Finite Group Databasebeta

← #25962844

Subgroups — #25962844

Order 11008.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148026C211yesmaximal, characteristic
2#19143764C211yesmaximal, characteristic, complemented
3#19143764C211yesmaximal, characteristic, complemented
4#19143763C211yesmaximal, characteristic, complemented
5#19143762C211yesmaximal, characteristic, complemented
6#19143753C211yesmaximal, characteristic, complemented
7#19143747C211yesmaximal, characteristic, complemented
8#19143742C211yesmaximal, characteristic, complemented
9#19143742C211yesmaximal, characteristic, complemented
10#19143725C211yesmaximal, characteristic, complemented
11#19143711C211yesmaximal, characteristic, complemented
12#19143693C211yesmaximal, characteristic, complemented
13#19143690C211yesmaximal, characteristic, complemented
14#19143688C211yesmaximal, characteristic, complemented
15#19143688C211yesmaximal, characteristic, complemented
16#19143681C211yesmaximal, characteristic, complemented
17#19143606C211yesmaximal, characteristic, complemented
18#19143601C211yesmaximal, characteristic, complemented
19#19143595C211yesmaximal, characteristic, complemented
20#19143595C211yesmaximal, characteristic, complemented
21#19143589C211yesmaximal, characteristic, complemented
22#19143588C211yesmaximal, characteristic, complemented
23#19143579C211yesmaximal, characteristic, complemented
24#19143576C211yesmaximal, characteristic, complemented
25#19143566C211yesmaximal, characteristic, complemented
26#19143560C211yesmaximal, characteristic, complemented
27#19143547C211yesmaximal, characteristic, complemented
28#19143540C211yesmaximal, characteristic, complemented
29#19143531C211yesmaximal, characteristic, complemented
30#19143526C211yesmaximal, characteristic, complemented
31C43×#2961C211yesmaximal, characteristic, complemented
32#14583526C411yescharacteristic
33#14583523C411yescharacteristic
34#14583522C411yescharacteristic
35#14583519C411yescharacteristic
36#14583519C411yescharacteristic
37#14583510C411yescharacteristic
38#14583509C411yescharacteristic
39#14583508C411yescharacteristic
40#14583508C411yescharacteristic
41#14583497C411yescharacteristic
42#14583497C411yescharacteristic
43#14583495C411yescharacteristic
44#14583495C411yescharacteristic
45#14583479C411yescharacteristic
46#14583474C411yescharacteristic
47#14583472C411yescharacteristic
48#14583453C2211yescharacteristic
49#14583453C2211yescharacteristic
50#14583453C2211yescharacteristic
51#14583436C2211yescharacteristic
52#14583436C2211yescharacteristic
53#14583436C2211yescharacteristic
54#14583433C2211yescharacteristic
55#14583427C2211yescharacteristic
56#14583427C2211yescharacteristic
57#14583427C2211yescharacteristic
58#14583427C2211yescharacteristic
59C4×#10621902C2211yescharacteristic
60C4×#10621898C2211yescharacteristic
61C4×Q8×D43C2211yescharacteristic
62#14583030C2211yescharacteristic
63#14583030C2211yescharacteristic
64#14583030C2211yescharacteristic
65#14583030C2211yescharacteristic
66#14583030C2211yescharacteristic
67#14583030C2211yescharacteristic
68#14583029C2211yescharacteristic
69#14583028C2211yescharacteristic
70#14583028C2211yescharacteristic
71#14583028C2211yescharacteristic
72#14583028C2211yescharacteristic
73#14583028C2211yescharacteristic
74#14583028C2211yescharacteristic
75#14583027C2211yescharacteristic
76#14583027C2211yescharacteristic
77#14583027C2211yescharacteristic
78#14583027C2211yescharacteristic
79#14583027C2211yescharacteristic
80#14583027C2211yescharacteristic
81#14583027C2211yescharacteristic
82#14583027C2211yescharacteristic
83#14583026C2211yescharacteristic
84Q8×C43⋊C8C2211yescharacteristic
85Q8×C43⋊C8C2211yescharacteristic
86C8×Dic86C2211yescharacteristic
87C8×Dic86C2211yescharacteristic
88C8×Dic86C2211yescharacteristic
89#14583023C2211yescharacteristic
90#14583023C2211yescharacteristic
91#14583023C2211yescharacteristic
92#14583023C2211yescharacteristic
93#14583023C2211yescharacteristic
94#14582978C2211yescharacteristic
95#14582978C2211yescharacteristic
96#14582978C2211yescharacteristic
97#14582976C2211yescharacteristic
98#14582976C2211yescharacteristic
99#14582976C2211yescharacteristic
100#14582976C2211yescharacteristic
101#14582976C2211yescharacteristic
102#14582975C2211yescharacteristic
103#14582975C2211yescharacteristic
104#14582975C2211yescharacteristic
105#14582975C2211yescharacteristic
106#14582975C2211yescharacteristic
107#14582975C2211yescharacteristic
108#14582972C2211yescharacteristic
109#14582972C2211yescharacteristic
110#14582972C2211yescharacteristic
111#14582972C2211yescharacteristic
112#14582972C2211yescharacteristic
113#14582972C2211yescharacteristic
114#14582972C2211yescharacteristic
115#14582972C2211yescharacteristic
116#14582970C2211yescharacteristic
117#14582970C2211yescharacteristic
118#14582970C2211yescharacteristic
119#14582970C2211yescharacteristic
120#14582969C2211yescharacteristic
121#14582969C2211yescharacteristic
122#14582969C2211yescharacteristic
123#14582969C2211yescharacteristic
124#14582969C2211yescharacteristic
125#14582969C2211yescharacteristic
