Finite Group Databasebeta

← #11024705

Subgroups — #11024705

Order 768.

2736 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5634C211yesmaximal, characteristic, complemented
2C22×#878C211yesmaximal, characteristic, complemented
3C3×#2437C211yesmaximal, characteristic, complemented
4#82815C211yesmaximal, characteristic, complemented
5#82781C211yesmaximal, characteristic, complemented
6#82764C211yesmaximal, characteristic, complemented
7C22⋊C4×#67C211yesmaximal, characteristic
8#82110C211yesmaximal, characteristic, complemented
9C2×#4958C211yesmaximal, characteristic
10#78119C211yesmaximal, characteristic, complemented
11#78062C211yesmaximal, characteristic, complemented
12#77436C211yesmaximal, characteristic, complemented
13#77433C211yesmaximal, characteristic, complemented
14#77433C211yesmaximal, characteristic, complemented
15#77372C211yesmaximal, characteristic, complemented
16#76825C211yesmaximal, characteristic, complemented
17#76824C211yesmaximal, characteristic, complemented
18#74621C211yesmaximal, characteristic, complemented
19#74472C211yesmaximal, characteristic, complemented
20#74422C211yesmaximal, characteristic, complemented
21#74421C211yesmaximal, characteristic, complemented
22#74421C211yesmaximal, characteristic, complemented
23#74413C211yesmaximal, characteristic, complemented
24#74405C211yesmaximal, characteristic, complemented
25#74387C211yesmaximal, characteristic, complemented
26#74017C211yesmaximal, characteristic, complemented
27#73957C211yesmaximal, characteristic, complemented
28#73896C211yesmaximal, characteristic, complemented
29#73889C211yesmaximal, characteristic, complemented
30#73850C211yesmaximal, characteristic
31#73846C211yesmaximal, characteristic, complemented
32#37684—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C24×Dic3C2211yescharacteristic
35C23×Dic6C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C2×#946C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×C4⋊Dic3C2211yescharacteristic, complemented
48C2×#924C2211yescharacteristic
49C22×Dic3⋊C4C2211yescharacteristic, complemented
50C22×Dic3⋊C4C2211yescharacteristic, complemented
51#5634—28no—
52C2×#897C2211yescharacteristic, complemented
53C2×#897C2211yescharacteristic, complemented
54C2×#897C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic, complemented
56C2×#896C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#896C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×#878—28no—
65C2×#878C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C2×#878C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic, complemented
77C3×#399C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#385C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic
86C3×#380C2211yescharacteristic, complemented
87C3×#379C2211yescharacteristic
88#5247C2211yescharacteristic
89#5230C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5212C2211yescharacteristic
94#5210C2211yescharacteristic
95#5210C2211yescharacteristic
96C2×C3⋊#95C2211yescharacteristic
97C2×C3⋊#95C2211yescharacteristic
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4984C2211yescharacteristic, complemented
109#4983C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4973C2211yescharacteristic, complemented
123#4973C2211yescharacteristic, complemented
124#4972C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic
133#4958C2211yescharacteristic
134#4958C2211yescharacteristic
135#4958C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4950C2211yescharacteristic
147#4950C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4950C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4946C2211yescharacteristic
155#4946C2211yescharacteristic, complemented
156#4946C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4942C2211yescharacteristic
159#4942C2211yescharacteristic
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163#4942C2211yescharacteristic, complemented
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166#4677C2211yescharacteristic, complemented
167#4676C2211yescharacteristic, complemented
168#4676C2211yescharacteristic, complemented
