Finite Group Databasebeta

← #11634026

Subgroups — #11634026

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×#5658C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic, complemented
3C3×#2673C211yesmaximal, characteristic, complemented
4#83175C211yesmaximal, characteristic, complemented
5#83173C211yesmaximal, characteristic, complemented
6#82855C211yesmaximal, characteristic, complemented
7#82702C211yesmaximal, characteristic, complemented
8#82696C211yesmaximal, characteristic, complemented
9#82637C211yesmaximal, characteristic, complemented
10#77115C211yesmaximal, characteristic, complemented
11#77109C211yesmaximal, characteristic, complemented
12#76920C211yesmaximal, characteristic, complemented
13#76906C211yesmaximal, characteristic, complemented
14#76759C211yesmaximal, characteristic, complemented
15#76758C211yesmaximal, characteristic, complemented
16#76758C211yesmaximal, characteristic, complemented
17#76756C211yesmaximal, characteristic, complemented
18#76677C211yesmaximal, characteristic, complemented
19#76675C211yesmaximal, characteristic, complemented
20#76672C211yesmaximal, characteristic, complemented
21#76668C211yesmaximal, characteristic, complemented
22#75838C211yesmaximal, characteristic, complemented
23#75595C211yesmaximal, characteristic, complemented
24#75311C211yesmaximal, characteristic, complemented
25#75018C211yesmaximal, characteristic, complemented
26#74879C211yesmaximal, characteristic, complemented
27D3×#386C211yesmaximal, characteristic, complemented
28#74830C211yesmaximal, characteristic, complemented
29#74828C211yesmaximal, characteristic, complemented
30#74726C211yesmaximal, characteristic, complemented
31#74659C211yesmaximal, characteristic, complemented
32#59045—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic
36C2×C3×#127C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40C2×#940C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic, complemented
53C2×D4×Dic3C2211yescharacteristic, complemented
54C2×D4×Dic3C2211yescharacteristic, complemented
55C2×D4×Dic3C2211yescharacteristic, complemented
56C2×D4×Dic3C2211yescharacteristic, complemented
57C22×(C2×D3)⋊C4C2211yescharacteristic
58C2×#926C2211yescharacteristic, complemented
59C2×#924C2211yescharacteristic, complemented
60#5658—28no—
61#5606—28no—
62C2×#898C2211yescharacteristic, complemented
63C2×#898C2211yescharacteristic, complemented
64C2×#897C2211yescharacteristic
65C2×#892C2211yescharacteristic
66C2×#892C2211yescharacteristic, complemented
67C2×#886C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic
71C2×#883C2211yescharacteristic
72C2×#883C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×#67⋊C4C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×D3×C22⋊C4C2211yescharacteristic
81C2×#878C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#387C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic
91C3×#386C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5221C2211yescharacteristic
102#5221C2211yescharacteristic, complemented
103#5221C2211yescharacteristic, complemented
104#5221C2211yescharacteristic, complemented
105#5221C2211yescharacteristic, complemented
106#5221C2211yescharacteristic, complemented
107#5221C2211yescharacteristic, complemented
108#5220C2211yescharacteristic
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5220C2211yescharacteristic, complemented
114#5213C2211yescharacteristic
115#5213C2211yescharacteristic
116#5210C2211yescharacteristic, complemented
117C4×#217C2211yescharacteristic, complemented
118#4994C2211yescharacteristic, complemented
119#4991C2211yescharacteristic
120#4989C2211yescharacteristic
121#4984C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic, complemented
144#4955C2211yescharacteristic
145#4953C2211yescharacteristic, complemented
146#4953C2211yescharacteristic, complemented
147#4951C2211yescharacteristic, complemented
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4946C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4942C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162#4939C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic
164C4×C4⋊Dic3C2211yescharacteristic, complemented
165C4×C4⋊Dic3C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4677C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4661C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2732—31no—
193#2730—31no—
194#2714—31no—
195#2673D311yescharacteristic, complemented
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—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#237—24no—
252C2×#237—42no—
253C2×#237—42no—
254C2×D3×D4—24no—
255C2×D3×D4—42no—
256C2×D3×D4—42no—
257C22×D12C2311yescharacteristic
258C22×C4×D3—24no—
259C22×C4×D3—42no—
260C22×C4×D3—42no—
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C3×#127—24no—
270C3×#123—24no—
271C3×#121—24no—
272C3×#121—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊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×C42C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312#940—42no—
313#939—42no—
314#939—42no—
315#938—24no—
316#938—42no—
317#938—42no—
318#937—24no—
