Finite Group Databasebeta

← #11634015

Subgroups — #11634015

Order 768.

2936 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#551C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic, complemented
3#83117C211yesmaximal, characteristic, complemented
4#83108C211yesmaximal, characteristic, complemented
5#83106C211yesmaximal, characteristic, complemented
6#83080C211yesmaximal, characteristic, complemented
7#83006C211yesmaximal, characteristic, complemented
8#82958C211yesmaximal, characteristic, complemented
9#82906C211yesmaximal, characteristic, complemented
10#82901C211yesmaximal, characteristic, complemented
11#82899C211yesmaximal, characteristic, complemented
12#82855C211yesmaximal, characteristic, complemented
13#82849C211yesmaximal, characteristic, complemented
14#82846C211yesmaximal, characteristic, complemented
15#82812C211yesmaximal, characteristic, complemented
16#82807C211yesmaximal, characteristic, complemented
17#82749C211yesmaximal, characteristic, complemented
18#82588C211yesmaximal, characteristic, complemented
19#82586C211yesmaximal, characteristic, complemented
20#82411C211yesmaximal, characteristic, complemented
21C4×#937C211yesmaximal, characteristic, complemented
22#82380C211yesmaximal, characteristic, complemented
23#82343C211yesmaximal, characteristic, complemented
24#82279C211yesmaximal, characteristic, complemented
25#82275C211yesmaximal, characteristic, complemented
26#82244C211yesmaximal, characteristic, complemented
27#82242C211yesmaximal, characteristic, complemented
28#82127C211yesmaximal, characteristic, complemented
29C2×#4956C211yesmaximal, characteristic, complemented
30#82115C211yesmaximal, characteristic, complemented
31#82099C211yesmaximal, characteristic, complemented
32#59045—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#239C2211yescharacteristic, complemented
35C23×C4×D3C2211yescharacteristic
36C3×#551—28no—
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#126C2211yescharacteristic, complemented
39C2×C3×#124C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×#123C2211yescharacteristic, complemented
43C2×C3×C22⋊Q8C2211yescharacteristic
44C2×C3×C22⋊Q8C2211yescharacteristic, complemented
45C2×C3×#120C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic, complemented
48C2×C3×#117C2211yescharacteristic
49C2×C3×#117C2211yescharacteristic, complemented
50C22×C3×C22⋊C4C2211yescharacteristic
51C22×C3×C22⋊C4C2211yescharacteristic
52C2×#953C2211yescharacteristic
53C2×#953C2211yescharacteristic
54C22×#217C2211yescharacteristic
55C2×#946C2211yescharacteristic, complemented
56C2×#940C2211yescharacteristic
57C2×#940C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic
60C2×#938C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic
62C2×#930C2211yescharacteristic
63C2×#930C2211yescharacteristic
64C2×#930C2211yescharacteristic
65C2×#929C2211yescharacteristic
66C2×#929C2211yescharacteristic
67C2×C4×#67C2211yescharacteristic, complemented
68C2×C4×#67C2211yescharacteristic, complemented
69C2×C4×#67C2211yescharacteristic, complemented
70C22×(C2×D3)⋊C4C2211yescharacteristic
71#5627—28no—
72C2×#895C2211yescharacteristic, complemented
73C2×#894C2211yescharacteristic, complemented
74C2×#894C2211yescharacteristic, complemented
75C2×#893C2211yescharacteristic, complemented
76C2×#893C2211yescharacteristic, complemented
77C2×#892C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic
81C2×#67⋊C4C2211yescharacteristic
82#5229C2211yescharacteristic, complemented
83#5229C2211yescharacteristic, complemented
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic, complemented
87#5222C2211yescharacteristic, complemented
88#5221C2211yescharacteristic, complemented
89#5220C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5210C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic
97C4×#217C2211yescharacteristic, complemented
98C2×C3⋊#95C2211yescharacteristic
99C2×C3⋊#95C2211yescharacteristic
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4988C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4983C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123Dic3×C4⋊C4C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4960C2211yescharacteristic, complemented
138#4960C2211yescharacteristic, complemented
139#4958C2211yescharacteristic
140#4958C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4956C2211yescharacteristic
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4956C2211yescharacteristic, complemented
161#4956C2211yescharacteristic, complemented
