Finite Group Databasebeta

← #10958920

Subgroups — #10958920

Order 768.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5613C211yesmaximal, characteristic
2C3×#2361C211yesmaximal, characteristic, complemented
3#82639C211yesmaximal, characteristic, complemented
4#82398C211yesmaximal, characteristic, complemented
5#82398C211yesmaximal, characteristic, complemented
6C4×#938C211yesmaximal, characteristic, complemented
7#82340C211yesmaximal, characteristic, complemented
8#82328C211yesmaximal, characteristic, complemented
9#82326C211yesmaximal, characteristic, complemented
10C4⋊C4×#67C211yesmaximal, characteristic, complemented
11#82158C211yesmaximal, characteristic, complemented
12#76432C211yesmaximal, characteristic, complemented
13#76300C211yesmaximal, characteristic, complemented
14#76199C211yesmaximal, characteristic, complemented
15#75994C211yesmaximal, characteristic, complemented
16#75835C211yesmaximal, characteristic, complemented
17D3×#388C211yesmaximal, characteristic, complemented
18#75486C211yesmaximal, characteristic, complemented
19#75462C211yesmaximal, characteristic, complemented
20#74880C211yesmaximal, characteristic, complemented
21#74877C211yesmaximal, characteristic, complemented
22#74683C211yesmaximal, characteristic, complemented
23#74671C211yesmaximal, characteristic, complemented
24#74591C211yesmaximal, characteristic, complemented
25#74403C211yesmaximal, characteristic, complemented
26#74393C211yesmaximal, characteristic, complemented
27#74391C211yesmaximal, characteristic, complemented
28C4×#896C211yesmaximal, characteristic, complemented
29#73666C211yesmaximal, characteristic, complemented
30#73576C211yesmaximal, characteristic, complemented
31#73451C211yesmaximal, characteristic, complemented
32#34426—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C22×C3×C4⋊C4C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#936C2211yescharacteristic
43C2×#935C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×Dic3⋊C4C2211yescharacteristic, complemented
52#5613C4116yescomplemented
53C2×#898C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×#879C2211yescharacteristic
65C2×C42×D3C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic, complemented
67C3×#390C2211yescharacteristic
68C3×#389C2211yescharacteristic, complemented
69C3×#388C2211yescharacteristic
70C3×#388C2211yescharacteristic, complemented
71C3×#386C2211yescharacteristic
72C3×#386C2211yescharacteristic, complemented
73C3×#385C2211yescharacteristic
74C3×#385C2211yescharacteristic, complemented
75C3×C4×C4⋊C4C2211yescharacteristic, complemented
76C3×C4×C22⋊C4C2211yescharacteristic, complemented
77#5221C2211yescharacteristic
78#5221C2211yescharacteristic, complemented
79#5220C2211yescharacteristic
80#5220C2211yescharacteristic
81#5220C2211yescharacteristic
82#5220C2211yescharacteristic, complemented
83#5213C2211yescharacteristic
84#5213C2211yescharacteristic
85#5212C2211yescharacteristic, complemented
86#5211C2211yescharacteristic, complemented
87#5210C2211yescharacteristic
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic
90#5210C2211yescharacteristic, complemented
91#5210C2211yescharacteristic, complemented
92#5210C2211yescharacteristic, complemented
93C4×#217C2211yescharacteristic, complemented
94C4×#217C2211yescharacteristic, complemented
95#4990C2211yescharacteristic
96#4990C2211yescharacteristic
97#4990C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic
106#4980C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4975C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117Dic3×C4⋊C4C2211yescharacteristic, complemented
