Finite Group Databasebeta

← #11034629

Subgroups — #11034629

Order 768.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5690C211yesmaximal, characteristic, complemented
2C2×#5654C211yesmaximal, characteristic
3C3×#2694C211yesmaximal, characteristic, complemented
4#83046C211yesmaximal, characteristic, complemented
5#82876C211yesmaximal, characteristic, complemented
6#78102C211yesmaximal, characteristic, complemented
7#78101C211yesmaximal, characteristic, complemented
8#78037C211yesmaximal, characteristic, complemented
9#78030C211yesmaximal, characteristic, complemented
10#77970C211yesmaximal, characteristic, complemented
11#77765C211yesmaximal, characteristic, complemented
12#77669C211yesmaximal, characteristic, complemented
13#77547C211yesmaximal, characteristic, complemented
14#77418C211yesmaximal, characteristic, complemented
15#77331C211yesmaximal, characteristic, complemented
16#77139C211yesmaximal, characteristic, complemented
17#76905C211yesmaximal, characteristic, complemented
18#76465C211yesmaximal, characteristic, complemented
19D3×#390C211yesmaximal, characteristic, complemented
20#76288C211yesmaximal, characteristic, complemented
21#76259C211yesmaximal, characteristic, complemented
22#75845C211yesmaximal, characteristic, complemented
23#75844C211yesmaximal, characteristic, complemented
24#75593C211yesmaximal, characteristic, complemented
25#75462C211yesmaximal, characteristic, complemented
26#75151C211yesmaximal, characteristic, complemented
27#74937C211yesmaximal, characteristic, complemented
28#74413C211yesmaximal, characteristic, complemented
29#74411C211yesmaximal, characteristic, complemented
30#74003C211yesmaximal, characteristic, complemented
31#73896C211yesmaximal, characteristic, complemented
32#38078—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39#5690—28no—
40#5654—28no—
41C2×#897C2211yescharacteristic
42C2×#897C2211yescharacteristic, complemented
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic, complemented
47C2×#896C2211yescharacteristic, complemented
48C2×#896C2211yescharacteristic, complemented
49C2×#896C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#892C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×#890C2211yescharacteristic, complemented
60C2×#888C2211yescharacteristic, complemented
61C2×#888C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic
63C2×#885C2211yescharacteristic
64C2×#885C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#883C2211yescharacteristic, complemented
67C2×#883C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×#878C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic
79C2×C42×D3C2211yescharacteristic
80C2×C4×Dic6C2211yescharacteristic, complemented
81C3×#399C2211yescharacteristic, complemented
82C3×#399C2211yescharacteristic, complemented
83C3×#398C2211yescharacteristic, complemented
84C3×#397C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C3×#394C2211yescharacteristic
87C3×#390C2211yescharacteristic
88C3×#389C2211yescharacteristic, complemented
89C3×#388C2211yescharacteristic, complemented
90C3×#388C2211yescharacteristic, complemented
91C3×#387C2211yescharacteristic, complemented
92C3×#385C2211yescharacteristic, complemented
93C3×#380C2211yescharacteristic, complemented
94#5222C2211yescharacteristic
95#5221C2211yescharacteristic
96#5212C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4988C2211yescharacteristic
113#4987C2211yescharacteristic
114#4987C2211yescharacteristic
115#4987C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4983C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4975C2211yescharacteristic, complemented
123#4975C2211yescharacteristic, complemented
124#4975C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4953C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4947C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156#4939C2211yescharacteristic
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4677C2211yescharacteristic, complemented
160#4676C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4648C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C2×#546—31no—