162#4956C2211yescharacteristic, complemented
163#4955C2211yescharacteristic
164#4953C2211yescharacteristic, complemented
165#4950C2211yescharacteristic
166#4950C2211yescharacteristic
167#4949C2211yescharacteristic, complemented
168#4949C2211yescharacteristic, complemented
169#4948C2211yescharacteristic, complemented
170#4948C2211yescharacteristic, complemented
171#4946C2211yescharacteristic
172#4945C2211yescharacteristic, complemented
173#4944C2211yescharacteristic, complemented
174#4944C2211yescharacteristic, complemented
175#4944C2211yescharacteristic, complemented
176Dic3×C22⋊C4C2211yescharacteristic
177Dic3×C22⋊C4C2211yescharacteristic
178#4940C2211yescharacteristic, complemented
179#4940C2211yescharacteristic, complemented
180#4940C2211yescharacteristic, complemented
181#4940C2211yescharacteristic, complemented
182#4940C2211yescharacteristic, complemented
183#4939C2211yescharacteristic, complemented
184#4939C2211yescharacteristic, complemented
185C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
186C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
187C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
188#4933C2211yescharacteristic, complemented
189C4×Dic3⋊C4C2211yescharacteristic, complemented
190C2×#551D311yescharacteristic, complemented
191C2×#525—31no—
192#2732—31no—
193#2730—31no—
194#2714—31no—
195#2673—31no—
196#2554—31no—
197#2543—31no—
198#2539—31no—
199#2539—31no—
200#2479—31no—
201#2471—31no—
202#2471—31no—
203#2467—31no—
204#2456—31no—
205#2456—31no—
206#2445—31no—
207#2433—31no—
208#2431—31no—
209#2425—31no—
210#2424—31no—
211#2411—31no—
212#2410—31no—
213#2407—31no—
214#2368—31no—
215#2366—31no—
216#2363—31no—
217#2359—31no—
218#2358—31no—
219C4×#120—31no—
220C2×#386—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67—24no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C2×#239—24no—
253C2×#239—42no—
254C2×#239—42no—
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×C4×D3—24no—
261C22×C4×D3—42no—
262C22×C4×D3—42no—
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C3×#126—24no—
270C3×#126—24no—
271C3×#124—24no—
272C3×#123—24no—
273C3×#123—24no—
274C3×#123—24no—
275C3×C22⋊Q8—24no—
276C3×C22⋊Q8D418yescomplemented
277C3×#120—24no—
278C3×C4×D4—24no—
279C3×C4×D4—24no—
280C3×#117—24no—
281C3×#117—24no—
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4—24no—
291C2×C3×C22⋊C4—24no—
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
299C2×C3×C22⋊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×C42C2311yescharacteristic
307C2×C3×C42C2311yescharacteristic
308C2×C3×C42C2311yescharacteristic
309#953—24no—
310#953—42no—
311C2×#217—42no—
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
326#946—24no—
327#940—24no—
328#940—42no—
329#939—42no—
330#939—42no—
331#938—42no—
332#937—24no—
333#930—24no—
334#930—24no—
335#930—42no—
336#929—24no—
337#929—42no—
338C4×#67—42no—
339C4×#67—42no—
340C4×#67—42no—
341C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393#895—24no—
394#894—24no—
395#894—24no—
396#893—24no—
397#893—24no—
398#892—24no—
399#882—24no—
400#882—24no—
401#67⋊C4—24no—
402#67⋊C4—24no—
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4—31no—
431C24×C4—31no—
432#551—28no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#126C2×D311yescharacteristic, complemented
436C2×#126C2×D311yescharacteristic, complemented
437C2×#124C2×D311yescharacteristic, complemented
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123C2×D311yescharacteristic
444C2×#123C2×D311yescharacteristic, complemented
445C2×#123C2×D311yescharacteristic, complemented
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8C2×D311yescharacteristic
448C2×C22⋊Q8C2×D311yescharacteristic, complemented
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120C2×D311yescharacteristic
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4C2×D311yescharacteristic
470C2×C4×D4C2×D311yescharacteristic, complemented
471C2×#117—31no—
472C2×#117C2×D311yescharacteristic
473C2×#117C2×D311yescharacteristic, complemented
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4C2×D311yescharacteristic
477C22×C22⋊C4C2×D311yescharacteristic
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#398—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#391—31no—
511#391—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C2×#95—31no—
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×Q8—41no—
609C2×C3×Q8—41no—
610C2×C3×Q8C2×D414yescomplemented
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4C2×D414yes—