118#4973C2211yescharacteristic, complemented
119#4972C2211yescharacteristic, complemented
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic, complemented
130#4950C2211yescharacteristic
131#4950C2211yescharacteristic, complemented
132#4946C2211yescharacteristic
133#4946C2211yescharacteristic, complemented
134#4945C2211yescharacteristic
135#4945C2211yescharacteristic
136#4945C2211yescharacteristic
137#4945C2211yescharacteristic, complemented
138#4944C2211yescharacteristic
139#4944C2211yescharacteristic
140#4944C2211yescharacteristic
141#4944C2211yescharacteristic, complemented
142#4944C2211yescharacteristic, complemented
143#4944C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4944C2211yescharacteristic, complemented
146#4943C2211yescharacteristic, complemented
147#4942C2211yescharacteristic, complemented
148Dic3×C22⋊C4C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic
150Dic3×C22⋊C4C2211yescharacteristic, complemented
151#4940C2211yescharacteristic
152#4940C2211yescharacteristic
153#4940C2211yescharacteristic
154C4×(C2×D3)⋊C4C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×(C2×D3)⋊C4C2211yescharacteristic
158C4×C4⋊Dic3C2211yescharacteristic, complemented
159#4933C2211yescharacteristic, complemented
160#4933C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162#4932C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4670C2211yescharacteristic
166#4669C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175D3×#95C2211yescharacteristic
176D3×#95C2211yescharacteristic
177#4655C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4651C2211yescharacteristic, complemented
183#4651C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4648C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189C2×#538—31no—
190#2383—31no—
191#2383—31no—
192#2377—31no—
193#2377—31no—
194#2373—31no—
195#2373—31no—
196#2361—31no—
197#2361D311yescharacteristic, complemented
198#2358—31no—
199#2358—31no—
200#2358—31no—
201#2358—31no—
202#2353—31no—
203#2353—31no—
204D4×C4⋊C4—31no—
205D4×C4⋊C4—31no—
206#2337—31no—
207#2337—31no—
208#2335—31no—
209#2335—31no—
210#2329—31no—
211#2326—31no—
212#2326—31no—
213#2325—31no—
214#2322—31no—
215#2322—31no—
216#2315—31no—
217C4×C22⋊Q8—31no—
218C4×#121—31no—
219C2×#388—31no—
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#121C2×C418yescomplemented
246C3×C4×D4—42no—
247C3×C4×D4—42no—
248C3×C4×D4—42no—
249C2×C3×C4⋊C4—42no—
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939C2×C418yescomplemented
288#938C2×C418yescomplemented
289#937C2×C418yescomplemented
290#937C2×C418yescomplemented
291#936C2×C418yescomplemented
292#935C2×C418yescomplemented
293#929C2×C418yescomplemented
294C4×#67—42no—
295C4×#67—42no—
296C4×#67—42no—
297C4×#67—42no—
298C4×#67C2×C418yescomplemented
299C2×(C2×D3)⋊C4—42no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×Dic3⋊C4—42no—
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#898C2×C418yescomplemented
355#896C2×C418yescomplemented
356D3×C4⋊C4—42no—
357#885C2×C418yescomplemented
358#67⋊C4—42no—
359#67⋊C4—42no—
360#67⋊C4C2×C418yescomplemented
361D3×C22⋊C4—42no—
362D3×C22⋊C4—42no—
363D3×C22⋊C4—42no—
364D3×C22⋊C4C2×C418yescomplemented
365#879C2×C418yescomplemented
366C42×D3—42no—
367C4×Dic6—42no—
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408#538—316no—
409C2×#126—31no—
410C2×#126—31no—
411C2×#124—31no—
412C2×#124—31no—
413C2×#123—31no—
414C2×#123—31no—
415C2×C22⋊Q8—31no—
416C2×#121—31no—
417C2×#121—31no—
418C2×#121C2×D311yescharacteristic
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×Q8—31no—
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×C4×D4—31no—