169#4676C2211yescharacteristic, complemented
170#4673C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4673C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#543—31no—
191C22×C22⋊Q8—31no—
192#2848—31no—
193#2732—31no—
194#2732—31no—
195#2692—31no—
196#2692—31no—
197#2692—31no—
198#2692—31no—
199#2683—31no—
200#2683—31no—
201#2659—31no—
202#2626—31no—
203#2549—31no—
204#2549—31no—
205#2449—31no—
206#2449—31no—
207#2449—31no—
208#2449—31no—
209#2437—31no—
210#2437—31no—
211#2437—31no—
212#2437D311yescharacteristic, complemented
213#2417—31no—
214#2417—31no—
215#2409—31no—
216#2409—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2329—31no—
220C2×#386—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67—42no—
229C22×#67—42no—
230C22×#67Q818yescomplemented
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3—24no—
236C23×Dic3—42no—
237C23×Dic3—42no—
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×Dic6—24no—
252C22×Dic6—42no—
253C22×Dic6—42no—
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C3×C22⋊Q8—24no—
261C3×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4—24no—
272C2×C3×C22⋊C4—42no—
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×#217—24no—
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#946—24no—
299#946—24no—
300C4×#67—42no—
301C4×#67—42no—
302C2×(C2×D3)⋊C4—24no—
303C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×C4⋊Dic3—24no—
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335#924—24no—
336C2×Dic3⋊C4—24no—
337C2×Dic3⋊C4—24no—
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#897—24no—
367#897—24no—
368#897—42no—
369#896—24no—
370#896—24no—
371#896—24no—
372#896—24no—
373#896—42no—
374#67⋊C4—42no—
375#67⋊C4—42no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—24no—
378#878—24no—
379#878—24no—
380#878—24no—
381#878—24no—
382#878—24no—
383#878—24no—
384#878—24no—
385#878—24no—
386#878—42no—
387#878—42no—
388#878—42no—
389#878D418yescomplemented
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
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C23×Q8—31no—
425C23×D4—31no—
426C24×C4—31no—
427#543—68no—
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—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—68no—
452C2×C22⋊Q8C2×D311yescharacteristic
453C2×C22⋊Q8C2×D311yescharacteristic, complemented
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4C2×D311yescharacteristic
467C22×C22⋊C4C2×D311yescharacteristic
468#399—31no—
469#399—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399C2×D311yescharacteristic, complemented
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#398—31no—
481#398—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396C2×D311yescharacteristic, complemented
493#396C2×D311yescharacteristic, complemented
494#395—31no—
495#395—31no—
496#395—31no—
497#395—31no—
498#395—31no—
499#395—31no—
500#395—31no—
501#395—31no—
502#393—31no—
503#393—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393C2×D311yescharacteristic, complemented
508#391—31no—
509#391—31no—
510#391—31no—
511#391—31no—
512#391—31no—
513#391—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#389—31no—
522#389—31no—
523#389—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385C2×D311yescharacteristic
559#385C2×D311yescharacteristic
560#385C2×D311yescharacteristic, complemented
561#385C2×D311yescharacteristic, complemented
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380C2×D311yescharacteristic
572#380C2×D311yescharacteristic, complemented
573#379—31no—
574#379—31no—
575#379—31no—
576#379C2×D311yescharacteristic
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C2×#95—31no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2×Q814yes—
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2×Q814yescomplemented
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C2×C3×Q8—22no—
601C2×C3×Q8—41no—
602C2×C3×Q8—41no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—416no—
636C2×#67C2×Q814yes—
637C2×#67C2×Q814yes—
638C2×#67C2×Q814yescomplemented
639C2×#67C2×Q814yescomplemented
