Finite Group Databasebeta

← #11025283

Subgroups — #11025283

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×#935C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2408C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5#82694C211yesmaximal, characteristic, complemented
6#82686C211yesmaximal, characteristic, complemented
7#82657C211yesmaximal, characteristic, complemented
8#82606C211yesmaximal, characteristic, complemented
9#82601C211yesmaximal, characteristic, complemented
10#82589C211yesmaximal, characteristic, complemented
11#82586C211yesmaximal, characteristic, complemented
12#82356C211yesmaximal, characteristic, complemented
13#82340C211yesmaximal, characteristic, complemented
14#77111C211yesmaximal, characteristic, complemented
15#77030C211yesmaximal, characteristic, complemented
16#77016C211yesmaximal, characteristic, complemented
17#76975C211yesmaximal, characteristic, complemented
18#76771C211yesmaximal, characteristic, complemented
19#76723C211yesmaximal, characteristic, complemented
20#76707C211yesmaximal, characteristic, complemented
21#76691C211yesmaximal, characteristic, complemented
22#76469C211yesmaximal, characteristic, complemented
23#76384C211yesmaximal, characteristic, complemented
24#76355C211yesmaximal, characteristic, complemented
25#76300C211yesmaximal, characteristic, complemented
26#73910C211yesmaximal, characteristic, complemented
27#73889C211yesmaximal, characteristic, complemented
28#73850C211yesmaximal, characteristic, complemented
29#73831C211yesmaximal, characteristic, complemented
30#73829C211yesmaximal, characteristic, complemented
31#73818C211yesmaximal, characteristic, complemented
32#37713—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C24×Dic3C2211yescharacteristic, complemented
36C2×C3×#121C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic, complemented
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C22×#217C2211yescharacteristic
45C22×#217C2211yescharacteristic, complemented
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#938C2211yescharacteristic, complemented
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#937C2211yescharacteristic, complemented
54C2×#936C2211yescharacteristic, complemented
55C2×#935—28no—
56C2×#935C2211yescharacteristic
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic
59C2×#935C2211yescharacteristic
60C2×#935C2211yescharacteristic, complemented
61C2×#935C2211yescharacteristic, complemented
62C2×#935C2211yescharacteristic, complemented
63C2×#935C2211yescharacteristic, complemented
64C2×#929C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C22×Dic3⋊C4C2211yescharacteristic, complemented
67C22×Dic3⋊C4C2211yescharacteristic, complemented
68#5613—28no—
69C2×#898C2211yescharacteristic, complemented
70C2×#896C2211yescharacteristic, complemented
71C2×#885C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic, complemented
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#879C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic
80C3×#394C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic
84C3×#390C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic, complemented
86C3×#379C2211yescharacteristic
87C3×#379C2211yescharacteristic, complemented
88#5247C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5221C2211yescharacteristic, complemented
100#5221C2211yescharacteristic, complemented
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5213C2211yescharacteristic
109#5213C2211yescharacteristic
110#5210C2211yescharacteristic, complemented
111#5210C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4993C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4985C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4983C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4958C2211yescharacteristic, complemented
135#4958C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4955C2211yescharacteristic, complemented
144#4955C2211yescharacteristic, complemented
145#4953C2211yescharacteristic, complemented
146#4953C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4946C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4942C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174Dic3×C22⋊C4C2211yescharacteristic, complemented
175Dic3×C22⋊C4C2211yescharacteristic, complemented
176Dic3×C22⋊C4C2211yescharacteristic, complemented
177Dic3×C22⋊C4C2211yescharacteristic, complemented
178#4940C2211yescharacteristic, complemented
179#4940C2211yescharacteristic, complemented
180#4933C2211yescharacteristic, complemented
181C4×Dic3⋊C4C2211yescharacteristic, complemented
182#4676C2211yescharacteristic, complemented
183#4675C2211yescharacteristic, complemented
184#4669C2211yescharacteristic, complemented
185#4667C2211yescharacteristic, complemented
186#4660C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4654C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#123—31no—
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#2408D311yescharacteristic, complemented
