Finite Group Databasebeta

← #11633391

Subgroups — #11633391

Order 768.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5690C211yesmaximal, characteristic, complemented
2C22×#896C211yesmaximal, characteristic, complemented
3C3×#2473C211yesmaximal, characteristic, complemented
4#83069C211yesmaximal, characteristic, complemented
5#82194C211yesmaximal, characteristic, complemented
6#78344C211yesmaximal, characteristic, complemented
7#78148C211yesmaximal, characteristic, complemented
8#77981C211yesmaximal, characteristic, complemented
9#77975C211yesmaximal, characteristic, complemented
10#77958C211yesmaximal, characteristic, complemented
11#77765C211yesmaximal, characteristic, complemented
12#77742C211yesmaximal, characteristic, complemented
13#77742C211yesmaximal, characteristic, complemented
14#76244C211yesmaximal, characteristic, complemented
15#76059C211yesmaximal, characteristic, complemented
16#75394C211yesmaximal, characteristic, complemented
17#75322C211yesmaximal, characteristic, complemented
18#74982C211yesmaximal, characteristic, complemented
19#74965C211yesmaximal, characteristic, complemented
20#74607C211yesmaximal, characteristic, complemented
21#74596C211yesmaximal, characteristic
22#74443C211yesmaximal, characteristic, complemented
23#74416C211yesmaximal, characteristic, complemented
24#74413C211yesmaximal, characteristic, complemented
25#74405C211yesmaximal, characteristic, complemented
26#74393C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic
28D3×#380C211yesmaximal, characteristic, complemented
29#73889C211yesmaximal, characteristic, complemented
30#73577C211yesmaximal, characteristic
31C22⋊C4×Dic6C211yesmaximal, characteristic, complemented
32#59016—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C22×C3×C4⋊C4C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C2×#924C2211yescharacteristic
41C22×Dic3⋊C4C2211yescharacteristic
42C22×Dic3⋊C4C2211yescharacteristic
43#5690—28no—
44C2×#897C2211yescharacteristic
45C2×#897C2211yescharacteristic, complemented
46C2×#896—28no—
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic
49C2×#896C2211yescharacteristic
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic
56C2×#896C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#896C2211yescharacteristic, complemented
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic, complemented
65C2×#890C2211yescharacteristic, complemented
66C2×#888C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic
74C2×C4×Dic6C2211yescharacteristic, complemented
75C2×C4×Dic6C2211yescharacteristic, complemented
76C3×#400C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#398C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#380C2211yescharacteristic
88C3×C4×C22⋊C4C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5212C2211yescharacteristic
92#5212C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4993C2211yescharacteristic
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4988C2211yescharacteristic
107#4987C2211yescharacteristic
108#4987C2211yescharacteristic
109#4987C2211yescharacteristic
110#4987C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4981C2211yescharacteristic, complemented
118#4979C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4979C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4975C2211yescharacteristic, complemented
124#4975C2211yescharacteristic, complemented
125#4973C2211yescharacteristic, complemented
126#4972C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4955C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic
131#4946C2211yescharacteristic
132#4942C2211yescharacteristic
133#4942C2211yescharacteristic
134#4942C2211yescharacteristic
135Dic3×C22⋊C4C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137#4940C2211yescharacteristic
138#4939C2211yescharacteristic
139C4×(C2×D3)⋊C4C2211yescharacteristic
140#4929C2211yescharacteristic, complemented
141#4929C2211yescharacteristic, complemented
142#4677C2211yescharacteristic
143#4676C2211yescharacteristic
144#4676C2211yescharacteristic, complemented
145#4673C2211yescharacteristic
146#4673C2211yescharacteristic
147#4673C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4670C2211yescharacteristic
150#4669C2211yescharacteristic
151#4668C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic, complemented
156#4667C2211yescharacteristic
157#4667C2211yescharacteristic
158#4667C2211yescharacteristic
159#4667C2211yescharacteristic, complemented
160#4667C2211yescharacteristic, complemented
161#4666C2211yescharacteristic
162#4666C2211yescharacteristic
163#4666C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170D3×#95C2211yescharacteristic
171D3×#95C2211yescharacteristic
