Finite Group Databasebeta

← #25260139

Subgroups — #25260139

Order 11008.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583487C211yesmaximal, characteristic
2#19137783C211yesmaximal, characteristic, complemented
3#19137768C211yesmaximal, characteristic, complemented
4#19137751C211yesmaximal, characteristic, complemented
5#19137744C211yesmaximal, characteristic, complemented
6#19137710C211yesmaximal, characteristic, complemented
7#19137675C211yesmaximal, characteristic, complemented
8#19137663C211yesmaximal, characteristic, complemented
9#19137642C211yesmaximal, characteristic, complemented
10#19137614C211yesmaximal, characteristic, complemented
11#19137611C211yesmaximal, characteristic, complemented
12#19137600C211yesmaximal, characteristic, complemented
13#19137590C211yesmaximal, characteristic, complemented
14#19137531C211yesmaximal, characteristic, complemented
15#19137520C211yesmaximal, characteristic, complemented
16#19137502C211yesmaximal, characteristic, complemented
17C4⋊C4×C22⋊D43C211yesmaximal, characteristic, complemented
18#19137409C211yesmaximal, characteristic, complemented
19#19137380C211yesmaximal, characteristic, complemented
20#19137371C211yesmaximal, characteristic, complemented
21#19137365C211yesmaximal, characteristic, complemented
22#19137301C211yesmaximal, characteristic, complemented
23#19137292C211yesmaximal, characteristic, complemented
24#19137287C211yesmaximal, characteristic, complemented
25#19137262C211yesmaximal, characteristic, complemented
26#19137253C211yesmaximal, characteristic, complemented
27#19137253C211yesmaximal, characteristic, complemented
28#19137193C211yesmaximal, characteristic, complemented
29C4×#13063294C211yesmaximal, characteristic, complemented
30C4×#13063294C211yesmaximal, characteristic, complemented
31C2×C43×#385C211yesmaximal, characteristic, complemented
32#14583487C4116yescomplemented
33C2×#13063318C2211yescharacteristic
34C2×#13063318C2211yescharacteristic
35C2×#13063311C2211yescharacteristic
36C2×#13063311C2211yescharacteristic
37C2×#13063307C2211yescharacteristic
38C2×#13063307C2211yescharacteristic
39C2×#13063304C2211yescharacteristic
40C2×#13063299C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063294C2211yescharacteristic
44C2×#13063294C2211yescharacteristic
45C2×#13063290C2211yescharacteristic, complemented
46C2×#13063287C2211yescharacteristic, complemented
47C2×C4×C22⋊D43C2211yescharacteristic
48C2×C4×C22⋊D43C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×C4×C22⋊D43C2211yescharacteristic
51C2×C4×C22⋊D43C2211yescharacteristic
52C2×C4×C22⋊D43C2211yescharacteristic
53C2×C4×C22⋊D43C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×C4×C22⋊D43C2211yescharacteristic
57C2×#13063283C2211yescharacteristic, complemented
58C2×C4⋊C4×D43C2211yescharacteristic, complemented
59#14582804C2211yescharacteristic, complemented
60#14582803C2211yescharacteristic, complemented
61#14582803C2211yescharacteristic, complemented
62#14582800C2211yescharacteristic, complemented
63#14582799C2211yescharacteristic
64#14582799C2211yescharacteristic
65#14582799C2211yescharacteristic
66#14582799C2211yescharacteristic
67#14582796C2211yescharacteristic, complemented
68#14582796C2211yescharacteristic, complemented
69#14582795C2211yescharacteristic, complemented
70#14582795C2211yescharacteristic, complemented
71#14582794C2211yescharacteristic, complemented
72#14582794C2211yescharacteristic, complemented
