Finite Group Databasebeta

← #25265405

Subgroups — #25265405

Order 11008.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583432C211yesmaximal, characteristic, complemented
2C2×#117×D43C211yesmaximal, characteristic, complemented
3#19138860C211yesmaximal, characteristic, complemented
4#19138837C211yesmaximal, characteristic, complemented
5#19138826C211yesmaximal, characteristic, complemented
6#19138798C211yesmaximal, characteristic, complemented
7#19138775C211yesmaximal, characteristic, complemented
8#19138771C211yesmaximal, characteristic, complemented
9#19138748C211yesmaximal, characteristic, complemented
10#19138737C211yesmaximal, characteristic, complemented
11#19138714C211yesmaximal, characteristic, complemented
12#19138713C211yesmaximal, characteristic, complemented
13#19138690C211yesmaximal, characteristic, complemented
14#19138411C211yesmaximal, characteristic, complemented
15#19138331C211yesmaximal, characteristic, complemented
16#19138136C211yesmaximal, characteristic
17#19138058C211yesmaximal, characteristic, complemented
18#19137872C211yesmaximal, characteristic, complemented
19#19137853C211yesmaximal, characteristic, complemented
20#19137853C211yesmaximal, characteristic, complemented
21#19137836C211yesmaximal, characteristic, complemented
22#19137129C211yesmaximal, characteristic, complemented
23#19137103C211yesmaximal, characteristic, complemented
24#19137096C211yesmaximal, characteristic, complemented
25#19137096C211yesmaximal, characteristic, complemented
26#19137089C211yesmaximal, characteristic, complemented
27#19137053C211yesmaximal, characteristic, complemented
28#19137033C211yesmaximal, characteristic, complemented
29#19137033C211yesmaximal, characteristic, complemented
30C4×#13063287C211yesmaximal, characteristic, complemented
31C43×#2478C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33#14583432—28no—
34C2×#13063319C2211yescharacteristic, complemented
35C2×#13063315C2211yescharacteristic, complemented
36C2×#13063311C2211yescharacteristic
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063307C2211yescharacteristic
39C2×#13063303C2211yescharacteristic
40C2×#13063303C2211yescharacteristic, complemented
41C2×#13063300C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063290C2211yescharacteristic, complemented
46C2×C4×D172C2211yescharacteristic
47C2×#13063287C2211yescharacteristic
48C2×#13063287C2211yescharacteristic
49C2×#13063287C2211yescharacteristic
50C2×#13063287C2211yescharacteristic
51C2×#13063287C2211yescharacteristic
52C2×#13063287C2211yescharacteristic, complemented
53C2×(C22⋊D43)⋊C4C2211yescharacteristic
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×#13063284C2211yescharacteristic
56C2×#13063283C2211yescharacteristic
57C2×#13063283C2211yescharacteristic
58C2×#13063283C2211yescharacteristic, complemented
59C2×#13063282C2211yescharacteristic
60C2×#13063282C2211yescharacteristic
61C2×#13063281C2211yescharacteristic
62C2×#13063281C2211yescharacteristic
63#117×D43—28no—
64C2×C4⋊C4×D43C2211yescharacteristic
65C2×C4⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69C2×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic, complemented
71#14582841C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582834C2211yescharacteristic
75#14582834C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582827C2211yescharacteristic
83#14582827C2211yescharacteristic
84#14582825C2211yescharacteristic
85#14582821C2211yescharacteristic
86#14582821C2211yescharacteristic
87#14582821C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582820C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582816C2211yescharacteristic, complemented
93#14582815C2211yescharacteristic
94#14582815C2211yescharacteristic
95#14582814C2211yescharacteristic
96#14582814C2211yescharacteristic
97#14582812C2211yescharacteristic
98#14582809C2211yescharacteristic