172#4661C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4657C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4656C2211yescharacteristic, complemented
177#4655C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4649C2211yescharacteristic, complemented
180#4647C2211yescharacteristic, complemented
181#4647C2211yescharacteristic, complemented
182#4647C2211yescharacteristic, complemented
183#4646C2211yescharacteristic, complemented
184#4646C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C22×C22⋊Q8—31no—
192#2704—31no—
193#2704—31no—
194#2692—31no—
195#2692—31no—
196#2549—31no—
197#2549—31no—
198#2538—31no—
199#2502—31no—
200#2492—31no—
201#2473—31no—
202#2473D311yescharacteristic, complemented
203#2450—31no—
204#2450—31no—
205#2440—31no—
206#2437—31no—
207#2437—31no—
208#2423—31no—
209#2417—31no—
210#2417—31no—
211#2417—31no—
212#2417—31no—
213#2409—31no—
214#2360—31no—
215#2358—31no—
216#2358—31no—
217D4×C4⋊C4—31no—
218Q8×C22⋊C4—31no—
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×C4×D3—24no—
232C22×C4×D3—24no—
233C22×C4×D3—42no—
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
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×C4×D3C2311yescharacteristic
245C22×Dic6—24no—
246C22×Dic6—24no—
247C22×Dic6—42no—
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#125—24no—
255C2×C3×C4⋊C4—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C4×#67—42no—
280C2×(C2×D3)⋊C4—24no—
281C2×(C2×D3)⋊C4—24no—
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319#924—42no—
320C2×Dic3⋊C4—24no—
321C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352#897—24no—
353#897—24no—
354#896—24no—
355#896—24no—
356#896—24no—
357#896—24no—
358#896—24no—
359#896—24no—
360#896—24no—
361#896—24no—
362#896—24no—
363#896—24no—
364#896—42no—
365#896D418yescomplemented
366#893—24no—
367#893—24no—
368#893—42no—
369D3×C4⋊C4—24no—
370D3×C4⋊C4—24no—
371D3×C4⋊C4—42no—
372#890—24no—
373#888—24no—
374#882Q818yescomplemented
375#67⋊C4—24no—
376#67⋊C4—42no—
377D3×C22⋊C4—42no—
378D3×C22⋊C4—42no—
379#878—42no—
380C4×D12—24no—
381C4×Dic6—24no—
382C4×Dic6—42no—
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
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
421C23×Q8—31no—
422C24×C4—31no—
423#554—68no—
424C2×C4⋊Q8—31no—
425C2×#125—31no—
426C2×#125C2×D311yescharacteristic, complemented
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—68no—
444C2×#120—31no—
445C2×C4×Q8—31no—
446C2×C4×Q8—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C22×C4⋊C4—31no—
455C22×C4⋊C4—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4C2×D311yescharacteristic
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400C2×D311yescharacteristic, complemented
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398C2×D311yescharacteristic, complemented
478#398C2×D311yescharacteristic, complemented
479#398C2×D311yescharacteristic, complemented
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395—31no—
491#395—31no—
492#393—31no—
493#393—31no—
494#393—31no—
495#393—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#391—31no—
501#391—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389C2×D311yescharacteristic, complemented
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#387—31no—
521#387—31no—
522#387C2×D311yescharacteristic, complemented
523#387C2×D311yescharacteristic, complemented
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385C2×D311yescharacteristic
547#385C2×D311yescharacteristic
548#385C2×D311yescharacteristic
549#385C2×D311yescharacteristic
550#384—31no—
551#384—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380C2×D311yescharacteristic
567#379—31no—
568C4×C4⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4C2×D311yescharacteristic
576C2×#95—31no—
577C2×#95—31no—
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3C2×Q814yes—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
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×#67C2×Q814yes—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—22no—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3#4114yes—
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12C2×Q814yescomplemented
642C2×D12C2×Q814yescomplemented
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
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—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—416no—
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×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3C2×D414yes—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—416no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6C2×D414yes—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4C2×D414yes—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4C2×Q814yes—
714C3×C42—22no—
715C3×C42—41no—
716#217—22no—
717#217—22no—