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
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—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—416no—
688C2×#67#4114yescomplemented
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—41no—
695C22×Dic3—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710#239—416no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—416no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4—22no—
748C3×C4⋊C4—22no—
749C3×C4⋊C4—22no—
750C3×C4⋊C4C2×D414yescomplemented
751C3×C4⋊C4C2×D414yescomplemented
752C3×C4⋊C4C2×D414yescomplemented
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4C2×D414yes—
766C3×C22⋊C4C2×D414yes—
767C3×C42—22no—
768C3×C42—22no—
769C3×C42—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—41no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217#4114yescomplemented
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—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
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—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812C4⋊Dic3—22no—
813C4⋊Dic3—22no—
814C4⋊Dic3—41no—
815C4⋊Dic3—41no—
816C4⋊Dic3—41no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—41no—
823Dic3⋊C4—41no—
824Dic3⋊C4—41no—
825Dic3⋊C4—41no—
826Dic3⋊C4—41no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—41no—
831C4×Dic3—41no—
832C4×Dic3—41no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C25—31no—
836C25C22×D311yescharacteristic
837C2×#41—64no—
838C2×#41—122no—
839C2×#41—122no—
840C22×Q8C22×D311yescharacteristic
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—64no—
861C22×D4—122no—
862C22×D4—122no—
863C22×D4C22×D311yescharacteristic
864C22×D4C22×D311yescharacteristic
865C22×D4C22×D311yescharacteristic
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—64no—
876C23×C4—122no—
877C23×C4—122no—
878C23×C4C22×D311yescharacteristic
879C23×C4C22×D311yescharacteristic
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882C23×C4C22×D311yescharacteristic
883#127—64no—
884#127—122no—
885#126—24no—
886#126—24no—
887#124—24no—
888#123—24no—
889#123—24no—
890#123—24no—
891#123—64no—
892#123—64no—
893#123—64no—
894#123—122no—
895C22⋊Q8—24no—
896C22⋊Q8—64no—
897C22⋊Q8#6718yescomplemented
898#121—64no—
899#121—64no—
900#121—64no—
901#121—122no—
902#121—122no—
903#121—122no—
904#121—122no—
905#120—24no—
906#120—64no—
907#120—64no—
908#120—64no—
909#120—64no—
910#120—122no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—122no—
918C4×D4—122no—
919C4×D4—122no—
920#117—24no—
921#117—24no—
922#117—64no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4C22×D311yescharacteristic
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C4⋊C4C22×D311yescharacteristic
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C4⋊C4C22×D311yescharacteristic
946C2×C22⋊C4—24no—
947C2×C22⋊C4—24no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—122no—
991C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014C2×C42C22×D311yescharacteristic
1015C2×C42C22×D311yescharacteristic
1016C2×C42C22×D311yescharacteristic
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
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—44no—
1068C23×C3—44no—
1069C23×C3—44no—
1070C23×C3—44no—
1071C23×C3—82no—
1072C23×C3—82no—
1073C23×C3—82no—
1074C23×C3C22×D412yes—
1075C23×C3C2×#4112yes—
1076C23×C3C2×#4112yes—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3C2511yescharacteristic
1079C22×D3—28no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
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—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—44no—
1107C22×D3—44no—
1108C22×D3—44no—
1109C22×D3—44no—
1110C22×D3—44no—
1111C22×D3—44no—
1112C22×D3C2×#4112yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×Q8—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—82no—
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—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—44no—
1146C2×C3×C4—44no—
1147C2×C3×C4—44no—
1148C2×C3×C4—82no—
1149C2×C3×C4—82no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C4C22×D412yes—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—82no—
1166#67—82no—
1167#67—82no—
1168#67—82no—
1169#67—82no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—82no—
1205C2×Dic3C2×#4112yes—
1206C2×Dic3C2×#4112yes—
1207C2×Dic3C2×#4112yes—
1208C2×Dic3H(5,𝔽2)12yes—
1209D12—44no—
1210D12—44no—
1211D12—44no—
1212D12—44no—
1213D12—44no—
1214C4×D3—28no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—44no—
