Finite Group Databasebeta

← #11098144

Subgroups — #11098144

Order 768.

2850 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5829C211yesmaximal, characteristic, complemented
2C2×#5617C211yesmaximal, characteristic, complemented
3C3×#2430C211yesmaximal, characteristic, complemented
4#84096C211yesmaximal, characteristic, complemented
5#82901C211yesmaximal, characteristic, complemented
6#82900C211yesmaximal, characteristic, complemented
7#82702C211yesmaximal, characteristic, complemented
8#82653C211yesmaximal, characteristic, complemented
9#82642C211yesmaximal, characteristic, complemented
10#77222C211yesmaximal, characteristic, complemented
11#77209C211yesmaximal, characteristic, complemented
12#77159C211yesmaximal, characteristic, complemented
13#77129C211yesmaximal, characteristic, complemented
14#76885C211yesmaximal, characteristic, complemented
15#76827C211yesmaximal, characteristic, complemented
16#76764C211yesmaximal, characteristic, complemented
17#76698C211yesmaximal, characteristic, complemented
18#74905C211yesmaximal, characteristic, complemented
19#74905C211yesmaximal, characteristic, complemented
20#74884C211yesmaximal, characteristic, complemented
21#74814C211yesmaximal, characteristic, complemented
22#74792C211yesmaximal, characteristic, complemented
23#74753C211yesmaximal, characteristic, complemented
24#74728C211yesmaximal, characteristic, complemented
25#74673C211yesmaximal, characteristic, complemented
26#74623C211yesmaximal, characteristic, complemented
27#74602C211yesmaximal, characteristic, complemented
28#74530C211yesmaximal, characteristic, complemented
29#74526C211yesmaximal, characteristic, complemented
30#73352C211yesmaximal, characteristic, complemented
31C2×#4672C211yesmaximal, characteristic, complemented
32#40512—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39#5829—28no—
40C2×#947C2211yescharacteristic, complemented
41C2×#946C2211yescharacteristic, complemented
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic, complemented
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#937C2211yescharacteristic, complemented
54C2×#937C2211yescharacteristic, complemented
55C2×#937C2211yescharacteristic, complemented
56C2×#937C2211yescharacteristic, complemented
57C2×D4×Dic3C2211yescharacteristic
58C2×D4×Dic3C2211yescharacteristic, complemented
59C2×#930C2211yescharacteristic, complemented
60C2×#929C2211yescharacteristic
61C2×#929C2211yescharacteristic, complemented
62C2×C4×#67C2211yescharacteristic, complemented
63C22×(C2×D3)⋊C4C2211yescharacteristic
64C22×(C2×D3)⋊C4C2211yescharacteristic
65C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
66C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
67C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
68C2×#924C2211yescharacteristic, complemented
69C22×Dic3⋊C4C2211yescharacteristic, complemented
70#5617—28no—
71C2×#898C2211yescharacteristic, complemented
72C2×#898C2211yescharacteristic, complemented
73C2×#886C2211yescharacteristic, complemented
74C2×#886C2211yescharacteristic, complemented
75C2×#885C2211yescharacteristic, complemented
76C2×#885C2211yescharacteristic, complemented
77C2×#885C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#882C2211yescharacteristic
81C2×#877C2211yescharacteristic, complemented
82C3×#395C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#393C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic, complemented
91C3×#385C2211yescharacteristic, complemented
92C2×C3×#95C2211yescharacteristic, complemented
93#5231C2211yescharacteristic, complemented
94#5231C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5213C2211yescharacteristic
102#5213C2211yescharacteristic
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5211C2211yescharacteristic, complemented
108C4×#217C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4994C2211yescharacteristic, complemented
111#4994C2211yescharacteristic, complemented
112#4993C2211yescharacteristic, complemented
113#4993C2211yescharacteristic, complemented