126#14582968C2211yescharacteristic
127#14582968C2211yescharacteristic
128C8×D172C2211yescharacteristic
129#14582964C2211yescharacteristic
130C8×C22⋊D43C2211yescharacteristic
131C8×C22⋊D43C2211yescharacteristic
132C8×C22⋊D43C2211yescharacteristic
133C8×C22⋊D43C2211yescharacteristic
134#14582961C2211yescharacteristic
135#14582961C2211yescharacteristic
136#14582961C2211yescharacteristic
137#14582961C2211yescharacteristic
138#14582960C2211yescharacteristic
139#14582960C2211yescharacteristic
140#14582960C2211yescharacteristic
141#14582960C2211yescharacteristic
142#14582959C2211yescharacteristic
143#14582959C2211yescharacteristic
144#14582959C2211yescharacteristic
145#14582959C2211yescharacteristic
146#14582959C2211yescharacteristic
147#14582959C2211yescharacteristic
148#14582958C2211yescharacteristic
149#14582958C2211yescharacteristic
150#14582956C2211yescharacteristic
151#14582955C2211yescharacteristic
152#14582954C2211yescharacteristic
153#14582954C2211yescharacteristic
154#14582954C2211yescharacteristic
155#14582954C2211yescharacteristic
156#14582952C2211yescharacteristic
157#14582951C2211yescharacteristic
158#14582951C2211yescharacteristic
159#14582951C2211yescharacteristic
160#14582951C2211yescharacteristic
161#14582951C2211yescharacteristic
162#14582950C2211yescharacteristic
163#14582950C2211yescharacteristic
164#14582924C2211yescharacteristic
165#14582924C2211yescharacteristic
166#14582924C2211yescharacteristic
167#14582924C2211yescharacteristic
168#14582924C2211yescharacteristic
169#14582924C2211yescharacteristic
170#14582921C2211yescharacteristic
171#14582921C2211yescharacteristic
172#14582921C2211yescharacteristic
173#14582921C2211yescharacteristic
174#14582921C2211yescharacteristic
175C4⋊C8×D43C2211yescharacteristic
176#14582856C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582853C2211yescharacteristic
181#14582853C2211yescharacteristic
182#14582851C2211yescharacteristic
183#14582851C2211yescharacteristic
184#14582851C2211yescharacteristic
185C4×#10621872C2211yescharacteristic
186#97×D43C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C43×#446C2211yescharacteristic
190C43×#446C2211yescharacteristic
191C43×#446C2211yescharacteristic
192C43×#446C2211yescharacteristic
193C43×#446C2211yescharacteristic
194C43×#446C2211yescharacteristic
195C43×#446C2211yescharacteristic
196C43×#446C2211yescharacteristic
197C43×#424C2211yescharacteristic
198C43×#424C2211yescharacteristic
199C43×#423C2211yescharacteristic
200C43×#405C2211yescharacteristic
201C43×#405C2211yescharacteristic
202C2×#97×C43C2211yescharacteristic
203C2×#10621902C2×C411yescharacteristic
204C2×#10621898C2×C411yescharacteristic
205C2×Q8×D43C2×C411yescharacteristic
206C2×#10621872C2311yescharacteristic
207C2×#10621872C2311yescharacteristic
208C2×#10621872C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×#10621872C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217C2×C8×D43C2311yescharacteristic
218C2×C8×D43C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222#13063324C2×C411yescharacteristic
223#13063324C2×C411yescharacteristic
224#13063324C2×C411yescharacteristic
225#13063323C2×C411yescharacteristic
226#13063323C2×C411yescharacteristic
227#13063323C2×C411yescharacteristic
228#13063320C2×C411yescharacteristic
229#13063320C2×C411yescharacteristic
230#13063320C2×C411yescharacteristic
231#13063320C2×C411yescharacteristic
232#13063320C2×C411yescharacteristic
233#13063320C2×C411yescharacteristic
234#13063320C2×C411yescharacteristic
235#13063320C2×C411yescharacteristic
236#13063320C2×C411yescharacteristic
237#13063320C2×C411yescharacteristic
238#13063319C2×C411yescharacteristic
239#13063319C2×C411yescharacteristic
240#13063318C2×C411yescharacteristic
241#13063318C2×C411yescharacteristic
242#13063318C2×C411yescharacteristic
243#13063318C2×C411yescharacteristic
244#13063317C2×C411yescharacteristic
245#13063316C2×C411yescharacteristic
246#13063316C2×C411yescharacteristic
247#13063316C2×C411yescharacteristic
248#13063315C2×C411yescharacteristic
249#13063315C2×C411yescharacteristic
250#13063315C2×C411yescharacteristic
251#13063315C2×C411yescharacteristic
252#13063315C2×C411yescharacteristic
253#13063315C2×C411yescharacteristic
254#13063315C2×C411yescharacteristic
255#13063315C2×C411yescharacteristic
256#13063315C2×C411yescharacteristic
257#13063315C2×C411yescharacteristic
258#13063314C2×C411yescharacteristic
259#13063314C2×C411yescharacteristic
260#13063314C2×C411yescharacteristic
261#13063313C2×C411yescharacteristic
262#13063311C2×C411yescharacteristic
263#13063311C2×C411yescharacteristic
264#13063311C2×C411yescharacteristic
265#13063311C2×C411yescharacteristic
266#13063310C2×C411yescharacteristic
267#13063310C2×C411yescharacteristic
268#13063310C2×C411yescharacteristic
269#13063310C2×C411yescharacteristic
270#13063310C2×C411yescharacteristic
271#13063310C2×C411yescharacteristic
272#13063310C2×C411yescharacteristic
273#13063310C2×C411yescharacteristic
274#13063310C2×C411yescharacteristic
275#13063310C2×C411yescharacteristic
276#13063308C2×C411yescharacteristic