428C2×C4×D4—31no—
429C2×C4×D4—31no—
430C2×C4×D4C2×D311yescharacteristic
431C2×C4×D4C2×D311yescharacteristic
432C2×C4×D4C2×D311yescharacteristic, complemented
433C22×C4⋊C4—31no—
434C22×C4⋊C4—31no—
435C22×C4⋊C4C2×D311yescharacteristic, complemented
436C22×C22⋊C4—31no—
437C22×C22⋊C4—31no—
438C22×C22⋊C4—31no—
439C22×C22⋊C4—31no—
440C22×C22⋊C4—31no—
441C22×C42—31no—
442#391—31no—
443#391—31no—
444#391—31no—
445#390—31no—
446#390—31no—
447#390—31no—
448#390—31no—
449#390C2×D311yescharacteristic
450#389—31no—
451#389—31no—
452#389—31no—
453#389—31no—
454#389—31no—
455#389—31no—
456#389—31no—
457#389C2×D311yescharacteristic, complemented
458#388—31no—
459#388—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388C2×D311yescharacteristic
481#388C2×D311yescharacteristic, complemented
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386C2×D311yescharacteristic
507#386C2×D311yescharacteristic, complemented
508#385—31no—
509#385—31no—
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385C2×D311yescharacteristic
529#385C2×D311yescharacteristic, complemented
530#384—31no—
531#384—31no—
532#383—31no—
533#383—31no—
534#381—31no—
535#381—31no—
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊C4C2×D311yescharacteristic, complemented
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4C2×D311yescharacteristic, complemented
560#376—31no—
561#376—31no—
562C2×#95—31no—
563C2×#95—31no—
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3C22×C414yes—
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×D4—41no—
577C2×C3×D4—41no—
578C2×C3×D4—41no—
579C2×C3×D4—41no—
580C2×C3×D4—41no—
581C2×C3×D4—41no—
582C2×C3×D4C22×C414yes—
583C2×C3×D4C22×C414yes—
584C2×C3×D4C22×C414yes—
585C22×C3×C4—22no—
586C22×C3×C4—22no—
587C22×C3×C4—41no—
588C22×C3×C4—41no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C22×C414yes—
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67C22×C414yes—
621C2×#67C22×C414yes—
622C2×#67C22×C414yes—
623C2×#67C22×C414yes—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3C22×C414yes—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—41no—
654C2×C4×D3—41no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3C22×C414yes—
670C2×C4×D3C22×C414yes—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C2×Dic6C22×C414yes—
674C3×C4⋊C4—22no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4C22×C414yes—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4C22×C414yes—
690C3×C22⋊C4C22×C414yes—
691C3×C42—22no—
692C3×C42—22no—
693C3×C42—41no—
694C3×C42—41no—
695#217—41no—
696#217—41no—
697#217—41no—
698#217—41no—
699#217—41no—
700#217—41no—
701#217—41no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217C22×C414yes—
706#217C22×C414yes—
707#217C22×C414yes—
708#217C22×C414yes—
709#217C22×C414yes—
710#217C22×C414yes—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4C22×C414yes—
722(C2×D3)⋊C4C22×C414yes—
723(C2×D3)⋊C4C22×C414yes—
724(C2×D3)⋊C4C22×C414yes—
725(C2×D3)⋊C4C22×C414yes—
726(C2×D3)⋊C4C22×C414yes—
727C4⋊Dic3—41no—
728C4⋊Dic3—41no—
729C4⋊Dic3—41no—
730C4⋊Dic3—41no—
731C4⋊Dic3C22×C414yes—
732Dic3⋊C4—22no—
733Dic3⋊C4—22no—
734Dic3⋊C4—41no—
735Dic3⋊C4—41no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4C22×C414yes—
747Dic3⋊C4C22×C414yes—
748Dic3⋊C4C22×C414yes—
749Dic3⋊C4C22×C414yes—
750C4×Dic3—22no—
751C4×Dic3—22no—
752C4×Dic3—41no—
753C4×Dic3—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C4×Dic3—41no—
761C4×Dic3—41no—
762C4×Dic3C22×C414yes—
763C4×Dic3C22×C414yes—
764C25—31no—
765C22×Q8—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4C22×D311yescharacteristic
771C22×D4C22×D311yescharacteristic
