Finite Group Databasebeta

← #11098148

Subgroups — #11098148

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×#5591C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3C3×#2433C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5C2×#5222C211yesmaximal, characteristic, complemented
6#83190C211yesmaximal, characteristic, complemented
7#83189C211yesmaximal, characteristic, complemented
8#83182C211yesmaximal, characteristic, complemented
9#83178C211yesmaximal, characteristic, complemented
10#82651C211yesmaximal, characteristic, complemented
11#82642C211yesmaximal, characteristic, complemented
12#82606C211yesmaximal, characteristic, complemented
13#82592C211yesmaximal, characteristic, complemented
14#82591C211yesmaximal, characteristic, complemented
15#82590C211yesmaximal, characteristic, complemented
16#82589C211yesmaximal, characteristic, complemented
17#82581C211yesmaximal, characteristic, complemented
18#76775C211yesmaximal, characteristic, complemented
19#76766C211yesmaximal, characteristic, complemented
20#76761C211yesmaximal, characteristic, complemented
21#76745C211yesmaximal, characteristic, complemented
22#76729C211yesmaximal, characteristic, complemented
23#76721C211yesmaximal, characteristic, complemented
24#76719C211yesmaximal, characteristic, complemented
25#76704C211yesmaximal, characteristic, complemented
26#76470C211yesmaximal, characteristic, complemented
27#76437C211yesmaximal, characteristic, complemented
28#76397C211yesmaximal, characteristic, complemented
29#76377C211yesmaximal, characteristic, complemented
30#73504C211yesmaximal, characteristic, complemented
31#73461C211yesmaximal, characteristic, complemented
32#40512—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C2×C3×#127C2211yescharacteristic
37C2×C3×#127C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic, complemented
42C2×C3×#120C2211yescharacteristic, complemented
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C22×#217C2211yescharacteristic
46C22×#217C2211yescharacteristic
47C22×#217C2211yescharacteristic, complemented
48C22×#217C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic, complemented
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#938C2211yescharacteristic, complemented
56C2×#938C2211yescharacteristic, complemented
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic
59C2×#937C2211yescharacteristic, complemented
60C2×#937C2211yescharacteristic, complemented
61C2×#936C2211yescharacteristic, complemented
62C2×#936C2211yescharacteristic, complemented
63C2×#935C2211yescharacteristic, complemented
64C2×#935C2211yescharacteristic, complemented
65C2×D4×Dic3C2211yescharacteristic, complemented
66C2×D4×Dic3C2211yescharacteristic, complemented
67C22×Dic3⋊C4C2211yescharacteristic, complemented
68#5593—28no—
69#5591—28no—
70C2×#886C2211yescharacteristic
71C2×#885C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic, complemented
75C2×#67⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#879C2211yescharacteristic, complemented
78C2×#879C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic
84C3×#392C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#390C2211yescharacteristic
87C3×#390C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89#5247C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5222C2211yescharacteristic
104#5222C2211yescharacteristic
105#5222C2211yescharacteristic
106#5222C2211yescharacteristic
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5222C2211yescharacteristic, complemented
110#5222C2211yescharacteristic, complemented
111#5222C2211yescharacteristic, complemented
112#5222C2211yescharacteristic, complemented
113#5222C2211yescharacteristic, complemented
114#5222C2211yescharacteristic, complemented
115#5222C2211yescharacteristic, complemented
116#5222C2211yescharacteristic, complemented
117#5222C2211yescharacteristic, complemented
118#5221C2211yescharacteristic, complemented
119#5221C2211yescharacteristic, complemented
120#5221C2211yescharacteristic, complemented
121#5220C2211yescharacteristic
122#5220C2211yescharacteristic
123#5220C2211yescharacteristic, complemented
124#5220C2211yescharacteristic, complemented
125#5220C2211yescharacteristic, complemented
126#5220C2211yescharacteristic, complemented
127#5220C2211yescharacteristic, complemented
128#5220C2211yescharacteristic, complemented
129#5220C2211yescharacteristic, complemented
130#5220C2211yescharacteristic, complemented
131#5213C2211yescharacteristic
132#5213C2211yescharacteristic