277#13063308C2×C411yescharacteristic
278#13063307C2×C411yescharacteristic
279#13063307C2×C411yescharacteristic
280#13063307C2×C411yescharacteristic
281#13063307C2×C411yescharacteristic
282#13063305C2×C411yescharacteristic
283#13063305C2×C411yescharacteristic
284#13063305C2×C411yescharacteristic
285#13063304C2×C411yescharacteristic
286#13063303C2×C411yescharacteristic
287#13063303C2×C411yescharacteristic
288#13063303C2×C411yescharacteristic
289#13063303C2×C411yescharacteristic
290#13063303C2×C411yescharacteristic
291#13063303C2×C411yescharacteristic
292#13063303C2×C411yescharacteristic
293#13063303C2×C411yescharacteristic
294#13063303C2×C411yescharacteristic
295#13063303C2×C411yescharacteristic
296#13063301C2×C411yescharacteristic
297#13063301C2×C411yescharacteristic
298#13063301C2×C411yescharacteristic
299#13063301C2×C411yescharacteristic
300#13063301C2×C411yescharacteristic
301#13063301C2×C411yescharacteristic
302#13063300C2×C411yescharacteristic
303#13063300C2×C411yescharacteristic
304#13063300C2×C411yescharacteristic
305#13063299C2×C411yescharacteristic
306#13063298C2×C411yescharacteristic
307#13063298C2×C411yescharacteristic
308#13063298C2×C411yescharacteristic
309#13063298C2×C411yescharacteristic
310Q8×Dic43C2×C411yescharacteristic
311Q8×Dic43C2×C411yescharacteristic
312C4×Dic86C2×C411yescharacteristic
313C4×Dic86C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319#13063290C2×C411yescharacteristic
320#13063290C2×C411yescharacteristic
321#13063290C2×C411yescharacteristic
322C4×D172C2×C411yescharacteristic
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329#13063287C2×C411yescharacteristic
330#13063287C2×C411yescharacteristic
331#13063287C2×C411yescharacteristic
332C4×C22⋊D43C2×C411yescharacteristic
333C4×C22⋊D43C2×C411yescharacteristic
334C4×C22⋊D43C2311yescharacteristic
335C4×C22⋊D43C2311yescharacteristic
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
338#13063284C2×C411yescharacteristic
339#13063283C2×C411yescharacteristic
340#13063283C2×C411yescharacteristic
341#13063283C2×C411yescharacteristic
342#13063282C2×C411yescharacteristic
343#13063282C2×C411yescharacteristic
344#13063282C2311yescharacteristic
345#13063282C2311yescharacteristic
346#13063282C2311yescharacteristic
347#13063282C2311yescharacteristic
348#13063282C2311yescharacteristic
349#13063282C2311yescharacteristic
350C4⋊C4×D43C2×C411yescharacteristic
351C4⋊C4×D43C2×C411yescharacteristic
352C4⋊C4×D43C2×C411yescharacteristic
353C42×D43C2311yescharacteristic
354C42×D43C2311yescharacteristic
355C42×D43C2311yescharacteristic
356C42×D43C2311yescharacteristic
357C42×D43C2311yescharacteristic
358C42×D43C2311yescharacteristic
359C4⋊(C43⋊C8)C2311yescharacteristic
360C4⋊(C43⋊C8)C2311yescharacteristic
361C4⋊(C43⋊C8)C2311yescharacteristic
362C4⋊(C43⋊C8)C2311yescharacteristic
363C4⋊(C43⋊C8)C2311yescharacteristic
364C4⋊(C43⋊C8)C2311yescharacteristic
365C4⋊(C43⋊C8)C2311yescharacteristic
366C4⋊(C43⋊C8)C2311yescharacteristic
367C4⋊(C43⋊C8)C2311yescharacteristic
368C4⋊(C43⋊C8)C2311yescharacteristic
369C4⋊(C43⋊C8)C2311yescharacteristic
370C4⋊(C43⋊C8)C2311yescharacteristic
371Dic43⋊C8C2311yescharacteristic
372Dic43⋊C8C2311yescharacteristic
373Dic43⋊C8C2311yescharacteristic
374Dic43⋊C8C2311yescharacteristic
375Dic43⋊C8C2311yescharacteristic
376Dic43⋊C8C2311yescharacteristic
377Dic43⋊C8C2311yescharacteristic
378Dic43⋊C8C2311yescharacteristic
379Dic43⋊C8C2311yescharacteristic
380Dic43⋊C8C2311yescharacteristic
381Dic43⋊C8C2311yescharacteristic
382Dic43⋊C8C2311yescharacteristic
383Dic43⋊C8C2311yescharacteristic
384Dic43⋊C8C2311yescharacteristic
385Dic43⋊C8C2311yescharacteristic
386Dic43⋊C8C2311yescharacteristic
387C22⋊(C43⋊C8)C2311yescharacteristic
388C22⋊(C43⋊C8)C2311yescharacteristic
389C22⋊(C43⋊C8)C2311yescharacteristic
390C22⋊(C43⋊C8)C2311yescharacteristic
391(C2×D43)⋊C8C2311yescharacteristic
392(C2×D43)⋊C8C2311yescharacteristic
393(C2×D43)⋊C8C2311yescharacteristic
394(C2×D43)⋊C8C2311yescharacteristic
395(C2×D43)⋊C8C2311yescharacteristic
396(C2×D43)⋊C8C2311yescharacteristic
397(C2×D43)⋊C8C2311yescharacteristic
398(C2×D43)⋊C8C2311yescharacteristic
399(C2×D43)⋊C8C2311yescharacteristic
400(C2×D43)⋊C8C2311yescharacteristic
401(C2×D43)⋊C8C2311yescharacteristic
402(C2×D43)⋊C8C2311yescharacteristic
403(C2×D43)⋊C8C2311yescharacteristic
404(C2×D43)⋊C8C2311yescharacteristic
405(C2×D43)⋊C8C2311yescharacteristic
406(C2×D43)⋊C8C2311yescharacteristic
407#13063236C2311yescharacteristic
408#13063236C2311yescharacteristic
409#13063236C2311yescharacteristic
410#13063236C2311yescharacteristic
411#13063236C2311yescharacteristic
412#13063236C2311yescharacteristic
413#13063235C2311yescharacteristic
414#13063235C2311yescharacteristic
415#13063235C2311yescharacteristic
416#13063235C2311yescharacteristic
417#13063235C2311yescharacteristic
418#13063235C2311yescharacteristic
419C4×C43⋊C8C2311yescharacteristic
420C4×C43⋊C8C2311yescharacteristic
421C4×C43⋊C8C2311yescharacteristic
422C4×C43⋊C8C2311yescharacteristic
423C4×C43⋊C8C2311yescharacteristic
424C4×C43⋊C8C2311yescharacteristic
425C8×Dic43C2311yescharacteristic
