Finite Group Databasebeta

← #11025265

Subgroups — #11025265

Order 768.

2868 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#123C211yesmaximal, characteristic, complemented
2C2×#5657C211yesmaximal, characteristic, complemented
3#84053C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5#84032C211yesmaximal, characteristic, complemented
6C4×#953C211yesmaximal, characteristic, complemented
7#82910C211yesmaximal, characteristic, complemented
8#82909C211yesmaximal, characteristic, complemented
9#82908C211yesmaximal, characteristic, complemented
10#82907C211yesmaximal, characteristic, complemented
11#82904C211yesmaximal, characteristic, complemented
12#82899C211yesmaximal, characteristic, complemented
13#82896C211yesmaximal, characteristic, complemented
14#82885C211yesmaximal, characteristic, complemented
15#82878C211yesmaximal, characteristic, complemented
16#82877C211yesmaximal, characteristic, complemented
17#82873C211yesmaximal, characteristic, complemented
18#82867C211yesmaximal, characteristic, complemented
19#82862C211yesmaximal, characteristic, complemented
20#82861C211yesmaximal, characteristic, complemented
21#82837C211yesmaximal, characteristic, complemented
22#82195C211yesmaximal, characteristic, complemented
23#82194C211yesmaximal, characteristic, complemented
24#82175C211yesmaximal, characteristic, complemented
25#82163C211yesmaximal, characteristic, complemented
26#82127C211yesmaximal, characteristic, complemented
27C22⋊C4×#67C211yesmaximal, characteristic, complemented
28#82112C211yesmaximal, characteristic, complemented
29#82111C211yesmaximal, characteristic, complemented
30#82111C211yesmaximal, characteristic, complemented
31#82109C211yesmaximal, characteristic, complemented
32#37713—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic, complemented
35C23×#67C2211yescharacteristic
36C2×C3×#123—28no—
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×#123C2211yescharacteristic, complemented
43C2×C3×#123C2211yescharacteristic, complemented
44C2×C3×#123C2211yescharacteristic, complemented
45C22×C3×C4⋊C4C2211yescharacteristic, complemented
46C22×C3×C4⋊C4C2211yescharacteristic, complemented
47C22×C3×C22⋊C4C2211yescharacteristic
48C22×C3×C22⋊C4C2211yescharacteristic
49C22×C3×C22⋊C4C2211yescharacteristic, complemented
50C2×#953C2211yescharacteristic
51C2×#953C2211yescharacteristic
52C2×#953C2211yescharacteristic
53C2×#953C2211yescharacteristic, complemented
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic, complemented
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×#930C2211yescharacteristic
59C2×#930C2211yescharacteristic
60C2×#930C2211yescharacteristic, complemented
61C2×#930C2211yescharacteristic, complemented
62C2×C4×#67C2211yescharacteristic
63C2×C4×#67C2211yescharacteristic
64C2×C4×#67C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic, complemented
67C2×#924C2211yescharacteristic, complemented
68#5657—28no—
69C2×#898C2211yescharacteristic, complemented
70C2×#897C2211yescharacteristic, complemented
71C2×#894C2211yescharacteristic, complemented
72C2×#893C2211yescharacteristic, complemented
73C2×#885C2211yescharacteristic, complemented
74C2×#885C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×#879C2211yescharacteristic, complemented
79#5247C2211yescharacteristic
80#5247C2211yescharacteristic
81#5247C2211yescharacteristic, complemented
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5221C2211yescharacteristic
91#5221C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5212C2211yescharacteristic, complemented
109#5212C2211yescharacteristic, complemented
110#5212C2211yescharacteristic, complemented
111#5212C2211yescharacteristic, complemented
112#5210C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#5210C2211yescharacteristic, complemented