718#217—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4C2×D414yes—
743(C2×D3)⋊C4C2×D414yes—
744(C2×D3)⋊C4C2×Q814yescomplemented
745(C2×D3)⋊C4C2×Q814yescomplemented
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4C2×D414yes—
778Dic3⋊C4C2×D414yes—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—31no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×Q8—64no—
794C22×Q8—64no—
795C22×Q8—122no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—64no—
814C23×C4—64no—
815C23×C4—122no—
816C23×C4C22×D311yescharacteristic
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819C4⋊Q8—64no—
820#125—24no—
821#125—64no—
822C22⋊Q8—38no—
823C22⋊Q8—64no—
824C22⋊Q8—64no—
825C22⋊Q8—64no—
826C22⋊Q8—64no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—122no—
836C22⋊Q8—122no—
837C22⋊Q8—122no—
838#120—38no—
839C4×Q8—64no—
840C4×Q8—122no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—64no—
844C4×D4—64no—
845C4×D4—122no—
846C4×D4—122no—
847C4×D4—122no—
848C2×C4⋊C4—24no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—64no—
883C2×C4⋊C4—64no—
884C2×C4⋊C4—64no—
885C2×C4⋊C4—64no—
886C2×C4⋊C4—122no—
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—64no—
932C2×C22⋊C4—64no—
933C2×C22⋊C4—122no—
934C2×C22⋊C4—122no—
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42C22×D311yescharacteristic
947C2×C42C22×D311yescharacteristic
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3C22×Q812yes—
991C23×C3C2×#4112yes—
992C23×C3H(5,𝔽2)12yes—
993C23×C3C2511yescharacteristic
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—28no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—28no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3C22×D412yes—
1018C22×D3C22×Q812yes—
1019C22×D3C22×Q812yes—
1020C22×D3C22×Q812yes—
1021C22×D32−1+412yes—
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—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C22×Q812yes—
1066C2×C3×C4C22×Q812yes—
1067#67—28no—
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—28no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—44no—
1102C2×Dic3—44no—
1103C2×Dic3C22×D412yes—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C22×Q812yes—
1107C2×Dic3C2×#4112yes—
1108C2×Dic3C2×#4112yes—
1109C2×Dic3H(5,𝔽2)12yes—
1110D12—28no—
1111D12—44no—
1112C4×D3—28no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—82no—
1118C4×D3—82no—
1119C4×D3—82no—
1120C4×D3—82no—
1121C4×D3—82no—
1122C4×D3—82no—
1123Dic6—28no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—44no—
1127Dic6—82no—
1128Dic6—82no—
1129C24—31no—
1130C24—31no—
1131C24—31no—
1132C24—34no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—121no—
1138C24—121no—
1139C24C23×D311yescharacteristic
1140C2×Q8—34no—
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—62no—
1149C2×Q8—62no—
1150C2×Q8—62no—
1151C2×Q8—62no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×Q8—1216no—
1159C2×D4—34no—
1160C2×D4—34no—
1161C2×D4—34no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—31no—
1175C22×C4—34no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—34no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—1216no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—34no—
1256C4⋊C4—34no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4D3×D414yes—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—34no—
1298C22⋊C4—34no—
1299C22⋊C4—34no—
1300C22⋊C4—34no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4D3×Q814yes—
1328C42—22no—
1329C42—41no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—121no—
1335C42—121no—
1336C42—121no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3#55414yescomplemented
1344C22×C3C23×D411yescharacteristic
1345C22×C3C23×Q811yescharacteristic
1346C22×C3C22×#4111yescharacteristic
1347C22×C3C2×H(5,𝔽2)11yescharacteristic
1348C22×C3C2×H(5,𝔽2)11yescharacteristic
1349C22×C3C2×2−1+411yescharacteristic
1350C22×C3#58511yescharacteristic
1351C2×D3—22no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
1363C2×D3—416no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3D4×Q814yes—
1373C3×C4—22no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3#54614yes—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—32no—
1405C23—32no—
1406C23—32no—
1407C23—32no—
1408C23—32no—
1409C23—68no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—68no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—124no—
1428C23—124no—
1429C23—124no—
1430C23—124no—
1431C23—124no—
1432C23C2×D3×Q812yes—
1433C23D3×#4112yes—
1434C23#100912yes—
1435C23C24×D311yescharacteristic
1436Q8—68no—
1437Q8—124no—
1438Q8—124no—
1439Q8—124no—
1440Q8—242no—
1441Q8—242no—
1442D4—68no—
1443D4—68no—
1444D4—124no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—32no—
1483C2×C4—32no—
1484C2×C4—32no—
1485C2×C4—32no—