114#4991C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4990C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4988C2211yescharacteristic
119#4988C2211yescharacteristic, complemented
120#4988C2211yescharacteristic, complemented
121#4988C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4958C2211yescharacteristic, complemented
143#4958C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4956C2211yescharacteristic, complemented
149#4955C2211yescharacteristic
150#4955C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155#4942C2211yescharacteristic, complemented
156#4942C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4672C2211yescharacteristic
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4671C2211yescharacteristic
175#4671C2211yescharacteristic
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2819—31no—
193#2813—31no—
194#2723—31no—
195#2714—31no—
196#2710—31no—
197#2703—31no—
198#2696—31no—
199#2673—31no—
200#2670—31no—
201#2669—31no—
202#2662—31no—
203#2636—31no—
204#2619—31no—
205#2617—31no—
206#2617—31no—
207#2544—31no—
208#2539—31no—
209#2534—31no—
210#2488—31no—
211#2472—31no—
212#2433—31no—
213#2430D311yescharacteristic, complemented
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2404—31no—
218#2403—31no—
219C2×#394—31no—
220#2352—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C2×C3×#41—42no—
227C22×C3×Q8C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C2×D3×D4—24no—
258C2×D3×D4—42no—
259C2×D3×D4—42no—
260C22×D12—42no—
261C22×D12—42no—
262C22×D12—42no—
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#123—42no—
273C3×#121—24no—
274C3×#121—42no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊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×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#947—24no—
302#946—24no—
303#940—42no—
304#940—42no—
305#939—24no—
306#939—24no—
307#939—24no—
308#939—24no—
309#939—42no—
310#939—42no—
311#937—24no—
312#937—24no—
313#937—24no—
314#937—24no—
315#937—42no—
316#937—42no—
317#937—42no—
318D4×Dic3—24no—
319D4×Dic3D418yescomplemented
320#930—24no—
321#929—24no—
322#929—24no—
323C4×#67—24no—
324C2×(C2×D3)⋊C4—24no—
325C2×(C2×D3)⋊C4—24no—
326C2×(C2×D3)⋊C4—24no—
327C2×(C2×D3)⋊C4—42no—
328C2×(C2×D3)⋊C4—42no—
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
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372#924—24no—
373C2×Dic3⋊C4—42no—
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392#898—24no—
393#898—24no—
394#886—24no—
395#886—24no—
396#885—24no—
397#885—24no—
398#885—42no—
399#882—42no—
400#882—42no—
401#882—42no—
402#877—42no—
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
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41C2×D311yescharacteristic
430C23×D4—31no—
431C23×D4—31no—
432#546—68no—
433#538—68no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#126—31no—
437C2×#126—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123C2×D311yescharacteristic, complemented
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121C2×D311yescharacteristic
457C2×#121C2×D311yescharacteristic, complemented
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×#117—31no—
472C22×C4⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#400—31no—
480#399—31no—
481#399—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#395C2×D311yescharacteristic, complemented
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
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#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic, complemented
512#393—31no—
513#393—31no—
514#393—31no—
515#393—31no—
516#393C2×D311yescharacteristic, complemented
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392C2×D311yescharacteristic, complemented
534#391—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#390—31no—
543#389—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#387—31no—
553#387—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386C2×D311yescharacteristic
568#386C2×D311yescharacteristic, complemented
569#386C2×D311yescharacteristic, complemented
570#386C2×D311yescharacteristic, complemented
571#385—31no—