133C2×C3⋊#95C2211yescharacteristic, complemented
134#4994C2211yescharacteristic, complemented
135#4989C2211yescharacteristic, complemented
136#4979C2211yescharacteristic, complemented
137#4976C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4958C2211yescharacteristic
145#4958C2211yescharacteristic
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4953C2211yescharacteristic, complemented
154#4952C2211yescharacteristic, complemented
155#4952C2211yescharacteristic, complemented
156#4949C2211yescharacteristic, complemented
157#4949C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4948C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4947C2211yescharacteristic, complemented
162#4947C2211yescharacteristic, complemented
163#4947C2211yescharacteristic, complemented
164#4947C2211yescharacteristic, complemented
165#4946C2211yescharacteristic, complemented
166#4946C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4945C2211yescharacteristic, complemented
170#4945C2211yescharacteristic, complemented
171#4943C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173#4942C2211yescharacteristic, complemented
174Dic3×C22⋊C4C2211yescharacteristic, complemented
175#4940C2211yescharacteristic, complemented
176#4940C2211yescharacteristic, complemented
177#4940C2211yescharacteristic, complemented
178#4936C2211yescharacteristic, complemented
179#4933C2211yescharacteristic, complemented
180C4×Dic3⋊C4C2211yescharacteristic, complemented
181#4929C2211yescharacteristic, complemented
182#4674C2211yescharacteristic, complemented
183#4673C2211yescharacteristic, complemented
184#4669C2211yescharacteristic, complemented
185#4667C2211yescharacteristic, complemented
186#4659C2211yescharacteristic, complemented
187#4659C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4650C2211yescharacteristic, 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#2433D311yescharacteristic, complemented
213#2430—31no—
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2404—31no—
218#2403—31no—
219C2×#394—31no—
220#2352—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—42no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C22×#67—24no—
244C22×#67—42no—
245C22×#67—42no—
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C2×#237—24no—
266C2×#237—42no—
267C2×#237—42no—
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#127—42no—
273C3×#127—42no—
274C3×#121—42no—
275C3×#120—24no—
276C3×#120—24no—
277C3×#120—42no—
278C3×#120—42no—
279C2×C3×C4⋊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×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294#953—24no—
295#953—42no—
296C2×#217—24no—
297C2×#217—24no—
298C2×#217—42no—
299C2×#217—42no—
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336#939—24no—
337#939—24no—
338#939—24no—
339#939—24no—
340#939—42no—
341#939—42no—
342#938—24no—
343#938—24no—
344#937—24no—
345#937—42no—
346#937—42no—
347#937—42no—
348#936—24no—
349#936—42no—
350#935—24no—
351#935—42no—
352D4×Dic3—24no—
353D4×Dic3—24no—
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×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×Dic3⋊C4—42no—
373C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#886—24no—
392#885—24no—
393#885—24no—
394#883—24no—
395#883—24no—
396#67⋊C4D418yescomplemented
397D3×C22⋊C4—24no—
398#879—24no—
399#879—24no—
400#878—24no—
401#878—24no—
402#872—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×#41—31no—
430C23×D4—31no—
431C23×D4C2×D311yescharacteristic
432#546—68no—
433#538—68no—
434C2×#127C2×D311yescharacteristic
435C2×#127C2×D311yescharacteristic, complemented
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×#123—31no—
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×#121—31no—
457C2×#121C2×D311yescharacteristic, complemented
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120C2×D311yescharacteristic
465C2×#120C2×D311yescharacteristic
466C2×#120C2×D311yescharacteristic, complemented
467C2×#120C2×D311yescharacteristic, complemented
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#395—31no—
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#394—31no—
512#393—31no—
513#393—31no—
514#393—31no—
515#393—31no—
516#393—31no—
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#392C2×D311yescharacteristic
531#392C2×D311yescharacteristic
532#392C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic
542#390C2×D311yescharacteristic, complemented
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#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#385—31no—
