Finite Group Databasebeta

← #11024603

Subgroups — #11024603

Order 768.

3064 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#547C211yesmaximal, characteristic, complemented
2C2×#5833C211yesmaximal, characteristic, complemented
3C2×#5832C211yesmaximal, characteristic, complemented
4C2×#5507C211yesmaximal, characteristic, complemented
5#84091C211yesmaximal, characteristic, complemented
6#84091C211yesmaximal, characteristic, complemented
7#83266C211yesmaximal, characteristic, complemented
8#83265C211yesmaximal, characteristic, complemented
9#82906C211yesmaximal, characteristic, complemented
10#82899C211yesmaximal, characteristic, complemented
11#82897C211yesmaximal, characteristic, complemented
12#82891C211yesmaximal, characteristic, complemented
13#82870C211yesmaximal, characteristic, complemented
14#82865C211yesmaximal, characteristic, complemented
15#82848C211yesmaximal, characteristic, complemented
16#82848C211yesmaximal, characteristic, complemented
17#82827C211yesmaximal, characteristic, complemented
18#82818C211yesmaximal, characteristic, complemented
19#82817C211yesmaximal, characteristic, complemented
20#82791C211yesmaximal, characteristic, complemented
21#82719C211yesmaximal, characteristic, complemented
22#82717C211yesmaximal, characteristic, complemented
23#82680C211yesmaximal, characteristic, complemented
24#82671C211yesmaximal, characteristic, complemented
25#82411C211yesmaximal, characteristic, complemented
26#82380C211yesmaximal, characteristic, complemented
27#82368C211yesmaximal, characteristic, complemented
28#82327C211yesmaximal, characteristic, complemented
29#82195C211yesmaximal, characteristic, complemented
30#82173C211yesmaximal, characteristic, complemented
31C2×#4980C211yesmaximal, characteristic, complemented
32#37679—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×C3×#41C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C3×#547—28no—
38C2×C3×C4⋊Q8C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic
43C2×C3×C22⋊Q8C2211yescharacteristic
44C2×C3×C22⋊Q8C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic
46C2×C3×#121C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic
48C2×C3×C4×D4C2211yescharacteristic
49C22×C3×C4⋊C4C2211yescharacteristic
50C22×C3×C4⋊C4C2211yescharacteristic
51#5833—28no—
52#5832—28no—
53C2×#947C2211yescharacteristic
54C2×#946C2211yescharacteristic
55C2×#946C2211yescharacteristic
56C2×#944C2211yescharacteristic
57C2×#940C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic
60C2×#939C2211yescharacteristic
61C2×#939C2211yescharacteristic
62C2×#939C2211yescharacteristic
63C2×#939C2211yescharacteristic
64C2×#939C2211yescharacteristic
65C2×#939C2211yescharacteristic
66C2×#939C2211yescharacteristic
67C2×#938C2211yescharacteristic
68C2×#938C2211yescharacteristic
69C2×#936C2211yescharacteristic
70C2×#930C2211yescharacteristic
71C2×#930C2211yescharacteristic
72C2×#930C2211yescharacteristic
73C2×#929C2211yescharacteristic
74C2×#929C2211yescharacteristic
75C2×C4×#67C2211yescharacteristic
76C2×C4×#67C2211yescharacteristic
77C2×C4×#67C2211yescharacteristic
78C2×C4×#67C2211yescharacteristic
79C2×C4×#67C2211yescharacteristic
80C22×C4⋊Dic3C2211yescharacteristic
81C2×#924C2211yescharacteristic
82C2×#924C2211yescharacteristic
83C22×C4×Dic3C2211yescharacteristic
84C2×#896C2211yescharacteristic
85C2×#896C2211yescharacteristic
86#5507—28no—
87C2×#895C2211yescharacteristic
88C2×#894C2211yescharacteristic
89C2×#894C2211yescharacteristic
90C2×#893C2211yescharacteristic
91C2×D3×C4⋊C4C2211yescharacteristic
92C2×#888C2211yescharacteristic
93#5231C2211yescharacteristic
94#5231C2211yescharacteristic
95#5230C2211yescharacteristic
96#5230C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5223C2211yescharacteristic
101#5223C2211yescharacteristic
102#5222C2211yescharacteristic
103#5222C2211yescharacteristic
104#5222C2211yescharacteristic
105#5220C2211yescharacteristic
106#5220C2211yescharacteristic
107#5220C2211yescharacteristic
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic
110#5213C2211yescharacteristic
111#5213C2211yescharacteristic
112#5213C2211yescharacteristic
113#5213C2211yescharacteristic