99#14582803C2211yescharacteristic, complemented
100#14582801C2211yescharacteristic
101#14582801C2211yescharacteristic, complemented
102#14582800C2211yescharacteristic
103#14582798C2211yescharacteristic, complemented
104#14582796C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic
106#14582792C2211yescharacteristic
107#14582791C2211yescharacteristic
108#14582791C2211yescharacteristic, complemented
109#14582790C2211yescharacteristic
110#14582790C2211yescharacteristic, complemented
111#14582789C2211yescharacteristic
112#14582789C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic, complemented
114#14582789C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic
116#14582788C2211yescharacteristic, complemented
117#14582787C2211yescharacteristic
118#14582786C2211yescharacteristic, complemented
119#14582785C2211yescharacteristic, complemented
120#14582785C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582783C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582780C2211yescharacteristic, complemented
125#14582778C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582773C2211yescharacteristic
138#14582773C2211yescharacteristic
139#14582773C2211yescharacteristic, complemented
140#14582770C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic
143#14582770C2211yescharacteristic
144#14582770C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic, complemented
147#14582758C2211yescharacteristic
148#14582756C2211yescharacteristic
149#14582754C2211yescharacteristic
150#14582754C2211yescharacteristic
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4⋊C4×Dic43C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156#14582750C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158C22⋊C4×Dic43C2211yescharacteristic
159C22⋊C4×Dic43C2211yescharacteristic
160C4×(C2×D43)⋊C4C2211yescharacteristic
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162#14582746C2211yescharacteristic
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582746C2211yescharacteristic
167#14582746C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582744C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#126×C43C2211yescharacteristic
175C2×#117×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic
179C43×#397C2211yescharacteristic
180C43×#389C2211yescharacteristic, complemented
181C43×#389C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic
183C43×#387C2211yescharacteristic, complemented
184C43×#387C2211yescharacteristic, complemented
185C43×#387C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic
187C43×#385C2211yescharacteristic
188C4×C4⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43—24no—
200C22×C4×D43—24no—
201C22×C4×D43—24no—
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214#13063319—24no—
215#13063315—24no—
216#13063311—24no—
217#13063310—24no—
218#13063307—24no—
219#13063303—24no—
220#13063303—24no—
221#13063300—24no—
222#13063298—24no—
223#13063295—24no—
224#13063295—24no—
225#13063290—24no—
226C4×D172—24no—
227#13063287—24no—
228#13063287—24no—
229#13063287—24no—
230#13063287—24no—
231#13063287—24no—
232#13063287—24no—
233(C22⋊D43)⋊C4—24no—
234(C22⋊D43)⋊C4—24no—
235#13063284—24no—
236#13063283—24no—
237#13063283—24no—
238#13063283—24no—
239#13063282—24no—
240#13063282—24no—
241#13063281—24no—
242#13063281D418yescomplemented
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C4⋊C4×D43—24no—
264C4⋊C4×D43—24no—
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C22⋊C4×D43—24no—
304C22⋊C4×D43—24no—
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C42×D43—24no—
322C42×D43—24no—
323C42×D43—24no—
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349#126×C43—24no—
350#117×C43—24no—
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43C2411yescharacteristic
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C2×C22⋊D43—22no—