572#385—31no—
573#385—31no—
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⋊C4C2×D311yescharacteristic, complemented
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
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—22no—
632C2×C3×D4—22no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4—41no—
661C2×C3×D4—416no—
662C22×C3×C4—22no—
663C22×C3×C4—22no—
664C22×C3×C4—41no—
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
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—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—416no—
709C2×#67C2×D414yes—
710C22×Dic3—22no—
711C22×Dic3—22no—
712C22×Dic3—22no—
713C22×Dic3—22no—
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3—41no—
726C22×Dic3—41no—
727C22×Dic3—41no—
728C22×Dic3—41no—
729C22×Dic3—41no—
730C22×Dic3C2×D414yes—
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745#237—416no—
746C2×C4×D3—22no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3C2×D414yescomplemented
752C2×Dic6—22no—
753C2×Dic6—22no—
754C2×Dic6—41no—
755C2×Dic6—41no—
756C2×Dic6—41no—
757C2×Dic6—41no—
758C3×C4⋊C4—41no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4C2×D414yes—
771C3×C42—22no—
772C3×C42—41no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217—41no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yescomplemented
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—41no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4—41no—
840Dic3⋊C4C2×D414yescomplemented
841C4×Dic3—22no—
842C4×Dic3—41no—
843C4×Dic3—41no—
844C4×Dic3C2×D414yescomplemented
845C25—31no—
846C25C22×D311yescharacteristic
847C25C22×D311yescharacteristic
848C2×#41—64no—
849C2×#41—122no—
850C2×#41—122no—
851C22×Q8—31no—
852C22×Q8—31no—
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—42no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—64no—
869C22×D4—122no—
870C22×D4—122no—
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C22×D4C22×D311yescharacteristic
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
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×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4C22×D311yescharacteristic
896#127—42no—
897#127—42no—
898#126—64no—
899#126—64no—
900#124—64no—
901#124—64no—
902#124—64no—
903#124—122no—
904#123—64no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—122no—
909C22⋊Q8—64no—
910C22⋊Q8—64no—
911#121—42no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—122no—
919#121—122no—
920#120—24no—
921#120—24no—
922#120—42no—
923#120—42no—
924#120—64no—
925#120—64no—
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—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—122no—
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—64no—
1005C2×C22⋊C4—64no—
1006C2×C22⋊C4—64no—
1007C2×C22⋊C4—122no—
1008C2×C22⋊C4—122no—
1009C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
1026C2×C42C22×D311yescharacteristic
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#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
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×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—44no—
1099C23×C3—44no—
1100C23×C3—44no—
1101C23×C3—44no—
1102C23×C3—44no—
1103C23×C3—44no—
1104C23×C3—44no—
1105C23×C3—82no—
1106C23×C3—82no—
1107C23×C3—82no—
1108C23×C3—82no—
1109C23×C3—82no—
1110C23×C3—82no—
1111C23×C3—82no—
1112C23×C3C22×D412yes—
1113C23×C3H(5,𝔽2)12yes—
1114C23×C3H(5,𝔽2)12yes—
1115C23×C3H(5,𝔽2)12yes—
1116C23×C3C2511yescharacteristic
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3C22×D412yes—
1138C3×D4—44no—
1139C3×D4—44no—
1140C3×D4—44no—
1141C3×D4—44no—
1142C3×D4—44no—
1143C3×D4—44no—
1144C3×D4—44no—
1145C3×D4—82no—
1146C3×D4—82no—
1147C3×D4—82no—
1148C3×D4—82no—
1149C3×D4—82no—
1150C3×D4—82no—
1151C3×D4—82no—
1152C3×D4—82no—
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—44no—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4H(5,𝔽2)12yes—
1178#67—28no—
1179#67—44no—
1180#67—44no—
1181#67—44no—
1182#67—44no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186#67—82no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
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—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—44no—
1230C2×Dic3—44no—
1231C2×Dic3—44no—
1232C2×Dic3—44no—
1233C2×Dic3—82no—
1234C2×Dic3—82no—
1235C2×Dic3—82no—
1236C2×Dic3C22×D412yes—
1237C2×Dic3C22×D412yes—
1238C2×Dic3C22×D412yes—
1239C4×D3—44no—
1240C4×D3—44no—
1241Dic6—44no—
1242Dic6—82no—