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
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67—24no—
239C22×#67—42no—
240C22×#67—42no—
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3—24no—
252C23×Dic3—42no—
253C23×Dic3—42no—
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#121—24no—
267C3×#121—42no—
268C3×#120—42no—
269C3×#120—42no—
270C3×C4×D4—42no—
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291#953—24no—
292#953—42no—
293C2×#217—24no—
294C2×#217—24no—
295C2×#217—24no—
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
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324#939—24no—
325#939—24no—
326#939—42no—
327#939—42no—
328#938—24no—
329#937—24no—
330#937—24no—
331#937—42no—
332#936—24no—
333#935—24no—
334#935—24no—
335#935—24no—
336#935—24no—
337#935—24no—
338#935—24no—
339#935—24no—
340#935D418yescomplemented
341#929—24no—
342C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×Dic3⋊C4—24no—
363C2×Dic3⋊C4—24no—
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#898—24no—
389#896—24no—
390#885—24no—
391#67⋊C4—24no—
392#67⋊C4—42no—
393#67⋊C4—42no—
394#67⋊C4—42no—
395D3×C22⋊C4—24no—
396#879—24no—
397#878—42no—
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×C4—31no—
429#538—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—68no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#121C2×D311yescharacteristic, complemented
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120C2×D311yescharacteristic
459C2×#120C2×D311yescharacteristic, complemented
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4C2×D311yescharacteristic, complemented
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
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#394C2×D311yescharacteristic
500#394C2×D311yescharacteristic, complemented
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#392C2×D311yescharacteristic
511#392C2×D311yescharacteristic, complemented
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390C2×D311yescharacteristic
520#390C2×D311yescharacteristic, complemented
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#380C2×D311yescharacteristic, complemented
572#379—31no—
573#379—31no—
574#379—31no—
575#379C2×D311yescharacteristic
576#379C2×D311yescharacteristic, complemented
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
602C24×C3C2411yescharacteristic
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
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—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—416no—
639C2×C3×D4C2×D414yes—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—416no—
685C2×#67#4114yes—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—416no—
713C22×Dic3C2×D414yescomplemented
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C2×C4×D3—22no—
729C2×C4×D3—22no—
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—41no—
739C3×C4⋊C4—41no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C42—41no—
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—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217C2×D414yes—
783#217C2×D414yes—
784#217C2×D414yescomplemented
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—
801C4⋊Dic3—22no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4C2×D414yescomplemented
821Dic3⋊C4C2×D414yescomplemented
822C4×Dic3—22no—
823C4×Dic3—22no—
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—42no—
844C22×D4—42no—
845C22×D4—64no—
846C22×D4—122no—
847C22×D4—122no—
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C22×D4C22×D311yescharacteristic
856C22×D4C22×D311yescharacteristic
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—64no—
869C23×C4—122no—
870C23×C4—122no—
871C23×C4C22×D311yescharacteristic
872C23×C4C22×D311yescharacteristic
873#126—64no—
874#126—64no—
875#124—64no—
876#124—64no—
877#123—38no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—24no—
889#121—42no—
890#121—64no—
891#121—64no—
892#121—64no—
893#121—122no—
894#121—122no—
895#120—42no—
896#120—42no—
897#120—64no—
898#120—64no—
899#120—64no—
900#120—122no—
901#120—122no—
902C4×D4—42no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
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⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—64no—
930C2×C4⋊C4—64no—
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
979C2×C22⋊C4—64no—
980C2×C22⋊C4—64no—
981C2×C22⋊C4—64no—
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
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—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—44no—
1071C23×C3—44no—
1072C23×C3—44no—
1073C23×C3—44no—
1074C23×C3—44no—
1075C23×C3—44no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—44no—
1079C23×C3—44no—
1080C23×C3—82no—
1081C23×C3—82no—
1082C23×C3—82no—
1083C23×C3C22×D412yes—
1084C23×C3C22×D412yes—
1085C23×C3C2×#4112yes—
1086C23×C3H(5,𝔽2)12yes—
1087C23×C3H(5,𝔽2)12yes—
1088C23×C3H(5,𝔽2)12yes—
1089C23×C3C2511yescharacteristic
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—
1115C3×D4—44no—
1116C3×D4—82no—