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—41no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—416no—
666C22×Dic3C2×D414yes—
667C22×Dic3C2×Q814yescomplemented
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×Dic6—22no—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C2×Dic6—41no—
706C2×Dic6—41no—
707C2×Dic6—416no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C2×Dic6—41no—
712C2×Dic6C2×D414yescomplemented
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4C2×D414yes—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—41no—
744#217—41no—
745#217C2×D414yes—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3C2×D414yescomplemented
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4C2×D414yescomplemented
799Dic3⋊C4C2×D414yescomplemented
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C4×Dic3—41no—
804C25—31no—
805C25C22×D311yescharacteristic
806C22×Q8—31no—
807C22×Q8—31no—
808C22×Q8—31no—
809C22×Q8—31no—
810C22×Q8—31no—
811C22×Q8—31no—
812C22×Q8—64no—
813C22×Q8—122no—
814C22×Q8—122no—
815C22×Q8C22×D311yescharacteristic
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—38no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—122no—
822C22×D4—122no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—64no—
837C23×C4—122no—
838C23×C4—122no—
839C23×C4C22×D311yescharacteristic
840C23×C4C22×D311yescharacteristic
841C23×C4C22×D311yescharacteristic
842C23×C4C22×D311yescharacteristic
843C22⋊Q8—24no—
844C22⋊Q8—38no—
845C22⋊Q8—42no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851C22⋊Q8—64no—
852C22⋊Q8—64no—
853C22⋊Q8—64no—
854C22⋊Q8—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—64no—
859C22⋊Q8—64no—
860C22⋊Q8—64no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—122no—
864C22⋊Q8—122no—
865C22⋊Q8—122no—
866C22⋊Q8—122no—
867C22⋊Q8—122no—
868C4×D4—122no—
869C4×D4—122no—
870C4×D4—122no—
871C4×D4—122no—
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—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—64no—
907C2×C4⋊C4—64no—
908C2×C4⋊C4—64no—
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C4⋊C4C22×D311yescharacteristic
911C2×C4⋊C4C22×D311yescharacteristic
912C2×C4⋊C4C22×D311yescharacteristic
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C22⋊C4—24no—
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—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—42no—
950C2×C22⋊C4—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4—64no—
953C2×C22⋊C4—64no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95C22×D311yescharacteristic
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—28no—
1016C23×C3—28no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—44no—
1024C23×C3—44no—
1025C23×C3—44no—
1026C23×C3—44no—
1027C23×C3—44no—
1028C23×C3C22×D412yes—
1029C23×C3C22×Q812yes—
1030C23×C3C22×Q812yes—
1031C23×C3C22×Q812yes—
1032C23×C3H(5,𝔽2)12yes—
1033C23×C3H(5,𝔽2)12yes—
1034C23×C32−1+412yes—
1035C23×C3C2511yescharacteristic
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—28no—
1049C22×D3—44no—
1050C22×D3—44no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3C22×Q812yes—
1056C22×D3C22×Q812yes—
1057C3×Q8—82no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—44no—
1093C2×C3×C4—44no—
1094C2×C3×C4—82no—
1095C2×C3×C4—82no—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C22×D412yes—
1098#67—28no—
1099#67—28no—
1100#67—44no—
1101#67—44no—
1102C2×Dic3—28no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—44no—
1139C2×Dic3—44no—
1140C2×Dic3—44no—
1141C2×Dic3—44no—
1142C2×Dic3—44no—
1143C2×Dic3—44no—
1144C2×Dic3—44no—
1145C2×Dic3—44no—
1146C2×Dic3C22×D412yes—
1147C2×Dic3C22×D412yes—
1148C2×Dic3C22×D412yes—
1149C2×Dic3C22×D412yes—
1150C2×Dic3C22×Q812yes—
1151C2×Dic3C22×Q812yes—
1152C2×Dic3H(5,𝔽2)12yes—
1153C4×D3—82no—
1154C4×D3—82no—
1155C4×D3—82no—
1156C4×D3—82no—
1157Dic6—44no—
1158Dic6—44no—
1159Dic6—44no—
1160Dic6—44no—
1161Dic6—82no—
1162Dic6—82no—
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—31no—
1168C24—31no—
1169C24—34no—
1170C24—41no—
1171C24—41no—
1172C24—62no—
1173C24—62no—
1174C24—121no—
1175C24—121no—
1176C24—121no—
1177C24—121no—
1178C24D3×Q814yes—