319#937—24no—
320#937—24no—
321#937—24no—
322#937—24no—
323#937—42no—
324D4×Dic3—24no—
325D4×Dic3—24no—
326D4×Dic3—24no—
327D4×Dic3—42no—
328D4×Dic3—42no—
329C2×(C2×D3)⋊C4—24no—
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351#926—24no—
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363#924—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×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#898—24no—
384#898—24no—
385#897D418yescomplemented
386#892—24no—
387#892—24no—
388#886—24no—
389#885—24no—
390#883—24no—
391#883—24no—
392#883—24no—
393#883—24no—
394#883—42no—
395#67⋊C4—24no—
396#67⋊C4—24no—
397#67⋊C4—24no—
398#67⋊C4—42no—
399D3×C22⋊C4—24no—
400D3×C22⋊C4—42no—
401D3×C22⋊C4—42no—
402#878—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—68no—
433C2×#127—31no—
434C2×#127C2×D311yescharacteristic
435C2×#126—31no—
436C2×#126—31no—
437C2×#124—31no—
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123C2×D311yescharacteristic, complemented
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#121C2×D311yescharacteristic, complemented
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
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×D4—31no—
470C2×C4×D4—31no—
471C2×#117—31no—
472C2×#117—31no—
473C2×#117—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
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#394C2×D311yescharacteristic, complemented
497#394C2×D311yescharacteristic, complemented
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#392C2×D311yescharacteristic, complemented
507#392C2×D311yescharacteristic, complemented
508#392C2×D311yescharacteristic, complemented
509#392C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
563#386C2×D311yescharacteristic, complemented
564#386C2×D311yescharacteristic, complemented
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×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
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#4114yescomplemented
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
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—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
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—
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—41no—
696C22×Dic3—41no—
697C22×Dic3—41no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715#237—416no—
716D3×D4—416no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—41no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
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—416no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3C2×D414yes—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C2×Dic6C2×D414yescomplemented
745C3×C4⋊C4—22no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4C2×D414yescomplemented
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⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C22⋊C4—41no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C42—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#217—41no—
783#217—41no—
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—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4C2×D414yes—
803(C2×D3)⋊C4C2×D414yes—
804(C2×D3)⋊C4#4114yescomplemented
805C4⋊Dic3—22no—
806C4⋊Dic3—22no—
807C4⋊Dic3—22no—
808C4⋊Dic3—22no—
809C4⋊Dic3—22no—
810C4⋊Dic3—41no—
811C4⋊Dic3—41no—
812C4⋊Dic3—41no—
813C4⋊Dic3—41no—
814C4⋊Dic3C2×D414yescomplemented
815C4⋊Dic3C2×D414yescomplemented
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—41no—
822Dic3⋊C4—41no—
823Dic3⋊C4—41no—
824Dic3⋊C4—41no—
825C4×Dic3—22no—
826C4×Dic3—22no—
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—
836C25—31no—
837C2×#41—64no—
838C2×#41—122no—
839C2×#41—122no—
840C22×Q8—31no—
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—64no—
854C22×D4—122no—
855C22×D4—122no—
856C22×D4C22×D311yescharacteristic
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C22×D4C22×D311yescharacteristic
861C22×D4C22×D311yescharacteristic
862C22×D4C22×D311yescharacteristic
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—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—64no—
879C23×C4—122no—
880C23×C4—122no—
881C23×C4C22×D311yescharacteristic
882C23×C4C22×D311yescharacteristic
883#127—24no—
884#127—122no—
885#126—64no—
886#126—64no—
887#124—64no—
888#123—24no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—64no—
894#123—122no—
895C22⋊Q8—38no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898#121—24no—
899#121—24no—
900#121—64no—
901#121—122no—
902#121—122no—
903#121—122no—
904#121—122no—
905#120—64no—
906#120—64no—
907#120—64no—
908#120—64no—
909#120—64no—
910#120—122no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—122no—
918C4×D4—122no—
919C4×D4—122no—
920#117—64no—
921#117—64no—
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⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C4⋊C4C22×D311yescharacteristic
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—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—64no—
990C2×C22⋊C4—64no—
991C2×C22⋊C4—122no—
992C2×C22⋊C4—122no—
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×C42—31no—