1219C4×D3—44no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—31no—
1225C24—31no—
1226C24—31no—
1227C24—31no—
1228C24—41no—
1229C24—41no—
1230C24—41no—
1231C24—62no—
1232C24—62no—
1233C24—62no—
1234C24—62no—
1235C24—62no—
1236C24—121no—
1237C24—121no—
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242#41—1216no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8C2×#6714yescomplemented
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—34no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—62no—
1257C2×D4—62no—
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—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
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—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—1216no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
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—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—1216no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4C2×#6714yes—
1368C22×C4C23×D311yescharacteristic
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—121no—
1392C4⋊C4—121no—
1393C4⋊C4—121no—
1394C4⋊C4—121no—
1395C4⋊C4—121no—
1396C4⋊C4—121no—
1397C4⋊C4—121no—
1398C4⋊C4—121no—
1399C4⋊C4C2×#6714yescomplemented
1400C4⋊C4C2×#6714yescomplemented
1401C4⋊C4C2×#6714yescomplemented
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—34no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—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—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4C2×#6714yes—
1457C22⋊C4C2×#6714yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—62no—
1462C42—62no—
1463C42—62no—
1464C42—121no—
1465C42—121no—
1466C42—121no—
1467C42—121no—
1468C42—121no—
1469C22×C3—22no—
1470C22×C3—22no—
1471C22×C3—22no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—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—88no—
1497C22×C3#55014yes—
1498C22×C3C23×D411yescharacteristic
1499C22×C3C22×#4111yescharacteristic
1500C22×C3C22×#4111yescharacteristic
1501C22×C3C2×H(5,𝔽2)11yescharacteristic
1502C22×C3C2×H(5,𝔽2)11yescharacteristic
1503C22×C3C2×H(5,𝔽2)11yescharacteristic
1504C22×C3#58511yescharacteristic
1505C2×D3—22no—
1506C2×D3—22no—
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—416no—
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—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C3×C4—22no—
1535C3×C4—22no—
1536C3×C4—22no—
1537C3×C4—22no—
1538C3×C4—22no—
1539C3×C4—22no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544C3×C4—41no—
1545Dic3—22no—
1546Dic3—22no—
1547Dic3—22no—
1548Dic3—22no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552Dic3—41no—
1553Dic3—41no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—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—32no—
1582C23—32no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—68no—
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—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—124no—
1622C23—124no—
1623C23D3×#4112yes—
1624C23D3×#4112yes—
1625C23#100912yes—
1626C23C22×#6712yes—
1627C23C24×D311yescharacteristic
1628Q8—44no—
1629D4—44no—
1630D4—44no—
1631D4—82no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—124no—
1644D4—124no—
1645D4—124no—
1646D4—242no—
1647D4—242no—
1648D4—242no—
1649D4—242no—
1650D4—242no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—32no—
1681C2×C4—32no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—68no—
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—82no—
1719C2×C4—82no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—124no—
1724C2×C4—124no—
1725C2×C4—124no—
1726C2×C4—124no—
1727C2×C4—242no—
1728C2×C4C22×#6712yes—
1729C2×C4C22×#6712yes—
1730C2×C4C22×#6712yes—
1731C2×C4C22×#6712yes—
1732C2×C4C22×#6712yes—
1733C2×C4C22×#6712yes—
1734C2×C3—24no—
1735C2×C3—42no—
1736C2×C3—81no—
1737C2×C3—81no—
1738C2×C3C2×#55011yescharacteristic
1739C2×C3D4×#4111yescharacteristic
1740C2×C3#348111yescharacteristic
1741C2×C3#348411yescharacteristic
1742C2×C3#349011yescharacteristic
1743C2×C3#351311yescharacteristic
1744C2×C3#354211yescharacteristic
1745D3—42no—
1746D3—42no—
1747D3—81no—
1748D3—81no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
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—62no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—62no—
1781C22—62no—
1782C22—88no—
1783C22—1216no—
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—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22#583414yes—
1807C22C2×D3×#4111yescharacteristic
1808C22C2×D3×#4111yescharacteristic
