Finite Group Databasebeta

← #11633283

Subgroups — #11633283

Order 768.

2870 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#935C211yesmaximal, characteristic, complemented
2C2×#5556C211yesmaximal, characteristic, complemented
3C3×D4×C22⋊C4C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic
5#82414C211yesmaximal, characteristic, complemented
6#82354C211yesmaximal, characteristic, complemented
7#82339C211yesmaximal, characteristic, complemented
8#82110C211yesmaximal, characteristic, complemented
9#82107C211yesmaximal, characteristic, complemented
10#82099C211yesmaximal, characteristic, complemented
11C2×#4958C211yesmaximal, characteristic, complemented
12#76389C211yesmaximal, characteristic, complemented
13#76384C211yesmaximal, characteristic, complemented
14#76355C211yesmaximal, characteristic, complemented
15#76329C211yesmaximal, characteristic, complemented
16#74889C211yesmaximal, characteristic, complemented
17#74818C211yesmaximal, characteristic, complemented
18#74805C211yesmaximal, characteristic, complemented
19#74758C211yesmaximal, characteristic, complemented
20#74741C211yesmaximal, characteristic, complemented
21#74740C211yesmaximal, characteristic, complemented
22#74714C211yesmaximal, characteristic, complemented
23#74690C211yesmaximal, characteristic, complemented
24#73910C211yesmaximal, characteristic, complemented
25#73889C211yesmaximal, characteristic, complemented
26#73850C211yesmaximal, characteristic, complemented
27#73829C211yesmaximal, characteristic, complemented
28#73826C211yesmaximal, characteristic, complemented
29#73817C211yesmaximal, characteristic, complemented
30#73503C211yesmaximal, characteristic, complemented
31#73461C211yesmaximal, characteristic, complemented
32#59011—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C24×Dic3C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic, complemented
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic, complemented
44C22×#217C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#935—28no—
48C2×#935C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×#935C2211yescharacteristic
51C2×#935C2211yescharacteristic
52C2×#935C2211yescharacteristic, complemented
53C2×#935C2211yescharacteristic, complemented
54C2×#935C2211yescharacteristic, complemented
55C2×#935C2211yescharacteristic, complemented
56C2×#929C2211yescharacteristic, complemented
57C2×C4×#67C2211yescharacteristic, complemented
58C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
59C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
60C2×#924C2211yescharacteristic, complemented
61C22×Dic3⋊C4C2211yescharacteristic, complemented
62C22×Dic3⋊C4C2211yescharacteristic, complemented
63#5556—28no—
64C2×#898C2211yescharacteristic, complemented
65C2×#896C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#883C2211yescharacteristic, complemented
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic, complemented
73C2×#877C2211yescharacteristic, complemented
74C2×#876C2211yescharacteristic, complemented
75C2×#872C2211yescharacteristic, complemented
76C3×#390C2211yescharacteristic, complemented
77C3×#390C2211yescharacteristic, complemented
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic, complemented
82C3×#380C2211yescharacteristic, complemented
83C3×#379C2211yescharacteristic
84C3×#379C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic, complemented
86#5247C2211yescharacteristic
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5212C2211yescharacteristic, complemented
98#5211C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101#5210C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103C4×#217C2211yescharacteristic, complemented
104C2×C3⋊#95C2211yescharacteristic, complemented
105C2×C3⋊#95C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4994C2211yescharacteristic, complemented
108#4985C2211yescharacteristic, complemented
109#4983C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4959C2211yescharacteristic, complemented
115#4959C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic, complemented
125#4958C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic, complemented