1015C2×C42—31no—
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#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
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—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3C2×#4112yes—
1077C23×C3C2×#4112yes—
1078C23×C3C2511yescharacteristic
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—28no—
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—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—44no—
1106C22×D3—44no—
1107C22×D3—82no—
1108C22×D3—82no—
1109C22×D3—82no—
1110C22×D3C22×D412yes—
1111C22×D3C2×#4112yes—
1112C22×D3H(5,𝔽2)12yes—
1113C22×D3H(5,𝔽2)12yes—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—44no—
1121C3×D4—82no—
1122C3×D4—82no—
1123C3×D4—82no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—44no—
1150C2×C3×C4—44no—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C2×#4112yes—
1155C2×C3×C4C2×#4112yes—
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—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—44no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—82no—
1205C2×Dic3—82no—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C2×#4112yes—
1210C2×Dic3H(5,𝔽2)12yes—
1211D12—44no—
1212C4×D3—28no—
1213C4×D3—44no—
1214C4×D3—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—82no—
1219Dic6—44no—
1220C24—31no—
1221C24—31no—
1222C24—31no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—62no—
1230C24—62no—
1231C24—62no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242#41—1216no—
1243C2×Q8—34no—
1244C2×Q8—121no—
1245C2×Q8—121no—
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—22no—
1257C2×D4—22no—
1258C2×D4—22no—
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—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
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—1216no—
1312C2×D4#23714yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—34no—
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—41no—
1331C22×C4—41no—
1332C22×C4—41no—
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—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—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—1216no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
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—34no—
1382C4⋊C4—34no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—121no—
1394C4⋊C4—121no—
1395C4⋊C4—121no—
1396C4⋊C4—121no—
1397C4⋊C4—121no—
1398C4⋊C4—121no—
1399C4⋊C4—121no—
1400C4⋊C4—121no—
1401C4⋊C4D3×D414yescomplemented
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—34no—
1411C22⋊C4—34no—
1412C22⋊C4—34no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
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—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
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⋊C4—121no—
1457C22⋊C4—121no—
1458C42—22no—
1459C42—62no—
1460C42—62no—
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—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—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3C23×D411yescharacteristic
1505C22×C3C22×#4111yescharacteristic
1506C22×C3C22×#4111yescharacteristic
1507C22×C3C2×H(5,𝔽2)11yescharacteristic
1508C22×C3C2×H(5,𝔽2)11yescharacteristic
1509C22×C3C2×H(5,𝔽2)11yescharacteristic
1510C22×C3#58511yescharacteristic
1511C2×D3—22no—
1512C2×D3—22no—
1513C2×D3—22no—
1514C2×D3—22no—
1515C2×D3—22no—
1516C2×D3—22no—
1517C2×D3—22no—
1518C2×D3—22no—
1519C2×D3—22no—
1520C2×D3—416no—
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—88no—
1533C2×D3#55014yes—
1534C3×C4—22no—
1535C3×C4—22no—
1536C3×C4—22no—
1537C3×C4—22no—
1538C3×C4—22no—
1539C3×C4—41no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544Dic3—22no—
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—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—32no—
1591C23—32no—
1592C23—32no—
1593C23—32no—
1594C23—68no—
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—124no—
1613C23—124no—
1614C23—124no—
1615C23—124no—
1616C23—124no—
1617C23—124no—
1618C23—124no—
1619C23—124no—
1620C23—124no—
1621C23—124no—
1622C23—242no—
1623C23—242no—
1624C23—242no—
1625C23C2×#23712yes—
1626C23C2×#23712yes—
1627C23C24×D311yescharacteristic
1628Q8—124no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—44no—
1634D4—44no—
1635D4—44no—
1636D4—82no—
1637D4—82no—
1638D4—82no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—124no—
1644D4—124no—
1645D4—124no—
1646D4—124no—
1647D4—124no—
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—32no—
1677C2×C4—32no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—32no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—68no—
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—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—124no—
1724C2×C4—124no—
1725C2×C4—124no—
1726C2×C4—242no—
1727C2×C4—242no—
1728C2×C4—242no—
1729C2×C4C2×D3×D412yes—
1730C2×C4C2×D3×D412yes—
1731C2×C4C2×D3×D412yes—
1732C2×C4C2×#23712yes—
1733C2×C4D3×#4112yes—
1734C2×C3—42no—
1735C2×C3—42no—
1736C2×C3—81no—
1737C2×C3—81no—
1738C2×C3—81no—
1739C2×C3C2×#55011yescharacteristic