772C22×D4C22×D311yescharacteristic
773C23×C4—31no—
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786C23×C4C22×D311yescharacteristic
787C23×C4C22×D311yescharacteristic
788C23×C4C22×D311yescharacteristic
789#126—38no—
790#126—38no—
791#124—38no—
792#124—38no—
793#123—38no—
794#123—38no—
795C22⋊Q8—38no—
796#121—38no—
797#121—38no—
798#121C4×D318yescomplemented
799#120—38no—
800#120—38no—
801C4×Q8—122no—
802C4×D4—38no—
803C4×D4—38no—
804C4×D4—42no—
805C4×D4—42no—
806C4×D4—42no—
807C4×D4—122no—
808C4×D4—122no—
809C4×D4—122no—
810C4×D4—122no—
811C4×D4—122no—
812C4×D4—122no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4—122no—
838C2×C4⋊C4—122no—
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C4⋊C4C22×D311yescharacteristic
841C2×C4⋊C4C22×D311yescharacteristic
842C2×C4⋊C4C22×D311yescharacteristic
843C2×C4⋊C4C22×D311yescharacteristic
844C2×C4⋊C4C22×D311yescharacteristic
845C2×C4⋊C4C22×D311yescharacteristic
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—38no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—122no—
880C2×C22⋊C4—122no—
881C2×C22⋊C4—122no—
882C2×C22⋊C4—122no—
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42—31no—
901C2×C42—31no—
902C2×C42—31no—
903C2×C42—31no—
904C2×C42—31no—
905C2×C42—31no—
906C2×C42—31no—
907C2×C42—122no—
908C2×C42C22×D311yescharacteristic
909C2×C42C22×D311yescharacteristic
910C2×C42C22×D311yescharacteristic
911C2×C42C22×D311yescharacteristic
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3C23×C412yes—
971C23×C3C23×C412yes—
972C23×C3C23×C412yes—
973C23×C3C2511yescharacteristic
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—28no—
985C22×D3—44no—
986C22×D3—44no—
987C22×D3—82no—
988C22×D3—82no—
989C22×D3—82no—
990C22×D3—82no—
991C22×D3C23×C412yes—
992C22×D3C23×C412yes—
993C22×D3H(5,𝔽2)12yes—
994C22×D32−1+412yes—
995C3×D4—44no—
996C3×D4—44no—
997C3×D4—44no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—44no—
1029C2×C3×C4—82no—
1030C2×C3×C4—82no—
1031C2×C3×C4—82no—
1032C2×C3×C4—82no—
1033C2×C3×C4C23×C412yes—
1034C2×C3×C4C23×C412yes—
1035C2×C3×C4C23×C412yes—
1036C2×C3×C4C23×C412yes—
1037C2×C3×C4H(5,𝔽2)12yes—
1038C2×C3×C4H(5,𝔽2)12yes—
1039#67—28no—
1040#67—28no—
1041#67—44no—
1042#67—44no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—44no—
1080C2×Dic3—82no—
1081C2×Dic3—82no—
1082C2×Dic3C23×C412yes—
1083C2×Dic3C23×C412yes—
1084C2×Dic3C23×C412yes—
1085C2×Dic3C23×C412yes—
1086C2×Dic3C23×C412yes—
1087C2×Dic3C23×C412yes—
1088C4×D3—44no—
1089C4×D3—44no—
1090C4×D3—44no—
1091C4×D3—44no—
1092C4×D3—82no—
1093C4×D3—82no—
1094C4×D3—82no—
1095C4×D3—82no—
1096Dic6—44no—
1097C24—31no—
1098C24—31no—
1099C24—34no—
1100C24—62no—
1101C24—62no—
1102C24—121no—
1103C24—121no—
1104C24—121no—
1105C24—121no—
1106C24C23×D311yescharacteristic
1107C24C23×D311yescharacteristic
1108C24C23×D311yescharacteristic
1109C2×Q8—34no—
1110C2×Q8—121no—
1111C2×Q8—121no—
1112C2×D4—34no—
1113C2×D4—34no—
1114C2×D4—34no—
1115C2×D4—34no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—62no—
1123C2×D4—62no—
1124C2×D4—62no—
1125C2×D4—62no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C2×D4—121no—
1129C2×D4—121no—
1130C2×D4C2×C4×D314yes—
1131C2×D4C2×C4×D314yes—
1132C2×D4C2×C4×D314yes—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—31no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—31no—
1140C22×C4—31no—
1141C22×C4—34no—
1142C22×C4—34no—
1143C22×C4—34no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—121no—
1171C22×C4—121no—
1172C22×C4—121no—
1173C22×C4—121no—
1174C22×C4—121no—
1175C22×C4—121no—
1176C22×C4—121no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4C2×C4×D314yes—