137#4952C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4952C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4947C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4943C2211yescharacteristic, complemented
156#4943C2211yescharacteristic, complemented
157#4942C2211yescharacteristic, complemented
158#4942C2211yescharacteristic, complemented
159#4942C2211yescharacteristic, complemented
160#4942C2211yescharacteristic, complemented
161#4942C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic, complemented
164Dic3×C22⋊C4C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166Dic3×C22⋊C4C2211yescharacteristic, complemented
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168#4940C2211yescharacteristic, complemented
169#4940C2211yescharacteristic, complemented
170#4933C2211yescharacteristic, complemented
171#4933C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173C4×Dic3⋊C4C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4676C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4675C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4667C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#123—31no—
192#2706—31no—
193#2705—31no—
194#2696—31no—
195#2693—31no—
196#2557—31no—
197#2554—31no—
198#2534—31no—
199#2498—31no—
200#2488—31no—
201#2481—31no—
202#2481—31no—
203#2472—31no—
204#2471—31no—
205#2457—31no—
206#2437—31no—
207#2419—31no—
208#2418—31no—
209#2417—31no—
210#2412—31no—
211#2412—31no—
212#2411—31no—
213#2403—31no—
214#2359—31no—
215#2358—31no—
216#2352—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4D311yescharacteristic, complemented
219C2×#386—31no—
220#2280—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—24no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67—24no—
237C22×#67—24no—
238C22×#67—42no—
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3—24no—
248C23×Dic3—24no—
249C23×Dic3—42no—
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×C4×D4—24no—
263C3×C4×D4—42no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4—42no—
267C2×C3×C22⋊C4—42no—
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286#953—24no—
287#953—42no—
288C2×#217—24no—
289C2×#217—24no—
290C2×#217—24no—
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
312C2×#217C2311yescharacteristic
313#937—24no—
314#937—42no—
315#935—24no—
316#935—24no—
317#935—24no—
318#935—24no—
319#935—24no—
320#935—24no—
321#935—24no—
322#935D418yescomplemented
323#929—24no—
324C4×#67—24no—
325C2×(C2×D3)⋊C4—24no—
326C2×(C2×D3)⋊C4—42no—
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348#924—24no—
349C2×Dic3⋊C4—24no—
350C2×Dic3⋊C4—24no—
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377#898—24no—
378#896—24no—
379#885—24no—
380#883—24no—
381#67⋊C4—24no—
382#67⋊C4—42no—
383D3×C22⋊C4—24no—
384#878—42no—
385#877—24no—
386#877—42no—
387#876—24no—
388#872—24no—
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C23×D4—31no—
424C23×D4C2×D311yescharacteristic
425C24×C4—31no—
426#551—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—68no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4C2×D311yescharacteristic
452C2×C4×D4C2×D311yescharacteristic
453C2×#117—31no—
454C2×#117—31no—
455C2×#117—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4C2×D311yescharacteristic
465C22×C22⋊C4C2×D311yescharacteristic, complemented
466#400—31no—
467#400—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390C2×D311yescharacteristic, complemented
504#390C2×D311yescharacteristic, complemented
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic, complemented
545#386C2×D311yescharacteristic, complemented
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382—31no—
553#381—31no—
554#381—31no—
555#381—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380C2×D311yescharacteristic, complemented
566#379—31no—
567#379—31no—
568#379C2×D311yescharacteristic
569#379C2×D311yescharacteristic, complemented
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4C2×D311yescharacteristic, complemented
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3#4114yes—
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3C2411yescharacteristic
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—41no—
