Finite Group Databasebeta

← #11098189

Subgroups — #11098189

Order 768.

2252 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#554C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic
3#83265C211yesmaximal, characteristic, complemented
4#83248C211yesmaximal, characteristic, complemented
5#83071C211yesmaximal, characteristic, complemented
6#83052C211yesmaximal, characteristic, complemented
7#83046C211yesmaximal, characteristic, complemented
8#83045C211yesmaximal, characteristic, complemented
9#82832C211yesmaximal, characteristic, complemented
10#82826C211yesmaximal, characteristic, complemented
11#82822C211yesmaximal, characteristic, complemented
12#82821C211yesmaximal, characteristic, complemented
13#82815C211yesmaximal, characteristic, complemented
14#82800C211yesmaximal, characteristic, complemented
15#82792C211yesmaximal, characteristic, complemented
16#82790C211yesmaximal, characteristic, complemented
17#82781C211yesmaximal, characteristic, complemented
18#82769C211yesmaximal, characteristic, complemented
19#82769C211yesmaximal, characteristic, complemented
20#82763C211yesmaximal, characteristic, complemented
21#82504C211yesmaximal, characteristic, complemented
22#82474C211yesmaximal, characteristic, complemented
23#82404C211yesmaximal, characteristic, complemented
24#82404C211yesmaximal, characteristic, complemented
25#82357C211yesmaximal, characteristic, complemented
26#82356C211yesmaximal, characteristic, complemented
27#82335C211yesmaximal, characteristic, complemented
28#82199C211yesmaximal, characteristic, complemented
29#82198C211yesmaximal, characteristic, complemented
30C2×#4994C211yesmaximal, characteristic, complemented
31#82170C211yesmaximal, characteristic, complemented
32#40513—31nomaximal, Sylow
33C3×#554—28no—
34C2×C3×C4⋊Q8C2211yescharacteristic, complemented
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×#125C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic, complemented
41C2×C3×C22⋊Q8C2211yescharacteristic, complemented
42C2×C3×C22⋊Q8C2211yescharacteristic, complemented
43C2×C3×C4×Q8C2211yescharacteristic, complemented
44C2×C3×C4×D4C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C22×C3×C4⋊C4C2211yescharacteristic
48C22×C3×C4⋊C4C2211yescharacteristic, complemented
49C2×#947C2211yescharacteristic
50C2×#947C2211yescharacteristic
51C2×#946C2211yescharacteristic, complemented
52C2×#944C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic
54C2×#937C2211yescharacteristic
55C2×#930C2211yescharacteristic
56C2×#929C2211yescharacteristic
57C2×#929C2211yescharacteristic
58C2×#929C2211yescharacteristic
59C2×#929C2211yescharacteristic, complemented
60C2×C4×#67C2211yescharacteristic
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C22×(C2×D3)⋊C4C2211yescharacteristic
63C22×(C2×D3)⋊C4C2211yescharacteristic
64C2×#926C2211yescharacteristic, complemented
65C22×C4⋊Dic3C2211yescharacteristic
66C22×Dic3⋊C4C2211yescharacteristic
67#5560—28no—
68C2×#898C2211yescharacteristic
69C2×#894C2211yescharacteristic
70C2×#885C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#878C2211yescharacteristic
74C2×#876C2211yescharacteristic
75C2×#875C2211yescharacteristic
76#5231C2211yescharacteristic
77#5231C2211yescharacteristic
78#5231C2211yescharacteristic
79#5231C2211yescharacteristic
80#5230C2211yescharacteristic, complemented
81#5230C2211yescharacteristic, complemented
82#5229C2211yescharacteristic, complemented
83#5229C2211yescharacteristic, complemented
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5212C2211yescharacteristic
92#5212C2211yescharacteristic, complemented
93#5211C2211yescharacteristic, complemented
94#5210C2211yescharacteristic
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic
103#4994C2211yescharacteristic
104#4994C2211yescharacteristic
105#4994C2211yescharacteristic
106#4994C2211yescharacteristic
107#4994C2211yescharacteristic
108#4994C2211yescharacteristic
109#4994C2211yescharacteristic