572#385C2×D311yescharacteristic, complemented
573#385C2×D311yescharacteristic, complemented
574#382—31no—
575#382—31no—
576#381—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#379—31no—
581#379—31no—
582C4×C4⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C2×#95C2×D311yescharacteristic, complemented
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C3×#41—416no—
617C2×C3×Q8—22no—
618C2×C3×Q8—41no—
619C2×C3×Q8—41no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4C2×D414yes—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3C2×D414yes—
717C22×Dic3C2×D414yescomplemented
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729D3×D4—416no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—416no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12—41no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×C4×D3—22no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×Dic6—22no—
756C2×Dic6—41no—
757C2×Dic6—41no—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—41no—
760C3×C4⋊C4—41no—
761C3×C4⋊C4—41no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—41no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217C2×D414yes—
783#217C2×D414yescomplemented
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3C2×D414yescomplemented
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—41no—
842C4×Dic3—41no—
843C4×Dic3—41no—
844C4×Dic3C2×D414yescomplemented
845C25—31no—
846C25—31no—
847C25—31no—
848C2×#41—24no—
849C2×#41—42no—
850C2×#41—42no—
851C22×Q8—31no—
852C22×Q8C22×D311yescharacteristic
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—64no—
875C22×D4—122no—
876C22×D4—122no—
877C22×D4—122no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4C22×D311yescharacteristic
892C23×C4C22×D311yescharacteristic
893C23×C4C22×D311yescharacteristic
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—122no—
897#127—122no—
898#126—64no—
899#126—64no—
900#124—64no—
901#124—64no—
902#124—64no—
903#124—122no—
904#123—42no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—64no—
909C22⋊Q8—64no—
910C22⋊Q8—64no—
911#121—24no—
912#121—42no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—122no—
919#121—122no—
920#120—64no—
921#120—64no—
922#120—64no—
923#120—64no—
924#120—122no—
925#120—122no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930C4×D4—38no—
931C4×D4—64no—
932C4×D4—64no—
933#117—122no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—122no—
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—64no—
1006C2×C22⋊C4—64no—
1007C2×C22⋊C4—64no—
1008C2×C22⋊C4—122no—
1009C2×C22⋊C4—122no—
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026C2×C42—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95C22×D311yescharacteristic
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3C22×D412yes—
1078C23×C3C22×D412yes—
1079C23×C3H(5,𝔽2)12yes—
1080C23×C3H(5,𝔽2)12yes—
1081C23×C3C2511yescharacteristic
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—44no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3H(5,𝔽2)12yes—
1138C3×Q8—44no—
1139C3×D4—28no—
1140C3×D4—44no—
1141C3×D4—44no—
1142C3×D4—44no—
1143C3×D4—82no—
1144C3×D4—82no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—44no—
1177C2×C3×C4—44no—
1178C2×C3×C4—44no—
1179C2×C3×C4—44no—
1180C2×C3×C4—82no—
1181C2×C3×C4C22×D412yes—
1182C2×C3×C4H(5,𝔽2)12yes—
1183#67—44no—
1184#67—44no—
1185#67—44no—
1186#67—82no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190#67—82no—
1191#67—82no—
1192#67—82no—
1193#67—82no—
1194#67—82no—
1195#67—82no—
1196#67—82no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—44no—
1227C2×Dic3—44no—
1228C2×Dic3—82no—
1229C2×Dic3—82no—
1230C2×Dic3C22×D412yes—
1231C2×Dic3C22×D412yes—
1232C2×Dic3C22×D412yes—
1233C2×Dic3C22×D412yes—
1234D12—44no—
1235D12—44no—
1236D12—44no—
1237D12—44no—
1238D12—44no—
1239D12—82no—
1240D12—82no—
1241C4×D3—44no—
1242Dic6—82no—
1243C24—31no—
1244C24—31no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—62no—
1249C24—62no—
1250C24—62no—
1251C24—62no—
1252C24—62no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—121no—
1258C24—121no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24—121no—