73#14582794C2211yescharacteristic, complemented
74#14582794C2211yescharacteristic, complemented
75#14582793C2211yescharacteristic
76#14582793C2211yescharacteristic
77#14582793C2211yescharacteristic
78#14582793C2211yescharacteristic
79#14582792C2211yescharacteristic
80#14582792C2211yescharacteristic
81#14582792C2211yescharacteristic
82#14582792C2211yescharacteristic
83#14582792C2211yescharacteristic
84#14582792C2211yescharacteristic
85#14582792C2211yescharacteristic
86#14582792C2211yescharacteristic
87#14582791C2211yescharacteristic, complemented
88#14582791C2211yescharacteristic, complemented
89#14582789C2211yescharacteristic, complemented
90#14582789C2211yescharacteristic, complemented
91#14582789C2211yescharacteristic, complemented
92#14582789C2211yescharacteristic, complemented
93#14582788C2211yescharacteristic, complemented
94#14582788C2211yescharacteristic, complemented
95#14582787C2211yescharacteristic
96#14582787C2211yescharacteristic
97#14582787C2211yescharacteristic
98#14582787C2211yescharacteristic
99#14582786C2211yescharacteristic, complemented
100#14582786C2211yescharacteristic, complemented
101#14582784C2211yescharacteristic, complemented
102#14582784C2211yescharacteristic, complemented
103#14582782C2211yescharacteristic, complemented
104#14582782C2211yescharacteristic, complemented
105#14582781C2211yescharacteristic, complemented
106#14582781C2211yescharacteristic, complemented
107#14582780C2211yescharacteristic, complemented
108#14582780C2211yescharacteristic, complemented
109#14582780C2211yescharacteristic, complemented
110#14582780C2211yescharacteristic, complemented
111#14582778C2211yescharacteristic
112#14582778C2211yescharacteristic
113#14582778C2211yescharacteristic
114#14582778C2211yescharacteristic
115#14582778C2211yescharacteristic
116#14582778C2211yescharacteristic
117#14582778C2211yescharacteristic
118#14582778C2211yescharacteristic
119#14582777C2211yescharacteristic, complemented
120#14582777C2211yescharacteristic, complemented
121#14582775C2211yescharacteristic
122#14582775C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic
125#14582773C2211yescharacteristic, complemented
126#14582773C2211yescharacteristic, complemented
127#14582772C2211yescharacteristic
128#14582772C2211yescharacteristic
129#14582772C2211yescharacteristic
130#14582772C2211yescharacteristic
131#14582772C2211yescharacteristic
132#14582772C2211yescharacteristic
133#14582772C2211yescharacteristic
134#14582772C2211yescharacteristic
135#14582770C2211yescharacteristic, complemented
136#14582770C2211yescharacteristic, complemented
137#14582770C2211yescharacteristic, complemented
138#14582770C2211yescharacteristic, complemented
139#14582768C2211yescharacteristic, complemented
140#14582766C2211yescharacteristic, complemented
141#14582764C2211yescharacteristic, complemented
142#14582763C2211yescharacteristic, complemented
143#14582761C2211yescharacteristic, complemented
144#14582759C2211yescharacteristic
145#14582759C2211yescharacteristic
146#14582758C2211yescharacteristic, complemented
147#14582756C2211yescharacteristic, complemented
148#14582756C2211yescharacteristic, complemented
149#14582755C2211yescharacteristic
150#14582755C2211yescharacteristic
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
158C4×C22⋊Dic43C2211yescharacteristic
159C4×C22⋊Dic43C2211yescharacteristic
160C4×C22⋊Dic43C2211yescharacteristic
161C4×C22⋊Dic43C2211yescharacteristic
162C4×C22⋊Dic43C2211yescharacteristic