1117C3×D4—82no—
1118C3×D4—82no—
1119C3×D4—82no—
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—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—44no—
1147C2×C3×C4—82no—
1148C2×C3×C4C22×D412yes—
1149#67—28no—
1150#67—44no—
1151#67—44no—
1152#67—44no—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—82no—
1157#67—82no—
1158#67—82no—
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—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—44no—
1197C2×Dic3—44no—
1198C2×Dic3—44no—
1199C2×Dic3—44no—
1200C2×Dic3—44no—
1201C2×Dic3—44no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—44no—
1205C2×Dic3C22×D412yes—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C2×#4112yes—
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—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—62no—
1230C24—62no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24C23×D311yescharacteristic
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—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—34no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—416no—
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—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×D4D3×D414yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—34no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
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×C4—121no—
1357C22×C4—1216no—
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—34no—
1369C4⋊C4—34no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—62no—
1373C4⋊C4—62no—
1374C4⋊C4—62no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—62no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4—121no—
1390C4⋊C4—121no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—34no—
1398C22⋊C4—34no—
1399C22⋊C4—34no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
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—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—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⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C42—41no—
1452C42—62no—
1453C42—62no—
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—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—88no—
1501C22×C3#53814yescomplemented
1502C22×C3C23×D411yescharacteristic
1503C22×C3C22×#4111yescharacteristic
1504C22×C3C2×H(5,𝔽2)11yescharacteristic
1505C22×C3C2×H(5,𝔽2)11yescharacteristic
1506C22×C3C2×H(5,𝔽2)11yescharacteristic
1507C22×C3#58511yescharacteristic
1508C22×C3#58511yescharacteristic
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—22no—
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—41no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533Dic3—22no—
1534Dic3—22no—
1535Dic3—22no—
1536Dic3—22no—
1537Dic3—22no—
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—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—32no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
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—
1618C23C2×D3×D412yes—
1619C23C2×D3×D412yes—
1620C23#100412yes—
1621C23#100412yes—
1622C23#100412yes—
1623C23D3×#4112yes—
1624C23C24×D311yescharacteristic
1625Q8—242no—
1626D4—44no—
1627D4—44no—
1628D4—44no—
1629D4—44no—
1630D4—44no—
1631D4—68no—
1632D4—82no—
1633D4—82no—
1634D4—82no—
1635D4—82no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
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—21no—
1671C2×C4—32no—
1672C2×C4—32no—
1673C2×C4—32no—
1674C2×C4—32no—
1675C2×C4—32no—
1676C2×C4—44no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—82no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—124no—
1724C2×C4—242no—
1725C2×C4—242no—
1726C2×C4C2×D3×D412yes—
1727C2×C3—24no—
1728C2×C3—42no—
1729C2×C3—42no—
1730C2×C3—42no—
1731C2×C3—81no—
1732C2×C3—81no—
1733C2×C3C2×#53811yescharacteristic
1734C2×C3D4×#4111yescharacteristic
1735C2×C3#348411yescharacteristic
1736C2×C3#348811yescharacteristic
1737C2×C3#351311yescharacteristic
1738C2×C3#353311yescharacteristic
1739C2×C3#353411yescharacteristic
1740D3—42no—
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—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—88no—
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#561314yescomplemented
1801C22C22×D3×D411yescharacteristic
1802C22C2×#100411yescharacteristic
1803C22C2×#100411yescharacteristic
1804C22C2×#100411yescharacteristic
1805C22C2×D3×#4111yescharacteristic
1806C22#596611yescharacteristic
1807C22#596611yescharacteristic
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—62no—
1818C4—62no—
1819C4—62no—
1820C4—62no—
1821C4—62no—
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—81no—
1838C2—122no—
1839C2—241no—
1840C2#8591911yescharacteristic
1841C2C2×#561311yescharacteristic
1842C2#8632111yescharacteristic
1843C2#8660711yescharacteristic
1844C2#8661311yescharacteristic
1845C2#8662611yescharacteristic
1846C2#8663511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2408C2
hypercenter#2408D3
hypocenterC3#37713
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2408