618C2×C3×D4—41no—
619C2×C3×D4—416no—
620C2×C3×D4C2×D414yes—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—416no—
670C2×#67#4114yes—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—416no—
698C22×Dic3C2×D414yes—
699C22×Dic3C2411yescharacteristic
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
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×Dic6—22no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—41no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C42—22no—
741C3×C42—41no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217C2×D414yes—
762#217C2×D414yescomplemented
763#217C2×D414yescomplemented
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782C4⋊Dic3—22no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4C2×D414yescomplemented
804Dic3⋊C4C2×D414yescomplemented
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25C22×D311yescharacteristic
813C25C22×D311yescharacteristic
814C22×Q8—31no—
815C22×D4—24no—
816C22×D4—24no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—42no—
826C22×D4—64no—
827C22×D4—64no—
828C22×D4—122no—
829C22×D4C22×D311yescharacteristic
830C22×D4C22×D311yescharacteristic
831C22×D4C22×D311yescharacteristic
832C22×D4C22×D311yescharacteristic
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—64no—
845C23×C4—64no—
846C23×C4—122no—
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852#126—64no—
853#126—64no—
854#124—64no—
855#123—38no—
856#123—64no—
857#123—64no—
858#123—64no—
859#123—64no—
860#123—64no—
861#123—64no—
862#123—64no—
863#123—64no—
864#123—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867C22⋊Q8—122no—
868#120—64no—
869#120—64no—
870#120—122no—
871#120—122no—
872C4×D4—24no—
873C4×D4—42no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—122no—
877#117—64no—
878#117—64no—
879#117—122no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—64no—
904C2×C4⋊C4—64no—
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—42no—
948C2×C22⋊C4—42no—
949C2×C22⋊C4—64no—
950C2×C22⋊C4—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4—64no—
953C2×C22⋊C4—64no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42C22×D311yescharacteristic
978C2×C42C22×D311yescharacteristic
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—28no—
1022C23×C3—28no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—44no—
1043C23×C3—44no—
1044C23×C3—44no—
1045C23×C3—44no—
1046C23×C3—44no—
1047C23×C3—44no—
1048C23×C3—44no—
1049C23×C3—44no—
1050C23×C3—44no—
1051C23×C3—82no—
1052C23×C3—82no—
1053C23×C3—82no—
1054C23×C3C22×D412yes—
1055C23×C3C22×D412yes—
1056C23×C3C2×#4112yes—
1057C23×C3C2×#4112yes—
1058C23×C3C2×#4112yes—
1059C23×C3C2×#4112yes—
1060C23×C3H(5,𝔽2)12yes—
1061C23×C3H(5,𝔽2)12yes—
1062C23×C3C2511yescharacteristic
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—44no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—82no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3C2×#4112yes—
1084C3×D4—28no—
1085C3×D4—44no—
1086C3×D4—44no—
1087C3×D4—44no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—44no—
1118C2×C3×C4—82no—
1119C2×C3×C4—82no—
1120C2×C3×C4—82no—
1121C2×C3×C4—82no—
1122C2×C3×C4C22×D412yes—
1123#67—28no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—44no—
1128#67—82no—
1129#67—82no—
1130#67—82no—
1131C2×Dic3—28no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—44no—
1170C2×Dic3—44no—
1171C2×Dic3—44no—
1172C2×Dic3—44no—
1173C2×Dic3—44no—
1174C2×Dic3—44no—
1175C2×Dic3—44no—
1176C2×Dic3—44no—
1177C2×Dic3C22×D412yes—
1178C2×Dic3C22×D412yes—
1179C2×Dic3C22×D412yes—
1180C2×Dic3C22×D412yes—
1181C2×Dic3C2×#4112yes—
1182C4×D3—44no—
1183C4×D3—82no—
1184Dic6—82no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—31no—
1194C24—31no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—62no—
1201C24—62no—
1202C24—62no—
1203C24—62no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24#23514yes—
1208C24C23×D311yescharacteristic
1209C24C23×D311yescharacteristic
1210C24C23×D311yescharacteristic
1211C24C23×D311yescharacteristic
1212C24C23×D311yescharacteristic
1213C2×Q8—62no—
1214C2×Q8—121no—