163C4×C22⋊Dic43C2211yescharacteristic
164C4×C22⋊Dic43C2211yescharacteristic
165C4×C22⋊Dic43C2211yescharacteristic
166C4×C22⋊Dic43C2211yescharacteristic
167C4×C22⋊Dic43C2211yescharacteristic
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582744C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173C24×C4×C43C2211yescharacteristic
174C22×C4⋊C4×C43C2211yescharacteristic
175C22×C4⋊C4×C43C2211yescharacteristic
176C22×C22⋊C4×C43C2211yescharacteristic
177C22×C22⋊C4×C43C2211yescharacteristic
178C43×#385C2211yescharacteristic
179C43×#385C2211yescharacteristic
180C43×#385C2211yescharacteristic
181C43×#385C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C2×#95×C43C2211yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202#13063318C2×C418yescomplemented
203#13063318C2×C418yescomplemented
204#13063311C2×C418yescomplemented
205#13063311C2×C418yescomplemented
206#13063307C2×C418yescomplemented
207#13063307C2×C418yescomplemented
208#13063304C2×C418yescomplemented
209#13063299C2×C418yescomplemented
210#13063298C2×C418yescomplemented
211#13063298C2×C418yescomplemented
212#13063294C2×C418yescomplemented
213#13063294C2×C418yescomplemented
214#13063290—42no—
215#13063287—42no—
216C4×C22⋊D43—42no—
217C4×C22⋊D43—42no—
218C4×C22⋊D43—42no—
219C4×C22⋊D43—42no—
220C4×C22⋊D43—42no—
221C4×C22⋊D43—42no—
222C4×C22⋊D43—42no—
223C4×C22⋊D43—42no—
224C4×C22⋊D43C2×C418yescomplemented
225C4×C22⋊D43C2×C418yescomplemented
226#13063283—42no—
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C4⋊C4×D43—42no—
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C25×C43C2311yescharacteristic
335C23×C4×C43—42no—
336C23×C4×C43—42no—
337C23×C4×C43—42no—
338C23×C4×C43C2311yescharacteristic
339C23×C4×C43C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343C23×C4×C43C2311yescharacteristic
344C23×C4×C43C2311yescharacteristic
345C23×C4×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43—42no—
349C2×C4⋊C4×C43—42no—
350C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43—42no—
359C2×C22⋊C4×C43C2×C418yescomplemented
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43—22no—
377C24×C43—22no—
378C24×C43—41no—
379C24×C43—41no—
380C24×C43—41no—
381C24×C43—41no—
382C24×C43C22×C414yes—
383C24×C43C2411yescharacteristic
384C24×C43C2411yescharacteristic
385C24×C43C2411yescharacteristic
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C22×C4×C43—22no—
389C22×C4×C43—22no—
390C22×C4×C43—22no—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—416no—
417C22×C4×C43C22×C414yes—
418C22×C4×C43C22×C414yes—
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43C22×C414yes—
444C2×C22⋊D43C22×C414yes—
445C2×C22⋊D43C22×C414yes—
446C2×C22⋊D43C22×C414yes—
447C2×C22⋊D43C22×C414yes—
448C2×C22⋊D43C22×C414yes—
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C2×D172—41no—
464C2×D172—41no—
465C2×D172C22×C414yescomplemented
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—41no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—41no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43C22×C414yescomplemented
483C2×C4×D43C22×C414yescomplemented
484C2×Dic86—41no—
485C2×Dic86—41no—
486C2×Dic86C22×C414yescomplemented
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43C22×C414yes—
500C22⋊C4×C43C22×C414yes—
501C22⋊C4×C43C22×C414yes—
502C22⋊C4×C43C22×C414yes—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43—22no—
506C22⋊Dic43—22no—
507C22⋊Dic43—41no—
508C22⋊Dic43—41no—
509C22⋊Dic43—41no—
510C22⋊Dic43—41no—