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—34no—
1210C4⋊C4—34no—
1211C4⋊C4—34no—
1212C4⋊C4—34no—
1213C4⋊C4—34no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4C2×C4×D314yes—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—34no—
1242C22⋊C4—34no—
1243C22⋊C4—34no—
1244C22⋊C4—34no—
1245C22⋊C4—34no—
1246C22⋊C4—34no—
1247C22⋊C4—34no—
1248C22⋊C4—34no—
1249C22⋊C4—34no—
1250C22⋊C4—34no—
1251C22⋊C4—34no—
1252C22⋊C4—34no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4C2×C4×D314yes—
1278C22⋊C4C2×C4×D314yes—
1279C42—22no—
1280C42—22no—
1281C42—34no—
1282C42—34no—
1283C42—41no—
1284C42—41no—
1285C42—62no—
1286C42—62no—
1287C42—121no—
1288C42—121no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C22×C3—22no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3C24×C411yescharacteristic
1319C22×C3C2×H(5,𝔽2)11yescharacteristic
1320C22×C3C2×H(5,𝔽2)11yescharacteristic
1321C22×C3C2×H(5,𝔽2)11yescharacteristic
1322C22×C3C2×2−1+411yescharacteristic
1323C22×C3#58511yescharacteristic
1324C22×C3#58511yescharacteristic
1325C2×D3—22no—
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—88no—
1339C2×D3#52014yes—
1340C3×C4—22no—
1341C3×C4—22no—
1342C3×C4—22no—
1343C3×C4—22no—
1344C3×C4—22no—
1345C3×C4—22no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352Dic3—22no—
1353Dic3—22no—
1354Dic3—22no—
1355Dic3—22no—
1356Dic3—22no—
1357Dic3—22no—
1358Dic3—41no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—32no—
1385C23—32no—
1386C23—32no—
1387C23—32no—
1388C23—68no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—124no—
1400C23—124no—
1401C23—242no—
1402C23—242no—
1403C23—242no—
1404C23—242no—
1405C23C22×C4×D312yes—
1406C23C22×C4×D312yes—
1407C23C22×C4×D312yes—
1408C23C24×D311yescharacteristic
1409Q8—124no—
1410D4—44no—
1411D4—44no—
1412D4—44no—
1413D4—68no—
1414D4—68no—
1415D4—124no—
1416D4—124no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—32no—
1448C2×C4—32no—
1449C2×C4—32no—
1450C2×C4—32no—
1451C2×C4—32no—
1452C2×C4—32no—
1453C2×C4—44no—
1454C2×C4—61no—
1455C2×C4—61no—
1456C2×C4—61no—
1457C2×C4—61no—
1458C2×C4—61no—
1459C2×C4—61no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—124no—
1495C2×C4—124no—
1496C2×C4—124no—
1497C2×C4—124no—
1498C2×C4—124no—
1499C2×C4—242no—
1500C2×C4—242no—
1501C2×C4—242no—
1502C2×C4—242no—
1503C2×C4—242no—
1504C2×C4—242no—
1505C2×C4C22×C4×D312yes—
1506C2×C4C22×C4×D312yes—
1507C2×C4C22×C4×D312yes—
1508C2×C4C22×C4×D312yes—
1509C2×C4#100412yes—
1510C2×C4#100412yes—
1511C2×C3—42no—
1512C2×C3—42no—
1513C2×C3—42no—
1514C2×C3C2×#52011yescharacteristic
1515C2×C3C4×H(5,𝔽2)11yescharacteristic
1516C2×C3C4×H(5,𝔽2)11yescharacteristic
1517C2×C3#353511yescharacteristic
1518C2×C3#353711yescharacteristic
1519C2×C3#356011yescharacteristic
1520C2×C3#356111yescharacteristic
1521D3—24no—
1522D3—42no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—34no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—62no—
1553C22—62no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—248no—
1559C22C23×C4×D311yescharacteristic
1560C22C2×#100411yescharacteristic
1561C22C2×#100411yescharacteristic
1562C22#596411yescharacteristic
1563C22#596411yescharacteristic
1564C22D3×H(5,𝔽2)11yescharacteristic
1565C22D3×2−1+411yescharacteristic
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—62no—
1579C4—62no—
1580C4—62no—
1581C4—62no—
1582C4—62no—
1583C4—62no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C3#3442611yescharacteristic, complemented, Sylow
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—64no—
1597C2—122no—
1598C2C4×#100411yescharacteristic
1599C2C4×#100411yescharacteristic