114#5213C2211yescharacteristic
115#5210C2211yescharacteristic
116#5210C2211yescharacteristic
117#5210C2211yescharacteristic
118#5210C2211yescharacteristic
119#5210C2211yescharacteristic
120C2×C3⋊#95C2211yescharacteristic
121C2×C3⋊#95C2211yescharacteristic
122C2×C3⋊#95C2211yescharacteristic
123C2×C3⋊#95C2211yescharacteristic
124#4994C2211yescharacteristic
125#4994C2211yescharacteristic
126#4993C2211yescharacteristic
127#4993C2211yescharacteristic
128#4992C2211yescharacteristic
129#4991C2211yescharacteristic
130#4991C2211yescharacteristic
131#4991C2211yescharacteristic
132#4990C2211yescharacteristic
133#4990C2211yescharacteristic
134#4989C2211yescharacteristic
135#4989C2211yescharacteristic
136#4989C2211yescharacteristic
137#4989C2211yescharacteristic
138#4989C2211yescharacteristic
139#4983C2211yescharacteristic
140#4982C2211yescharacteristic
141#4982C2211yescharacteristic
142#4981C2211yescharacteristic
143#4980C2211yescharacteristic
144#4980C2211yescharacteristic
145#4980C2211yescharacteristic
146#4980C2211yescharacteristic
147#4980C2211yescharacteristic
148#4980C2211yescharacteristic
149#4980C2211yescharacteristic
150#4980C2211yescharacteristic
151#4979C2211yescharacteristic
152#4979C2211yescharacteristic
153#4978C2211yescharacteristic
154#4976C2211yescharacteristic
155#4976C2211yescharacteristic
156#4961C2211yescharacteristic
157#4961C2211yescharacteristic
158#4960C2211yescharacteristic
159#4960C2211yescharacteristic
160#4960C2211yescharacteristic
161#4960C2211yescharacteristic
162#4960C2211yescharacteristic
163#4958C2211yescharacteristic
164#4958C2211yescharacteristic
165#4958C2211yescharacteristic
166#4957C2211yescharacteristic
167#4957C2211yescharacteristic
168#4956C2211yescharacteristic
169#4956C2211yescharacteristic
170#4956C2211yescharacteristic
171#4956C2211yescharacteristic
172#4956C2211yescharacteristic
173#4956C2211yescharacteristic
174#4956C2211yescharacteristic
175#4953C2211yescharacteristic
176#4949C2211yescharacteristic
177#4949C2211yescharacteristic
178#4948C2211yescharacteristic
179#4948C2211yescharacteristic
180#4947C2211yescharacteristic
181#4947C2211yescharacteristic
182#4945C2211yescharacteristic
183#4945C2211yescharacteristic
184#4944C2211yescharacteristic
185#4944C2211yescharacteristic
186#4944C2211yescharacteristic
187#4942C2211yescharacteristic
188#4940C2211yescharacteristic
189#4940C2211yescharacteristic
190#4940C2211yescharacteristic
191#4933C2211yescharacteristic
192C2×#547—31no—
193C2×#547D311yescharacteristic, complemented
194C2×#537—31no—
195C2×#532—31no—
196#2854—31no—
197#2677—31no—
198#2677—31no—
199#2676—31no—
200#2676—31no—
201#2674—31no—
202#2674—31no—
203#2673—31no—
204#2673—31no—
205#2656—31no—
206#2618—31no—
207#2543—31no—
208#2543—31no—
209#2463—31no—
210#2463—31no—
211#2456—31no—
212#2456—31no—
213#2449—31no—
214#2449—31no—
215#2443—31no—
216#2443—31no—
217#2430—31no—
218#2430—31no—
219#2430—31no—
220#2430—31no—
221#2325—31no—
222C2×#387—31no—
223C2×C3×#41—24no—
224C2×C3×#41—24no—
225C2×C3×#41—24no—
226C2×C3×#41—24no—
227C2×C3×#41—42no—
228C2×C3×#41—42no—
229C22×C3×Q8C2311yescharacteristic
230C22×C3×Q8C2311yescharacteristic
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
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C2×#235—24no—
262C2×#235—24no—
263C2×#235—24no—
264C2×#235—24no—
265C2×#235—42no—
266C2×#235—42no—
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×Dic6C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C3×C4⋊Q8—24no—
278C3×#123—24no—
279C3×#123—24no—
280C3×#123—24no—
281C3×#123—24no—
282C3×C22⋊Q8—24no—
283C3×C22⋊Q8—24no—
284C3×#121—24no—
285C3×#121—24no—
286C3×C4×D4—24no—
287C3×C4×D4—24no—
288C2×C3×C4⋊C4—24no—
289C2×C3×C4⋊C4D418yescomplemented
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C4⋊C4C2311yescharacteristic
296C2×C3×C4⋊C4C2311yescharacteristic
297C2×C3×C4⋊C4C2311yescharacteristic
298C2×C3×C4⋊C4C2311yescharacteristic
299C2×C3×C4⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C42C2311yescharacteristic
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
325#947—24no—
326#946—24no—
327#946—24no—
328#944—24no—
329#940—24no—
330#939—24no—
331#939—24no—
332#939—24no—
333#939—24no—