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43—41no—
420C22×Dic43—22no—
421C22×Dic43—22no—
422C22×Dic43C2×D414yes—
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C2×D172—22no—
436C2×D172—22no—
437C2×D172—22no—
438C2×D172—22no—
439C2×D172—22no—
440C2×D172—22no—
441C2×D172—22no—
442C2×D172—22no—
443C2×D172—22no—
444C2×D172—22no—
445C2×D172—22no—
446C2×D172—41no—
447C2×D172—41no—
448C2×D172—41no—
449C2×D172#4114yes—
450C2×C4×D43—232no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×C4×D43#4114yes—
486C2×C4×D43#4114yes—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—41no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—22no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43C2×D414yes—
508C42×C43—22no—
509C42×C43—22no—
510C42×C43—22no—
511C42×C43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—41no—
514C22⋊Dic43—41no—
515C22⋊Dic43C2×D414yes—
516(C2×D43)⋊C4—22no—
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4#4114yes—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—22no—
553C4⋊Dic43—22no—
554C4⋊Dic43—41no—
555C4⋊Dic43—41no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4C2×D414yes—
569Dic43⋊C4C2×D414yes—
570C4×Dic43—22no—
571C4×Dic43—22no—
572C4×Dic43—22no—
573C4×Dic43—22no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—22no—
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43—41no—
583C4×Dic43—41no—
584C4×Dic43C2×D414yes—
585C4×Dic43C2×D414yes—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43C22×D412yes—
593C23×C43C2511yescharacteristic
594C22×D43—21no—
595C22×D43—21no—
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—28no—
599C22×D43—21no—
600C22×D43—21no—
601C22×D43—21no—
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—44no—
619C22×D43—44no—
620C22×D43—44no—
621C22×D43—44no—
622C22×D43—44no—
623C22×D43—44no—
624C22×D43C2×#4112yes—
625C22×D43C2×#4112yes—
626C22×D43C2×#4112yes—
627C22×D43C2×#4112yes—
628C22×D43C2×#4112yes—
629C2×C4×C43—28no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43C22×D412yes—
667C2×C4×C43C22×D412yes—
668C2×C4×C43C2×#4112yes—
669C2×C4×C43C2×#4112yes—
670C2×C4×C43C2×#4112yes—
671C2×C4×C43C2×#4112yes—
672C22⋊D43—44no—
673C22⋊D43—44no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—28no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43C22×D412yes—
705C2×Dic43C22×D412yes—
706C2×Dic43C22×D412yes—
707C2×Dic43C22×D412yes—
708C2×Dic43C2×#4112yes—
709C2×Dic43C2×#4112yes—
710C2×Dic43C2×#4112yes—
711D172—28no—
712D172—44no—
713D172—44no—
714D172—44no—
715D172—44no—
716C4×D43—28no—
717C4×D43—28no—
718C4×D43—28no—
719C4×D43—28no—
720C4×D43—44no—
721C4×D43—44no—
722C4×D43—44no—
723C4×D43—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728Dic86—44no—
729#34740—431nomaximal, Sylow
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43C23×D411yescharacteristic
738C22×C43C22×#4111yescharacteristic
739C22×C43C22×#4111yescharacteristic
740C22×C43C22×#4111yescharacteristic
741C22×C43C22×#4111yescharacteristic
742C22×C43#58511yescharacteristic
743C22×C43#58511yescharacteristic
744C2×D43—22no—
745C2×D43—22no—
746C2×D43—22no—
747C2×D43—22no—
748C2×D43—22no—
749C2×D43—22no—
750C2×D43—22no—
751C2×D43—22no—
752C2×D43—22no—
753C2×D43—22no—
754C2×D43—22no—
755C2×D43—22no—
756C2×D43—416no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43#52914yescomplemented
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—22no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#52514yes—
799C2×#529—431no—
800C22×#117—431no—
801#2481—431no—
802#2480—431no—
803#2479—431no—
804#2478D4311yescharacteristic, complemented
805#2477—431no—
806#2476—431no—
807#2475—431no—
808#2474—431no—
809#2473—431no—
810#2472—431no—
811#2471—431no—
812#2470—431no—
813#2449—431no—
814#2443—431no—
815#2424—431no—
816#2418—431no—
817#2396—431no—
818#2395—431no—
819#2395—431no—
820#2392—431no—
821C4×C22⋊Q8—431no—