426C8×Dic43C2311yescharacteristic
427C8×Dic43C2311yescharacteristic
428C8×Dic43C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×M16×C43C2311yescharacteristic
436C2×M16×C43C2311yescharacteristic
437C22×C8×C43C2311yescharacteristic
438C22×C8×C43C2311yescharacteristic
439C4⋊Q8×C43C2×C411yescharacteristic
440C4⋊Q8×C43C2×C411yescharacteristic
441#125×C43C2×C411yescharacteristic
442#125×C43C2×C411yescharacteristic
443C22⋊Q8×C43C2×C411yescharacteristic
444C22⋊Q8×C43C2×C411yescharacteristic
445C22⋊Q8×C43C2×C411yescharacteristic
446C22⋊Q8×C43C2×C411yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451#117×C43C2311yescharacteristic
452#117×C43C2311yescharacteristic
453C2×C42×C43C2311yescharacteristic
454C4⋊C8×C43C2311yescharacteristic
455C4⋊C8×C43C2311yescharacteristic
456C4⋊C8×C43C2311yescharacteristic
457C4⋊C8×C43C2311yescharacteristic
458C4⋊C8×C43C2311yescharacteristic
459C4⋊C8×C43C2311yescharacteristic
460C4⋊C8×C43C2311yescharacteristic
461C4⋊C8×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#97×C43C2311yescharacteristic
467#97×C43C2311yescharacteristic
468#97×C43C2311yescharacteristic
469#97×C43C2311yescharacteristic
470#97×C43C2311yescharacteristic
471#97×C43C2311yescharacteristic
472#97×C43C2311yescharacteristic
473#97×C43C2311yescharacteristic
474C4×C8×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43C22×C411yescharacteristic
479C2×Q8×C43C22×C411yescharacteristic
480C2×Q8×C43C22×C411yescharacteristic
481C2×Q8×C43C22×C411yescharacteristic
482C22×C4×C43C22×C411yescharacteristic
483C22×C4×C43C22×C411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C2×C22⋊D43C22×C411yescharacteristic
486C2×C22⋊D43C22×C411yescharacteristic
487C2×C22⋊D43C22×C411yescharacteristic
488C2×C22⋊D43C22×C411yescharacteristic
489#10621902—42no—
490Q8×D43—42no—
491#10621898—42no—
492C2×D172C22×C411yescharacteristic
493C2×D172C22×C411yescharacteristic
494C2×D172C22×C411yescharacteristic
495C2×D172C22×C411yescharacteristic
496C2×D172C22×C411yescharacteristic
497C2×D172C22×C411yescharacteristic
498C2×C4×D43C22×C411yescharacteristic
499C2×C4×D43C22×C411yescharacteristic
500C2×C4×D43C22×C411yescharacteristic
501C2×C4×D43C22×C411yescharacteristic
502C2×C4×D43C22×C411yescharacteristic
503C2×C4×D43C22×C411yescharacteristic
504C2×C4×D43C22×C411yescharacteristic
505C2×C4×D43C22×C411yescharacteristic
506C2×C4×D43C22×C411yescharacteristic
507C2×C4×D43C22×C411yescharacteristic
508C2×C4×D43C22×C411yescharacteristic
509C2×C4×D43C22×C411yescharacteristic
510C2×C4×D43C2411yescharacteristic
511C2×C4×D43C2411yescharacteristic
512C2×C4×D43C2411yescharacteristic
513C2×C4×D43C2411yescharacteristic
514C2×Dic86C22×C411yescharacteristic
515C2×Dic86C22×C411yescharacteristic
516C2×Dic86C22×C411yescharacteristic
517C2×Dic86C22×C411yescharacteristic
518C2×Dic86C22×C411yescharacteristic
519C2×Dic86C22×C411yescharacteristic
520M16×C43—41no—
521M16×C43—41no—
522C2×C8×C43—22no—
523C2×C8×C43—41no—
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C4⋊C4×C43C22×C411yescharacteristic
533C4⋊C4×C43C22×C411yescharacteristic
534C4⋊C4×C43C22×C411yescharacteristic
535C4⋊C4×C43C22×C411yescharacteristic
536C4⋊C4×C43C22×C411yescharacteristic
537C4⋊C4×C43C22×C411yescharacteristic
538C4⋊C4×C43C22×C411yescharacteristic
539C4⋊C4×C43C22×C411yescharacteristic
540C4⋊C4×C43C22×C411yescharacteristic
541C4⋊C4×C43C22×C411yescharacteristic
542C4⋊C4×C43C22×C411yescharacteristic
543C4⋊C4×C43C22×C411yescharacteristic
544C4⋊C4×C43C22×C411yescharacteristic
545C4⋊C4×C43C22×C411yescharacteristic
546C4⋊C4×C43C22×C411yescharacteristic
547C4⋊C4×C43C22×C411yescharacteristic
548C22⋊C4×C43C22×C411yescharacteristic
549C22⋊C4×C43C22×C411yescharacteristic
550C22⋊C4×C43C22×C411yescharacteristic
551C22⋊C4×C43C22×C411yescharacteristic
552C42×C43C22×C411yescharacteristic
553C42×C43C22×C411yescharacteristic
554C42×C43C2411yescharacteristic
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C42×C43C2411yescharacteristic
559C42×C43C2411yescharacteristic
560C22⋊Dic43C22×C411yescharacteristic
561C22⋊Dic43C22×C411yescharacteristic
562C22⋊Dic43C22×C411yescharacteristic
563C22⋊Dic43C22×C411yescharacteristic
564(C2×D43)⋊C4C22×C411yescharacteristic
565(C2×D43)⋊C4C22×C411yescharacteristic
566(C2×D43)⋊C4C22×C411yescharacteristic
567(C2×D43)⋊C4C22×C411yescharacteristic
568(C2×D43)⋊C4C22×C411yescharacteristic
569(C2×D43)⋊C4C22×C411yescharacteristic
570(C2×D43)⋊C4C22×C411yescharacteristic
571(C2×D43)⋊C4C22×C411yescharacteristic
572(C2×D43)⋊C4C22×C411yescharacteristic
573(C2×D43)⋊C4C22×C411yescharacteristic
574(C2×D43)⋊C4C22×C411yescharacteristic
575(C2×D43)⋊C4C22×C411yescharacteristic
576(C2×D43)⋊C4C22×C411yescharacteristic
577(C2×D43)⋊C4C22×C411yescharacteristic
578(C2×D43)⋊C4C22×C411yescharacteristic
579(C2×D43)⋊C4C22×C411yescharacteristic
580(C2×D43)⋊C4C22×C411yescharacteristic
581(C2×D43)⋊C4C22×C411yescharacteristic
582(C2×D43)⋊C4C22×C411yescharacteristic
583(C2×D43)⋊C4C22×C411yescharacteristic
584(C2×D43)⋊C4C22×C411yescharacteristic
585(C2×D43)⋊C4C22×C411yescharacteristic
586(C2×D43)⋊C4C22×C411yescharacteristic
587(C2×D43)⋊C4C22×C411yescharacteristic
