Finite Group Databasebeta

← #11233902

Subgroups — #11233902

Order 768.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2697C211yesmaximal, characteristic, complemented
2#82852C211yesmaximal, characteristic, complemented
3#82849C211yesmaximal, characteristic, complemented
4#82589C211yesmaximal, characteristic, complemented
5#82588C211yesmaximal, characteristic
6#77713C211yesmaximal, characteristic, complemented
7#77607C211yesmaximal, characteristic, complemented
8#77495C211yesmaximal, characteristic, complemented
9#77493C211yesmaximal, characteristic, complemented
10#77437C211yesmaximal, characteristic, complemented
11#77316C211yesmaximal, characteristic, complemented
12#77314C211yesmaximal, characteristic, complemented
13#77282C211yesmaximal, characteristic, complemented
14#77143C211yesmaximal, characteristic, complemented
15#77059C211yesmaximal, characteristic, complemented
16#76936C211yesmaximal, characteristic, complemented
17#76906C211yesmaximal, characteristic, complemented
18#76455C211yesmaximal, characteristic, complemented
19#76352C211yesmaximal, characteristic, complemented
20#75526C211yesmaximal, characteristic, complemented
21#75511C211yesmaximal, characteristic, complemented
22#75476C211yesmaximal, characteristic, complemented
23#75474C211yesmaximal, characteristic, complemented
24#74901C211yesmaximal, characteristic, complemented
25#74841C211yesmaximal, characteristic, complemented
26#74679C211yesmaximal, characteristic, complemented
27#74665C211yesmaximal, characteristic, complemented
28#73850C211yesmaximal, characteristic, complemented
29#73839C211yesmaximal, characteristic, complemented
30#73834C211yesmaximal, characteristic, complemented
31#73819C211yesmaximal, characteristic, complemented
32#45367—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×#120C2211yescharacteristic
36C2×#953C2211yescharacteristic
37C22×#217C2211yescharacteristic
38C2×#940C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#936C2211yescharacteristic, complemented
43C2×C4×#67C2211yescharacteristic, complemented
44C2×C4×#67C2211yescharacteristic, complemented
45C2×#898C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic, complemented
47C2×#894C2211yescharacteristic, complemented
48C2×#887C2211yescharacteristic, complemented
49C2×#886C2211yescharacteristic, complemented
50C2×#883C2211yescharacteristic, complemented
51C2×#882C2211yescharacteristic
52C2×#67⋊C4C2211yescharacteristic
53C2×#67⋊C4C2211yescharacteristic
54C2×#67⋊C4C2211yescharacteristic, complemented
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×#879C2211yescharacteristic, complemented
57C2×#878C2211yescharacteristic, complemented
58C2×#877C2211yescharacteristic
59C2×#877C2211yescharacteristic
60C2×#875C2211yescharacteristic, complemented
61C3×#397C2211yescharacteristic, complemented
62C3×#397C2211yescharacteristic, complemented
63C3×#396C2211yescharacteristic
64C3×#396C2211yescharacteristic, complemented
65C3×#394C2211yescharacteristic
66C3×#394C2211yescharacteristic, complemented
67C3×#390C2211yescharacteristic, complemented
68C3×#388C2211yescharacteristic
69C3×#388C2211yescharacteristic, complemented
70C3×#386C2211yescharacteristic
71C3×#386C2211yescharacteristic, complemented
72C3×#379C2211yescharacteristic
73C3×#379C2211yescharacteristic
74#5247C2211yescharacteristic
75#5223C2211yescharacteristic
76#5223C2211yescharacteristic
77#5222C2211yescharacteristic
78#5222C2211yescharacteristic, complemented
79#5221C2211yescharacteristic
80#5220C2211yescharacteristic, complemented
81#5220C2211yescharacteristic, complemented
82#5213C2211yescharacteristic, complemented
83#5210C2211yescharacteristic, complemented
84#4994C2211yescharacteristic, complemented
85#4994C2211yescharacteristic, complemented
86#4992C2211yescharacteristic, complemented
87#4991C2211yescharacteristic, complemented
88#4991C2211yescharacteristic, complemented
89#4990C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4988C2211yescharacteristic, complemented