334#939—24no—
335#939—24no—
336#939—42no—
337#939—42no—
338#939D418yescomplemented
339#938—24no—
340#938—24no—
341#936—24no—
342#930—24no—
343#930—24no—
344#930—24no—
345#929—24no—
346#929—24no—
347C4×#67—24no—
348C4×#67—24no—
349C4×#67—24no—
350C4×#67—24no—
351C4×#67—24no—
352C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×C4⋊Dic3—24no—
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380#924—24no—
381#924—24no—
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×Dic3⋊C4C2311yescharacteristic
397C2×Dic3⋊C4C2311yescharacteristic
398C2×C4×Dic3—24no—
399C2×C4×Dic3C2311yescharacteristic
400C2×C4×Dic3C2311yescharacteristic
401C2×C4×Dic3C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403C2×C4×Dic3C2311yescharacteristic
404#896—24no—
405#896—24no—
406#895—24no—
407#894—24no—
408#894—24no—
409#893—24no—
410D3×C4⋊C4—24no—
411#888—24no—
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
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C22×#41—31no—
444C22×#41C2×D311yescharacteristic
445C22×#41C2×D311yescharacteristic
446#547—28no—
447#547—68no—
448#537—68no—
449#532—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8C2×D311yescharacteristic
453C2×#127—31no—
454C2×#124—31no—
455C2×#124—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123C2×D311yescharacteristic
461C2×#123C2×D311yescharacteristic
462C2×#123C2×D311yescharacteristic
463C2×#123C2×D311yescharacteristic
464C2×C22⋊Q8—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8C2×D311yescharacteristic
471C2×C22⋊Q8C2×D311yescharacteristic
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121C2×D311yescharacteristic
488C2×#121C2×D311yescharacteristic
489C2×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4C2×D311yescharacteristic
496C2×C4×D4C2×D311yescharacteristic
497C22×C4⋊C4—31no—
498C22×C4⋊C4—31no—
499C22×C4⋊C4C2×D311yescharacteristic
500C22×C4⋊C4C2×D311yescharacteristic
501C22×C42—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399—31no—
506#398—31no—
507#398—31no—
508#398—31no—
509#398—31no—
510#397—31no—
511#397—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#395—31no—
517#395—31no—
518#395—31no—
519#395—31no—
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#393—31no—
529#393—31no—
530#393—31no—
531#393—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#387—31no—
557#387—31no—
558#387—31no—
559#387—31no—
560#387—31no—
561#387—31no—
562#387—31no—
563#387—31no—
564#387—31no—
565#387—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386—31no—
584#386—31no—
585#386—31no—
586#385—31no—
587#385—31no—
588#385—31no—
589#385—31no—
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385—31no—
595#385—31no—
596#380—31no—
597C2×#95—31no—
598C2×#95—31no—
599C2×#95—31no—
600C2×#95—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C3×#41—416no—
609C3×#41—416no—
610C2×C3×Q8—22no—
611C2×C3×Q8—22no—
612C2×C3×Q8—22no—
613C2×C3×Q8—22no—
614C2×C3×Q8—41no—
615C2×C3×Q8—41no—
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—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4C2×D414yes—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4C2×D414yes—
656C22×C3×C4C2×D414yes—
657C22×C3×C4C2×D414yes—
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
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—22no—
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—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67C2×D414yes—
704C2×#67C2×D414yes—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—22no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3C2×D414yes—
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730#235—416no—
731#235—416no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—22no—
736C2×D12—22no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6—22no—
760C2×Dic6—41no—
761C2×Dic6—41no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4C2×D414yes—
769C3×C4⋊C4C2×D414yes—
770C3×C4⋊C4C2×D414yes—
771C3×C4⋊C4C2×D414yes—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C42—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
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—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4C2×D414yes—