1179C24C23×D311yescharacteristic
1180C24C23×D311yescharacteristic
1181C24C23×D311yescharacteristic
1182C2×Q8—22no—
1183C2×Q8—34no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×Q8—62no—
1187C2×Q8—62no—
1188C2×Q8—62no—
1189C2×Q8—62no—
1190C2×Q8—62no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—121no—
1194C2×Q8—121no—
1195C2×Q8—121no—
1196C2×Q8—121no—
1197C2×Q8—121no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×Q8—121no—
1203C2×Q8—1216no—
1204C2×D4—34no—
1205C2×D4—34no—
1206C2×D4—34no—
1207C2×D4—34no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—1216no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—34no—
1231C22×C4—34no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
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×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—1216no—
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—34no—
1299C4⋊C4—34no—
1300C4⋊C4—34no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—34no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4D3×D414yes—
1382C42—121no—
1383C42—121no—
1384C42—121no—
1385C42—121no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—416no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3#54314yescomplemented
1407C22×C3D4×Q814yes—
1408C22×C3C23×D411yescharacteristic
1409C22×C3C23×Q811yescharacteristic
1410C22×C3C2×H(5,𝔽2)11yescharacteristic
1411C22×C3C2×H(5,𝔽2)11yescharacteristic
1412C22×C3C2×H(5,𝔽2)11yescharacteristic
1413C22×C3C2×2−1+411yescharacteristic
1414C22×C3#58511yescharacteristic
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—88no—
1430C3×C4—22no—
1431C3×C4—22no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442Dic3—22no—
1443Dic3—22no—
1444Dic3—22no—
1445Dic3—22no—
1446Dic3—22no—
1447Dic3—22no—
1448Dic3—22no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3—41no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—28no—
1465C23—28no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—32no—
1473C23—32no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—68no—
1492C23—124no—
1493C23—124no—
1494C23—242no—
1495C23—242no—
1496C23—242no—
1497C23—242no—
1498C23C2×D3×D412yes—
1499C23#100412yes—
1500C23C2×D3×Q812yes—
1501C23C2×D3×Q812yes—
1502C23C2×D3×Q812yes—
1503C23#100912yes—
1504C23#101012yes—
1505C23C24×D311yescharacteristic
1506Q8—82no—
1507Q8—124no—
1508Q8—124no—
1509Q8—124no—
1510Q8—124no—
1511Q8—242no—
1512Q8—242no—
1513D4—68no—
1514D4—68no—
1515D4—124no—
1516D4—124no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—32no—
1552C2×C4—32no—
1553C2×C4—32no—
1554C2×C4—32no—
1555C2×C4—32no—
1556C2×C4—32no—
1557C2×C4—32no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—68no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—82no—
1597C2×C4—82no—
1598C2×C4—124no—
1599C2×C4—124no—
1600C2×C4—124no—
1601C2×C4—124no—
1602C2×C4—124no—
1603C2×C4—124no—
1604C2×C4—124no—
1605C2×C4—124no—
1606C2×C4—242no—
1607C2×C4—242no—
1608C2×C4—242no—
1609C2×C4—242no—
1610C2×C4C2×D3×D412yes—
1611C2×C4C2×D3×D412yes—
1612C2×C3—24no—
1613C2×C3—24no—
1614C2×C3—42no—
1615C2×C3C2×#54311yescharacteristic
1616C2×C3C2×D4×Q811yescharacteristic
1617C2×C3#348411yescharacteristic
1618C2×C3#348811yescharacteristic
1619C2×C3#350111yescharacteristic
1620C2×C3#353511yescharacteristic
1621C2×C3#353611yescharacteristic
1622D3—42no—
1623D3—42no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—416no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—62no—
1645C22—62no—
1646C22—62no—
1647C22—62no—
1648C22—62no—
1649C22—62no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—248no—
1659C22#563214yes—
1660C22#563414yescomplemented
1661C22C22×D3×D411yescharacteristic
1662C22C2×#100411yescharacteristic
1663C22C22×D3×Q811yescharacteristic
1664C22C2×#100911yescharacteristic
1665C22C2×#101011yescharacteristic
1666C22D3×H(5,𝔽2)11yescharacteristic
1667C22#596611yescharacteristic
1668C4—22no—
1669C4—22no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—62no—
1681C4—62no—
1682C4—62no—
1683C4—62no—
1684C4—62no—
1685C4—62no—
1686C4—62no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C3#3768411yescharacteristic, complemented, Sylow