192#2857—31no—
193#2694—31no—
194#2694—31no—
195#2694—31no—
196#2694D311yescharacteristic, complemented
197#2681—31no—
198#2681—31no—
199#2681—31no—
200#2681—31no—
201#2640—31no—
202#2620—31no—
203#2545—31no—
204#2542—31no—
205#2502—31no—
206#2501—31no—
207#2437—31no—
208#2437—31no—
209#2437—31no—
210#2437—31no—
211#2435—31no—
212#2432—31no—
213#2418—31no—
214#2418—31no—
215#2418—31no—
216#2418—31no—
217#2326—31no—
218#2311—31no—
219C2×#390—31no—
220#2290—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C2×D3×D4—24no—
231C2×D3×D4—24no—
232C2×D3×D4—42no—
233C2×#235—24no—
234C2×#235—24no—
235C2×#235—42no—
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#125—24no—
255C3×#123—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×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290#939—24no—
291C2×(C2×D3)⋊C4—24no—
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×(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×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
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
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×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#897—24no—
361#897—24no—
362#896—24no—
363#896—24no—
364#896—24no—
365#896—24no—
366#896—24no—
367#896—42no—
368#896—42no—
369#895—24no—
370#894—24no—
371#894—42no—
372#894—42no—
373#893—24no—
374#893D418yes—
375#892—42no—
376D3×C4⋊C4—24no—
377D3×C4⋊C4—24no—
378#890—24no—
379#888—24no—
380#888—42no—
381#885—24no—
382#885—24no—
383#885—42no—
384#884—24no—
385#883—42no—
386#883—42no—
387#882—24no—
388#882—24no—
389#67⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—42no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394D3×C22⋊C4—42no—
395#878—42no—
396#878—42no—
397C4×D12—24no—
398C42×D3—42no—
399C4×Dic6—24no—
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
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C23×D4—31no—
428#554—68no—
429#546—68no—
430C2×C4⋊Q8—31no—
431C2×C4⋊Q8—31no—
432C2×#125—31no—
433C2×#125C2×D311yescharacteristic, complemented
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123C2×D311yescharacteristic
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—31no—
452C2×C22⋊Q8—31no—
453C2×C22⋊Q8—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×C4×Q8—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×#117—31no—
465C22×C4⋊C4—31no—
466C22×C4⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C42—31no—
474#399—31no—
475#399—31no—
476#399—31no—
477#399—31no—
478#399—31no—
479#399—31no—
480#399C2×D311yescharacteristic, complemented
481#399C2×D311yescharacteristic, complemented
482#398—31no—
483#398—31no—
484#398—31no—
485#398C2×D311yescharacteristic, complemented
486#397—31no—
487#397—31no—
488#397—31no—
489#397C2×D311yescharacteristic, complemented
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396C2×D311yescharacteristic, complemented
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394C2×D311yescharacteristic
510#393—31no—
511#393—31no—
512#393—31no—
513#393—31no—
514#391—31no—
515#391—31no—
516#391—31no—
517#391—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390C2×D311yescharacteristic
528#389—31no—
529#389—31no—
530#389—31no—
531#389C2×D311yescharacteristic, complemented
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388C2×D311yescharacteristic, complemented
541#388C2×D311yescharacteristic, complemented
542#387—31no—
543#387C2×D311yescharacteristic, complemented
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385C2×D311yescharacteristic, complemented
564#384—31no—
565#384—31no—
566#384—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380C2×D311yescharacteristic, complemented
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579C4×C4⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582#376—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—41no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67#4114yes—
634C22×Dic3—22no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649D3×D4—416no—