110#4994C2211yescharacteristic, complemented
111#4994C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4993C2211yescharacteristic
115#4993C2211yescharacteristic
116#4993C2211yescharacteristic
117#4993C2211yescharacteristic
118#4993C2211yescharacteristic, complemented
119#4992C2211yescharacteristic
120#4992C2211yescharacteristic
121#4992C2211yescharacteristic
122#4992C2211yescharacteristic
123#4992C2211yescharacteristic, complemented
124#4991C2211yescharacteristic
125#4991C2211yescharacteristic
126#4991C2211yescharacteristic
127#4991C2211yescharacteristic
128#4990C2211yescharacteristic
129#4990C2211yescharacteristic
130#4990C2211yescharacteristic
131#4990C2211yescharacteristic
132#4989C2211yescharacteristic, complemented
133#4989C2211yescharacteristic, complemented
134#4988C2211yescharacteristic
135#4988C2211yescharacteristic
136#4987C2211yescharacteristic, complemented
137#4985C2211yescharacteristic, complemented
138#4983C2211yescharacteristic, complemented
139#4983C2211yescharacteristic, complemented
140#4983C2211yescharacteristic, complemented
141#4982C2211yescharacteristic, complemented
142#4982C2211yescharacteristic, complemented
143#4982C2211yescharacteristic, complemented
144#4982C2211yescharacteristic, complemented
145#4981C2211yescharacteristic, complemented
146#4981C2211yescharacteristic, complemented
147#4980C2211yescharacteristic, complemented
148#4980C2211yescharacteristic, complemented
149#4979C2211yescharacteristic, complemented
150#4979C2211yescharacteristic, complemented
151#4978C2211yescharacteristic, complemented
152#4978C2211yescharacteristic, complemented
153#4976C2211yescharacteristic, complemented
154#4976C2211yescharacteristic, complemented
155#4976C2211yescharacteristic, complemented
156#4976C2211yescharacteristic, complemented
157#4975C2211yescharacteristic, complemented
158#4973C2211yescharacteristic, complemented
159#4972C2211yescharacteristic, complemented
160#4959C2211yescharacteristic
161#4959C2211yescharacteristic
162#4959C2211yescharacteristic
163#4959C2211yescharacteristic
164#4959C2211yescharacteristic, complemented
165#4959C2211yescharacteristic, complemented
166#4958C2211yescharacteristic
167#4958C2211yescharacteristic
168#4955C2211yescharacteristic
169#4955C2211yescharacteristic
170#4952C2211yescharacteristic, complemented
171#4952C2211yescharacteristic, complemented
172#4951C2211yescharacteristic, complemented
173#4951C2211yescharacteristic, complemented
174#4946C2211yescharacteristic
175#4946C2211yescharacteristic
176#4942C2211yescharacteristic
177#4942C2211yescharacteristic
178Dic3×C22⋊C4C2211yescharacteristic
179Dic3×C22⋊C4C2211yescharacteristic
180#4940C2211yescharacteristic
181#4940C2211yescharacteristic
182#4940C2211yescharacteristic
183#4940C2211yescharacteristic
184#4940C2211yescharacteristic, complemented
185#4940C2211yescharacteristic, complemented
186#4936C2211yescharacteristic, complemented
187C4×C4⋊Dic3C2211yescharacteristic, complemented
188#4933C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#554D311yescharacteristic, complemented
191C2×#538—31no—
192#2820—31no—
193#2814—31no—
194#2721—31no—
195#2716—31no—
196#2700—31no—
197#2694—31no—
198#2681—31no—
199#2674—31no—
200#2674—31no—
201#2672—31no—
202#2664—31no—
203#2637—31no—
204#2626—31no—
205#2620—31no—
206#2618—31no—
207#2579—31no—
208#2549—31no—
209#2545—31no—
210#2472—31no—
211#2472—31no—
212#2444—31no—
213#2443—31no—
214#2440—31no—
215#2418—31no—
216#2418—31no—
217#2417—31no—
218#2413—31no—
219C2×#396—31no—
220#2352—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C3×C4⋊Q8—24no—
244C3×#125—24no—
245C3×#125—24no—
246C3×C22⋊Q8—24no—
247C3×C22⋊Q8—24no—
248C3×C22⋊Q8—24no—
249C3×C22⋊Q8—24no—
250C3×C22⋊Q8—24no—
251C3×C22⋊Q8—24no—
252C3×C4×Q8—24no—
253C3×C4×D4—24no—
254C3×C4×D4—24no—
255C3×C4×D4D418yes—
256C2×C3×C4⋊C4—24no—
257C2×C3×C4⋊C4—24no—
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×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊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×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#947—42no—
