211yescharacteristic, complemented
125#5220C2211yescharacteristic, complemented
126#5220C2211yescharacteristic, complemented
127#5220C2211yescharacteristic, complemented
128#5220C2211yescharacteristic, complemented
129#5220C2211yescharacteristic, complemented
130#5213C2211yescharacteristic
131#5210C2211yescharacteristic
132C2×C3⋊#95C2211yescharacteristic
133C2×C3⋊#95C2211yescharacteristic
134#4990C2211yescharacteristic, complemented
135#4982C2211yescharacteristic, complemented
136#4982C2211yescharacteristic, complemented
137#4976C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4961C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4952C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4950C2211yescharacteristic
151#4950C2211yescharacteristic
152#4950C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4950C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4949C2211yescharacteristic, complemented
157#4949C2211yescharacteristic, complemented
158#4949C2211yescharacteristic, complemented
159#4948C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4942C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic
170Dic3×C22⋊C4C2211yescharacteristic
171Dic3×C22⋊C4C2211yescharacteristic, complemented
172Dic3×C22⋊C4C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4940C2211yescharacteristic, complemented
175C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
176C4×C4⋊Dic3C2211yescharacteristic, complemented
177C4×C4⋊Dic3C2211yescharacteristic, complemented
178#4933C2211yescharacteristic, complemented
179C4×Dic3⋊C4C2211yescharacteristic, complemented
180#4929C2211yescharacteristic, complemented
181#4928C2211yescharacteristic, complemented
182#4670C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, 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#2433D311yescharacteristic, complemented
208#2431—31no—
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—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C22×C3×D4—24no—
224C22×C3×D4—42no—
225C22×C3×D4—42no—
226C22×C3×D4C2311yescharacteristic
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
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C23×Dic3—24no—
250C23×Dic3—42no—
251C23×Dic3—42no—
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C2×#237—24no—
265C2×#237—42no—
266C2×#237—42no—
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C3×#127—24no—
270C3×#127—42no—
271C3×#121—42no—
272C3×#120—24no—
273C3×#120—24no—
274C3×#120—24no—
275C3×#120—24no—
276C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291#953—24no—
292#953—42no—
293C2×#217—24no—
294C2×#217—24no—
295C2×#217—42no—
296C2×#217—42no—
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
333C2×#217C2311yescharacteristic
334#939—24no—
335#939—24no—
336#939—24no—
337#939—42no—
338#939—42no—
339#938—42no—
340#936—24no—
341#935—24no—
342#935—24no—
343#935—24no—
344#935—24no—
345#935—42no—
346D4×Dic3—24no—
347D4×Dic3—24no—
348D4×Dic3—24no—
349D4×Dic3—24no—
350D4×Dic3—42no—
351D4×Dic3—42no—
352D4×Dic3—42no—
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
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—24no—
392#886—24no—
393#67⋊C4—24no—
394#67⋊C4—24no—
395#879—24no—
396#879—24no—
397#878—24no—
398#878—24no—
399#878D418yescomplemented
400#877—24no—
401#877—24no—
402#877—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×#41—31no—
430C23×D4C2×D311yescharacteristic
431C24×C4—31no—
432#551—68no—
433C2×#127C2×D311yescharacteristic
434C2×#127C2×D311yescharacteristic
435C2×#126—31no—
436C2×#126—31no—
437C2×#124—31no—
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
456C2×#120—31no—
457C2×#120—31no—
458C2×#120C2×D311yescharacteristic
459C2×#120C2×D311yescharacteristic
460C2×#120C2×D311yescharacteristic
461C2×#120C2×D311yescharacteristic
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
508#392C2×D311yescharacteristic
509#392C2×D311yescharacteristic
510#391—31no—
511#391—31no—
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#390C2×D311yescharacteristic
525#390C2×D311yescharacteristic
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#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
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
584C2×#95—31no—
585C2×#95—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—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—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—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
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—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—416no—
653C2×C3×D4#4114yescomplemented
654C22×C3×C4—22no—
655C22×C3×C4—22no—
656C22×C3×C4—41no—
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
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—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—
685C2×#67—41no—
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—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—22no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
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×Dic3—41no—
721C22×Dic3—416no—
722C22×Dic3C2×D414yes—
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738#237—416no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—41no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C2×Dic6C2×D414yescomplemented