511C22⋊Dic43—41no—
512C22⋊Dic43—41no—
513C22⋊Dic43—41no—
514C22⋊Dic43—41no—
515C22⋊Dic43C22×C414yes—
516C22⋊Dic43C22×C414yes—
517C22⋊Dic43C22×C414yes—
518C22⋊Dic43C22×C414yes—
519C22⋊Dic43C22×C414yes—
520C22⋊Dic43C22×C414yes—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4C22×C414yescomplemented
534(C2×D43)⋊C4C22×C414yescomplemented
535(C2×D43)⋊C4C22×C414yescomplemented
536(C2×D43)⋊C4C22×C414yescomplemented
537C4⋊Dic43—41no—
538C4⋊Dic43—41no—
539C4⋊Dic43—41no—
540C4⋊Dic43—41no—
541C4⋊Dic43C22×C414yescomplemented
542C4⋊Dic43C22×C414yescomplemented
543Dic43⋊C4—22no—
544Dic43⋊C4—22no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551Dic43⋊C4—41no—
552Dic43⋊C4—41no—
553Dic43⋊C4—41no—
554Dic43⋊C4—41no—
555Dic43⋊C4C22×C414yescomplemented
556Dic43⋊C4C22×C414yescomplemented
557Dic43⋊C4C22×C414yescomplemented
558Dic43⋊C4C22×C414yescomplemented
559C4×Dic43—22no—
560C4×Dic43—22no—
561C4×Dic43—41no—
562C4×Dic43—41no—
563C4×Dic43—41no—
564C4×Dic43—41no—
565C4×Dic43—41no—
566C4×Dic43—41no—
567C4×Dic43—41no—
568C4×Dic43—41no—
569C4×Dic43—41no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C4×Dic43—41no—
573C4×Dic43—41no—
574C4×Dic43—41no—
575C4×Dic43C22×C414yescomplemented
576C4×Dic43C22×C414yescomplemented
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—28no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—44no—
595C23×C43—44no—
596C23×C43—44no—
597C23×C43—44no—
598C23×C43—44no—
599C23×C43—44no—
600C23×C43C23×C412yes—
601C23×C43C23×C412yes—
602C23×C43C23×C412yes—
603C23×C43H(5,𝔽2)12yes—
604C23×C432−1+412yes—
605C23×C43C2511yescharacteristic
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×D43C23×C412yes—
619C22×D43C23×C412yes—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
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—44no—
651C2×C4×C43—44no—
652C2×C4×C43—44no—
653C2×C4×C43—44no—
654C2×C4×C43—44no—
655C2×C4×C43—44no—
656C2×C4×C43—44no—
657C2×C4×C43—44no—
658C2×C4×C43—82no—
659C2×C4×C43—82no—
660C2×C4×C43C23×C412yes—
661C2×C4×C43C23×C412yes—
662C2×C4×C43C23×C412yes—
663C2×C4×C43C23×C412yes—
664C2×C4×C43H(5,𝔽2)12yes—
665C2×C4×C43H(5,𝔽2)12yes—
666C22⋊D43—28no—
667C22⋊D43—28no—
668C22⋊D43—44no—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C2×Dic43—21no—
673C2×Dic43—21no—
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—21no—
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×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43C23×C412yes—
709C2×Dic43C23×C412yes—
710C2×Dic43C23×C412yes—
711C2×Dic43C23×C412yes—
712C2×Dic43C23×C412yes—
713C2×Dic43C23×C412yes—
714D172—44no—
715C4×D43—44no—
716C4×D43—44no—
717C4×D43—82no—
718C4×D43—82no—
719C4×D43—82no—
720C4×D43—82no—
721Dic86—44no—
722#34416—431nomaximal, Sylow
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—416no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43#52014yes—
745C22×C43C24×C411yescharacteristic
746C22×C43C2×H(5,𝔽2)11yescharacteristic
747C22×C43C2×H(5,𝔽2)11yescharacteristic
748C22×C43C2×H(5,𝔽2)11yescharacteristic
749C22×C43C2×2−1+411yescharacteristic
750C22×C43#58511yescharacteristic
751C22×C43#58511yescharacteristic
752C2×D43—22no—
753C2×D43—22no—
754C2×D43—22no—
755C2×D43—22no—
756C2×D43—22no—
757C2×D43—22no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C4×C43—22no—
767C4×C43—22no—
768C4×C43—22no—
769C4×C43—22no—
770C4×C43—22no—
771C4×C43—22no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778Dic43—22no—
779Dic43—22no—
780Dic43—22no—
781Dic43—22no—