292#947—42no—
293#946—42no—
294#944—42no—
295#939—24no—
296#937—24no—
297#930—24no—
298#929—24no—
299#929—42no—
300#929—42no—
301#929—42no—
302C4×#67—24no—
303C2×(C2×D3)⋊C4—24no—
304C2×(C2×D3)⋊C4—42no—
305C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340#926—42no—
341C2×C4⋊Dic3—42no—
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375#898—24no—
376#894—24no—
377#885—24no—
378#884—24no—
379#882—24no—
380#878—24no—
381#876—24no—
382#875—24no—
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
417#554—28no—
418#538—68no—
419C2×C4⋊Q8—31no—
420C2×C4⋊Q8C2×D311yescharacteristic, complemented
421C2×#126—31no—
422C2×#126—31no—
423C2×#125C2×D311yescharacteristic, complemented
424C2×#125C2×D311yescharacteristic, complemented
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8C2×D311yescharacteristic
437C2×C22⋊Q8C2×D311yescharacteristic
438C2×C22⋊Q8C2×D311yescharacteristic
439C2×C22⋊Q8C2×D311yescharacteristic, complemented
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×C22⋊Q8C2×D311yescharacteristic, complemented
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×C4×Q8C2×D311yescharacteristic, complemented
448C2×C4×D4—31no—
449C2×C4×D4C2×D311yescharacteristic
450C2×C4×D4C2×D311yescharacteristic
451C2×C4×D4C2×D311yescharacteristic
452C2×#117—31no—
453C22×C4⋊C4—31no—
454C22×C4⋊C4—31no—
455C22×C4⋊C4C2×D311yescharacteristic
456C22×C4⋊C4C2×D311yescharacteristic, complemented
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—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#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#395—31no—
499#395—31no—
500#395—31no—
501#395—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#393—31no—
513#393—31no—
514#393—31no—
515#393—31no—
516#391—31no—
517#391—31no—
518#391—31no—
519#390—31no—
520#390—31no—
521#389—31no—
522#389—31no—
523#389—31no—
524#389—31no—
525#389—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#384—31no—
561#382—31no—
562#381—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×Q8—41no—
594C2×C3×Q8—41no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4C2×D414yes—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4C2×D414yes—
615C22×C3×C4C2×D414yes—
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
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×C4×D3—22no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×Dic6—22no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4C2×D414yes—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4C2×D414yes—
696C3×C22⋊C4C2×D414yes—
697C3×C42—22no—
698C3×C42—22no—
699C3×C42C2×D414yes—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—41no—
706#217—41no—
707#217—41no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—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—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
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—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—41no—
746C4⋊Dic3—41no—
747C4⋊Dic3—41no—
748C4⋊Dic3—41no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C25—31no—
775C22×Q8—31no—
776C22×Q8C22×D311yescharacteristic
777C22×Q8C22×D311yescharacteristic
778C22×Q8C22×D311yescharacteristic
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4C22×D311yescharacteristic
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4C22×D311yescharacteristic
791C23×C4C22×D311yescharacteristic
792C23×C4C22×D311yescharacteristic
793C23×C4C22×D311yescharacteristic
794C23×C4C22×D311yescharacteristic
795C23×C4C22×D311yescharacteristic
796C4⋊Q8—24no—
797C4⋊Q8—122no—
798#126—64no—
799#126—64no—
800#125—24no—
801#125—24no—
802#124—64no—
803#124—64no—
804#124—122no—
805#124—122no—
806#123—64no—
807#123—64no—
808#123—122no—
809#123—122no—
810#123—122no—
811C22⋊Q8—24no—
812C22⋊Q8—24no—
813C22⋊Q8—24no—
814C22⋊Q8—24no—
815C22⋊Q8—24no—
816C22⋊Q8—24no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819#121—64no—