92#4982C2211yescharacteristic, complemented
93#4981C2211yescharacteristic, complemented
94#4979C2211yescharacteristic, complemented
95#4976C2211yescharacteristic, complemented
96#4975C2211yescharacteristic, complemented
97Dic3×C4⋊C4C2211yescharacteristic, complemented
98Dic3×C4⋊C4C2211yescharacteristic, complemented
99Dic3×C4⋊C4C2211yescharacteristic, complemented
100#4961C2211yescharacteristic
101#4961C2211yescharacteristic, complemented
102#4961C2211yescharacteristic, complemented
103#4961C2211yescharacteristic, complemented
104#4960C2211yescharacteristic
105#4960C2211yescharacteristic
106#4959C2211yescharacteristic
107#4959C2211yescharacteristic, complemented
108#4959C2211yescharacteristic, complemented
109#4959C2211yescharacteristic, complemented
110#4959C2211yescharacteristic, complemented
111#4959C2211yescharacteristic, complemented
112#4958C2211yescharacteristic
113#4958C2211yescharacteristic
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4953C2211yescharacteristic, complemented
140#4951C2211yescharacteristic
141#4951C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4951C2211yescharacteristic, complemented
144#4949C2211yescharacteristic
145#4948C2211yescharacteristic
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4947C2211yescharacteristic
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic
154#4944C2211yescharacteristic, complemented
155#4943C2211yescharacteristic, complemented
156#4942C2211yescharacteristic
157#4942C2211yescharacteristic, complemented
158Dic3×C22⋊C4C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
162C4×Dic3⋊C4C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164#4676C2211yescharacteristic, complemented
165#4675C2211yescharacteristic, complemented
166#4674C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4658C2211yescharacteristic, complemented
180#4651C2211yescharacteristic, complemented
181#4651C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2756—31no—
189#2756—31no—
190#2749—31no—
191#2749—31no—
192#2697—31no—
193#2697D311yescharacteristic, complemented
194#2685—31no—
195#2685—31no—
196#2554—31no—
197#2554—31no—
198#2548—31no—
199#2538—31no—
200#2534—31no—
201#2534—31no—
202#2513—31no—
203#2512—31no—
204#2500—31no—
205#2472—31no—
206#2472—31no—
207#2461—31no—
208#2461—31no—
209#2445—31no—
210#2445—31no—
211#2433—31no—
212#2396—31no—
213#2366—31no—
214#2357—31no—
215#2347—31no—
216D4×C22⋊C4—31no—
217#2324—31no—
218#2309—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67—24no—
226C22×#67—24no—
227C22×#67—42no—
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×#123—42no—
248C3×#120—42no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273#953—42no—
274C2×#217—42no—
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#940—24no—
294#940—42no—
295#939—24no—
296#937—42no—
297#936—42no—
298C4×#67—42no—
299C4×#67—42no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—42no—
361#896—42no—
362#894—42no—
363#887—42no—
364#886—42no—
365#883—42no—
366#882—42no—
367#67⋊C4—24no—
368#67⋊C4—42no—
369#67⋊C4—42no—
370D3×C22⋊C4—42no—
371#879—42no—
372#878—42no—
373#877—24no—
374#877—42no—
375#875—42no—
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C23×D4—31no—
405C2×#127—31no—
406C2×#127—31no—
407C2×#126—31no—
408C2×#126—31no—
409C2×#124—31no—
410C2×#124—31no—
411C2×#123—31no—
412C2×#123—31no—
413C2×#123—31no—
414C2×#123C2×D311yescharacteristic, complemented
415C2×C22⋊Q8—31no—
416C2×C22⋊Q8—31no—
417C2×#121—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×#120C2×D311yescharacteristic
422C2×C4×Q8—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×C4×D4—31no—
428C2×#117—31no—
429C2×#117—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432#400—31no—
433#399—31no—
434#398—31no—
435#398—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397C2×D311yescharacteristic, complemented
441#397C2×D311yescharacteristic, complemented
442#396—31no—
443#396—31no—
444#396—31no—
445#396—31no—
446#396—31no—
447#396—31no—
448#396C2×D311yescharacteristic