115#5210C2211yescharacteristic, complemented
116C4×#217C2211yescharacteristic, complemented
117C4×#217C2211yescharacteristic, complemented
118C4×#217C2211yescharacteristic, complemented
119C4×#217C2211yescharacteristic, complemented
120#4994C2211yescharacteristic, complemented
121#4994C2211yescharacteristic, complemented
122#4994C2211yescharacteristic, complemented
123#4993C2211yescharacteristic, complemented
124#4992C2211yescharacteristic, complemented
125#4992C2211yescharacteristic, complemented
126#4991C2211yescharacteristic, complemented
127#4990C2211yescharacteristic, complemented
128#4990C2211yescharacteristic, complemented
129#4990C2211yescharacteristic, complemented
130#4990C2211yescharacteristic, complemented
131#4989C2211yescharacteristic, complemented
132#4989C2211yescharacteristic, complemented
133#4989C2211yescharacteristic, complemented
134#4988C2211yescharacteristic, complemented
135#4987C2211yescharacteristic, complemented
136#4986C2211yescharacteristic, complemented
137#4985C2211yescharacteristic, complemented
138#4984C2211yescharacteristic, complemented
139#4982C2211yescharacteristic, complemented
140#4981C2211yescharacteristic, complemented
141#4981C2211yescharacteristic, complemented
142#4980C2211yescharacteristic, complemented
143#4980C2211yescharacteristic, complemented
144#4978C2211yescharacteristic, complemented
145Dic3×C4⋊C4C2211yescharacteristic, complemented
146#4973C2211yescharacteristic, complemented
147#4972C2211yescharacteristic, complemented
148#4961C2211yescharacteristic, complemented
149#4961C2211yescharacteristic, complemented
150#4961C2211yescharacteristic, complemented
151#4961C2211yescharacteristic, complemented
152#4960C2211yescharacteristic, complemented
153#4960C2211yescharacteristic, complemented
154#4960C2211yescharacteristic, complemented
155#4959C2211yescharacteristic, complemented
156#4959C2211yescharacteristic, complemented
157#4959C2211yescharacteristic, complemented
158#4959C2211yescharacteristic, complemented
159#4958C2211yescharacteristic, complemented
160#4957C2211yescharacteristic, complemented
161#4957C2211yescharacteristic, complemented
162#4957C2211yescharacteristic, complemented
163#4957C2211yescharacteristic, complemented
164#4957C2211yescharacteristic, complemented
165#4956C2211yescharacteristic, complemented
166#4956C2211yescharacteristic, complemented
167#4956C2211yescharacteristic, complemented
168#4955C2211yescharacteristic, complemented
169#4955C2211yescharacteristic, complemented
170#4953C2211yescharacteristic, complemented
171#4952C2211yescharacteristic, complemented
172#4952C2211yescharacteristic, complemented
173#4952C2211yescharacteristic, complemented
174#4952C2211yescharacteristic, complemented
175#4951C2211yescharacteristic, complemented
176#4951C2211yescharacteristic, complemented
177#4951C2211yescharacteristic, complemented
178#4951C2211yescharacteristic, complemented
179#4950C2211yescharacteristic, complemented
180#4948C2211yescharacteristic, complemented
181#4948C2211yescharacteristic, complemented
182#4947C2211yescharacteristic, complemented
183#4947C2211yescharacteristic, complemented
184#4945C2211yescharacteristic, complemented
185#4944C2211yescharacteristic, complemented
186#4944C2211yescharacteristic, complemented
187#4944C2211yescharacteristic, complemented
188#4942C2211yescharacteristic, complemented
189Dic3×C22⋊C4C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#123D311yescharacteristic, complemented
192#2847—31no—
193#2710—31no—
194#2708—31no—
195#2703—31no—
196#2697—31no—
197#2696—31no—
198#2695—31no—
199#2682—31no—
200#2678—31no—
201#2661—31no—
202#2630—31no—
203#2557—31no—
204#2554—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2472—31no—
209#2456—31no—
210#2443—31no—