820#121—64no—
821#121—64no—
822#120—64no—
823#120—64no—
824C4×Q8—24no—
825C4×D4—24no—
826C4×D4—24no—
827C4×D4—64no—
828C4×D4#6718yes—
829#117—122no—
830C2×C4⋊C4—24no—
831C2×C4⋊C4—24no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
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—122no—
860C2×C4⋊C4—122no—
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
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—64no—
920C2×C22⋊C4—122no—
921C2×C22⋊C4—122no—
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
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—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3C22×D412yes—
981C23×C3C22×D412yes—
982C23×C32−1+412yes—
983C23×C32−1+412yes—
984C23×C3C2511yescharacteristic
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—82no—
1010C22×D3—82no—
1011C22×D3—82no—
1012C22×D3—82no—
1013C3×Q8—44no—
1014C3×Q8—82no—
1015C3×Q8—82no—
1016C3×D4—28no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—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—44no—
1051C2×C3×C4—44no—
1052C2×C3×C4—44no—
1053C2×C3×C4—44no—
1054C2×C3×C4—82no—
1055C2×C3×C4—82no—
1056C2×C3×C4C22×D412yes—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4H(5,𝔽2)12yes—
1062#67—44no—
1063#67—82no—
1064#67—82no—
1065#67—82no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—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—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—44no—
1105C2×Dic3—82no—
1106C2×Dic3—82no—
1107C2×Dic3H(5,𝔽2)12yes—
1108D12—82no—
1109D12—82no—
1110C4×D3—82no—
1111Dic6—82no—
1112C24—31no—
1113C24—31no—
1114C24—31no—
1115C24—62no—
1116C24—62no—
1117C24—62no—
1118C24—121no—
1119C24—121no—
1120C24—121no—
1121C24—121no—
1122C24C23×D311yescharacteristic
1123C24C23×D311yescharacteristic
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C2×D4—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4C2×#6714yes—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4C2×#6714yes—
1199C22×C4C2×#6714yes—
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—121no—
1240C4⋊C4—121no—
1241C4⋊C4—121no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4C2×#6714yes—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4C2×#6714yes—
1303C22⋊C4C2×#6714yes—
1304C42—22no—
1305C42—22no—
1306C42—62no—
1307C42—62no—
1308C42—121no—
1309C42—121no—
1310C42—121no—
1311C42C2×#6714yes—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3#53614yes—
1326C22×C3C23×D411yescharacteristic
1327C22×C3C2×H(5,𝔽2)11yescharacteristic
1328C22×C3C2×H(5,𝔽2)11yescharacteristic
1329C22×C3C2×2−1+411yescharacteristic
1330C22×C3C2×2−1+411yescharacteristic
1331C22×C3#58511yescharacteristic
1332C22×C3#58511yescharacteristic
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—88no—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—22no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368Dic3—22no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—124no—
1413C23—124no—
1414C23—124no—
1415C23—242no—
1416C23—242no—
1417C23—242no—
1418C23—242no—
1419C23#100712yes—
1420C23#100712yes—
1421C23C22×#6712yes—
1422C23C22×#6712yes—
1423C23C24×D311yescharacteristic
1424Q8—44no—
1425Q8—82no—
1426Q8—82no—
1427Q8—242no—
1428D4—28no—
1429D4—124no—
1430D4—242no—
1431D4—242no—
1432D4—242no—
1433D4—242no—
1434D4—242no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—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—32no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
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—82no—
1512C2×C4—82no—
1513C2×C4—124no—
1514C2×C4—242no—
1515C2×C4—242no—
1516C2×C4—242no—
1517C2×C4#100912yes—
1518C2×C4C22×#6712yes—
1519C2×C4C22×#6712yes—
1520C2×C4C22×#6712yes—
1521C2×C4C22×#6712yes—
1522C2×C4C22×#6712yes—
1523C2×C3—24no—
1524C2×C3—42no—
1525C2×C3C2×#53611yescharacteristic
1526C2×C3#348811yescharacteristic
1527C2×C3#349611yescharacteristic
1528C2×C3#353611yescharacteristic
1529C2×C3#354111yescharacteristic