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⋊C4C2×D414yes—
757C3×C22⋊C4#4114yescomplemented
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—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
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#217C2×D414yes—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804C4⋊Dic3—22no—
805C4⋊Dic3—22no—
806C4⋊Dic3—22no—
807C4⋊Dic3—22no—
808C4⋊Dic3—22no—
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—41no—
821Dic3⋊C4—41no—
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—
835C25C22×D311yescharacteristic
836C25C22×D311yescharacteristic
837C2×#41—64no—
838C2×#41—122no—
839C2×#41—122no—
840C22×Q8—31no—
841C22×D4—24no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—42no—
850C22×D4—42no—
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
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—31no—
878C23×C4—31no—
879C23×C4—64no—
880C23×C4—122no—
881C23×C4—122no—
882C23×C4C22×D311yescharacteristic
883#127—24no—
884#127—42no—
885#126—64no—
886#126—64no—
887#124—64no—
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—24no—
906#120—24no—
907#120—24no—
908#120—24no—
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#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—28no—
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×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—82no—
1098C23×C3—82no—
1099C23×C3—82no—
1100C23×C3C22×D412yes—
1101C23×C3C2×#4112yes—
1102C23×C3C2×#4112yes—
1103C23×C3C2×#4112yes—
1104C23×C3H(5,𝔽2)12yes—
1105C23×C3H(5,𝔽2)12yes—
1106C23×C3C2511yescharacteristic
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—44no—
1121C3×D4—44no—
1122C3×D4—44no—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—44no—
1126C3×D4—82no—
1127C3×D4—82no—
1128C3×D4—82no—
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—44no—
1149C2×C3×C4C22×D412yes—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C2×#4112yes—
1152C2×C3×C4C2×#4112yes—
1153C2×C3×C4C2×#4112yes—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—82no—
1159#67—82no—
1160#67—82no—
1161C2×Dic3—28no—
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—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—44no—
1205C2×Dic3—44no—
1206C2×Dic3—44no—
1207C2×Dic3—44no—
1208C2×Dic3—44no—
1209C2×Dic3—44no—
1210C2×Dic3—82no—
1211C2×Dic3—82no—
1212C2×Dic3—82no—
1213C2×Dic3C22×D412yes—
1214C2×Dic3C22×D412yes—
1215C2×Dic3C22×D412yes—
1216C2×Dic3C22×D412yes—
1217C2×Dic3H(5,𝔽2)12yes—
1218C4×D3—44no—
1219Dic6—44no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—31no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24C23×D311yescharacteristic
1236C24C23×D311yescharacteristic
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242#41—1216no—
1243C2×Q8—34no—
1244C2×Q8—121no—
1245C2×Q8—121no—
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—22no—
1259C2×D4—22no—
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—41no—
1273C2×D4—41no—
1274C2×D4—41no—
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—416no—
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#23714yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—34no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—41no—
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—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—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—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—1216no—
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—41no—
1412C22⋊C4—41no—
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—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—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—
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⋊C4D3×D414yes—
1457C22⋊C4#23714yescomplemented
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—22no—
1473C22×C3—22no—
1474C22×C3—22no—
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—416no—
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—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—88no—
1519C22×C3#55014yes—
1520C22×C3C23×D411yescharacteristic
1521C22×C3C22×#4111yescharacteristic
1522C22×C3C22×#4111yescharacteristic
1523C22×C3C2×H(5,𝔽2)11yescharacteristic
1524C22×C3C2×H(5,𝔽2)11yescharacteristic
1525C22×C3C2×H(5,𝔽2)11yescharacteristic
1526C22×C3#58511yescharacteristic
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C3×C4—22no—
1535C3×C4—22no—
1536C3×C4—22no—
1537C3×C4—22no—
1538C3×C4—22no—
1539C3×C4—41no—
1540C3×C4—41no—
1541C3×C4—41no—
1542Dic3—22no—
1543Dic3—22no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—22no—
1547Dic3—41no—
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—28no—
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—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23C2×D3×D412yes—
1622C23C2×#23712yes—
1623C23C2×#23712yes—
1624C23C2×#23712yes—
1625C23#100412yes—
1626C23#100412yes—
1627C23C24×D311yescharacteristic
1628Q8—124no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—44no—
1634D4—44no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—44no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—124no—
1645D4—124no—
1646D4—124no—
1647D4—124no—
1648D4—242no—
1649D4—242no—
1650D4—242no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—32no—
1671C2×C4—32no—
1672C2×C4—32no—
1673C2×C4—32no—