1243C24—22no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—31no—
1251C24—31no—
1252C24—41no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—62no—
1260C24—62no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24C23×D311yescharacteristic
1267C24C23×D311yescharacteristic
1268C24C23×D311yescharacteristic
1269C24C23×D311yescharacteristic
1270C24C23×D311yescharacteristic
1271C24C23×D311yescharacteristic
1272C24C23×D311yescharacteristic
1273#41—1216no—
1274C2×Q8—62no—
1275C2×Q8—62no—
1276C2×Q8—121no—
1277C2×Q8—121no—
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—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—34no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—416no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
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—121no—
1362C2×D4—1216no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—34no—
1369C22×C4—34no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—41no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—62no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
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×C4—121no—
1405C22×C4—121no—
1406C22×C4—121no—
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—34no—
1416C4⋊C4—41no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
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—22no—
1439C22⋊C4—34no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—62no—
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—121no—
1471C22⋊C4—121no—
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⋊C4D3×D414yes—
1496C42—22no—
1497C42—34no—
1498C42—41no—
1499C42—62no—
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—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—88no—
1551C22×C3—88no—
1552C22×C3#53514yes—
1553C22×C3C23×D411yescharacteristic
1554C22×C3C2×H(5,𝔽2)11yescharacteristic
1555C22×C3C2×H(5,𝔽2)11yescharacteristic
1556C22×C3C2×H(5,𝔽2)11yescharacteristic
1557C22×C3C2×H(5,𝔽2)11yescharacteristic
1558C22×C3#58511yescharacteristic
1559C22×C3#58511yescharacteristic
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
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—41no—
1573C2×D3—41no—
1574C2×D3—88no—
1575C3×C4—22no—
1576C3×C4—22no—
1577C3×C4—22no—
1578C3×C4—41no—
1579C3×C4—41no—
1580C3×C4—41no—
1581C3×C4—41no—
1582C3×C4—41no—
1583Dic3—22no—
1584Dic3—22no—
1585Dic3—22no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
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—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—32no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—44no—
1649C23—44no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—82no—
1664C23—82no—
1665C23—82no—
1666C23—82no—
1667C23—82no—
1668C23—82no—
1669C23—82no—
1670C23—124no—
1671C23—124no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23C2×D3×D412yes—
1678C23#100412yes—
1679C23#100412yes—
1680C23#100412yes—
1681C23C24×D311yescharacteristic
1682Q8—124no—
1683Q8—242no—
1684D4—44no—
1685D4—44no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690D4—44no—
1691D4—68no—
1692D4—82no—
1693D4—82no—
1694D4—82no—
1695D4—82no—
1696D4—82no—
1697D4—82no—
1698D4—82no—
1699D4—82no—
1700D4—124no—
1701D4—124no—
1702D4—124no—
1703D4—124no—
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—32no—
1733C2×C4—32no—
1734C2×C4—32no—
1735C2×C4—44no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
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—124no—
1776C2×C4—124no—
1777C2×C4—124no—
1778C2×C4—124no—
1779C2×C4—124no—
1780C2×C4—124no—
1781C2×C4—242no—
1782C2×C4—242no—
1783C2×C4—242no—
1784C2×C4C2×D3×D412yes—
1785C2×C4C2×D3×D412yes—
1786C2×C4#100412yes—
1787C2×C3—24no—
1788C2×C3—42no—
1789C2×C3—81no—
1790C2×C3—81no—
1791C2×C3—81no—
1792C2×C3—81no—
1793C2×C3—81no—
1794C2×C3C2×#53511yescharacteristic
1795C2×C3#348811yescharacteristic
1796C2×C3#349611yescharacteristic
1797C2×C3#353211yescharacteristic
1798C2×C3#353311yescharacteristic
1799C2×C3#353411yescharacteristic
1800C2×C3#355811yescharacteristic
1801D3—42no—
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—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—62no—
1852C22—62no—
1853C22—62no—
1854C22—88no—
1855C22—88no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—248no—
1868C22#571514yes—
1869C22C22×D3×D411yescharacteristic
1870C22C2×#100411yescharacteristic
1871C22C2×#100411yescharacteristic
1872C22C2×#100411yescharacteristic
1873C22C2×#100411yescharacteristic
1874C22#596611yescharacteristic