822C4×#121—431no—
823C4×#120—431no—
824C4×#120—431no—
825#2298—431no—
826#2293—431no—
827#2290—431no—
828#2290—431no—
829C42×D4—431no—
830C2×C43—42no—
831C2×C43C2×#52511yescharacteristic
832C2×C43C2×#52911yescharacteristic
833C2×C43#345511yescharacteristic
834C2×C43D4×#4111yescharacteristic
835C2×C43D4×#4111yescharacteristic
836C2×C43#347511yescharacteristic
837C2×C43#347511yescharacteristic
838D43—24no—
839D43—42no—
840D43—42no—
841D43—81no—
842C24×C4—431no—
843#529—868no—
844C2×#126—431no—
845C2×#126C2×D4311yescharacteristic
846C2×#125—431no—
847C2×#124—431no—
848C2×#123—431no—
849C2×#123—431no—
850C2×C22⋊Q8—431no—
851C2×C22⋊Q8—431no—
852C2×#121—431no—
853C2×#121—431no—
854C2×#120—431no—
855C2×#120—431no—
856C2×C4×Q8—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4—431no—
863C2×C4×D4—431no—
864C2×C4×D4—431no—
865C2×C4×D4—431no—
866C2×#117—431no—
867C2×#117—431no—
868C2×#117—431no—
869C2×#117—431no—
870C2×#117—431no—
871C2×#117—431no—
872C2×#117—431no—
873C2×#117—431no—
874C2×#117—868no—
875C2×#117C2×D4311yescharacteristic
876C22×C4⋊C4—431no—
877C22×C4⋊C4—431no—
878C22×C22⋊C4—431no—
879C22×C22⋊C4—431no—
880C22×C42—431no—
881C22×C42—431no—
882C22×C42—431no—
883#400—431no—
884#400—431no—
885#400—431no—
886#399—431no—
887#399—431no—
888#399—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398C2×D4311yescharacteristic, complemented
893#398C2×D4311yescharacteristic, complemented
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397C2×D4311yescharacteristic
900#397C2×D4311yescharacteristic
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#393—431no—
914#392—431no—
915#391—431no—
916#390—431no—
917#390—431no—
918#390—431no—
919#389—431no—
920#389—431no—
921#389C2×D4311yescharacteristic, complemented
922#389C2×D4311yescharacteristic, complemented
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388C2×D4311yescharacteristic
937#387—431no—
938#387—431no—
939#387—431no—
940#387—431no—
941#387—431no—
942#387—431no—
943#387—431no—
944#387C2×D4311yescharacteristic, complemented
945#387C2×D4311yescharacteristic, complemented
946#387C2×D4311yescharacteristic, complemented
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385C2×D4311yescharacteristic
970#385C2×D4311yescharacteristic
971#380—431no—
972#380—431no—
973#379—431no—
974#379—431no—
975C4×C4⋊C4—431no—
976C4×C4⋊C4—431no—
977C4×C4⋊C4—431no—
978C4×C4⋊C4—431no—
979C4×C4⋊C4—431no—
980C4×C4⋊C4—431no—
981C4×C4⋊C4—431no—
982C4×C4⋊C4C2×D4311yescharacteristic, complemented
983C4×C22⋊C4—431no—
984C4×C22⋊C4—431no—
985C4×C22⋊C4—431no—
986C4×C22⋊C4—431no—
987C4×C22⋊C4—431no—
988C4×C22⋊C4—431no—
989C4×C22⋊C4—431no—
990C4×C22⋊C4—431no—
991C4×C22⋊C4—431no—
992C4×C22⋊C4—431no—
993C4×C22⋊C4—431no—
994C4×C22⋊C4—431no—
995C4×C22⋊C4—431no—
996C4×C22⋊C4—431no—
997#376—431no—
998C43—431no—
999C43#3474011yescharacteristic, complemented, Sylow
1000C25—431no—
1001C22×Q8—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C23×C4—431no—
1010C23×C4—431no—
1011C23×C4—431no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—431no—
1022C23×C4—864no—
1023C23×C4—864no—
1024C23×C4—864no—
1025C23×C4C22×D4311yescharacteristic
1026#126—24no—
1027#126—864no—
1028#125—864no—
1029#124—864no—
1030#123—864no—
1031#123—864no—
1032C22⋊Q8—864no—
1033C22⋊Q8—864no—
1034#121—864no—
1035#121—864no—
1036#120—864no—
1037#120—864no—
1038C4×Q8—864no—
1039C4×D4—864no—
1040C4×D4—864no—
1041C4×D4—864no—
1042C4×D4—864no—
1043C4×D4—864no—
1044C4×D4—864no—
1045C4×D4—864no—
1046C4×D4—864no—
1047C4×D4—864no—
1048#117—24no—
1049#117—438no—
1050#117—864no—
1051#117—864no—
1052#117—864no—
1053#117—864no—
1054#117—864no—
1055#117—864no—
1056#117—864no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—864no—
1078C2×C4⋊C4—864no—
1079C2×C4⋊C4C22×D4311yescharacteristic
1080C2×C4⋊C4C22×D4311yescharacteristic
1081C2×C4⋊C4C22×D4311yescharacteristic
1082C2×C4⋊C4C22×D4311yescharacteristic