819C4⋊Dic3—22no—
820C4⋊Dic3—22no—
821C4⋊Dic3—22no—
822C4⋊Dic3—22no—
823C4⋊Dic3—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4C2×D414yes—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—64no—
852C2×#41—64no—
853C2×#41—64no—
854C2×#41—64no—
855C2×#41—122no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8—31no—
859C22×Q8C22×D311yescharacteristic
860C22×Q8C22×D311yescharacteristic
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4C22×D311yescharacteristic
892C23×C4C22×D311yescharacteristic
893C23×C4C22×D311yescharacteristic
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896C23×C4C22×D311yescharacteristic
897C23×C4C22×D311yescharacteristic
898C23×C4C22×D311yescharacteristic
899C4⋊Q8—24no—
900C4⋊Q8—64no—
901C4⋊Q8—64no—
902#127—64no—
903#124—64no—
904#124—64no—
905#123—24no—
906#123—24no—
907#123—24no—
908#123—24no—
909#123—64no—
910#123—64no—
911#123—64no—
912#123—64no—
913C22⋊Q8—24no—
914C22⋊Q8—24no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917C22⋊Q8—64no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—64no—
921#121—24no—
922#121—24no—
923#121—38no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—122no—
937#121—122no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—64no—
969C2×C4⋊C4—64no—
970C2×C4⋊C4#6718yescomplemented
971C2×C4⋊C4C22×D311yescharacteristic
972C2×C4⋊C4C22×D311yescharacteristic
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C4⋊C4C22×D311yescharacteristic
976C2×C4⋊C4C22×D311yescharacteristic
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—64no—
1033C2×C42C22×D311yescharacteristic
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
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—21no—
1088C23×C3C22×D412yes—
1089C23×C3C22×D412yes—
1090C23×C3C22×D412yes—
1091C23×C3H(5,𝔽2)12yes—
1092C23×C3C2511yescharacteristic
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3C22×D412yes—
1114C3×Q8—44no—
1115C3×Q8—44no—
1116C3×D4—28no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—44no—
1121C3×D4—44no—
1122C2×C3×C4—28no—
1123C2×C3×C4—28no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—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×C4—44no—
1153C2×C3×C4—44no—
1154C2×C3×C4—44no—
1155C2×C3×C4—44no—
1156C2×C3×C4C22×D412yes—
1157C2×C3×C4C22×D412yes—
1158C2×C3×C4C22×D412yes—
1159C2×C3×C4C22×D412yes—
1160C2×C3×C4C22×D412yes—
1161C2×C3×C4C22×D412yes—
1162C2×C3×C4C22×D412yes—
1163#67—28no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—44no—
1169#67—44no—
1170#67—82no—
1171#67—82no—
1172#67—82no—
1173#67—82no—
1174#67—82no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—44no—
1211C2×Dic3—44no—
1212C2×Dic3—82no—
1213C2×Dic3—82no—
1214C2×Dic3C22×D412yes—
1215C2×Dic3C22×D412yes—
1216C2×Dic3C22×D412yes—
1217C2×Dic32−1+412yes—
1218D12—44no—
1219D12—44no—
1220D12—44no—
1221C4×D3—44no—
1222C4×D3—44no—
1223C4×D3—44no—
1224C4×D3—44no—
1225C4×D3—44no—
1226Dic6—44no—
1227Dic6—44no—
1228C24—31no—
1229C24—31no—
1230C24—31no—
1231C24C23×D311yescharacteristic
1232C24C23×D311yescharacteristic
1233C24C23×D311yescharacteristic
1234C24C23×D311yescharacteristic
1235#41—416no—
1236#41—416no—
1237#41—1216no—
1238#41—1216no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—62no—
1246C2×Q8—62no—
1247C2×Q8—62no—
1248C2×Q8—62no—
1249C2×Q8—121no—
1250C2×Q8—121no—
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—34no—
1265C2×D4—34no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
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—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4D3×D414yes—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—34no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4C2×#6714yes—
1376C22×C4C2×#6714yes—
1377C22×C4C2×#6714yes—
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—34no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—62no—
1404C4⋊C4—62no—
1405C4⋊C4—62no—
1406C4⋊C4—62no—
1407C4⋊C4—62no—
1408C4⋊C4—62no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—121no—
1413C4⋊C4—121no—
1414C4⋊C4—121no—
1415C4⋊C4—121no—
1416C4⋊C4C2×#6714yes—
1417C4⋊C4C2×#6714yes—
1418C4⋊C4C2×#6714yes—
1419C4⋊C4C2×#6714yes—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—34no—