1875C22#596611yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—62no—
1885C4—62no—
1886C4—62no—
1887C4—121no—
1888C4—121no—
1889C4—121no—
1890C4—121no—
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—81no—
1904C2—81no—
1905C2—81no—
1906C2—122no—
1907C2—241no—
1908C2#8592111yescharacteristic
1909C2C2×#571511yescharacteristic
1910C2#8632111yescharacteristic
1911C2#8660711yescharacteristic
1912C2#8661311yescharacteristic
1913C2#8661811yescharacteristic
1914C2#8662111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2433C2
hypercenter#2433D3
hypocenterC3#40512
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. C2×#5591C2semidirect
2. C2×#5593C2semidirect
3. C3×#2433C2semidirect
4. #84052C2semidirect
5. C2×#5222C2semidirect
6. #83190C2semidirect
7. #83189C2semidirect
8. #83182C2semidirect
9. #83178C2semidirect
10. #82651C2semidirect
11. #82642C2semidirect
12. #82606C2semidirect
13. #82592C2semidirect
14. #82591C2semidirect
15. #82590C2semidirect
16. #82589C2semidirect
17. #82581C2semidirect
18. #76775C2semidirect
19. #76766C2semidirect
20. #76761C2semidirect
21. #76745C2semidirect
22. #76729C2semidirect
23. #76721C2semidirect
24. #76719C2semidirect
25. #76704C2semidirect
26. #76470C2semidirect
27. #76437C2semidirect
28. #76397C2semidirect
29. #76377C2semidirect
30. #73504C2semidirect
31. #73461C2semidirect
37. C2×C3×#127C22semidirect
38. C2×C3×#121C22semidirect
41. C2×C3×#120C22semidirect
42. C2×C3×#120C22semidirect
47. C22×#217C22semidirect
48. C22×#217C22semidirect
52. C2×#939C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#938C22semidirect
56. C2×#938C22semidirect
59. C2×#937C22semidirect
60. C2×#937C22semidirect
61. C2×#936C22semidirect
62. C2×#936C22semidirect
63. C2×#935C22semidirect
64. C2×#935C22semidirect
65. C2×D4×Dic3C22semidirect
66. C2×D4×Dic3C22semidirect
67. C22×Dic3⋊C4C22semidirect
71. C2×#885C22semidirect
72. C2×#885C22semidirect
73. C2×#883C22semidirect
74. C2×#883C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#879C22semidirect
78. C2×#879C22semidirect
79. C2×#878C22semidirect
80. C2×#878C22semidirect
81. C2×#872C22semidirect
84. C3×#392C22semidirect
85. C3×#392C22semidirect
87. C3×#390C22semidirect
88. C3×C4×C22⋊C4C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
109. #5222C22semidirect
110. #5222C22semidirect
111. #5222C22semidirect
112. #5222C22semidirect
113. #5222C22semidirect
114. #5222C22semidirect
115. #5222C22semidirect
116. #5222C22semidirect
117. #5222C22semidirect
118. #5221C22semidirect
119. #5221C22semidirect
120. #5221C22semidirect
123. #5220C22semidirect
124. #5220C22semidirect
125. #5220C22semidirect
126. #5220C22semidirect
127. #5220C22semidirect
128. #5220C22semidirect
129. #5220C22semidirect
130. #5220C22semidirect
133. C2×C3⋊#95C22semidirect
134. #4994C22semidirect
135. #4989C22semidirect
136. #4979C22semidirect
137. #4976C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
152. #4955C22semidirect
153. #4953C22semidirect
154. #4952C22semidirect
155. #4952C22semidirect
156. #4949C22semidirect
157. #4949C22semidirect
158. #4948C22semidirect
159. #4948C22semidirect
160. #4948C22semidirect
161. #4947C22semidirect
162. #4947C22semidirect
163. #4947C22semidirect
164. #4947C22semidirect
165. #4946C22semidirect
166. #4946C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4945C22semidirect
170. #4945C22semidirect
171. #4943C22semidirect
172. #4942C22semidirect
173. #4942C22semidirect
174. Dic3×C22⋊C4C22semidirect
175. #4940C22semidirect
176. #4940C22semidirect
177. #4940C22semidirect
178. #4936C22semidirect
179. #4933C22semidirect
180. C4×Dic3⋊C4C22semidirect
181. #4929C22semidirect
182. #4674C22semidirect
183. #4673C22semidirect
184. #4669C22semidirect
185. #4667C22semidirect
186. #4659C22semidirect
187. #4659C22semidirect
188. #4652C22semidirect
189. #4650C22semidirect
212. #2433D3semidirect
396. #67⋊C4D4semidirect
435. C2×#127C2×D3semidirect
457. C2×#121C2×D3semidirect
466. C2×#120C2×D3semidirect
467. C2×#120C2×D3semidirect
532. #392C2×D3semidirect
533. #392C2×D3semidirect
542. #390C2×D3semidirect
584. C4×C22⋊C4C2×D3semidirect
751. C2×C4×D3C2×D4semidirect
822. (C2×D3)⋊C4C2×D4semidirect
840. Dic3⋊C4C2×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×#55912
C2×#55932
C3×#24332
#840522
C2×#52222
#831902
#831892
#831822
#831782
#826512
#826422
#826062
#825922
#825912
#825902
#825892
#825812
#767752
#767662
#767612
#767452
#767292
#767212
#767192
#767042
#764702
#764372
#763972
#763772
#735042
#734612
#405123