782Dic43—22no—
783Dic43—22no—
784Dic43—41no—
785Dic43—41no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792C2×#538—431no—
793#2383—431no—
794#2379—431no—
795#2377—431no—
796#2376—431no—
797#2373—431no—
798#2368—431no—
799#2367—431no—
800#2364—431no—
801#2361—431no—
802#2361—431no—
803#2360—431no—
804#2359—431no—
805#2353—431no—
806#2352—431no—
807#2349—431no—
808D4×C4⋊C4—431no—
809#2337—431no—
810#2335—431no—
811#2334—431no—
812#2334—431no—
813#2326—431no—
814#2325—431no—
815#2324—431no—
816#2322—431no—
817#2321—431no—
818#2321—431no—
819#2312—431no—
820C4×#120—431no—
821C4×#120—431no—
822C2×#385D4311yescharacteristic, complemented
823C2×C43—24no—
824C2×C43—42no—
825C2×C43—42no—
826C2×C43C2×#52011yescharacteristic
827C2×C43C4×H(5,𝔽2)11yescharacteristic
828C2×C43C4×H(5,𝔽2)11yescharacteristic
829C2×C43#353211yescharacteristic
830C2×C43#353311yescharacteristic
831C2×C43#354111yescharacteristic
832C2×C43#354111yescharacteristic
833D43—42no—
834D43—42no—
835C24×C4C2×D4311yescharacteristic
836#538—4316no—
837C2×#126—431no—
838C2×#126—431no—
839C2×#124—431no—
840C2×#124—431no—
841C2×#123—431no—
842C2×#123—431no—
843C2×C22⋊Q8—431no—
844C2×#121—431no—
845C2×#121—431no—
846C2×#121—431no—
847C2×#120—431no—
848C2×#120—431no—
849C2×C4×Q8—431no—
850C2×C4×D4—431no—
851C2×C4×D4—431no—
852C2×C4×D4—431no—
853C2×C4×D4—431no—
854C2×C4×D4—431no—
855C2×C4×D4—431no—
856C2×C4×D4—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×#117—431no—
862C22×C4⋊C4—431no—
863C22×C4⋊C4C2×D4311yescharacteristic
864C22×C4⋊C4C2×D4311yescharacteristic
865C22×C22⋊C4C2×D4311yescharacteristic
866C22×C22⋊C4C2×D4311yescharacteristic
867#391—431no—
868#391—431no—
869#391—431no—
870#390—431no—
871#390—431no—
872#390—431no—
873#390—431no—
874#390—431no—
875#389—431no—
876#389—431no—
877#389—431no—
878#389—431no—
879#389—431no—
880#389—431no—
881#389—431no—
882#389—431no—
883#388—431no—
884#388—431no—
885#388—431no—
886#388—431no—
887#388—431no—
888#388—431no—
889#388—431no—
890#388—431no—
891#388—431no—
892#388—431no—
893#388—431no—
894#388—431no—
895#388—431no—
896#388—431no—
897#388—431no—
898#388—431no—
899#388—431no—
900#388—431no—
901#388—431no—
902#388—431no—
903#388—431no—
904#388—431no—
905#388—431no—
906#388—431no—
907#387—431no—
908#387—431no—
909#387—431no—
910#387—431no—
911#387—431no—
912#387—431no—
913#387—431no—
914#387—431no—
915#387—431no—
916#387—431no—
917#387—431no—
918#387—431no—
919#386—431no—
920#386—431no—
921#386—431no—
922#386—431no—
923#386—431no—
924#386—431no—
925#386—431no—
926#386—431no—
927#386—431no—
928#386—431no—
929#386—431no—
930#386—431no—
931#386—431no—
932#386—431no—
933#385—431no—
934#385—431no—
935#385—431no—
936#385—431no—
937#385—431no—
938#385—431no—
939#385—431no—
940#385—431no—
941#385—431no—
942#385—431no—
943#385—431no—
944#385—431no—
945#385—431no—
946#385—431no—
947#385C2×D4311yescharacteristic
948#385C2×D4311yescharacteristic
949#385C2×D4311yescharacteristic
950#385C2×D4311yescharacteristic
951#385C2×D4311yescharacteristic
952#385C2×D4311yescharacteristic
953#385C2×D4311yescharacteristic
954#385C2×D4311yescharacteristic
955#384—431no—
956#383—431no—
957#382—431no—
958#382—431no—
959#381—431no—
960#380—431no—
961#380—431no—
962#380—431no—
963#380—431no—
964#380—431no—
965#379—431no—
966#379—431no—
967C4×C4⋊C4—431no—
968C4×C4⋊C4—431no—
969C4×C4⋊C4—431no—
970C4×C4⋊C4—431no—
971C4×C4⋊C4—431no—
972C4×C4⋊C4—431no—
973C4×C4⋊C4—431no—
974C4×C22⋊C4—431no—
975C4×C22⋊C4—431no—