449#396C2×D311yescharacteristic, complemented
450#395—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#394—31no—
465#394C2×D311yescharacteristic
466#394C2×D311yescharacteristic, complemented
467#393—31no—
468#392—31no—
469#392—31no—
470#392—31no—
471#392—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390—31no—
478#390—31no—
479#390—31no—
480#390—31no—
481#390—31no—
482#390—31no—
483#390—31no—
484#390—31no—
485#390—31no—
486#390—31no—
487#390—31no—
488#390—31no—
489#390—31no—
490#390—31no—
491#390—31no—
492#390C2×D311yescharacteristic, complemented
493#389—31no—
494#389—31no—
495#389—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388C2×D311yescharacteristic
515#388C2×D311yescharacteristic, complemented
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386C2×D311yescharacteristic
529#386C2×D311yescharacteristic, complemented
530#385—31no—
531#385—31no—
532#384—31no—
533#383—31no—
534#383—31no—
535#382—31no—
536#381—31no—
537#381—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#379—31no—
542#379—31no—
543#379—31no—
544#379—31no—
545#379C2×D311yescharacteristic
546#379C2×D311yescharacteristic
547C4×C4⋊C4—31no—
548C4×C4⋊C4—31no—
549C4×C4⋊C4—31no—
550C4×C4⋊C4—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C4⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558C4×C22⋊C4—31no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3—41no—
564C24×C3—41no—
565C24×C3—41no—
566C24×C3C2411yescharacteristic
567C24×C3C2411yescharacteristic
568C24×C3C2411yescharacteristic
569C24×C3C2411yescharacteristic
570C23×D3—22no—
571C23×D3—22no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—41no—
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—416no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67#4114yes—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3#4114yes—
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×Dic6—22no—
672C2×Dic6—22no—
673C2×Dic6—41no—
674C3×C4⋊C4—22no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C42—41no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746C4⋊Dic3—41no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—41no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763C4×Dic3—22no—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25C22×D311yescharacteristic
778C22×Q8—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—64no—
792C22×D4—64no—
793C22×D4—122no—
794C22×D4C22×D311yescharacteristic
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4C22×D311yescharacteristic
804#127—64no—
805#127—122no—
806#126—122no—
807#126—122no—
808#124—122no—
809#124—122no—
810#123—42no—
811#123—122no—
812#123—122no—
813#123—122no—
814C22⋊Q8—122no—
815C22⋊Q8—122no—
816#121—64no—
817#120—42no—
818#120—122no—
819#120—122no—
820#120—122no—
821C4×Q8—122no—
822C4×D4—64no—
823C4×D4—122no—
824C4×D4—122no—
825C4×D4—122no—
826C4×D4—122no—
827#117—64no—
828#117—122no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4C22×D311yescharacteristic
851C2×C4⋊C4C22×D311yescharacteristic
852C2×C4⋊C4C22×D311yescharacteristic
853C2×C4⋊C4C22×D311yescharacteristic
854C2×C4⋊C4C22×D311yescharacteristic
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—122no—
900C2×C22⋊C4—122no—
901C2×C22⋊C4C22×D311yescharacteristic
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42C22×D311yescharacteristic
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—44no—
988C23×C3—44no—
989C23×C3—82no—
990C23×C3—82no—
991C23×C3—82no—
992C23×C3—82no—
993C23×C3—82no—
994C23×C3C2×#4112yes—
995C23×C3C2×#4112yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—82no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3—82no—
1024C22×D3C2×#4112yes—
1025C3×D4—82no—
1026C3×D4—82no—
1027C3×D4—82no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—82no—
1061C2×C3×C4H(5,𝔽2)12yes—
1062#67—28no—
1063#67—44no—
1064#67—44no—
1065#67—44no—
1066#67—44no—
1067#67—44no—
1068#67—44no—
1069#67—82no—
1070#67—82no—
1071#67—82no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—28no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—82no—