650#235—416no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12C2×D414yes—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3C2×D414yes—
692C2×C4×D3C2×D414yes—
693C2×Dic6—22no—
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—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4C2×D414yes—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C42—22no—
729C3×C42—41no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
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—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
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—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4C2×D414yes—
772(C2×D3)⋊C4C2×D414yes—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—22no—
777C4⋊Dic3—22no—
778C4⋊Dic3—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781C4⋊Dic3—41no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800C4×Dic3—22no—
801C4×Dic3—22no—
802C4×Dic3—22no—
803C4×Dic3—22no—
804C4×Dic3—22no—
805C4×Dic3—41no—
806C4×Dic3C2×D414yes—
807C25—31no—
808C25—31no—
809C2×#41—64no—
810C2×#41—64no—
811C2×#41—122no—
812C22×Q8—31no—
813C22×Q8—31no—
814C22×Q8—31no—
815C22×Q8—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—64no—
825C22×D4—64no—
826C22×D4—122no—
827C22×D4C22×D311yescharacteristic
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—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4C22×D311yescharacteristic
840C4⋊Q8—64no—
841C4⋊Q8—122no—
842#125—24no—
843#125—64no—
844#124—64no—
845#124—64no—
846#124—122no—
847#123—24no—
848#123—64no—
849#123—122no—
850#123—122no—
851#123—122no—
852#123—122no—
853C22⋊Q8—64no—
854C22⋊Q8—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—64no—
858C22⋊Q8—64no—
859C22⋊Q8—64no—
860C22⋊Q8—122no—
861C22⋊Q8—122no—
862C22⋊Q8—122no—
863C22⋊Q8—122no—
864#121—64no—
865#121—64no—
866#121—64no—
867#120—64no—
868#120—64no—
869C4×Q8—64no—
870C4×D4—38no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874#117—122no—
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—64no—
903C2×C4⋊C4—64no—
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
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×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—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—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—64no—
960C2×C22⋊C4—64no—
961C2×C22⋊C4—122no—
962C2×C22⋊C4—122no—
963C2×C22⋊C4—122no—
964C2×C22⋊C4—122no—
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C42—31no—
977C2×C42—31no—
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42—122no—
984C2×C42C22×D311yescharacteristic
985C2×C42C22×D311yescharacteristic
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#95—31no—
1002#95—31no—
1003#95—31no—
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3C2×#4112yes—
1026C23×C3C2511yescharacteristic
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
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—21no—
1049C22×D3—21no—
1050C22×D3—44no—
1051C22×D3—44no—
1052C22×D3—44no—
1053C22×D3—44no—
1054C22×D3—44no—
1055C22×D3—44no—
1056C22×D3—44no—
1057C22×D3—44no—
1058C22×D3—82no—
1059C22×D3—82no—
1060C22×D3—82no—
1061C22×D3—82no—
1062C22×D3—82no—
1063C22×D3—82no—
1064C22×D3C22×D412yes—
1065C22×D3C22×D412yes—
1066C22×D3C2×#4112yes—
1067C22×D32−1+412yes—
1068C22×D32−1+412yes—
1069C3×D4—44no—
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—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—44no—
1106C2×C3×C4C22×D412yes—
1107C2×C3×C4C22×D412yes—
1108C2×C3×C4C22×D412yes—
1109C2×C3×C4H(5,𝔽2)12yes—
1110#67—28no—
1111#67—44no—
1112#67—44no—
1113#67—82no—
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—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—82no—
1146C2×Dic3C22×D412yes—
1147C2×Dic3C22×D412yes—
1148C2×Dic3C2×#4112yes—
1149C2×Dic3H(5,𝔽2)12yes—
1150C2×Dic3H(5,𝔽2)12yes—
1151D12—28no—
1152D12—44no—
1153D12—44no—
1154D12—82no—
1155C4×D3—28no—
1156C4×D3—28no—
1157C4×D3—44no—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—82no—
1161C4×D3—82no—
1162C4×D3—82no—