976C4×C22⋊C4—431no—
977C4×C22⋊C4—431no—
978C4×C22⋊C4—431no—
979C4×C22⋊C4—431no—
980C4×C22⋊C4—431no—
981C4×C22⋊C4—431no—
982C4×C22⋊C4—431no—
983C4×C22⋊C4—431no—
984C4×C22⋊C4—431no—
985C4×C22⋊C4—431no—
986C4×C22⋊C4—431no—
987#376—431no—
988C2×#95—431no—
989C2×#95C2×D4311yescharacteristic
990C2×#95C2×D4311yescharacteristic
991C43#3441611yescharacteristic, complemented, Sylow
992C25C22×D4311yescharacteristic
993C22×Q8—431no—
994C22×D4—431no—
995C22×D4—431no—
996C22×D4—431no—
997C22×D4—431no—
998C22×D4—431no—
999C22×D4—431no—
1000C22×D4—431no—
1001C23×C4—42no—
1002C23×C4—42no—
1003C23×C4—42no—
1004C23×C4—431no—
1005C23×C4—431no—
1006C23×C4—431no—
1007C23×C4—431no—
1008C23×C4—431no—
1009C23×C4—431no—
1010C23×C4C22×D4311yescharacteristic
1011C23×C4C22×D4311yescharacteristic
1012C23×C4C22×D4311yescharacteristic
1013C23×C4C22×D4311yescharacteristic
1014C23×C4C22×D4311yescharacteristic
1015C23×C4C22×D4311yescharacteristic
1016C23×C4C22×D4311yescharacteristic
1017C23×C4C22×D4311yescharacteristic
1018C23×C4C22×D4311yescharacteristic
1019C23×C4C22×D4311yescharacteristic
1020#126—438no—
1021#126—438no—
1022#124—438no—
1023#124—438no—
1024#123—438no—
1025#123—438no—
1026C22⋊Q8—438no—
1027#121—438no—
1028#121—438no—
1029#121—438no—
1030#120—438no—
1031#120—438no—
1032C4×Q8—1722no—
1033C4×D4—438no—
1034C4×D4—438no—
1035C4×D4—1722no—
1036C4×D4—1722no—
1037C4×D4—1722no—
1038C4×D4—1722no—
1039C4×D4—1722no—
1040C4×D4—1722no—
1041C4×D4—1722no—
1042C4×D4—1722no—
1043C4×D4—1722no—
1044#117—1722no—
1045C2×C4⋊C4—42no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4—431no—
1048C2×C4⋊C4—431no—
1049C2×C4⋊C4—431no—
1050C2×C4⋊C4—431no—
1051C2×C4⋊C4—431no—
1052C2×C4⋊C4—431no—
1053C2×C4⋊C4—431no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
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—1722no—
1070C2×C4⋊C4C22×D4311yescharacteristic
1071C2×C4⋊C4C22×D4311yescharacteristic
1072C2×C4⋊C4C22×D4311yescharacteristic
1073C2×C4⋊C4C22×D4311yescharacteristic
1074C2×C4⋊C4C22×D4311yescharacteristic
1075C2×C4⋊C4C22×D4311yescharacteristic
1076C2×C4⋊C4C22×D4311yescharacteristic
1077C2×C4⋊C4C22×D4311yescharacteristic
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
1086C2×C22⋊C4—431no—
1087C2×C22⋊C4—431no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
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⋊C4C4×D4318yescomplemented
1114C2×C22⋊C4C22×D4311yescharacteristic
1115C2×C22⋊C4C22×D4311yescharacteristic
1116C2×C22⋊C4C22×D4311yescharacteristic
1117C2×C22⋊C4C22×D4311yescharacteristic
1118C2×C22⋊C4C22×D4311yescharacteristic
1119C2×C22⋊C4C22×D4311yescharacteristic
1120C2×C22⋊C4C22×D4311yescharacteristic
1121C2×C22⋊C4C22×D4311yescharacteristic
1122C2×C42—431no—
1123C2×C42—431no—
1124C2×C42—431no—
1125C2×C42—431no—
1126C2×C42—431no—
1127C2×C42—431no—
1128C2×C42—431no—
1129C2×C42—431no—
1130C2×C42—431no—
1131C2×C42—431no—
1132C2×C42—431no—
1133C2×C42—431no—
1134C2×C42—431no—
1135C2×C42—431no—
1136C2×C42—431no—
1137C2×C42—431no—
1138C2×C42—431no—
1139C2×C42—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95—431no—
1153#95—431no—
1154#95—431no—
1155#95—431no—
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
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#95C22×D4311yescharacteristic
1173#95C22×D4311yescharacteristic
1174#95C22×D4311yescharacteristic
1175#95C22×D4311yescharacteristic
1176#95C22×D4311yescharacteristic
1177#95C22×D4311yescharacteristic
1178#95C22×D4311yescharacteristic