588(C2×D43)⋊C4C22×C411yescharacteristic
589(C2×D43)⋊C4C22×C411yescharacteristic
590(C2×D43)⋊C4C22×C411yescharacteristic
591(C2×D43)⋊C4C22×C411yescharacteristic
592C4⋊Dic43C22×C411yescharacteristic
593C4⋊Dic43C22×C411yescharacteristic
594C4⋊Dic43C22×C411yescharacteristic
595C4⋊Dic43C22×C411yescharacteristic
596C4⋊Dic43C22×C411yescharacteristic
597C4⋊Dic43C22×C411yescharacteristic
598C4⋊Dic43C22×C411yescharacteristic
599C4⋊Dic43C22×C411yescharacteristic
600C4⋊Dic43C22×C411yescharacteristic
601C4⋊Dic43C22×C411yescharacteristic
602C4⋊Dic43C22×C411yescharacteristic
603C4⋊Dic43C22×C411yescharacteristic
604Dic43⋊C4C22×C411yescharacteristic
605Dic43⋊C4C22×C411yescharacteristic
606Dic43⋊C4C22×C411yescharacteristic
607Dic43⋊C4C22×C411yescharacteristic
608Dic43⋊C4C22×C411yescharacteristic
609Dic43⋊C4C22×C411yescharacteristic
610Dic43⋊C4C22×C411yescharacteristic
611Dic43⋊C4C22×C411yescharacteristic
612Dic43⋊C4C22×C411yescharacteristic
613Dic43⋊C4C22×C411yescharacteristic
614Dic43⋊C4C22×C411yescharacteristic
615Dic43⋊C4C22×C411yescharacteristic
616Dic43⋊C4C22×C411yescharacteristic
617Dic43⋊C4C22×C411yescharacteristic
618Dic43⋊C4C22×C411yescharacteristic
619Dic43⋊C4C22×C411yescharacteristic
620Dic43⋊C4C22×C411yescharacteristic
621Dic43⋊C4C22×C411yescharacteristic
622Dic43⋊C4C22×C411yescharacteristic
623Dic43⋊C4C22×C411yescharacteristic
624Dic43⋊C4C22×C411yescharacteristic
625Dic43⋊C4C22×C411yescharacteristic
626Dic43⋊C4C22×C411yescharacteristic
627Dic43⋊C4C22×C411yescharacteristic
628Dic43⋊C4C22×C411yescharacteristic
629Dic43⋊C4C22×C411yescharacteristic
630Dic43⋊C4C22×C411yescharacteristic
631Dic43⋊C4C22×C411yescharacteristic
632C4×Dic43C22×C411yescharacteristic
633C4×Dic43C22×C411yescharacteristic
634C4×Dic43C22×C411yescharacteristic
635C4×Dic43C22×C411yescharacteristic
636C4×Dic43C22×C411yescharacteristic
637C4×Dic43C22×C411yescharacteristic
638C4×Dic43C22×C411yescharacteristic
639C4×Dic43C22×C411yescharacteristic
640C4×Dic43C22×C411yescharacteristic
641C4×Dic43C22×C411yescharacteristic
642C4×Dic43C22×C411yescharacteristic
643C4×Dic43C22×C411yescharacteristic
644C4×Dic43C2411yescharacteristic
645C4×Dic43C2411yescharacteristic
646C4×Dic43C2411yescharacteristic
647C4×Dic43C2411yescharacteristic
648C2×C43⋊C8C2411yescharacteristic
649C2×C43⋊C8C2411yescharacteristic
650C2×C43⋊C8C2411yescharacteristic
651C2×C43⋊C8C2411yescharacteristic
652C2×C43⋊C8C2411yescharacteristic
653C2×C43⋊C8C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656#10621872—22no—
657#10621872—22no—
658#10621872—41no—
659#10621872—41no—
660#10621872—41no—
661#10621872—41no—
662#10621872—41no—
663#10621872—41no—
664#10621872—41no—
665#10621872—41no—
666C8×D43—22no—
667C8×D43—22no—
668C8×D43—41no—
669C8×D43—41no—
670C8×D43—41no—
671C8×D43—41no—
672C23×C43C23×C411yescharacteristic
673C22×D43C23×C411yescharacteristic
674C22×D43C23×C411yescharacteristic
675C22×D43C23×C411yescharacteristic
676C22×D43C23×C411yescharacteristic
677Q8×C43—41no—
678Q8×C43—41no—
679Q8×C43—41no—
680Q8×C43—41no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—41no—
684C2×C4×C43—41no—
685C2×C4×C43C23×C411yescharacteristic
686C2×C4×C43C23×C411yescharacteristic
687C2×C4×C43C23×C411yescharacteristic
688C2×C4×C43C23×C411yescharacteristic
689C2×C4×C43C23×C411yescharacteristic
690C2×C4×C43C23×C411yescharacteristic
691C2×C4×C43C23×C411yescharacteristic
692C2×C4×C43C23×C411yescharacteristic
693C2×C4×C43C23×C411yescharacteristic
694C2×C4×C43C23×C411yescharacteristic
695C2×C4×C43C23×C411yescharacteristic
696C2×C4×C43C23×C411yescharacteristic
697C2×C4×C43C23×C411yescharacteristic
698C2×C4×C43C2511yescharacteristic
699C22⋊D43—22no—
700C22⋊D43—41no—
701C22⋊D43—41no—
702C22⋊D43—41no—
703C2×Dic43C23×C411yescharacteristic
704C2×Dic43C23×C411yescharacteristic
705C2×Dic43C23×C411yescharacteristic
706C2×Dic43C23×C411yescharacteristic
707C2×Dic43C23×C411yescharacteristic
708C2×Dic43C23×C411yescharacteristic
709C2×Dic43C23×C411yescharacteristic
710C2×Dic43C23×C411yescharacteristic
711C2×Dic43C23×C411yescharacteristic
712C2×Dic43C23×C411yescharacteristic
713C2×Dic43C23×C411yescharacteristic
714C2×Dic43C23×C411yescharacteristic
715D172—41no—
716D172—41no—
717D172—41no—
718D172—41no—
719D172—41no—
720D172—41no—
721C4×D43—21no—
722C4×D43—21no—
723C4×D43—21no—
724C4×D43—21no—
725C4×D43—21no—
726C4×D43—21no—
727C4×D43—21no—
728C4×D43—21no—
729C4×D43—22no—
730C4×D43—22no—
731C4×D43—22no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—41no—
738C4×D43—41no—
739C4×D43—41no—
740C4×D43—41no—
741Dic86—22no—
742Dic86—22no—
743Dic86—22no—
744Dic86—41no—
745Dic86—41no—
746Dic86—41no—
747C8×C43—21no—
748C8×C43—21no—
749C8×C43—21no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C8×C43—21no—
754C8×C432−1+412yes—
755C43⋊C8—21no—
756C43⋊C8—21no—
757C43⋊C8—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762C43⋊C8—21no—
763#60344—431nomaximal, Sylow
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—21no—
767C22×C43C24×C411yescharacteristic
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—21no—
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—21no—