1107C2×Dic3—82no—
1108C2×Dic3C2×#4112yes—
1109C2×Dic3C2×#4112yes—
1110C2×Dic3C2×#4112yes—
1111C2×Dic3H(5,𝔽2)12yes—
1112C2×Dic3H(5,𝔽2)12yes—
1113C2×Dic3H(5,𝔽2)12yes—
1114D12—82no—
1115D12—82no—
1116C4×D3—82no—
1117C4×D3—82no—
1118C4×D3—82no—
1119Dic6—44no—
1120C24—22no—
1121C24—22no—
1122C24—31no—
1123C24—31no—
1124C24—31no—
1125C24—41no—
1126C24—41no—
1127C24—41no—
1128C24—41no—
1129C24—41no—
1130C24—62no—
1131C24—62no—
1132C24—121no—
1133C24—121no—
1134C24—121no—
1135C24—121no—
1136C24—121no—
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C24C23×D311yescharacteristic
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—121no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—34no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—1216no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C22×C4—31no—
1191C22×C4—34no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C42—41no—
1324C42—62no—
1325C42—62no—
1326C42—62no—
1327C42—62no—
1328C42—62no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—121no—
1333C42—121no—
1334C42—121no—
1335C42—121no—
1336C42—121no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—88no—
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C22×#4111yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3C2×H(5,𝔽2)11yescharacteristic
1370C22×C3C2×H(5,𝔽2)11yescharacteristic
1371C22×C3C2×H(5,𝔽2)11yescharacteristic
1372C22×C3#58511yescharacteristic
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—88no—
1395C3×C4—22no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406Dic3—22no—
1407Dic3—22no—
1408Dic3—22no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3#55114yes—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—32no—
1446C23—44no—
1447C23—44no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—82no—
1469C23—82no—
1470C23—82no—
1471C23—82no—
1472C23—82no—
1473C23—124no—
1474C23—124no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23—242no—
1479C23—242no—
1480C23D3×#4112yes—
1481C23D3×#4112yes—
1482C23C24×D311yescharacteristic
1483Q8—124no—
1484D4—68no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—124no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—242no—
1495D4—242no—
1496D4—242no—
1497D4—242no—
1498D4—242no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—32no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—32no—
1536C2×C4—32no—
1537C2×C4—68no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—82no—
1572C2×C4—242no—
1573C2×C4—242no—
1574C2×C4—242no—
1575C2×C4—242no—
1576C2×C4—242no—
1577C2×C4#100412yes—
1578C2×C3—42no—
1579C2×C3—42no—
1580C2×C3—81no—
1581C2×C3—81no—
1582C2×C3C2×#55111yescharacteristic
1583C2×C3#350611yescharacteristic
1584C2×C3#350811yescharacteristic
1585C2×C3#351411yescharacteristic
1586C2×C3#351911yescharacteristic
1587C2×C3#353711yescharacteristic
1588C2×C3#354611yescharacteristic
1589D3—42no—
1590D3—81no—
1591D3—81no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—88no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—248no—
1643C22C2×#100411yescharacteristic
1644C22C2×D3×#4111yescharacteristic
1645C22C2×D3×#4111yescharacteristic
1646C22D3×H(5,𝔽2)11yescharacteristic
1647C22D3×H(5,𝔽2)11yescharacteristic
1648C22D3×H(5,𝔽2)11yescharacteristic
1649C22#596611yescharacteristic
1650C4—22no—
1651C4—34no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—62no—
1663C4—62no—
1664C4—62no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C3#4536711yescharacteristic, complemented, Sylow
1675C2—42no—
1676C2—42no—
1677C2—81no—
1678C2—81no—
1679C2—122no—
1680C2—241no—
1681C2—241no—
1682C2#8630111yescharacteristic
1683C2#8639111yescharacteristic
1684C2#8641711yescharacteristic
1685C2#8663311yescharacteristic
1686C2#8663811yescharacteristic
1687C2D3×#55111yescharacteristic
1688C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2697C2
prime radical#82588C2
hypercenter#2697D3
hypocenterC3#45367
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2697