211#2424—31no—
212#2418—31no—
213#2417—31no—
214#2410—31no—
215#2408—31no—
216#2403—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4—24no—
232C23×C3×C4—42no—
233C23×C3×C4—42no—
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C22×#67—24no—
244C22×#67—42no—
245C22×#67—42no—
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#123—24no—
267C3×#123—24no—
268C3×#123—24no—
269C3×#123—24no—
270C3×#123—24no—
271C3×#123—24no—
272C3×#123—24no—
273C3×#123D418yescomplemented
274C2×C3×C4⋊C4—24no—
275C2×C3×C4⋊C4—24no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4—24no—
285C2×C3×C22⋊C4—24no—
286C2×C3×C22⋊C4—24no—
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299#953—24no—
300#953—42no—
301#953—42no—
302#953—42no—
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
328#938—24no—
329#938—42no—
330#937—24no—
331#937—42no—
332#930—24no—
333#930—24no—
334#930—42no—
335#930—42no—
336C4×#67—24no—
337C4×#67—42no—
338C4×#67—42no—
339C4×#67—42no—
340C4×#67—42no—
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371#924—42no—
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×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#898—24no—
389#897—24no—
390#894—24no—
391#893—24no—
392#885—24no—
393#885—24no—
394#884—24no—
395#882—24no—
396D3×C22⋊C4—24no—
397#879—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4C2×D311yescharacteristic
428C24×C4C2×D311yescharacteristic, complemented
429#538—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—28no—
435C2×#123—31no—
436C2×#123C2×D311yescharacteristic
437C2×#123C2×D311yescharacteristic
438C2×#123C2×D311yescharacteristic
439C2×#123C2×D311yescharacteristic
440C2×#123C2×D311yescharacteristic, complemented
441C2×#123C2×D311yescharacteristic, complemented
442C2×#123C2×D311yescharacteristic, complemented
443C2×#123C2×D311yescharacteristic, complemented
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C22×C4⋊C4C2×D311yescharacteristic, complemented
467C22×C4⋊C4C2×D311yescharacteristic, complemented
468C22×C22⋊C4—31no—
469C22×C22⋊C4C2×D311yescharacteristic
470C22×C22⋊C4C2×D311yescharacteristic
471C22×C22⋊C4C2×D311yescharacteristic, complemented
472#400—31no—
473#400—31no—
474#399—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#396—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#394—31no—
499#394—31no—
500#394—31no—
501#393—31no—
502#393—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—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#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
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—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—416no—
624C2×C3×D4C2×D414yes—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
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—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—416no—
652C22×C3×C4C2×D414yescomplemented
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—416no—
702C2×#67#4114yes—
703C22×Dic3—22no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—22no—
743C3×C4⋊C4C2×D414yescomplemented
744C3×C4⋊C4C2×D414yescomplemented
745C3×C22⋊C4—22no—
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⋊C4C2×D414yes—
755C3×C22⋊C4C2×D414yes—
756C3×C22⋊C4C2×D414yescomplemented
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805C4⋊Dic3—22no—
806C4⋊Dic3—22no—
807C4⋊Dic3—22no—
808C4⋊Dic3—41no—
809C4⋊Dic3—41no—
810C4⋊Dic3—41no—
811C4⋊Dic3—41no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3—41no—
828C25—31no—
829C25C22×D311yescharacteristic
830C25C22×D311yescharacteristic
831C22×Q8—31no—
832C22×D4—24no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—42no—
849C22×D4—42no—
850C22×D4—64no—
851C22×D4—122no—
852C22×D4—122no—
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