780C4×C43—21no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—21no—
789C4×C43—21no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43C2×2−1+411yescharacteristic
794C4×C43#58511yescharacteristic
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—21no—
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43#56812yes—
807#3461—431no—
808#2995—431no—
809#2995—431no—
810#2995—431no—
811#2995—431no—
812#2994—431no—
813#2993—431no—
814#2993—431no—
815#2993—431no—
816#2991—431no—
817#2989—431no—
818#2986—431no—
819#2985—431no—
820#2985—431no—
821#2985—431no—
822#2984—431no—
823#2970—431no—
824#2969—431no—
825#2969—431no—
826#2969—431no—
827#2968—431no—
828#2968—431no—
829#2967—431no—
830#2967—431no—
831#2966—431no—
832#2965—431no—
833Q8×M16—431no—
834#2962—431no—
835#2961—431no—
836#2961D4311yescharacteristic, complemented
837#2960—431no—
838C2×C43—41no—
839C2×C43C4×2−1+411yescharacteristic
840C2×C43C2×#56811yescharacteristic
841C2×C43#357311yescharacteristic
842D43—41no—
843D43—41no—
844D43—41no—
845D43—41no—
846#544—431no—
847#542—431no—
848#542—431no—
849#542—431no—
850#542—431no—
851#541—431no—
852#541—431no—
853#541—431no—
854#541—431no—
855#539—431no—
856#539—431no—
857#539—431no—
858#539—431no—
859#537—431no—
860#536—431no—
861#536—431no—
862#533—431no—
863#533—431no—
864#533—431no—
865#533C2×D4311yescharacteristic
866#529—431no—
867#529—431no—
868#529—431no—
869#529—431no—
870#529—431no—
871#529—431no—
872#529—431no—
873#529—431no—
874C4×#41—431no—
875C4×#41—431no—
876C2×C4×Q8—431no—
877#446—431no—
878#446—431no—
879#446—431no—
880#446—431no—
881#446—431no—
882#446—431no—
883#446—431no—
884#446—431no—
885#446—431no—
886#446—431no—
887#446—431no—
888#446—431no—
889#446—431no—
890#446—431no—
891#446—431no—
892#446—431no—
893#446—431no—
894#446—431no—
895#446—431no—
896#446—431no—
897#446—431no—
898#446—431no—
899#446C2×D4311yescharacteristic
900#446C2×D4311yescharacteristic
901#446C2×D4311yescharacteristic
902#446C2×D4311yescharacteristic
903#446C2×D4311yescharacteristic
904#446C2×D4311yescharacteristic
905#446C2×D4311yescharacteristic
906#446C2×D4311yescharacteristic
907C8×Q8—431no—
908C8×Q8—431no—
909C8×Q8—431no—
910C8×Q8—431no—
911C8×Q8—431no—
912C8×Q8—431no—
913C8×Q8—431no—
914C8×Q8—431no—
915C8×Q8—431no—
916C8×Q8—431no—
917#436—431no—
918#436—431no—
919#436—431no—
920#436—431no—
921#436—431no—
922#436—431no—
923#436—431no—
924#436—431no—
925#436—431no—
926#436—431no—
927#436—431no—
928#436—431no—
929#436—431no—
930#436—431no—
931#435—431no—
932#435—431no—
933#435—431no—
934#435—431no—
935#435—431no—
936#435—431no—
937#435—431no—
938#435—431no—
939#435—431no—
940#435—431no—
941#435—431no—
942#435—431no—
943#435—431no—
944#435—431no—
945#435—431no—
946#435—431no—
947#435—431no—
948#435—431no—
949#435—431no—
950#435—431no—
951C8×D4—431no—
952C8×D4—431no—
953C8×D4—431no—
954C8×D4—431no—
955C8×D4—431no—
956C8×D4—431no—
957#433—431no—
958#433—431no—
959#433—431no—
960#433—431no—
961#433—431no—
962#433—431no—
963#433—431no—
964#433—431no—
965#433—431no—
966#433—431no—
967#433—431no—
968#433—431no—
969#433—431no—
970#433—431no—
971#433—431no—
972#433—431no—
973#432—431no—
974#432—431no—
975#432—431no—
976#432—431no—
977#432—431no—
978#432—431no—
979#431—431no—
980#431—431no—
981#431—431no—
982#431—431no—
983#431—431no—
984#431—431no—
985#431—431no—
986#431—431no—
987#424—431no—
988#424—431no—
989#424—431no—
990#424—431no—
991#424—431no—
992#424—431no—
993#424C2×D4311yescharacteristic
994#424C2×D4311yescharacteristic
995#423—431no—
996#423—431no—
997#423—431no—
998#423—431no—
999#423—431no—
1000#423C2×D4311yescharacteristic
1001C2×C4⋊C8—431no—
1002#405—431no—
1003#405—431no—
1004#405—431no—
1005#405—431no—
1006#405—431no—
1007#405—431no—
1008#405C2×D4311yescharacteristic
1009#405C2×D4311yescharacteristic
1010C4×M16—431no—
1011C4×M16—431no—
1012C4×M16—431no—
1013C4×M16—431no—
1014C2×#97—431no—
1015C2×#97C2×D4311yescharacteristic
1016C2×C4×C8—431no—
1017C43#6034411yescharacteristic, complemented, Sylow
1018C2×#41—431no—
1019C2×#41—431no—
1020C22×Q8—431no—
1021C2×M16—431no—
1022C2×M16—431no—
1023C2×M16—431no—
1024C2×M16—431no—
1025C2×M16—431no—
1026C2×M16—431no—
1027C2×M16—431no—
1028C2×M16—431no—
1029C2×M16—431no—
1030C2×M16—431no—
1031C2×M16C22×D4311yescharacteristic
1032C2×M16C22×D4311yescharacteristic
1033C22×C8—431no—
1034C22×C8—431no—
1035C22×C8—431no—
1036C22×C8—431no—
1037C22×C8—431no—
1038C22×C8—431no—
1039C22×C8C22×D4311yescharacteristic
1040C22×C8C22×D4311yescharacteristic
1041C4⋊Q8—431no—
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8C4×D4311yescharacteristic
1048C4⋊Q8C4×D4311yescharacteristic
1049#126—431no—
1050#126—431no—
1051#126—431no—
1052#126—431no—
1053#126—431no—
1054#126—431no—
1055#126—431no—
1056#126—431no—
1057#126—431no—
1058#126—431no—
1059#126—431no—
1060#126—431no—
1061#126—431no—
1062#126—431no—
1063#126—431no—
1064#126—431no—
1065#125—431no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—431no—
1074#125—431no—
1075#125—431no—
1076#125—431no—
1077#125—431no—
1078#125—431no—