1083C2×C4⋊C4C22×D4311yescharacteristic
1084C2×C4⋊C4C22×D4311yescharacteristic
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—864no—
1130C2×C22⋊C4—864no—
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C42—431no—
1138C2×C42—431no—
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—431no—
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—864no—
1154C2×C42—864no—
1155C2×C42—864no—
1156C2×C42C22×D4311yescharacteristic
1157C2×C42C22×D4311yescharacteristic
1158C2×C42C22×D4311yescharacteristic
1159C2×C42C22×D4311yescharacteristic
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186#95C22×D4311yescharacteristic
1187#95C22×D4311yescharacteristic
1188#95C22×D4311yescharacteristic
1189#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
1191#95C22×D4311yescharacteristic
1192#95C22×D4311yescharacteristic
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196C24—431no—
1197C24—431no—
1198C24—431no—
1199C24—431no—
1200C24—862no—
1201C24—862no—
1202C24—862no—
1203C24—862no—
1204C24—862no—
1205C24—1721no—
1206C24—1721no—
1207C24C23×D4311yescharacteristic
1208C2×Q8—862no—
1209C2×Q8—862no—
1210C2×Q8—1721no—
1211C2×D4—434no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—862no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—862no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—862no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—431no—
1236C22×C4—434no—
1237C22×C4—431no—
1238C22×C4—431no—
1239C22×C4—431no—
1240C22×C4—431no—
1241C22×C4—434no—
1242C22×C4—434no—
1243C22×C4—431no—
1244C22×C4—431no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—862no—
1251C22×C4—862no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—8632no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—1721no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—434no—
1314C4⋊C4—434no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
1326C4⋊C4—862no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—434no—
1339C22⋊C4—434no—
1340C22⋊C4—862no—
1341C22⋊C4—862no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4D4×D4314yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—434no—
1382C42—434no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C42—862no—
1391C42—862no—
1392C42—862no—
1393C42—862no—
1394C42—862no—
1395C42—1721no—
1396C42—1721no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—432no—
1404C23—432no—
1405C23—432no—
1406C23—432no—
1407C23—432no—
1408C23—868no—
1409C23—861no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—1724no—
1433C23—1724no—
1434C23—1724no—
1435C23—1724no—
1436C23—1724no—
1437C23—1724no—
1438C23C2×D4×D4312yes—
1439C23C24×D4311yescharacteristic
1440Q8—1724no—
1441D4—868no—
1442D4—1724no—
1443D4—1724no—
1444D4—1724no—
1445D4—1724no—
1446D4—1724no—
1447D4—1724no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—432no—
1486C2×C4—432no—
1487C2×C4—432no—
1488C2×C4—432no—
1489C2×C4—432no—
1490C2×C4—432no—
1491C2×C4—432no—
1492C2×C4—868no—
1493C2×C4—868no—
1494C2×C4—868no—
1495C2×C4—868no—
1496C2×C4—868no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—1724no—
1527C2×C4—1724no—
1528C2×C4—1724no—
1529C2×C4—1724no—
1530C2×C4—1724no—
1531C2×C4—1724no—
1532C2×C4—1724no—
1533C2×C4—1724no—
1534C2×C4C2×D4×D4312yes—
1535C2×C4C2×D4×D4312yes—
1536C2×C4#41×D4312yes—
1537C2×C4#41×D4312yes—
1538C2×C4#41×D4312yes—
1539C2×C4#41×D4312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—434no—
1548C22—862no—
1549C22—862no—
1550C22—862no—
1551C22—862no—
1552C22—862no—
1553C22—862no—
1554C22—862no—
1555C22—862no—
1556C22—862no—
1557C22—862no—
1558C22—862no—
1559C22—862no—
1560C22—17216no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22C22×D4×D4311yescharacteristic
1577C22C2×#41×D4311yescharacteristic
1578C22C2×#41×D4311yescharacteristic
1579C22C2×#41×D4311yescharacteristic
1580C22C2×#41×D4311yescharacteristic