857C23×C4—24no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—42no—
863C23×C4—42no—
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C23×C4C22×D311yescharacteristic
869C23×C4C22×D311yescharacteristic
870C23×C4C22×D311yescharacteristic
871C23×C4C22×D311yescharacteristic
872C23×C4C22×D311yescharacteristic
873#126—64no—
874#126—64no—
875#124—64no—
876#124—64no—
877#123—24no—
878#123—24no—
879#123—24no—
880#123—24no—
881#123—24no—
882#123—24no—
883#123—24no—
884#123—64no—
885#123#6718yescomplemented
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C22⋊C4—24no—
935C2×C22⋊C4—24no—
936C2×C22⋊C4—24no—
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—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—64no—
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
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—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—28no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—44no—
1064C23×C3—44no—
1065C23×C3—44no—
1066C23×C3—44no—
1067C23×C3—44no—
1068C23×C3—44no—
1069C23×C3—44no—
1070C23×C3—44no—
1071C23×C3—44no—
1072C23×C3—44no—
1073C23×C3—82no—
1074C23×C3—82no—
1075C23×C3—82no—
1076C23×C3C22×D412yes—
1077C23×C3C22×D412yes—
1078C23×C3C2×#4112yes—
1079C23×C3H(5,𝔽2)12yes—
1080C23×C3H(5,𝔽2)12yes—
1081C23×C3H(5,𝔽2)12yes—
1082C23×C3C2511yescharacteristic
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3C2×#4112yes—
1111C3×D4—44no—
1112C3×D4—44no—
1113C3×D4—44no—
1114C3×D4—44no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
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—44no—
1141C2×C3×C4—44no—
1142C2×C3×C4—44no—
1143C2×C3×C4—44no—
1144C2×C3×C4—44no—
1145C2×C3×C4—44no—
1146C2×C3×C4—44no—
1147C2×C3×C4—44no—
1148C2×C3×C4—44no—
1149C2×C3×C4C22×D412yes—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154#67—28no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—82no—
1162#67—82no—
1163#67—82no—
1164#67—82no—
1165#67—82no—
1166#67—82no—
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—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—44no—
1206C2×Dic3C2×#4112yes—
1207D12—44no—
1208D12—82no—
1209C4×D3—82no—
1210C4×D3—82no—
1211C4×D3—82no—
1212Dic6—82no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—31no—
1223C24—31no—
1224C24—31no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—62no—
1231C24—62no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C2×Q8—62no—
1243C2×Q8—121no—
1244C2×Q8—121no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—34no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—416no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
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—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
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—1216no—
1303C2×D4C2×#6714yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—31no—
1320C22×C4—31no—
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—31no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—416no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4C2×#6714yescomplemented
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C4⋊C4—121no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4C2×#6714yescomplemented
1390C4⋊C4C2×#6714yescomplemented
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
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—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
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⋊C4C2×#6714yes—
1449C22⋊C4C2×#6714yes—
1450C22⋊C4C2×#6714yescomplemented
1451C42—62no—
1452C42—62no—
1453C42—121no—
1454C42—121no—
1455C42—121no—
1456C42—121no—
1457C42—121no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—22no—
1469C22×C3—22no—
1470C22×C3—22no—
1471C22×C3—22no—
1472C22×C3—22no—