1215C2×Q8—121no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—34no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—416no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—1216no—
1253C2×D4D3×D414yes—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—34no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—1216no—
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—34no—
1329C4⋊C4—34no—
1330C4⋊C4—41no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—34no—
1360C22⋊C4—34no—
1361C22⋊C4—34no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C42—22no—
1409C42—41no—
1410C42—62no—
1411C42—62no—
1412C42—62no—
1413C42—121no—
1414C42—121no—
1415C42—121no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—22no—
1425C22×C3—22no—
1426C22×C3—22no—
1427C22×C3—22no—
1428C22×C3—22no—
1429C22×C3—22no—
1430C22×C3—22no—
1431C22×C3—22no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—416no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—88no—
1451C22×C3#54614yes—
1452C22×C3#55114yescomplemented
1453C22×C3C23×D411yescharacteristic
1454C22×C3C22×#4111yescharacteristic
1455C22×C3C22×#4111yescharacteristic
1456C22×C3C2×H(5,𝔽2)11yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3#58511yescharacteristic
1459C22×C3#58511yescharacteristic
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—88no—
1475C3×C4—22no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485Dic3—22no—
1486Dic3—22no—
1487Dic3—22no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—28no—
1520C23—28no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—32no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—82no—
1552C23—82no—
1553C23—82no—
1554C23—124no—
1555C23—124no—
1556C23—124no—
1557C23—124no—
1558C23—242no—
1559C23—242no—
1560C23—242no—
1561C23C2×#23512yes—
1562C23C2×#23512yes—
1563C23C2×#23512yes—
1564C23C2×D3×D412yes—
1565C23C2×D3×D412yes—
1566C23#100412yes—
1567C23#100412yes—
1568C23D3×#4112yes—
1569C23C24×D311yescharacteristic
1570Q8—242no—
1571D4—28no—
1572D4—44no—
1573D4—44no—
1574D4—44no—
1575D4—68no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—124no—
1580D4—242no—
1581D4—242no—
1582D4—242no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—32no—
1613C2×C4—32no—
1614C2×C4—32no—
1615C2×C4—32no—
1616C2×C4—32no—
1617C2×C4—44no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—68no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—82no—
1657C2×C4—82no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—124no—
1663C2×C4—124no—
1664C2×C4—124no—
1665C2×C4—124no—
1666C2×C4—124no—
1667C2×C4—124no—
1668C2×C4—124no—
1669C2×C4—242no—
1670C2×C4C2×D3×D412yes—
1671C2×C3—24no—
1672C2×C3—24no—
1673C2×C3—42no—
1674C2×C3—42no—
1675C2×C3—81no—
1676C2×C3C2×#54611yescharacteristic
1677C2×C3D4×#4111yescharacteristic
1678C2×C3C2×#55111yescharacteristic
1679C2×C3#348811yescharacteristic
1680C2×C3#349111yescharacteristic
1681C2×C3#351311yescharacteristic
1682C2×C3#353411yescharacteristic
1683D3—42no—
1684D3—81no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—416no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—88no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—248no—
1735C22#549014yes—
1736C22#555614yescomplemented
1737C22C22×#23511yescharacteristic
1738C22C22×D3×D411yescharacteristic
1739C22C2×#100411yescharacteristic
1740C22C2×#100411yescharacteristic
1741C22C2×D3×#4111yescharacteristic
1742C22#596611yescharacteristic
1743C22#596611yescharacteristic
1744C4—22no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—62no—
1755C4—62no—
1756C4—62no—
1757C4—62no—
1758C4—62no—
1759C4—121no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5901111yescharacteristic, complemented, Sylow
1769C2—24no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—122no—
1775C2—241no—
1776C2C2×#549011yescharacteristic
1777C2C2×#555611yescharacteristic
1778C2#8585911yescharacteristic
1779C2#8660711yescharacteristic
1780C2#8661311yescharacteristic
1781C2#8662611yescharacteristic
1782C2#8663511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C22⋊C4C2
prime radical#84052C2
hypercenterD4×C22⋊C4D3
hypocenterC3#59011
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#935C2semidirect
2. C2×#5556C2semidirect
3. C3×D4×C22⋊C4C2semidirect
5. #82414C2semidirect
6. #82354C2semidirect