1581C22#1458373611yescharacteristic
1582C22#1458373611yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—434no—
1598C4—862no—
1599C4—862no—
1600C4—862no—
1601C4—862no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C2—42no—
1610C2—864no—
1611C2—3441no—
1612C2—1722no—
1613C2—1722no—
1614C2#525×D4311yescharacteristic
1615C2#529×D4311yescharacteristic
1616C2#1914798611yescharacteristic
1617C2#1914808211yescharacteristic
1618C2#1914808211yescharacteristic
1619C2#1914814811yescharacteristic
1620C2#1914815611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2478C2
prime radical#19138136C2
hypercenter#2478D43
hypocenterC43#34740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2478

Complements

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

NH ≅ G/Ntype
1. C2×#14583432C2semidirect
2. C2×#117×D43C2semidirect
3. #19138860C2semidirect
4. #19138837C2semidirect
5. #19138826C2semidirect
6. #19138798C2semidirect
7. #19138775C2semidirect
8. #19138771C2semidirect
9. #19138748C2semidirect
10. #19138737C2semidirect
11. #19138714C2semidirect
12. #19138713C2semidirect
13. #19138690C2semidirect
14. #19138411C2semidirect
15. #19138331C2semidirect
17. #19138058C2semidirect
18. #19137872C2semidirect
19. #19137853C2semidirect
20. #19137853C2semidirect
21. #19137836C2semidirect
22. #19137129C2semidirect
23. #19137103C2semidirect
24. #19137096C2semidirect
25. #19137096C2semidirect
26. #19137089C2semidirect
27. #19137053C2semidirect
28. #19137033C2semidirect
29. #19137033C2semidirect
30. C4×#13063287C2semidirect
31. C43×#2478C2semidirect
34. C2×#13063319C22semidirect
35. C2×#13063315C22semidirect
37. C2×#13063310C22semidirect
40. C2×#13063303C22semidirect
45. C2×#13063290C22semidirect
52. C2×#13063287C22semidirect
58. C2×#13063283C22semidirect
70. C2×C42×D43C22semidirect
71. #14582841C22semidirect
72. #14582840C22semidirect
73. #14582840C22semidirect
75. #14582834C22semidirect
76. #14582834C22semidirect
77. #14582833C22semidirect
78. #14582833C22semidirect
79. #14582832C22semidirect
80. #14582828C22semidirect
81. #14582828C22semidirect
87. #14582821C22semidirect
88. #14582821C22semidirect
89. #14582820C22semidirect
92. #14582816C22semidirect
99. #14582803C22semidirect
101. #14582801C22semidirect
103. #14582798C22semidirect
104. #14582796C22semidirect
108. #14582791C22semidirect
110. #14582790C22semidirect
112. #14582789C22semidirect
113. #14582789C22semidirect
114. #14582789C22semidirect
116. #14582788C22semidirect
118. #14582786C22semidirect
119. #14582785C22semidirect
120. #14582785C22semidirect
121. #14582783C22semidirect
122. #14582783C22semidirect
123. #14582781C22semidirect
124. #14582780C22semidirect
139. #14582773C22semidirect
146. #14582770C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4⋊C4×Dic43C22semidirect
155. #14582750C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
167. #14582746C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582744C22semidirect
173. C42×Dic43C22semidirect
176. C43×#398C22semidirect
177. C43×#398C22semidirect
180. C43×#389C22semidirect
181. C43×#389C22semidirect
183. C43×#387C22semidirect
184. C43×#387C22semidirect
185. C43×#387C22semidirect
188. C4×C4⋊C4×C43C22semidirect
242. #13063281D4semidirect
772. C2×D43#529semidirect
804. #2478D43semidirect
892. #398C2×D43semidirect
893. #398C2×D43semidirect
921. #389C2×D43semidirect
922. #389C2×D43semidirect
944. #387C2×D43semidirect
945. #387C2×D43semidirect
946. #387C2×D43semidirect
982. C4×C4⋊C4C2×D43semidirect
999. C43#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#145834322
C2×#117×D432
#191388602
#191388372
#191388262
#191387982
#191387752
#191387712
#191387482
#191387372
#191387142
#191387132
#191386902
#191384112
#191383312
#191381362
#191380582
#191378722
#191378532
#191378362
#191371292
#191371032
#191370962
#191370892
#191370532
#191370332
C4×#130632872
C43×#24782
#3474043