1429C22⋊C4—34no—
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—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C42—22no—
1467C42—62no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—62no—
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—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×C3D4214yes—
1500C22×C3C23×D411yescharacteristic
1501C22×C3C23×D411yescharacteristic
1502C22×C3C2×H(5,𝔽2)11yescharacteristic
1503C22×C3C2×2−1+411yescharacteristic
1504C22×C3#58511yescharacteristic
1505C22×C3#58511yescharacteristic
1506C22×C3#58511yescharacteristic
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—22no—
1531C3×C4—22no—
1532C3×C4—22no—
1533C3×C4—22no—
1534C3×C4—22no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539Dic3—22no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—22no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547Dic3—41no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—32no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23C2×D3×D412yes—
1598C23C2×D3×D412yes—
1599C23#100412yes—
1600C23C22×#6712yes—
1601C23C24×D311yescharacteristic
1602Q8—44no—
1603Q8—44no—
1604Q8—124no—
1605Q8—124no—
1606D4—28no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—44no—
1611D4—44no—
1612D4—68no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—28no—
1642C2×C4—28no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—32no—
1656C2×C4—32no—
1657C2×C4—32no—
1658C2×C4—32no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—242no—
1708C2×C4—242no—
1709C2×C4C2×D3×D412yes—
1710C2×C4C22×#6712yes—
1711C2×C4C22×#6712yes—
1712C2×C4C22×#6712yes—
1713C2×C4C22×#6712yes—
1714C2×C4C22×#6712yes—
1715C2×C4C22×#6712yes—
1716C2×C3—24no—
1717C2×C3—42no—
1718C2×C3—81no—
1719C2×C3—81no—
1720C2×C3#344911yescharacteristic
1721C2×C3C2×D4211yescharacteristic
1722C2×C3#348511yescharacteristic
1723C2×C3#348911yescharacteristic
1724C2×C3#349711yescharacteristic
1725C2×C3#355911yescharacteristic
1726C2×C3#356011yescharacteristic
1727D3—42no—
1728D3—81no—
1729D3—81no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22D4×#6714yes—
1779C22C22×D3×D411yescharacteristic
1780C22C2×#100411yescharacteristic
1781C22#596411yescharacteristic
1782C22#596411yescharacteristic
1783C22D3×2−1+411yescharacteristic
1784C22#596811yescharacteristic
1785C22C23×#6711yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—62no—
1798C4—62no—
1799C4—62no—
1800C4—62no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C3#3767911yescharacteristic, complemented, Sylow
1811C2—24no—
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—122no—
1816C2—241no—
1817C2—241no—
1818C2#8667711yescharacteristic
1819C2#8669511yescharacteristic
1820C2#8669711yescharacteristic
1821C2#8670011yescharacteristic
1822C2C2×D4×#6711yescharacteristic
1823C2#8726811yescharacteristic
1824C2#8729111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#547C2
hypercenterC2×#547D3
hypocenterC3#37679
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. C2×C3×#547C2semidirect
2. C2×#5833C2semidirect
3. C2×#5832C2semidirect
4. C2×#5507C2semidirect
5. #84091C2semidirect
6. #84091C2semidirect
7. #83266C2semidirect
8. #83265C2semidirect
9. #82906C2semidirect
10. #82899C2semidirect
11. #82897C2semidirect
12. #82891C2semidirect
13. #82870C2semidirect
14. #82865C2semidirect
15. #82848C2semidirect
16. #82848C2semidirect
17. #82827C2semidirect
18. #82818C2semidirect
19. #82817C2semidirect
20. #82791C2semidirect
21. #82719C2semidirect
22. #82717C2semidirect
23. #82680C2semidirect
24. #82671C2semidirect
25. #82411C2semidirect
26. #82380C2semidirect
27. #82368C2semidirect
28. #82327C2semidirect
29. #82195C2semidirect
30. #82173C2semidirect
31. C2×#4980C2semidirect
193. C2×#547D3semidirect
289. C2×C3×C4⋊C4D4semidirect
338. #939D4semidirect
970. C2×C4⋊C4#67semidirect
1810. C3#37679semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5472
C2×#58332
C2×#58322
C2×#55072
#840912
#832662
#832652
#829062
#828992
#828972
#828912
#828702
#828652
#828482
#828272
#828182
#828172
#827912
#827192
#827172
#826802
#826712
#824112
#823802
#823682
#823272
#821952
#821732
C2×#49802
#376793