1079#125C4×D4311yescharacteristic
1080#125C4×D4311yescharacteristic
1081#124—431no—
1082#124—431no—
1083#124—431no—
1084#124—431no—
1085#124—431no—
1086#124—431no—
1087#124—431no—
1088#124—431no—
1089#123—431no—
1090#123—431no—
1091#123—431no—
1092#123—431no—
1093#123—431no—
1094#123—431no—
1095#123—431no—
1096#123—431no—
1097#123—431no—
1098#123—431no—
1099#123—431no—
1100#123—431no—
1101#123—431no—
1102#123—431no—
1103#123—431no—
1104#123—431no—
1105C22⋊Q8—431no—
1106C22⋊Q8—431no—
1107C22⋊Q8—431no—
1108C22⋊Q8—431no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8C4×D4311yescharacteristic
1126C22⋊Q8C4×D4311yescharacteristic
1127C22⋊Q8C4×D4311yescharacteristic
1128C22⋊Q8C4×D4311yescharacteristic
1129#121—431no—
1130#121—431no—
1131#121—431no—
1132#121—431no—
1133#121—431no—
1134#121—431no—
1135#121—431no—
1136#121—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8C22×D4311yescharacteristic
1150C4×Q8C22×D4311yescharacteristic
1151C4×Q8C22×D4311yescharacteristic
1152C4×Q8C22×D4311yescharacteristic
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—431no—
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—431no—
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117C22×D4311yescharacteristic
1182#117C22×D4311yescharacteristic
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C42—431no—
1187C2×C42—431no—
1188C2×C42—431no—
1189C2×C42—431no—
1190C2×C42—431no—
1191C2×C42—431no—
1192C2×C42C22×D4311yescharacteristic
1193C4⋊C8—431no—
1194C4⋊C8—431no—
1195C4⋊C8—431no—
1196C4⋊C8—431no—
1197C4⋊C8—431no—
1198C4⋊C8—431no—
1199C4⋊C8—431no—
1200C4⋊C8—431no—
1201C4⋊C8—431no—
1202C4⋊C8—431no—
1203C4⋊C8—431no—
1204C4⋊C8—431no—
1205C4⋊C8—431no—
1206C4⋊C8—431no—
1207C4⋊C8—431no—
1208C4⋊C8—431no—
1209C4⋊C8—431no—
1210C4⋊C8—431no—
1211C4⋊C8—431no—
1212C4⋊C8—431no—
1213C4⋊C8—431no—
1214C4⋊C8—431no—
1215C4⋊C8—431no—
1216C4⋊C8—431no—
1217C4⋊C8—431no—
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8C22×D4311yescharacteristic
1222C4⋊C8C22×D4311yescharacteristic
1223C4⋊C8C22×D4311yescharacteristic
1224C4⋊C8C22×D4311yescharacteristic
1225C4⋊C8C22×D4311yescharacteristic
1226C4⋊C8C22×D4311yescharacteristic
1227C4⋊C8C22×D4311yescharacteristic
1228C4⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230C4⋊C8C22×D4311yescharacteristic
1231C4⋊C8C22×D4311yescharacteristic
1232C4⋊C8C22×D4311yescharacteristic
1233C22⋊C8—431no—
1234C22⋊C8—431no—
1235C22⋊C8—431no—
1236C22⋊C8—431no—
1237C22⋊C8—431no—
1238C22⋊C8—431no—
1239C22⋊C8—431no—
1240C22⋊C8—431no—
1241C22⋊C8—431no—
1242C22⋊C8—431no—
1243C22⋊C8—431no—
1244C22⋊C8—431no—
1245C22⋊C8—431no—
1246C22⋊C8—431no—
1247C22⋊C8—431no—
1248C22⋊C8—431no—
1249C22⋊C8—431no—
1250C22⋊C8—431no—
1251C22⋊C8—431no—
1252C22⋊C8—431no—
1253#97—431no—
1254#97—431no—
1255#97—431no—
1256#97—431no—
1257#97—431no—
1258#97—431no—
1259#97—431no—
1260#97—431no—
1261#97—431no—
1262#97—431no—
1263#97—431no—
1264#97—431no—
1265#97C22×D4311yescharacteristic
1266#97C22×D4311yescharacteristic
1267#97C22×D4311yescharacteristic
1268#97C22×D4311yescharacteristic
1269#97C22×D4311yescharacteristic
1270#97C22×D4311yescharacteristic
1271#97C22×D4311yescharacteristic
1272#97C22×D4311yescharacteristic
1273C4×C8—431no—
1274C4×C8—431no—
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8—431no—
1278C4×C8—431no—
1279C4×C8—431no—
1280C4×C8—431no—
1281C4×C8—431no—
1282C4×C8—431no—
1283C4×C8—431no—
1284C4×C8—431no—
1285C4×C8—431no—
1286C4×C8—431no—
1287C4×C8—431no—
1288C4×C8—431no—
1289C4×C8C22×D4311yescharacteristic
1290C4×C8C22×D4311yescharacteristic
1291C4×C8C22×D4311yescharacteristic
1292C4×C8C22×D4311yescharacteristic
1293#41—1722no—
1294#41—1722no—
1295C2×Q8—431no—
1296C2×Q8—431no—
1297C2×Q8—431no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—1722no—
1302C2×Q8C2×C4×D4311yescharacteristic
1303C2×Q8C2×C4×D4311yescharacteristic
1304C2×Q8C2×C4×D4311yescharacteristic
1305C2×Q8C2×C4×D4311yescharacteristic
1306C2×D4—431no—
1307C2×D4—431no—
1308C2×D4—431no—
1309C2×D4—431no—
1310C2×D4—431no—
1311C2×D4—431no—
1312C2×D4—431no—
1313C2×D4—431no—
1314C2×D4—431no—
1315C2×D4—431no—
1316C22×C4—431no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—431no—
1332C22×C4C2×C4×D4311yescharacteristic
1333C22×C4C2×C4×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335M16—41no—
1336M16—41no—
1337M16—862no—
1338M16—862no—
1339M16—1721no—
1340M16—1721no—
1341M16—1721no—
1342M16—1721no—
1343M16—1721no—
1344M16—1721no—
1345M16—1721no—
1346M16—1721no—
1347C2×C8—22no—
1348C2×C8—41no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—431no—
1352C2×C8—431no—
1353C2×C8—431no—
1354C2×C8—431no—
1355C2×C8—431no—
1356C2×C8—431no—
1357C2×C8—862no—
1358C2×C8—862no—
1359C2×C8—1721no—
1360C2×C8—1721no—
1361C2×C8—1721no—
1362C2×C8—1721no—
1363C2×C8C23×D4311yescharacteristic
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C2×C8C23×D4311yescharacteristic
1370C2×C8C23×D4311yescharacteristic
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4C2×C4×D4311yescharacteristic
1412C4⋊C4C2×C4×D4311yescharacteristic
1413C4⋊C4C2×C4×D4311yescharacteristic
1414C4⋊C4C2×C4×D4311yescharacteristic