1486C2×C4—32no—
1487C2×C4—32no—
1488C2×C4—32no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—68no—
1493C2×C4—68no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—242no—
1533C2×C4—242no—
1534C2×C4—242no—
1535C2×C4—242no—
1536C2×C4—242no—
1537C2×C4—242no—
1538C2×C4C2×D3×D412yes—
1539C2×C4C2×D3×D412yes—
1540C2×C4C2×D3×D412yes—
1541C2×C4C2×D3×Q812yes—
1542C2×C4C2×D3×Q812yes—
1543C2×C3—24no—
1544C2×C3C2×#54611yescharacteristic
1545C2×C3C2×D4×Q811yescharacteristic
1546C2×C3C2×#55411yescharacteristic
1547C2×C3#348811yescharacteristic
1548C2×C3#349511yescharacteristic
1549C2×C3#350111yescharacteristic
1550C2×C3#353611yescharacteristic
1551D3—24no—
1552D3—42no—
1553D3—42no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—34no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—1216no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22#569014yescomplemented
1583C22C22×D3×D411yescharacteristic
1584C22C22×D3×Q811yescharacteristic
1585C22C2×D3×#4111yescharacteristic
1586C22C2×#100911yescharacteristic
1587C22#596411yescharacteristic
1588C22D3×H(5,𝔽2)11yescharacteristic
1589C22D3×2−1+411yescharacteristic
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—34no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—62no—
1606C4—62no—
1607C4—62no—
1608C4—62no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C3#5901611yescharacteristic, complemented, Sylow
1618C2—24no—
1619C2—64no—
1620C2—122no—
1621C2—122no—
1622C2#8604111yescharacteristic
1623C2C2×#569011yescharacteristic
1624C2#8643411yescharacteristic
1625C2D3×#54611yescharacteristic
1626C2D3×D4×Q811yescharacteristic
1627C2#8682911yescharacteristic
1628C2#8694911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2473C2
prime radicalC2×#882C22
hypercenter#2473D3
hypocenterC3#59016
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#5690C2semidirect
2. C22×#896C2semidirect
3. C3×#2473C2semidirect
4. #83069C2semidirect
5. #82194C2semidirect
6. #78344C2semidirect
7. #78148C2semidirect
8. #77981C2semidirect
9. #77975C2semidirect
10. #77958C2semidirect
11. #77765C2semidirect
12. #77742C2semidirect
13. #77742C2semidirect
14. #76244C2semidirect
15. #76059C2semidirect
16. #75394C2semidirect
17. #75322C2semidirect
18. #74982C2semidirect
19. #74965C2semidirect
20. #74607C2semidirect
22. #74443C2semidirect
23. #74416C2semidirect
24. #74413C2semidirect
25. #74405C2semidirect
26. #74393C2semidirect
28. D3×#380C2semidirect
29. #73889C2semidirect
31. C22⋊C4×Dic6C2semidirect
35. C2×C3×#125C22semidirect
45. C2×#897C22semidirect
56. C2×#896C22semidirect
57. C2×#896C22semidirect
58. C2×#896C22semidirect
64. C2×D3×C4⋊C4C22semidirect
65. C2×#890C22semidirect
66. C2×#888C22semidirect
74. C2×C4×Dic6C22semidirect
75. C2×C4×Dic6C22semidirect
76. C3×#400C22semidirect
77. C3×#398C22semidirect
78. C3×#398C22semidirect
79. C3×#398C22semidirect
80. C3×#389C22semidirect
81. C3×#387C22semidirect
82. C3×#387C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
105. #4989C22semidirect
110. #4987C22semidirect
111. #4984C22semidirect
112. #4983C22semidirect
113. #4982C22semidirect
114. #4982C22semidirect
115. #4982C22semidirect
116. #4981C22semidirect
117. #4981C22semidirect
118. #4979C22semidirect
119. #4979C22semidirect
120. #4979C22semidirect
121. #4976C22semidirect
122. #4976C22semidirect
123. #4975C22semidirect
124. #4975C22semidirect
125. #4973C22semidirect
126. #4972C22semidirect
140. #4929C22semidirect
141. #4929C22semidirect
144. #4676C22semidirect
147. #4673C22semidirect
148. #4673C22semidirect
155. #4668C22semidirect
159. #4667C22semidirect
160. #4667C22semidirect
172. #4661C22semidirect
173. #4660C22semidirect
174. #4657C22semidirect
175. #4657C22semidirect
176. #4656C22semidirect
177. #4655C22semidirect
178. #4654C22semidirect
179. #4649C22semidirect
180. #4647C22semidirect
181. #4647C22semidirect
182. #4647C22semidirect
183. #4646C22semidirect
184. #4646C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
202. #2473D3semidirect
365. #896D4semidirect
374. #882Q8semidirect
426. C2×#125C2×D3semidirect
465. #400C2×D3semidirect
477. #398C2×D3semidirect
478. #398C2×D3semidirect
479. #398C2×D3semidirect
515. #389C2×D3semidirect
522. #387C2×D3semidirect
523. #387C2×D3semidirect
641. C2×D12C2×Q8semidirect
642. C2×D12C2×Q8semidirect
744. (C2×D3)⋊C4C2×Q8semidirect
745. (C2×D3)⋊C4C2×Q8semidirect
1343. C22×C3#554semidirect
1582. C22#5690semidirect
1617. C3#59016semidirect

Maximal subgroups

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

subgroupindex
C2×#56902
C22×#8962
C3×#24732
#830692
#821942
#783442
#781482
#779812
#779752
#779582
#777652
#777422
#762442
#760592
#753942
#753222
#749822
#749652
#746072
#745962
#744432
#744162
#744132
#744052
#743932
#743792
D3×#3802
#738892
#735772
C22⋊C4×Dic62
#590163