1530C2×C3#354111yescharacteristic
1531C2×C3#356411yescharacteristic
1532D3—81no—
1533D3—81no—
1534D3—81no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—248no—
1570C22#581614yes—
1571C22C2×#100711yescharacteristic
1572C22C2×#100711yescharacteristic
1573C22C2×#100911yescharacteristic
1574C22#596411yescharacteristic
1575C22D3×H(5,𝔽2)11yescharacteristic
1576C22#596611yescharacteristic
1577C22C23×#6711yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—62no—
1592C4—121no—
1593C4—121no—
1594C4—121no—
1595C4—121no—
1596C4—121no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C3#4051311yescharacteristic, complemented, Sylow
1605C2—24no—
1606C2—42no—
1607C2—241no—
1608C2—241no—
1609C2—241no—
1610C2#8693711yescharacteristic
1611C2#8693811yescharacteristic
1612C2#8694411yescharacteristic
1613C2#8695211yescharacteristic
1614C2C2×#581611yescharacteristic
1615C2#8727511yescharacteristic
1616C2#8728111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#554C2
prime radicalC2×#5560C2
hypercenterC2×#554D3
hypocenterC3#40513
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×C3×#554C2semidirect
3. #83265C2semidirect
4. #83248C2semidirect
5. #83071C2semidirect
6. #83052C2semidirect
7. #83046C2semidirect
8. #83045C2semidirect
9. #82832C2semidirect
10. #82826C2semidirect
11. #82822C2semidirect
12. #82821C2semidirect
13. #82815C2semidirect
14. #82800C2semidirect
15. #82792C2semidirect
16. #82790C2semidirect
17. #82781C2semidirect
18. #82769C2semidirect
19. #82769C2semidirect
20. #82763C2semidirect
21. #82504C2semidirect
22. #82474C2semidirect
23. #82404C2semidirect
24. #82404C2semidirect
25. #82357C2semidirect
26. #82356C2semidirect
27. #82335C2semidirect
28. #82199C2semidirect
29. #82198C2semidirect
30. C2×#4994C2semidirect
31. #82170C2semidirect
34. C2×C3×C4⋊Q8C22semidirect
35. C2×C3×#125C22semidirect
36. C2×C3×#125C22semidirect
40. C2×C3×C22⋊Q8C22semidirect
41. C2×C3×C22⋊Q8C22semidirect
42. C2×C3×C22⋊Q8C22semidirect
43. C2×C3×C4×Q8C22semidirect
48. C22×C3×C4⋊C4C22semidirect
51. C2×#946C22semidirect
52. C2×#944C22semidirect
59. C2×#929C22semidirect
64. C2×#926C22semidirect
80. #5230C22semidirect
81. #5230C22semidirect
82. #5229C22semidirect
83. #5229C22semidirect
90. #5213C22semidirect
92. #5212C22semidirect
93. #5211C22semidirect
96. #5210C22semidirect
110. #4994C22semidirect
111. #4994C22semidirect
112. #4994C22semidirect
113. #4994C22semidirect
118. #4993C22semidirect
123. #4992C22semidirect
132. #4989C22semidirect
133. #4989C22semidirect
136. #4987C22semidirect
137. #4985C22semidirect
138. #4983C22semidirect
139. #4983C22semidirect
140. #4983C22semidirect
141. #4982C22semidirect
142. #4982C22semidirect
143. #4982C22semidirect
144. #4982C22semidirect
145. #4981C22semidirect
146. #4981C22semidirect
147. #4980C22semidirect
148. #4980C22semidirect
149. #4979C22semidirect
150. #4979C22semidirect
151. #4978C22semidirect
152. #4978C22semidirect
153. #4976C22semidirect
154. #4976C22semidirect
155. #4976C22semidirect
156. #4976C22semidirect
157. #4975C22semidirect
158. #4973C22semidirect
159. #4972C22semidirect
164. #4959C22semidirect
165. #4959C22semidirect
170. #4952C22semidirect
171. #4952C22semidirect
172. #4951C22semidirect
173. #4951C22semidirect
184. #4940C22semidirect
185. #4940C22semidirect
186. #4936C22semidirect
187. C4×C4⋊Dic3C22semidirect
188. #4933C22semidirect
189. #4933C22semidirect
190. C2×#554D3semidirect
420. C2×C4⋊Q8C2×D3semidirect
423. C2×#125C2×D3semidirect
424. C2×#125C2×D3semidirect
439. C2×C22⋊Q8C2×D3semidirect
440. C2×C22⋊Q8C2×D3semidirect
441. C2×C22⋊Q8C2×D3semidirect
447. C2×C4×Q8C2×D3semidirect
456. C22×C4⋊C4C2×D3semidirect
1604. C3#40513semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5542
C2×#55602
#832652
#832482
#830712
#830522
#830462
#830452
#828322
#828262
#828222
#828212
#828152
#828002
#827922
#827902
#827812
#827692
#827632
#825042
#824742
#824042
#823572
#823562
#823352
#821992
#821982
C2×#49942
#821702
#405133