Complements

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

NH ≅ G/Ntype
1. C22×#935C2semidirect
2. C2×#5613C2semidirect
3. C3×#2408C2semidirect
4. #84052C2semidirect
5. #82694C2semidirect
6. #82686C2semidirect
7. #82657C2semidirect
8. #82606C2semidirect
9. #82601C2semidirect
10. #82589C2semidirect
11. #82586C2semidirect
12. #82356C2semidirect
13. #82340C2semidirect
14. #77111C2semidirect
15. #77030C2semidirect
16. #77016C2semidirect
17. #76975C2semidirect
18. #76771C2semidirect
19. #76723C2semidirect
20. #76707C2semidirect
21. #76691C2semidirect
22. #76469C2semidirect
23. #76384C2semidirect
24. #76355C2semidirect
25. #76300C2semidirect
26. #73910C2semidirect
27. #73889C2semidirect
28. #73850C2semidirect
29. #73831C2semidirect
30. #73829C2semidirect
31. #73818C2semidirect
35. C24×Dic3C22semidirect
37. C2×C3×#121C22semidirect
39. C2×C3×#120C22semidirect
40. C2×C3×C4×D4C22semidirect
45. C22×#217C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
50. C2×#938C22semidirect
53. C2×#937C22semidirect
54. C2×#936C22semidirect
60. C2×#935C22semidirect
61. C2×#935C22semidirect
62. C2×#935C22semidirect
63. C2×#935C22semidirect
64. C2×#929C22semidirect
65. C2×C4×#67C22semidirect
66. C22×Dic3⋊C4C22semidirect
67. C22×Dic3⋊C4C22semidirect
69. C2×#898C22semidirect
70. C2×#896C22semidirect
71. C2×#885C22semidirect
74. C2×#67⋊C4C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#879C22semidirect
78. C2×#878C22semidirect
80. C3×#394C22semidirect
82. C3×#392C22semidirect
84. C3×#390C22semidirect
85. C3×#380C22semidirect
87. C3×#379C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5221C22semidirect
100. #5221C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
110. #5210C22semidirect
111. #5210C22semidirect
112. #4994C22semidirect
113. #4994C22semidirect
114. #4993C22semidirect
115. #4989C22semidirect
116. #4985C22semidirect
117. #4983C22semidirect
118. #4983C22semidirect
119. #4978C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4958C22semidirect
135. #4958C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4955C22semidirect
144. #4955C22semidirect
145. #4953C22semidirect
146. #4953C22semidirect
147. #4952C22semidirect
148. #4952C22semidirect
149. #4952C22semidirect
150. #4952C22semidirect
151. #4951C22semidirect
152. #4951C22semidirect
153. #4950C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
158. #4946C22semidirect
159. #4946C22semidirect
160. #4946C22semidirect
161. #4946C22semidirect
162. #4945C22semidirect
163. #4945C22semidirect
164. #4945C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4942C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. Dic3×C22⋊C4C22semidirect
175. Dic3×C22⋊C4C22semidirect
176. Dic3×C22⋊C4C22semidirect
177. Dic3×C22⋊C4C22semidirect
178. #4940C22semidirect
179. #4940C22semidirect
180. #4933C22semidirect
181. C4×Dic3⋊C4C22semidirect
182. #4676C22semidirect
183. #4675C22semidirect
184. #4669C22semidirect
185. #4667C22semidirect
186. #4660C22semidirect
187. #4657C22semidirect
188. #4654C22semidirect
189. #4646C22semidirect
215. #2408D3semidirect
340. #935D4semidirect
452. C2×#121C2×D3semidirect
459. C2×#120C2×D3semidirect
465. C2×C4×D4C2×D3semidirect
500. #394C2×D3semidirect
511. #392C2×D3semidirect
520. #390C2×D3semidirect
571. #380C2×D3semidirect
576. #379C2×D3semidirect
713. C22×Dic3C2×D4semidirect
784. #217C2×D4semidirect
820. Dic3⋊C4C2×D4semidirect
821. Dic3⋊C4C2×D4semidirect
1501. C22×C3#538semidirect
1800. C22#5613semidirect
1831. C3#37713semidirect

Maximal subgroups

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

subgroupindex
C22×#9352
C2×#56132
C3×#24082
#840522
#826942
#826862
#826572
#826062
#826012
#825892
#825862
#823562
#823402
#771112
#770302
#770162
#769752
#767712
#767232
#767072
#766912
#764692
#763842
#763552
#763002
#739102
#738892
#738502
#738312
#738292
#738182
#377133