Complements

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

NH ≅ G/Ntype
1. C3×#2697C2semidirect
2. #82852C2semidirect
3. #82849C2semidirect
4. #82589C2semidirect
6. #77713C2semidirect
7. #77607C2semidirect
8. #77495C2semidirect
9. #77493C2semidirect
10. #77437C2semidirect
11. #77316C2semidirect
12. #77314C2semidirect
13. #77282C2semidirect
14. #77143C2semidirect
15. #77059C2semidirect
16. #76936C2semidirect
17. #76906C2semidirect
18. #76455C2semidirect
19. #76352C2semidirect
20. #75526C2semidirect
21. #75511C2semidirect
22. #75476C2semidirect
23. #75474C2semidirect
24. #74901C2semidirect
25. #74841C2semidirect
26. #74679C2semidirect
27. #74665C2semidirect
28. #73850C2semidirect
29. #73839C2semidirect
30. #73834C2semidirect
31. #73819C2semidirect
34. C2×C3×#123C22semidirect
42. C2×#936C22semidirect
43. C2×C4×#67C22semidirect
44. C2×C4×#67C22semidirect
45. C2×#898C22semidirect
46. C2×#896C22semidirect
47. C2×#894C22semidirect
48. C2×#887C22semidirect
49. C2×#886C22semidirect
50. C2×#883C22semidirect
54. C2×#67⋊C4C22semidirect
56. C2×#879C22semidirect
57. C2×#878C22semidirect
60. C2×#875C22semidirect
61. C3×#397C22semidirect
62. C3×#397C22semidirect
64. C3×#396C22semidirect
66. C3×#394C22semidirect
67. C3×#390C22semidirect
69. C3×#388C22semidirect
71. C3×#386C22semidirect
78. #5222C22semidirect
80. #5220C22semidirect
81. #5220C22semidirect
82. #5213C22semidirect
83. #5210C22semidirect
84. #4994C22semidirect
85. #4994C22semidirect
86. #4992C22semidirect
87. #4991C22semidirect
88. #4991C22semidirect
89. #4990C22semidirect
90. #4990C22semidirect
91. #4988C22semidirect
92. #4982C22semidirect
93. #4981C22semidirect
94. #4979C22semidirect
95. #4976C22semidirect
96. #4975C22semidirect
97. Dic3×C4⋊C4C22semidirect
98. Dic3×C4⋊C4C22semidirect
99. Dic3×C4⋊C4C22semidirect
101. #4961C22semidirect
102. #4961C22semidirect
103. #4961C22semidirect
107. #4959C22semidirect
108. #4959C22semidirect
109. #4959C22semidirect
110. #4959C22semidirect
111. #4959C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
135. #4956C22semidirect
139. #4953C22semidirect
141. #4951C22semidirect
142. #4951C22semidirect
143. #4951C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
154. #4944C22semidirect
155. #4943C22semidirect
157. #4942C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. C4×(C2×D3)⋊C4C22semidirect
162. C4×Dic3⋊C4C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. #4676C22semidirect
165. #4675C22semidirect
166. #4674C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4670C22semidirect
170. #4669C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4668C22semidirect
174. #4667C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. #4658C22semidirect
180. #4651C22semidirect
181. #4651C22semidirect
182. #4650C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
193. #2697D3semidirect
414. C2×#123C2×D3semidirect
440. #397C2×D3semidirect
441. #397C2×D3semidirect
449. #396C2×D3semidirect
466. #394C2×D3semidirect
492. #390C2×D3semidirect
515. #388C2×D3semidirect
529. #386C2×D3semidirect
1674. C3#45367semidirect

Maximal subgroups

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

subgroupindex
C3×#26972
#828522
#828492
#825892
#825882
#777132
#776072
#774952
#774932
#774372
#773162
#773142
#772822
#771432
#770592
#769362
#769062
#764552
#763522
#755262
#755112
#754762
#754742
#749012
#748412
#746792
#746652
#738502
#738392
#738342
#738192
#453673