1415C4⋊C4C2×C4×D4311yescharacteristic
1416C4⋊C4C2×C4×D4311yescharacteristic
1417C4⋊C4C2×C4×D4311yescharacteristic
1418C4⋊C4C2×C4×D4311yescharacteristic
1419C4⋊C4C2×C4×D4311yescharacteristic
1420C4⋊C4C2×C4×D4311yescharacteristic
1421C4⋊C4C2×C4×D4311yescharacteristic
1422C4⋊C4C2×C4×D4311yescharacteristic
1423C4⋊C4C2×C4×D4311yescharacteristic
1424C4⋊C4C2×C4×D4311yescharacteristic
1425C4⋊C4C2×C4×D4311yescharacteristic
1426C4⋊C4C2×C4×D4311yescharacteristic
1427C22⋊C4—431no—
1428C22⋊C4—431no—
1429C22⋊C4—431no—
1430C22⋊C4—431no—
1431C22⋊C4—431no—
1432C22⋊C4—431no—
1433C22⋊C4—431no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—431no—
1441C22⋊C4—431no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4C2×C4×D4311yescharacteristic
1460C22⋊C4C2×C4×D4311yescharacteristic
1461C22⋊C4C2×C4×D4311yescharacteristic
1462C22⋊C4C2×C4×D4311yescharacteristic
1463C42—431no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—431no—
1470C42—431no—
1471C42—431no—
1472C42—431no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—431no—
1479C42C2×C4×D4311yescharacteristic
1480C42C2×C4×D4311yescharacteristic
1481C42C23×D4311yescharacteristic
1482C42C23×D4311yescharacteristic
1483C42C23×D4311yescharacteristic
1484C42C23×D4311yescharacteristic
1485C42C23×D4311yescharacteristic
1486C42C23×D4311yescharacteristic
1487C23—431no—
1488C23—431no—
1489C23—431no—
1490C23—431no—
1491C23C22×C4×D4311yescharacteristic
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—862no—
1497Q8—862no—
1498Q8—862no—
1499Q8—1721no—
1500Q8—1721no—
1501Q8—1721no—
1502D4—862no—
1503D4—1721no—
1504D4—1721no—
1505D4—1721no—
1506D4—1721no—
1507D4—1721no—
1508D4—1721no—
1509D4—1721no—
1510D4—1721no—
1511D4—1721no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—431no—
1517C2×C4—431no—
1518C2×C4—431no—
1519C2×C4—431no—
1520C2×C4—431no—
1521C2×C4—431no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—431no—
1526C2×C4—431no—
1527C2×C4—431no—
1528C2×C4—862no—
1529C2×C4—862no—
1530C2×C4—862no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—1721no—
1540C2×C4—1721no—
1541C2×C4—1721no—
1542C2×C4—1721no—
1543C2×C4—1721no—
1544C2×C4—1721no—
1545C2×C4—1721no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4C22×C4×D4311yescharacteristic
1549C2×C4C22×C4×D4311yescharacteristic
1550C2×C4C22×C4×D4311yescharacteristic
1551C2×C4C22×C4×D4311yescharacteristic
1552C2×C4C22×C4×D4311yescharacteristic
1553C2×C4C22×C4×D4311yescharacteristic
1554C2×C4C22×C4×D4311yescharacteristic
1555C2×C4C22×C4×D4311yescharacteristic
1556C2×C4C22×C4×D4311yescharacteristic
1557C2×C4C22×C4×D4311yescharacteristic
1558C2×C4C22×C4×D4311yescharacteristic
1559C2×C4C22×C4×D4311yescharacteristic
1560C2×C4C22×C4×D4311yescharacteristic
1561C2×C4C24×D4311yescharacteristic
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—861no—
1570C8—861no—
1571C8—861no—
1572C8—861no—
1573C8—861no—
1574C8—861no—
1575C8—861no—
1576C8—861no—
1577C8#1306337312yes—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—861no—
1582C22—861no—
1583C22—861no—
1584C22—861no—
1585C22—861no—
1586C22—861no—
1587C22—861no—
1588C22—861no—
1589C22—861no—
1590C22—861no—
1591C22—861no—
1592C22—861no—
1593C22C23×C4×D4311yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—432no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—861no—
1618C4—861no—
1619C4C2×#1306337311yescharacteristic
1620C4#1458373511yescharacteristic
1621C2—41no—
1622C2—1721no—
1623C2—1721no—
1624C2—1721no—
1625C2—1721no—
1626C2C4×#1306337311yescharacteristic
1627C2#568×D4311yescharacteristic
1628C2#1914930811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2961C2
prime radical#14583479C4
cosocleC2×C4×C43C25
hypercenter#2961D43
hypocenterC43#60344
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2961

Complements

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

NH ≅ G/Ntype
2. #19143764C2semidirect
3. #19143764C2semidirect
4. #19143763C2semidirect
5. #19143762C2semidirect
6. #19143753C2semidirect
7. #19143747C2semidirect
8. #19143742C2semidirect
9. #19143742C2semidirect
10. #19143725C2semidirect
11. #19143711C2semidirect
12. #19143693C2semidirect
13. #19143690C2semidirect
14. #19143688C2semidirect
15. #19143688C2semidirect
16. #19143681C2semidirect
17. #19143606C2semidirect
18. #19143601C2semidirect
19. #19143595C2semidirect
20. #19143595C2semidirect
21. #19143589C2semidirect
22. #19143588C2semidirect
23. #19143579C2semidirect
24. #19143576C2semidirect
25. #19143566C2semidirect
26. #19143560C2semidirect
27. #19143547C2semidirect
28. #19143540C2semidirect
29. #19143531C2semidirect
30. #19143526C2semidirect
31. C43×#2961C2semidirect
836. #2961D43semidirect
1017. C43#60344semidirect

Maximal subgroups

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

subgroupindex
#191480262
#191437642
#191437632
#191437622
#191437532
#191437472
#191437422
#191437252
#191437112
#191436932
#191436902
#191436882
#191436812
#191436062
#191436012
#191435952
#191435892
#191435882
#191435792
#191435762
#191435662
#191435602
#191435472
#191435402
#191435312
#191435262
C43×#29612
#6034443