1809C22C2×#100911yescharacteristic
1810C22#596411yescharacteristic
1811C22D3×H(5,𝔽2)11yescharacteristic
1812C22D3×H(5,𝔽2)11yescharacteristic
1813C22C23×#6711yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—62no—
1826C4—62no—
1827C4—62no—
1828C4—62no—
1829C4—121no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C4—121no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C3#5904511yescharacteristic, complemented, Sylow
1838C2—24no—
1839C2—42no—
1840C2—81no—
1841C2—81no—
1842C2—122no—
1843C2—122no—
1844C2—241no—
1845C2—241no—
1846C2#8679111yescharacteristic
1847C2#8679611yescharacteristic
1848C2#8680511yescharacteristic
1849C2#8681511yescharacteristic
1850C2C2×#583411yescharacteristic
1851C2#41×#6711yescharacteristic
1852C2#8728411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#551C2
hypercenterC2×#551D3
hypocenterC3#59045
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. C2×C3×#551C2semidirect
2. C2×#5627C2semidirect
3. #83117C2semidirect
4. #83108C2semidirect
5. #83106C2semidirect
6. #83080C2semidirect
7. #83006C2semidirect
8. #82958C2semidirect
9. #82906C2semidirect
10. #82901C2semidirect
11. #82899C2semidirect
12. #82855C2semidirect
13. #82849C2semidirect
14. #82846C2semidirect
15. #82812C2semidirect
16. #82807C2semidirect
17. #82749C2semidirect
18. #82588C2semidirect
19. #82586C2semidirect
20. #82411C2semidirect
21. C4×#937C2semidirect
22. #82380C2semidirect
23. #82343C2semidirect
24. #82279C2semidirect
25. #82275C2semidirect
26. #82244C2semidirect
27. #82242C2semidirect
28. #82127C2semidirect
29. C2×#4956C2semidirect
30. #82115C2semidirect
31. #82099C2semidirect
34. C22×#239C22semidirect
37. C2×C3×#126C22semidirect
38. C2×C3×#126C22semidirect
39. C2×C3×#124C22semidirect
41. C2×C3×#123C22semidirect
42. C2×C3×#123C22semidirect
44. C2×C3×C22⋊Q8C22semidirect
47. C2×C3×C4×D4C22semidirect
49. C2×C3×#117C22semidirect
55. C2×#946C22semidirect
60. C2×#938C22semidirect
67. C2×C4×#67C22semidirect
68. C2×C4×#67C22semidirect
69. C2×C4×#67C22semidirect
72. C2×#895C22semidirect
73. C2×#894C22semidirect
74. C2×#894C22semidirect
75. C2×#893C22semidirect
76. C2×#893C22semidirect
77. C2×#892C22semidirect
82. #5229C22semidirect
83. #5229C22semidirect
86. #5223C22semidirect
87. #5222C22semidirect
88. #5221C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5210C22semidirect
97. C4×#217C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
104. #4992C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4990C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4988C22semidirect
113. #4988C22semidirect
114. #4987C22semidirect
115. #4983C22semidirect
116. #4981C22semidirect
117. #4980C22semidirect
118. #4980C22semidirect
119. #4980C22semidirect
120. #4980C22semidirect
121. #4978C22semidirect
122. #4976C22semidirect
123. Dic3×C4⋊C4C22semidirect
124. Dic3×C4⋊C4C22semidirect
125. #4972C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4960C22semidirect
138. #4960C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
160. #4956C22semidirect
161. #4956C22semidirect
162. #4956C22semidirect
164. #4953C22semidirect
167. #4949C22semidirect
168. #4949C22semidirect
169. #4948C22semidirect
170. #4948C22semidirect
172. #4945C22semidirect
173. #4944C22semidirect
174. #4944C22semidirect
175. #4944C22semidirect
178. #4940C22semidirect
179. #4940C22semidirect
180. #4940C22semidirect
181. #4940C22semidirect
182. #4940C22semidirect
183. #4939C22semidirect
184. #4939C22semidirect
185. C4×(C2×D3)⋊C4C22semidirect
186. C4×(C2×D3)⋊C4C22semidirect
187. C4×(C2×D3)⋊C4C22semidirect
188. #4933C22semidirect
189. C4×Dic3⋊C4C22semidirect
190. C2×#551D3semidirect
276. C3×C22⋊Q8D4semidirect
435. C2×#126C2×D3semidirect
436. C2×#126C2×D3semidirect
437. C2×#124C2×D3semidirect
444. C2×#123C2×D3semidirect
445. C2×#123C2×D3semidirect
448. C2×C22⋊Q8C2×D3semidirect
470. C2×C4×D4C2×D3semidirect
473. C2×#117C2×D3semidirect
610. C2×C3×Q8C2×D4semidirect
688. C2×#67#41semidirect
750. C3×C4⋊C4C2×D4semidirect
751. C3×C4⋊C4C2×D4semidirect
752. C3×C4⋊C4C2×D4semidirect
783. #217#41semidirect
897. C22⋊Q8#67semidirect
1245. C2×Q8C2×#67semidirect
1399. C4⋊C4C2×#67semidirect
1400. C4⋊C4C2×#67semidirect
1401. C4⋊C4C2×#67semidirect
1837. C3#59045semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5512
C2×#56272
#831172
#831082
#831062
#830802
#830062
#829582
#829062
#829012
#828992
#828552
#828492
#828462
#828122
#828072
#827492
#825882
#825862
#824112
C4×#9372
#823802
#823432
#822792
#822752
#822442
#822422
#821272
C2×#49562
#821152
#820992
#590453