1267C24—121no—
1268C24—121no—
1269C24C23×D311yescharacteristic
1270C24C23×D311yescharacteristic
1271C24C23×D311yescharacteristic
1272C24C23×D311yescharacteristic
1273#41—416no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×Q8—41no—
1277C2×Q8—62no—
1278C2×Q8—121no—
1279C2×Q8—121no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—1216no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—1216no—
1362C2×D4D3×D414yes—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—34no—
1376C22×C4—34no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—62no—
1392C22×C4—62no—
1393C22×C4—62no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—34no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4—121no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—34no—
1439C22⋊C4—34no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C42—34no—
1497C42—62no—
1498C42—62no—
1499C42—121no—
1500C42—121no—
1501C42—121no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—22no—
1508C22×C3—22no—
1509C22×C3—22no—
1510C22×C3—22no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3#53514yes—
1530C22×C3C23×D411yescharacteristic
1531C22×C3C2×H(5,𝔽2)11yescharacteristic
1532C22×C3C2×H(5,𝔽2)11yescharacteristic
1533C22×C3C2×H(5,𝔽2)11yescharacteristic
1534C22×C3C2×H(5,𝔽2)11yescharacteristic
1535C22×C3#58511yescharacteristic
1536C22×C3#58511yescharacteristic
1537C2×D3—22no—
1538C2×D3—22no—
1539C2×D3—22no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—88no—
1573C2×D3—88no—
1574C2×D3—88no—
1575C3×C4—22no—
1576C3×C4—22no—
1577C3×C4—41no—
1578C3×C4—41no—
1579C3×C4—41no—
1580C3×C4—41no—
1581C3×C4—41no—
1582C3×C4—41no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586Dic3—22no—
1587Dic3—22no—
1588Dic3—22no—
1589Dic3—22no—
1590Dic3—41no—
1591Dic3—41no—
1592Dic3—41no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—32no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—124no—
1657C23—124no—
1658C23—124no—
1659C23—124no—
1660C23—124no—
1661C23—124no—
1662C23—124no—
1663C23—124no—
1664C23—124no—
1665C23—242no—
1666C23—242no—
1667C23—242no—
1668C23—242no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23C2×D3×D412yes—
1678C23C2×D3×D412yes—
1679C23#100412yes—
1680C23#100412yes—
1681C23C24×D311yescharacteristic
1682Q8—44no—
1683Q8—242no—
1684D4—28no—
1685D4—44no—
1686D4—44no—
1687D4—44no—
1688D4—82no—
1689D4—82no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—124no—
1695D4—124no—
1696D4—124no—
1697D4—124no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701D4—242no—
1702D4—242no—
1703D4—242no—
1704D4—242no—
1705D4—242no—
1706D4—242no—
1707D4—242no—
1708D4—242no—
1709D4—242no—
1710D4—242no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—32no—
1743C2×C4—32no—
1744C2×C4—32no—
1745C2×C4—32no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—82no—
1780C2×C4—124no—
1781C2×C4—124no—
1782C2×C4—124no—
1783C2×C4—242no—
1784C2×C4—242no—
1785C2×C4C2×D3×D412yes—
1786C2×C4#100912yes—
1787C2×C3—24no—
1788C2×C3—42no—
1789C2×C3—81no—
1790C2×C3—81no—
1791C2×C3C2×#53511yescharacteristic
1792C2×C3#348811yescharacteristic
1793C2×C3#349611yescharacteristic
1794C2×C3#353211yescharacteristic
1795C2×C3#353311yescharacteristic
1796C2×C3#353411yescharacteristic
1797C2×C3#355811yescharacteristic
1798D3—42no—
1799D3—81no—
1800D3—81no—
1801D3—81no—
1802D3—81no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—62no—
1831C22—62no—
1832C22—62no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—248no—
1866C22—248no—
1867C22—248no—
1868C22#559214yes—
1869C22C22×D3×D411yescharacteristic
1870C22C2×#100411yescharacteristic
1871C22C2×#100411yescharacteristic
1872C22C2×#100911yescharacteristic
1873C22#596411yescharacteristic
1874C22D3×H(5,𝔽2)11yescharacteristic
1875C22#596811yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—62no—
1888C4—62no—
1889C4—62no—
1890C4—62no—
1891C4—121no—
1892C4—121no—
1893C4—121no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C3#4051211yescharacteristic, complemented, Sylow
1899C2—24no—
1900C2—42no—
1901C2—81no—
1902C2—81no—
1903C2—122no—