7. #82339C2semidirect
8. #82110C2semidirect
9. #82107C2semidirect
10. #82099C2semidirect
11. C2×#4958C2semidirect
12. #76389C2semidirect
13. #76384C2semidirect
14. #76355C2semidirect
15. #76329C2semidirect
16. #74889C2semidirect
17. #74818C2semidirect
18. #74805C2semidirect
19. #74758C2semidirect
20. #74741C2semidirect
21. #74740C2semidirect
22. #74714C2semidirect
23. #74690C2semidirect
24. #73910C2semidirect
25. #73889C2semidirect
26. #73850C2semidirect
27. #73829C2semidirect
28. #73826C2semidirect
29. #73817C2semidirect
30. #73503C2semidirect
31. #73461C2semidirect
39. C22×C3×C22⋊C4C22semidirect
43. C22×#217C22semidirect
44. C22×#217C22semidirect
52. C2×#935C22semidirect
53. C2×#935C22semidirect
54. C2×#935C22semidirect
55. C2×#935C22semidirect
56. C2×#929C22semidirect
57. C2×C4×#67C22semidirect
58. C22×(C2×D3)⋊C4C22semidirect
59. C22×(C2×D3)⋊C4C22semidirect
60. C2×#924C22semidirect
61. C22×Dic3⋊C4C22semidirect
62. C22×Dic3⋊C4C22semidirect
64. C2×#898C22semidirect
65. C2×#896C22semidirect
66. C2×#885C22semidirect
67. C2×#883C22semidirect
70. C2×D3×C22⋊C4C22semidirect
71. C2×#878C22semidirect
72. C2×#877C22semidirect
73. C2×#877C22semidirect
74. C2×#876C22semidirect
75. C2×#872C22semidirect
76. C3×#390C22semidirect
77. C3×#390C22semidirect
80. C3×#386C22semidirect
81. C3×#386C22semidirect
82. C3×#380C22semidirect
84. C3×#379C22semidirect
85. C3×C4×C22⋊C4C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5212C22semidirect
98. #5211C22semidirect
99. #5210C22semidirect
100. #5210C22semidirect
101. #5210C22semidirect
102. #5210C22semidirect
103. C4×#217C22semidirect
104. C2×C3⋊#95C22semidirect
105. C2×C3⋊#95C22semidirect
106. #4994C22semidirect
107. #4994C22semidirect
108. #4985C22semidirect
109. #4983C22semidirect
110. #4978C22semidirect
111. #4976C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4959C22semidirect
115. #4959C22semidirect
116. #4959C22semidirect
117. #4959C22semidirect
124. #4958C22semidirect
125. #4958C22semidirect
126. #4958C22semidirect
127. #4958C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4955C22semidirect
137. #4952C22semidirect
138. #4952C22semidirect
139. #4952C22semidirect
140. #4952C22semidirect
141. #4951C22semidirect
142. #4951C22semidirect
143. #4950C22semidirect
144. #4949C22semidirect
145. #4949C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4947C22semidirect
149. #4947C22semidirect
150. #4946C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
153. #4944C22semidirect
154. #4944C22semidirect
155. #4943C22semidirect
156. #4943C22semidirect
157. #4942C22semidirect
158. #4942C22semidirect
159. #4942C22semidirect
160. #4942C22semidirect
161. #4942C22semidirect
162. #4942C22semidirect
163. Dic3×C22⋊C4C22semidirect
164. Dic3×C22⋊C4C22semidirect
165. Dic3×C22⋊C4C22semidirect
166. Dic3×C22⋊C4C22semidirect
167. Dic3×C22⋊C4C22semidirect
168. #4940C22semidirect
169. #4940C22semidirect
170. #4933C22semidirect
171. #4933C22semidirect
172. #4933C22semidirect
173. C4×Dic3⋊C4C22semidirect
174. #4676C22semidirect
175. #4676C22semidirect
176. #4675C22semidirect
177. #4675C22semidirect
178. #4669C22semidirect
179. #4669C22semidirect
180. #4667C22semidirect
181. #4667C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4658C22semidirect
185. #4657C22semidirect
186. #4654C22semidirect
187. #4652C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
218. D4×C22⋊C4D3semidirect
322. #935D4semidirect
465. C22×C22⋊C4C2×D3semidirect
503. #390C2×D3semidirect
504. #390C2×D3semidirect
544. #386C2×D3semidirect
545. #386C2×D3semidirect
565. #380C2×D3semidirect
569. #379C2×D3semidirect
577. C4×C22⋊C4C2×D3semidirect
762. #217C2×D4semidirect
763. #217C2×D4semidirect
803. Dic3⋊C4C2×D4semidirect
804. Dic3⋊C4C2×D4semidirect
1452. C22×C3#551semidirect
1736. C22#5556semidirect
1768. C3#59011semidirect

Maximal subgroups

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

subgroupindex
C22×#9352
C2×#55562
C3×D4×C22⋊C42
#840522
#824142
#823542
#823392
#821102
#821072
#820992
C2×#49582
#763892
#763842
#763552
#763292
#748892
#748182
#748052
#747582
#747412
#747402
#747142
#746902
#739102
#738892
#738502
#738292
#738262
#738172
#735032
#734612
#590113