1473C22×C3—416no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—88no—
1494C22×C3#53814yescomplemented
1495C22×C3C23×D411yescharacteristic
1496C22×C3C22×#4111yescharacteristic
1497C22×C3C2×H(5,𝔽2)11yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3C2×H(5,𝔽2)11yescharacteristic
1500C22×C3#58511yescharacteristic
1501C22×C3#58511yescharacteristic
1502C2×D3—22no—
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
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—88no—
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—22no—
1528C3×C4—22no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534Dic3—22no—
1535Dic3—41no—
1536Dic3—41no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—28no—
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—21no—
1577C23—32no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—82no—
1609C23—82no—
1610C23—82no—
1611C23—124no—
1612C23—124no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23#100412yes—
1619C23#100412yes—
1620C23D3×#4112yes—
1621C23#100912yes—
1622C23C22×#6712yes—
1623C23C22×#6712yes—
1624C23C24×D311yescharacteristic
1625Q8—242no—
1626D4—44no—
1627D4—44no—
1628D4—44no—
1629D4—44no—
1630D4—68no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
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—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—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
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—61no—
1718C2×C4—124no—
1719C2×C4—242no—
1720C2×C4—242no—
1721C2×C4—242no—
1722C2×C4C22×#6712yes—
1723C2×C4C22×#6712yes—
1724C2×C4C22×#6712yes—
1725C2×C4C22×#6712yes—
1726C2×C4C22×#6712yes—
1727C2×C3—24no—
1728C2×C3—42no—
1729C2×C3—42no—
1730C2×C3—42no—
1731C2×C3—81no—
1732C2×C3C2×#53811yescharacteristic
1733C2×C3D4×#4111yescharacteristic
1734C2×C3#348411yescharacteristic
1735C2×C3#348811yescharacteristic
1736C2×C3#351311yescharacteristic
1737C2×C3#353311yescharacteristic
1738C2×C3#353411yescharacteristic
1739D3—42no—
1740D3—81no—
1741D3—81no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—416no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—88no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—248no—
1800C22#565714yescomplemented
1801C22C2×#100411yescharacteristic
1802C22C2×#100411yescharacteristic
1803C22C2×D3×#4111yescharacteristic
1804C22C2×#100911yescharacteristic
1805C22#596411yescharacteristic
1806C22#596411yescharacteristic
1807C22C23×#6711yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—62no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C3#3771311yescharacteristic, complemented, Sylow
1832C2—24no—
1833C2—42no—
1834C2—42no—
1835C2—42no—
1836C2—81no—
1837C2—122no—
1838C2—241no—
1839C2—241no—
1840C2C2×#565711yescharacteristic
1841C2#8601311yescharacteristic
1842C2#8601611yescharacteristic
1843C2#8601711yescharacteristic
1844C2#8723911yescharacteristic
1845C2#41×#6711yescharacteristic
1846C2#8727511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#123C2
hypercenterC22×#123D3
hypocenterC3#37713
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
1. C22×C3×#123C2semidirect
2. C2×#5657C2semidirect
3. #84053C2semidirect
4. #84052C2semidirect
5. #84032C2semidirect
6. C4×#953C2semidirect
7. #82910C2semidirect
8. #82909C2semidirect
9. #82908C2semidirect
10. #82907C2semidirect
11. #82904C2semidirect
12. #82899C2semidirect
13. #82896C2semidirect
14. #82885C2semidirect
15. #82878C2semidirect
16. #82877C2semidirect
17. #82873C2semidirect
18. #82867C2semidirect
19. #82862C2semidirect
20. #82861C2semidirect
21. #82837C2semidirect
22. #82195C2semidirect
23. #82194C2semidirect
24. #82175C2semidirect
25. #82163C2semidirect
26. #82127C2semidirect
27. C22⋊C4×#67C2semidirect
28. #82112C2semidirect
29. #82111C2semidirect
30. #82111C2semidirect