1163C4×D3—82no—
1164C4×D3—82no—
1165Dic6—44no—
1166Dic6—44no—
1167Dic6—82no—
1168Dic6—82no—
1169C24—31no—
1170C24—31no—
1171C24—31no—
1172C24—31no—
1173C24—62no—
1174C24—62no—
1175C24—62no—
1176C24—62no—
1177C24—62no—
1178C24—62no—
1179C24—62no—
1180C24—62no—
1181C24—121no—
1182C24—121no—
1183C24—121no—
1184C24—121no—
1185C24—121no—
1186C24—121no—
1187C24C23×D311yescharacteristic
1188C24C23×D311yescharacteristic
1189#41—1216no—
1190C2×Q8—62no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×Q8—121no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—34no—
1205C2×D4—34no—
1206C2×D4—41no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—1216no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—34no—
1236C22×C4—34no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—41no—
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×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
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—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4D3×D414yes—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—34no—
1337C22⋊C4—34no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—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—121no—
1368C22⋊C4—121no—
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⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C42—22no—
1385C42—34no—
1386C42—41no—
1387C42—62no—
1388C42—62no—
1389C42—62no—
1390C42—62no—
1391C42—62no—
1392C42—121no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3C23×D411yescharacteristic
1408C22×C3C22×#4111yescharacteristic
1409C22×C3C2×H(5,𝔽2)11yescharacteristic
1410C22×C3C2×H(5,𝔽2)11yescharacteristic
1411C22×C3C2×H(5,𝔽2)11yescharacteristic
1412C22×C3C2×2−1+411yescharacteristic
1413C22×C3C2×2−1+411yescharacteristic
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
1420C2×D3—22no—
1421C2×D3—22no—
1422C2×D3—22no—
1423C2×D3—22no—
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—88no—
1442C2×D3—88no—
1443C2×D3#53614yes—
1444C3×C4—22no—
1445C3×C4—22no—
1446C3×C4—22no—
1447C3×C4—22no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4—41no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457Dic3—22no—
1458Dic3—22no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3#54614yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—32no—
1483C23—32no—
1484C23—32no—
1485C23—32no—
1486C23—32no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—124no—
1511C23—124no—
1512C23—124no—
1513C23—124no—
1514C23—124no—
1515C23—124no—
1516C23—124no—
1517C23—124no—
1518C23—242no—
1519C23—242no—
1520C23—242no—
1521C23—242no—
1522C23—242no—
1523C23—242no—
1524C23D3×#4112yes—
1525C23C24×D311yescharacteristic
1526Q8—124no—
1527Q8—124no—
1528Q8—242no—
1529Q8—242no—
1530D4—44no—
1531D4—68no—
1532D4—68no—
1533D4—124no—
1534D4—124no—
1535D4—124no—
1536D4—124no—
1537D4—242no—
1538D4—242no—
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—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—32no—
1578C2×C4—32no—
1579C2×C4—44no—
1580C2×C4—68no—
1581C2×C4—68no—
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—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4—242no—
1619C2×C4—242no—
1620C2×C4—242no—
1621C2×C4—242no—
1622C2×C4C2×D3×D412yes—
1623C2×C4C2×D3×D412yes—
1624C2×C4C2×D3×D412yes—
1625C2×C4#100912yes—
1626C2×C3—42no—
1627C2×C3—81no—
1628C2×C3C2×#53611yescharacteristic
1629C2×C3C2×#54611yescharacteristic
1630C2×C3#349811yescharacteristic
1631C2×C3#352011yescharacteristic
1632C2×C3#352011yescharacteristic
1633C2×C3#353611yescharacteristic
1634C2×C3#353611yescharacteristic
1635D3—24no—
1636D3—42no—
1637D3—42no—
1638D3—81no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—34no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—62no—
1664C22—62no—
1665C22—62no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—248no—
1682C22—248no—
1683C22C22×D3×D411yescharacteristic
1684C22C2×D3×#4111yescharacteristic
1685C22C2×#100911yescharacteristic
1686C22D3×H(5,𝔽2)11yescharacteristic
1687C22D3×H(5,𝔽2)11yescharacteristic
1688C22D3×2−1+411yescharacteristic