1740C2×C3D4×#4111yescharacteristic
1741C2×C3#348111yescharacteristic
1742C2×C3#348411yescharacteristic
1743C2×C3#349011yescharacteristic
1744C2×C3#351311yescharacteristic
1745C2×C3#354211yescharacteristic
1746D3—24no—
1747D3—42no—
1748D3—81no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—34no—
1756C22—41no—
1757C22—41no—
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—41no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
1791C22—62no—
1792C22—62no—
1793C22—62no—
1794C22—1216no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—248no—
1807C22C22×D3×D411yescharacteristic
1808C22C22×#23711yescharacteristic
1809C22C2×D3×#4111yescharacteristic
1810C22D3×H(5,𝔽2)11yescharacteristic
1811C22D3×H(5,𝔽2)11yescharacteristic
1812C22D3×H(5,𝔽2)11yescharacteristic
1813C22#596611yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—62no—
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—42no—
1839C2—42no—
1840C2—64no—
1841C2—81no—
1842C2—81no—
1843C2—81no—
1844C2—122no—
1845C2—241no—
1846C2#8630911yescharacteristic
1847C2#8633011yescharacteristic
1848C2#8648711yescharacteristic
1849C2D4×#23711yescharacteristic
1850C2#8662811yescharacteristic
1851C2D3×#55011yescharacteristic
1852C2#8707411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2673C2
hypercenter#2673D3
hypocenterC3#59045
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#5658C2semidirect
2. C2×#5606C2semidirect
3. C3×#2673C2semidirect
4. #83175C2semidirect
5. #83173C2semidirect
6. #82855C2semidirect
7. #82702C2semidirect
8. #82696C2semidirect
9. #82637C2semidirect
10. #77115C2semidirect
11. #77109C2semidirect
12. #76920C2semidirect
13. #76906C2semidirect
14. #76759C2semidirect
15. #76758C2semidirect
16. #76758C2semidirect
17. #76756C2semidirect
18. #76677C2semidirect
19. #76675C2semidirect
20. #76672C2semidirect
21. #76668C2semidirect
22. #75838C2semidirect
23. #75595C2semidirect
24. #75311C2semidirect
25. #75018C2semidirect
26. #74879C2semidirect
27. D3×#386C2semidirect
28. #74830C2semidirect
29. #74828C2semidirect
30. #74726C2semidirect
31. #74659C2semidirect
33. C22×#237C22semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×#121C22semidirect
42. C2×#939C22semidirect
52. C2×D4×Dic3C22semidirect
53. C2×D4×Dic3C22semidirect
54. C2×D4×Dic3C22semidirect
55. C2×D4×Dic3C22semidirect
56. C2×D4×Dic3C22semidirect
58. C2×#926C22semidirect
59. C2×#924C22semidirect
62. C2×#898C22semidirect
63. C2×#898C22semidirect
66. C2×#892C22semidirect
67. C2×#886C22semidirect
68. C2×#885C22semidirect
72. C2×#883C22semidirect
73. C2×#883C22semidirect
77. C2×#67⋊C4C22semidirect
81. C2×#878C22semidirect
82. C3×#394C22semidirect
83. C3×#394C22semidirect
84. C3×#392C22semidirect
85. C3×#392C22semidirect
86. C3×#392C22semidirect
87. C3×#392C22semidirect
88. C3×#388C22semidirect
89. C3×#387C22semidirect
91. C3×#386C22semidirect
92. C3×#386C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5222C22semidirect
102. #5221C22semidirect
103. #5221C22semidirect
104. #5221C22semidirect
105. #5221C22semidirect
106. #5221C22semidirect
107. #5221C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
113. #5220C22semidirect
116. #5210C22semidirect
117. C4×#217C22semidirect
118. #4994C22semidirect
121. #4984C22semidirect
122. #4980C22semidirect
123. #4978C22semidirect
124. Dic3×C4⋊C4C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
129. #4959C22semidirect
131. #4958C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
143. #4956C22semidirect
145. #4953C22semidirect
146. #4953C22semidirect
147. #4951C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
150. #4950C22semidirect
151. #4949C22semidirect
152. #4949C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4946C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
159. #4942C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. Dic3×C22⋊C4C22semidirect
164. C4×C4⋊Dic3C22semidirect
165. C4×C4⋊Dic3C22semidirect
166. #4677C22semidirect
167. #4677C22semidirect
168. #4670C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4669C22semidirect
174. #4668C22semidirect
177. #4666C22semidirect
182. #4661C22semidirect
183. #4657C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
195. #2673D3semidirect
385. #897D4semidirect
445. C2×#123C2×D3semidirect
455. C2×#121C2×D3semidirect
496. #394C2×D3semidirect
497. #394C2×D3semidirect
506. #392C2×D3semidirect
507. #392C2×D3semidirect
508. #392C2×D3semidirect
509. #392C2×D3semidirect
537. #388C2×D3semidirect
543. #387C2×D3semidirect
563. #386C2×D3semidirect
564. #386C2×D3semidirect
637. C2×C3×D4#41semidirect
744. C2×Dic6C2×D4semidirect
747. C3×C4⋊C4C2×D4semidirect
804. (C2×D3)⋊C4#41semidirect
814. C4⋊Dic3C2×D4semidirect
815. C4⋊Dic3C2×D4semidirect
1312. C2×D4#237semidirect
1401. C4⋊C4D3×D4semidirect
1837. C3#59045semidirect

Maximal subgroups

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

subgroupindex
C2×#56582
C2×#56062
C3×#26732
#831752
#831732
#828552
#827022
#826962
#826372
#771152
#771092
#769202
#769062
#767592
#767582
#767562
#766772
#766752
#766722
#766682
#758382
#755952
#753112
#750182
#748792
D3×#3862
#748302
#748282
#747262
#746592
#590453