1904C2—241no—
1905C2—241no—
1906C2—241no—
1907C2—241no—
1908C2C2×#559211yescharacteristic
1909C2#8625411yescharacteristic
1910C2#8638311yescharacteristic
1911C2#8662911yescharacteristic
1912C2#8666711yescharacteristic
1913C2#8670211yescharacteristic
1914C2#8670411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2430C2
hypercenter#2430D3
hypocenterC3#40512
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#5829C2semidirect
2. C2×#5617C2semidirect
3. C3×#2430C2semidirect
4. #84096C2semidirect
5. #82901C2semidirect
6. #82900C2semidirect
7. #82702C2semidirect
8. #82653C2semidirect
9. #82642C2semidirect
10. #77222C2semidirect
11. #77209C2semidirect
12. #77159C2semidirect
13. #77129C2semidirect
14. #76885C2semidirect
15. #76827C2semidirect
16. #76764C2semidirect
17. #76698C2semidirect
18. #74905C2semidirect
19. #74905C2semidirect
20. #74884C2semidirect
21. #74814C2semidirect
22. #74792C2semidirect
23. #74753C2semidirect
24. #74728C2semidirect
25. #74673C2semidirect
26. #74623C2semidirect
27. #74602C2semidirect
28. #74530C2semidirect
29. #74526C2semidirect
30. #73352C2semidirect
31. C2×#4672C2semidirect
36. C2×C3×#123C22semidirect
38. C2×C3×#121C22semidirect
40. C2×#947C22semidirect
41. C2×#946C22semidirect
43. C2×#940C22semidirect
46. C2×#939C22semidirect
47. C2×#939C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
53. C2×#937C22semidirect
54. C2×#937C22semidirect
55. C2×#937C22semidirect
56. C2×#937C22semidirect
58. C2×D4×Dic3C22semidirect
59. C2×#930C22semidirect
61. C2×#929C22semidirect
62. C2×C4×#67C22semidirect
65. C22×(C2×D3)⋊C4C22semidirect
66. C22×(C2×D3)⋊C4C22semidirect
67. C22×(C2×D3)⋊C4C22semidirect
68. C2×#924C22semidirect
69. C22×Dic3⋊C4C22semidirect
71. C2×#898C22semidirect
72. C2×#898C22semidirect
73. C2×#886C22semidirect
74. C2×#886C22semidirect
75. C2×#885C22semidirect
76. C2×#885C22semidirect
77. C2×#885C22semidirect
81. C2×#877C22semidirect
82. C3×#395C22semidirect
83. C3×#394C22semidirect
84. C3×#393C22semidirect
85. C3×#392C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#385C22semidirect
91. C3×#385C22semidirect
92. C2×C3×#95C22semidirect
93. #5231C22semidirect
94. #5231C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5222C22semidirect
100. #5220C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5211C22semidirect
108. C4×#217C22semidirect
109. #4994C22semidirect
110. #4994C22semidirect
111. #4994C22semidirect
112. #4993C22semidirect
113. #4993C22semidirect
114. #4991C22semidirect
115. #4990C22semidirect
116. #4990C22semidirect
117. #4989C22semidirect
119. #4988C22semidirect
120. #4988C22semidirect
121. #4988C22semidirect
122. #4976C22semidirect
123. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4958C22semidirect
143. #4958C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4956C22semidirect
150. #4955C22semidirect
151. #4948C22semidirect
152. #4945C22semidirect
153. #4944C22semidirect
154. #4942C22semidirect
155. #4942C22semidirect
156. #4942C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4675C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4669C22semidirect
179. #4669C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4650C22semidirect
187. #4650C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
213. #2430D3semidirect
319. D4×Dic3D4semidirect
446. C2×#123C2×D3semidirect
457. C2×#121C2×D3semidirect
490. #395C2×D3semidirect
511. #394C2×D3semidirect
516. #393C2×D3semidirect
533. #392C2×D3semidirect
568. #386C2×D3semidirect
569. #386C2×D3semidirect
570. #386C2×D3semidirect
572. #385C2×D3semidirect
573. #385C2×D3semidirect
585. C2×#95C2×D3semidirect
717. C22×Dic3C2×D4semidirect
783. #217C2×D4semidirect
826. C4⋊Dic3C2×D4semidirect
844. C4×Dic3C2×D4semidirect
1898. C3#40512semidirect

Maximal subgroups

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

subgroupindex
C2×#58292
C2×#56172
C3×#24302
#840962
#829012
#829002
#827022
#826532
#826422
#772222
#772092
#771592
#771292
#768852
#768272
#767642
#766982
#749052
#748842
#748142
#747922
#747532
#747282
#746732
#746232
#746022
#745302
#745262
#733522
C2×#46722
#405123