1689C22D3×2−1+411yescharacteristic
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—34no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—62no—
1705C4—62no—
1706C4—121no—
1707C4—121no—
1708C4—121no—
1709C4—121no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C3#3807811yescharacteristic, complemented, Sylow
1716C2—42no—
1717C2—64no—
1718C2—81no—
1719C2—122no—
1720C2—122no—
1721C2—241no—
1722C2D3×#53611yescharacteristic
1723C2#8643411yescharacteristic
1724C2#8645611yescharacteristic
1725C2D3×#54611yescharacteristic
1726C2#8677011yescharacteristic
1727C2#8683911yescharacteristic
1728C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2694C2
prime radicalC2×#5654C2
hypercenter#2694D3
hypocenterC3#38078
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#5690C2semidirect
3. C3×#2694C2semidirect
4. #83046C2semidirect
5. #82876C2semidirect
6. #78102C2semidirect
7. #78101C2semidirect
8. #78037C2semidirect
9. #78030C2semidirect
10. #77970C2semidirect
11. #77765C2semidirect
12. #77669C2semidirect
13. #77547C2semidirect
14. #77418C2semidirect
15. #77331C2semidirect
16. #77139C2semidirect
17. #76905C2semidirect
18. #76465C2semidirect
19. D3×#390C2semidirect
20. #76288C2semidirect
21. #76259C2semidirect
22. #75845C2semidirect
23. #75844C2semidirect
24. #75593C2semidirect
25. #75462C2semidirect
26. #75151C2semidirect
27. #74937C2semidirect
28. #74413C2semidirect
29. #74411C2semidirect
30. #74003C2semidirect
31. #73896C2semidirect
35. C2×C3×#125C22semidirect
42. C2×#897C22semidirect
46. C2×#896C22semidirect
47. C2×#896C22semidirect
48. C2×#896C22semidirect
49. C2×#896C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
56. C2×#892C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×#890C22semidirect
60. C2×#888C22semidirect
61. C2×#888C22semidirect
66. C2×#883C22semidirect
67. C2×#883C22semidirect
76. C2×#878C22semidirect
77. C2×#878C22semidirect
80. C2×C4×Dic6C22semidirect
81. C3×#399C22semidirect
82. C3×#399C22semidirect
83. C3×#398C22semidirect
84. C3×#397C22semidirect
85. C3×#396C22semidirect
88. C3×#389C22semidirect
89. C3×#388C22semidirect
90. C3×#388C22semidirect
91. C3×#387C22semidirect
92. C3×#385C22semidirect
93. C3×#380C22semidirect
96. #5212C22semidirect
97. #5210C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4993C22semidirect
102. #4993C22semidirect
103. #4992C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
115. #4987C22semidirect
116. #4987C22semidirect
117. #4983C22semidirect
118. #4981C22semidirect
119. #4980C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
122. #4975C22semidirect
123. #4975C22semidirect
124. #4975C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
141. #4953C22semidirect
142. #4950C22semidirect
143. #4949C22semidirect
144. #4949C22semidirect
145. #4948C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4947C22semidirect
149. #4947C22semidirect
150. #4946C22semidirect
151. #4944C22semidirect
152. #4944C22semidirect
153. #4940C22semidirect
154. #4940C22semidirect
155. #4940C22semidirect
157. #4928C22semidirect
158. #4677C22semidirect
159. #4677C22semidirect
160. #4676C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
178. #4666C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4661C22semidirect
184. #4649C22semidirect
185. #4648C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
196. #2694D3semidirect
433. C2×#125C2×D3semidirect
480. #399C2×D3semidirect
481. #399C2×D3semidirect
485. #398C2×D3semidirect
489. #397C2×D3semidirect
497. #396C2×D3semidirect
531. #389C2×D3semidirect
540. #388C2×D3semidirect
541. #388C2×D3semidirect
543. #387C2×D3semidirect
563. #385C2×D3semidirect
574. #380C2×D3semidirect
1715. C3#38078semidirect

Maximal subgroups

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

subgroupindex
C2×#56902
C2×#56542
C3×#26942
#830462
#828762
#781022
#781012
#780372
#780302
#779702
#777652
#776692
#775472
#774182
#773312
#771392
#769052
#764652
D3×#3902
#762882
#762592
#758452
#758442
#755932
#754622
#751512
#749372
#744132
#744112
#740032
#738962
#380783