1674C2×C4—32no—
1675C2×C4—44no—
1676C2×C4—68no—
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—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—124no—
1726C2×C4—242no—
1727C2×C4—242no—
1728C2×C4—242no—
1729C2×C4C2×D3×D412yes—
1730C2×C4C2×D3×D412yes—
1731C2×C4C2×#23712yes—
1732C2×C4C2×#23712yes—
1733C2×C4C2×#23712yes—
1734C2×C3—24no—
1735C2×C3—42no—
1736C2×C3—42no—
1737C2×C3—42no—
1738C2×C3—81no—
1739C2×C3—81no—
1740C2×C3—81no—
1741C2×C3C2×#55011yescharacteristic
1742C2×C3D4×#4111yescharacteristic
1743C2×C3#348111yescharacteristic
1744C2×C3#348411yescharacteristic
1745C2×C3#349011yescharacteristic
1746C2×C3#351311yescharacteristic
1747C2×C3#354211yescharacteristic
1748D3—81no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—416no—
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—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—88no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22#571814yes—
1807C22C22×D3×D411yescharacteristic
1808C22C22×#23711yescharacteristic
1809C22C22×#23711yescharacteristic
1810C22C2×#100411yescharacteristic
1811C22C2×#100411yescharacteristic
1812C22D3×H(5,𝔽2)11yescharacteristic
1813C22#596611yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—62no—
1823C4—62no—
1824C4—62no—
1825C4—62no—
1826C4—62no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C4—121no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C3#5904511yescharacteristic, complemented, Sylow
1838C2—24no—
1839C2—42no—
1840C2—42no—
1841C2—42no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—241no—
1846C2#8591311yescharacteristic
1847C2C2×#571811yescharacteristic
1848C2#8632311yescharacteristic
1849C2D4×#23711yescharacteristic
1850C2#8660611yescharacteristic
1851C2#8660911yescharacteristic
1852C2#8662011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2433C2
hypercenter#2433D3
hypocenterC3#59045
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. C2×#5587C2semidirect
2. C2×#5586C2semidirect
3. C3×#2433C2semidirect
4. #84048C2semidirect
5. C2×#5220C2semidirect
6. #83187C2semidirect
7. #83182C2semidirect
8. #83176C2semidirect
9. #83173C2semidirect
10. #82670C2semidirect
11. #82645C2semidirect
12. #82591C2semidirect
13. #82591C2semidirect
14. #82586C2semidirect
15. #82583C2semidirect
16. #82579C2semidirect
17. Dic3×#120C2semidirect
18. #76731C2semidirect
19. #76728C2semidirect
20. #76685C2semidirect
21. #76685C2semidirect
22. #76684C2semidirect
23. #76676C2semidirect
24. #76675C2semidirect
25. #76668C2semidirect
26. #76401C2semidirect
27. #76354C2semidirect
28. #76332C2semidirect
29. #76305C2semidirect
30. #73474C2semidirect
31. #73464C2semidirect
35. C22×#237C22semidirect
53. C2×#939C22semidirect
54. C2×#938C22semidirect
55. C2×#936C22semidirect
58. C2×#935C22semidirect
59. C2×#935C22semidirect
60. C2×#935C22semidirect
63. C2×D4×Dic3C22semidirect
64. C2×D4×Dic3C22semidirect
65. C2×D4×Dic3C22semidirect
66. C2×D4×Dic3C22semidirect
67. C2×D4×Dic3C22semidirect
71. C2×#886C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×#879C22semidirect
75. C2×#879C22semidirect
77. C2×#878C22semidirect
78. C2×#878C22semidirect
80. C2×#877C22semidirect
81. C2×#877C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5222C22semidirect
104. #5221C22semidirect
105. #5221C22semidirect
106. #5221C22semidirect
107. #5221C22semidirect
108. #5221C22semidirect
109. #5221C22semidirect
110. #5221C22semidirect
111. #5221C22semidirect
124. #5220C22semidirect
125. #5220C22semidirect
126. #5220C22semidirect
127. #5220C22semidirect
128. #5220C22semidirect
129. #5220C22semidirect
134. #4990C22semidirect
135. #4982C22semidirect
136. #4982C22semidirect
137. #4976C22semidirect
138. #4961C22semidirect
139. #4961C22semidirect
140. #4958C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4956C22semidirect
146. #4952C22semidirect
147. #4952C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
152. #4950C22semidirect
153. #4950C22semidirect
154. #4950C22semidirect
155. #4949C22semidirect
156. #4949C22semidirect
157. #4949C22semidirect
158. #4949C22semidirect
159. #4948C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4945C22semidirect
164. #4945C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4942C22semidirect
171. Dic3×C22⋊C4C22semidirect
172. Dic3×C22⋊C4C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4940C22semidirect
175. C4×(C2×D3)⋊C4C22semidirect
176. C4×C4⋊Dic3C22semidirect
177. C4×C4⋊Dic3C22semidirect
178. #4933C22semidirect
179. C4×Dic3⋊C4C22semidirect
180. #4929C22semidirect
181. #4928C22semidirect
182. #4670C22semidirect
183. #4668C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4654C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4646C22semidirect
207. #2433D3semidirect
399. #878D4semidirect
653. C2×C3×D4#41semidirect
744. C2×Dic6C2×D4semidirect
757. C3×C22⋊C4#41semidirect
812. C4⋊Dic3C2×D4semidirect
824. Dic3⋊C4C2×D4semidirect
825. Dic3⋊C4C2×D4semidirect
1312. C2×D4#237semidirect
1457. C22⋊C4#237semidirect
1837. C3#59045semidirect

Maximal subgroups

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

subgroupindex
C2×#55872
C2×#55862
C3×#24332
#840482
C2×#52202
#831872
#831822
#831762
#831732
#826702
#826452
#825912
#825862
#825832
#825792
Dic3×#1202
#767312
#767282
#766852
#766842
#766762
#766752
#766682
#764012
#763542
#763322
#763052
#734742
#734642
#590453