31. #82109C2semidirect
34. C24×C3×C4C22semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×#123C22semidirect
43. C2×C3×#123C22semidirect
44. C2×C3×#123C22semidirect
45. C22×C3×C4⋊C4C22semidirect
46. C22×C3×C4⋊C4C22semidirect
49. C22×C3×C22⋊C4C22semidirect
53. C2×#953C22semidirect
55. C2×#938C22semidirect
60. C2×#930C22semidirect
61. C2×#930C22semidirect
64. C2×C4×#67C22semidirect
65. C2×C4×#67C22semidirect
66. C2×C4×#67C22semidirect
67. C2×#924C22semidirect
69. C2×#898C22semidirect
70. C2×#897C22semidirect
71. C2×#894C22semidirect
72. C2×#893C22semidirect
73. C2×#885C22semidirect
74. C2×#885C22semidirect
75. C2×#884C22semidirect
76. C2×#882C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×#879C22semidirect
81. #5247C22semidirect
87. #5223C22semidirect
89. #5222C22semidirect
91. #5221C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. #5212C22semidirect
109. #5212C22semidirect
110. #5212C22semidirect
111. #5212C22semidirect
112. #5210C22semidirect
113. #5210C22semidirect
114. #5210C22semidirect
115. #5210C22semidirect
116. C4×#217C22semidirect
117. C4×#217C22semidirect
118. C4×#217C22semidirect
119. C4×#217C22semidirect
120. #4994C22semidirect
121. #4994C22semidirect
122. #4994C22semidirect
123. #4993C22semidirect
124. #4992C22semidirect
125. #4992C22semidirect
126. #4991C22semidirect
127. #4990C22semidirect
128. #4990C22semidirect
129. #4990C22semidirect
130. #4990C22semidirect
131. #4989C22semidirect
132. #4989C22semidirect
133. #4989C22semidirect
134. #4988C22semidirect
135. #4987C22semidirect
136. #4986C22semidirect
137. #4985C22semidirect
138. #4984C22semidirect
139. #4982C22semidirect
140. #4981C22semidirect
141. #4981C22semidirect
142. #4980C22semidirect
143. #4980C22semidirect
144. #4978C22semidirect
145. Dic3×C4⋊C4C22semidirect
146. #4973C22semidirect
147. #4972C22semidirect
148. #4961C22semidirect
149. #4961C22semidirect
150. #4961C22semidirect
151. #4961C22semidirect
152. #4960C22semidirect
153. #4960C22semidirect
154. #4960C22semidirect
155. #4959C22semidirect
156. #4959C22semidirect
157. #4959C22semidirect
158. #4959C22semidirect
159. #4958C22semidirect
160. #4957C22semidirect
161. #4957C22semidirect
162. #4957C22semidirect
163. #4957C22semidirect
164. #4957C22semidirect
165. #4956C22semidirect
166. #4956C22semidirect
167. #4956C22semidirect
168. #4955C22semidirect
169. #4955C22semidirect
170. #4953C22semidirect
171. #4952C22semidirect
172. #4952C22semidirect
173. #4952C22semidirect
174. #4952C22semidirect
175. #4951C22semidirect
176. #4951C22semidirect
177. #4951C22semidirect
178. #4951C22semidirect
179. #4950C22semidirect
180. #4948C22semidirect
181. #4948C22semidirect
182. #4947C22semidirect
183. #4947C22semidirect
184. #4945C22semidirect
185. #4944C22semidirect
186. #4944C22semidirect
187. #4944C22semidirect
188. #4942C22semidirect
189. Dic3×C22⋊C4C22semidirect
191. C22×#123D3semidirect
273. C3×#123D4semidirect
428. C24×C4C2×D3semidirect
440. C2×#123C2×D3semidirect
441. C2×#123C2×D3semidirect
442. C2×#123C2×D3semidirect
443. C2×#123C2×D3semidirect
466. C22×C4⋊C4C2×D3semidirect
467. C22×C4⋊C4C2×D3semidirect
471. C22×C22⋊C4C2×D3semidirect
652. C22×C3×C4C2×D4semidirect
743. C3×C4⋊C4C2×D4semidirect
744. C3×C4⋊C4C2×D4semidirect
756. C3×C22⋊C4C2×D4semidirect
885. #123#67semidirect
1356. C22×C4C2×#67semidirect
1389. C4⋊C4C2×#67semidirect
1390. C4⋊C4C2×#67semidirect
1450. C22⋊C4C2×#67semidirect
1494. C22×C3#538semidirect
1800. C22#5657semidirect
1831. C3#37713semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1232
C2×#56572
#840532
#840522
#840322
C4×#9532
#829102
#829092
#829082
#829072
#829042
#828992
#828962
#828852
#828782
#828772
#828732
#828672
#828622
#828612
#828372
#821952
#821942
#821752
#821632
#821272
C22⋊C4×#672
#821122
#821112
#821092
#377133