1600C2D3×#52011yescharacteristic
1601C2#8662311yescharacteristic
1602C2#8668911yescharacteristic
1603C2#8673111yescharacteristic
1604C2#8692011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2361C2
socle, cosocleC23×C3C25
prime radicalC2×#5613C2
hypercenter#2361D3
hypocenterC3#34426
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C3×#2361C2semidirect
3. #82639C2semidirect
4. #82398C2semidirect
5. #82398C2semidirect
6. C4×#938C2semidirect
7. #82340C2semidirect
8. #82328C2semidirect
9. #82326C2semidirect
10. C4⋊C4×#67C2semidirect
11. #82158C2semidirect
12. #76432C2semidirect
13. #76300C2semidirect
14. #76199C2semidirect
15. #75994C2semidirect
16. #75835C2semidirect
17. D3×#388C2semidirect
18. #75486C2semidirect
19. #75462C2semidirect
20. #74880C2semidirect
21. #74877C2semidirect
22. #74683C2semidirect
23. #74671C2semidirect
24. #74591C2semidirect
25. #74403C2semidirect
26. #74393C2semidirect
27. #74391C2semidirect
28. C4×#896C2semidirect
29. #73666C2semidirect
30. #73576C2semidirect
31. #73451C2semidirect
36. C2×C3×C4×D4C22semidirect
37. C22×C3×C4⋊C4C22semidirect
51. C22×Dic3⋊C4C22semidirect
52. #5613C4semidirect
66. C2×C4×Dic6C22semidirect
68. C3×#389C22semidirect
70. C3×#388C22semidirect
72. C3×#386C22semidirect
74. C3×#385C22semidirect
75. C3×C4×C4⋊C4C22semidirect
76. C3×C4×C22⋊C4C22semidirect
78. #5221C22semidirect
82. #5220C22semidirect
85. #5212C22semidirect
86. #5211C22semidirect
90. #5210C22semidirect
91. #5210C22semidirect
92. #5210C22semidirect
93. C4×#217C22semidirect
94. C4×#217C22semidirect
106. #4980C22semidirect
107. #4980C22semidirect
108. #4978C22semidirect
109. #4978C22semidirect
110. #4976C22semidirect
111. #4976C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4975C22semidirect
116. #4975C22semidirect
117. Dic3×C4⋊C4C22semidirect
118. #4973C22semidirect
119. #4972C22semidirect
129. #4951C22semidirect
131. #4950C22semidirect
133. #4946C22semidirect
137. #4945C22semidirect
141. #4944C22semidirect
142. #4944C22semidirect
143. #4944C22semidirect
144. #4944C22semidirect
145. #4944C22semidirect
146. #4943C22semidirect
147. #4942C22semidirect
150. Dic3×C22⋊C4C22semidirect
158. C4×C4⋊Dic3C22semidirect
159. #4933C22semidirect
160. #4933C22semidirect
161. #4933C22semidirect
162. #4932C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. C4×Dic3⋊C4C22semidirect
177. #4655C22semidirect
178. #4655C22semidirect
179. #4654C22semidirect
180. #4653C22semidirect
181. #4652C22semidirect
182. #4651C22semidirect
183. #4651C22semidirect
184. #4649C22semidirect
185. #4648C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
197. #2361D3semidirect
245. C3×#121C2×C4semidirect
287. #939C2×C4semidirect
288. #938C2×C4semidirect
289. #937C2×C4semidirect
290. #937C2×C4semidirect
291. #936C2×C4semidirect
292. #935C2×C4semidirect
293. #929C2×C4semidirect
298. C4×#67C2×C4semidirect
354. #898C2×C4semidirect
355. #896C2×C4semidirect
357. #885C2×C4semidirect
360. #67⋊C4C2×C4semidirect
364. D3×C22⋊C4C2×C4semidirect
365. #879C2×C4semidirect
432. C2×C4×D4C2×D3semidirect
435. C22×C4⋊C4C2×D3semidirect
457. #389C2×D3semidirect
481. #388C2×D3semidirect
507. #386C2×D3semidirect
529. #385C2×D3semidirect
547. C4×C4⋊C4C2×D3semidirect
559. C4×C22⋊C4C2×D3semidirect
798. #121C4×D3semidirect
1592. C3#34426semidirect

Maximal subgroups

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

subgroupindex
C2×#56132
C3×#23612
#826392
#823982
C4×#9382
#823402
#823282
#823262
C4⋊C4×#672
#821582
#764322
#763002
#761992
#759942
#758352
D3×#3882
#754862
#754622
#748802
#748772
#746832
#746712
#745912
#744032
#743932
#743912
C4×#8962
#736662
#735762
#734512
#344263