1695C2—24no—
1696C2—24no—
1697C2—42no—
1698C2—122no—
1699C2—122no—
1700C2C2×#563211yescharacteristic
1701C2C2×#563411yescharacteristic
1702C2#8657411yescharacteristic
1703C2#8660711yescharacteristic
1704C2#8664711yescharacteristic
1705C2#8666211yescharacteristic
1706C2#8680211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2437C2
prime radicalC23×#67C22
hypercenter#2437D3
hypocenterC3#37684
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#5634C2semidirect
2. C22×#878C2semidirect
3. C3×#2437C2semidirect
4. #82815C2semidirect
5. #82781C2semidirect
6. #82764C2semidirect
8. #82110C2semidirect
10. #78119C2semidirect
11. #78062C2semidirect
12. #77436C2semidirect
13. #77433C2semidirect
14. #77433C2semidirect
15. #77372C2semidirect
16. #76825C2semidirect
17. #76824C2semidirect
18. #74621C2semidirect
19. #74472C2semidirect
20. #74422C2semidirect
21. #74421C2semidirect
22. #74421C2semidirect
23. #74413C2semidirect
24. #74405C2semidirect
25. #74387C2semidirect
26. #74017C2semidirect
27. #73957C2semidirect
28. #73896C2semidirect
29. #73889C2semidirect
31. #73846C2semidirect
35. C23×Dic6C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
41. C2×#946C22semidirect
42. C2×#946C22semidirect
47. C22×C4⋊Dic3C22semidirect
49. C22×Dic3⋊C4C22semidirect
50. C22×Dic3⋊C4C22semidirect
52. C2×#897C22semidirect
53. C2×#897C22semidirect
54. C2×#897C22semidirect
55. C2×#896C22semidirect
56. C2×#896C22semidirect
57. C2×#896C22semidirect
58. C2×#896C22semidirect
59. C2×#896C22semidirect
70. C2×#878C22semidirect
71. C2×#878C22semidirect
72. C2×#878C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C2×#878C22semidirect
76. C2×#878C22semidirect
77. C3×#399C22semidirect
78. C3×#396C22semidirect
79. C3×#396C22semidirect
80. C3×#393C22semidirect
83. C3×#385C22semidirect
84. C3×#385C22semidirect
86. C3×#380C22semidirect
89. #5230C22semidirect
90. #5229C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4989C22semidirect
107. #4987C22semidirect
108. #4984C22semidirect
109. #4983C22semidirect
110. #4982C22semidirect
111. #4982C22semidirect
112. #4982C22semidirect
113. #4981C22semidirect
114. #4979C22semidirect
115. #4979C22semidirect
116. #4979C22semidirect
117. #4979C22semidirect
118. #4978C22semidirect
119. #4976C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
122. #4973C22semidirect
123. #4973C22semidirect
124. #4972C22semidirect
125. #4972C22semidirect
147. #4950C22semidirect
148. #4950C22semidirect
149. #4950C22semidirect
150. #4949C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4947C22semidirect
155. #4946C22semidirect
156. #4946C22semidirect
157. #4946C22semidirect
161. #4942C22semidirect
162. #4942C22semidirect
163. #4942C22semidirect
166. #4677C22semidirect
167. #4676C22semidirect
168. #4676C22semidirect
169. #4676C22semidirect
170. #4673C22semidirect
171. #4673C22semidirect
172. #4673C22semidirect
173. #4673C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4667C22semidirect
178. #4657C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4656C22semidirect
183. #4656C22semidirect
184. #4653C22semidirect
185. #4652C22semidirect
186. #4652C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
212. #2437D3semidirect
230. C22×#67Q8semidirect
389. #878D4semidirect
453. C2×C22⋊Q8C2×D3semidirect
473. #399C2×D3semidirect
492. #396C2×D3semidirect
493. #396C2×D3semidirect
507. #393C2×D3semidirect
560. #385C2×D3semidirect
561. #385C2×D3semidirect
572. #380C2×D3semidirect
597. C23×D3C2×Q8semidirect
638. C2×#67C2×Q8semidirect
639. C2×#67C2×Q8semidirect
667. C22×Dic3C2×Q8semidirect
712. C2×Dic6C2×D4semidirect
775. C4⋊Dic3C2×D4semidirect
798. Dic3⋊C4C2×D4semidirect
799. Dic3⋊C4C2×D4semidirect
1406. C22×C3#543semidirect
1660. C22#5634semidirect
1694. C3#37684semidirect

Maximal subgroups

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

subgroupindex
C2×#56342
C22×#8782
C3×#24372
#828152
#827812
#827642
C22⋊C4×#672
#821102
C2×#49582
#781192
#780622
#774362
#774332
#773722
#768252
#768242
#746212
#744722
#744222
#744212
#744132
#744052
#743872
#740172
#739572
#738962
#738892
#738502
#738462
#376843