1179#95C22×D4311yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—431no—
1187C24—431no—
1188C24C2×C4×D4314yes—
1189C24C23×D4311yescharacteristic
1190C24C23×D4311yescharacteristic
1191C24C23×D4311yescharacteristic
1192C2×Q8—434no—
1193C2×Q8—1721no—
1194C2×Q8—1721no—
1195C2×D4—434no—
1196C2×D4—434no—
1197C2×D4—434no—
1198C2×D4—434no—
1199C2×D4—434no—
1200C2×D4—434no—
1201C2×D4—434no—
1202C2×D4—862no—
1203C2×D4—862no—
1204C2×D4—862no—
1205C2×D4—862no—
1206C2×D4—1721no—
1207C2×D4—1721no—
1208C2×D4—1721no—
1209C2×D4—1721no—
1210C2×D4—1721no—
1211C2×D4—1721no—
1212C2×D4—1721no—
1213C2×D4—1721no—
1214C2×D4—1721no—
1215C2×D4—1721no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—416no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—434no—
1252C22×C4—434no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—431no—
1256C22×C4—431no—
1257C22×C4—431no—
1258C22×C4—431no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—1721no—
1264C22×C4—1721no—
1265C22×C4—1721no—
1266C22×C4—1721no—
1267C22×C4—1721no—
1268C22×C4—1721no—
1269C22×C4—1721no—
1270C22×C4—1721no—
1271C22×C4—1721no—
1272C22×C4—1721no—
1273C22×C4—1721no—
1274C22×C4—1721no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4C2×C4×D4314yes—
1278C22×C4C2×C4×D4314yes—
1279C22×C4C23×D4311yescharacteristic
1280C22×C4C23×D4311yescharacteristic
1281C22×C4C23×D4311yescharacteristic
1282C22×C4C23×D4311yescharacteristic
1283C22×C4C23×D4311yescharacteristic
1284C22×C4C23×D4311yescharacteristic
1285C22×C4C23×D4311yescharacteristic
1286C22×C4C23×D4311yescharacteristic
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—434no—
1300C4⋊C4—434no—
1301C4⋊C4—434no—
1302C4⋊C4—434no—
1303C4⋊C4—434no—
1304C4⋊C4—434no—
1305C4⋊C4—862no—
1306C4⋊C4—862no—
1307C4⋊C4—1721no—
1308C4⋊C4—1721no—
1309C4⋊C4—1721no—
1310C4⋊C4—1721no—
1311C4⋊C4—1721no—
1312C4⋊C4—1721no—
1313C4⋊C4—1721no—
1314C4⋊C4—1721no—
1315C4⋊C4—1721no—
1316C4⋊C4—1721no—
1317C4⋊C4—1721no—
1318C4⋊C4—1721no—
1319C4⋊C4—1721no—
1320C4⋊C4—1721no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—434no—
1326C22⋊C4—434no—
1327C22⋊C4—434no—
1328C22⋊C4—434no—
1329C22⋊C4—434no—
1330C22⋊C4—434no—
1331C22⋊C4—434no—
1332C22⋊C4—434no—
1333C22⋊C4—434no—
1334C22⋊C4—434no—
1335C22⋊C4—862no—
1336C22⋊C4—862no—
1337C22⋊C4—862no—
1338C22⋊C4—862no—
1339C22⋊C4—862no—
1340C22⋊C4—862no—
1341C22⋊C4—1721no—
1342C22⋊C4—1721no—
1343C22⋊C4—1721no—
1344C22⋊C4—1721no—
1345C22⋊C4—1721no—
1346C22⋊C4—1721no—
1347C22⋊C4—1721no—
1348C22⋊C4—1721no—
1349C22⋊C4—1721no—
1350C22⋊C4—1721no—
1351C22⋊C4—1721no—
1352C22⋊C4—1721no—
1353C22⋊C4—1721no—
1354C22⋊C4—1721no—
1355C22⋊C4—1721no—
1356C22⋊C4—1721no—
1357C22⋊C4—1721no—
1358C22⋊C4—1721no—
1359C22⋊C4C2×C4×D4314yes—
1360C22⋊C4C2×C4×D4314yes—
1361C22⋊C4C2×C4×D4314yes—
1362C22⋊C4C2×C4×D4314yes—
1363C42—434no—
1364C42—434no—
1365C42—862no—
1366C42—862no—
1367C42—1721no—
1368C42—1721no—
1369C42—1721no—
1370C42—1721no—
1371C42—1721no—
1372C42—1721no—
1373C42—1721no—
1374C42—1721no—
1375C42—1721no—
1376C42—1721no—
1377C42—1721no—
1378C42—1721no—
1379C42—1721no—
1380C42—1721no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—28no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—432no—
1405C23—432no—
1406C23—861no—
1407C23—861no—
1408C23—861no—
1409C23—861no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23C22×C4×D4312yes—
1419C23C22×C4×D4312yes—
1420C23C22×C4×D4312yes—
1421C23#1306337012yes—
1422C23#1306337312yes—
1423C23C24×D4311yescharacteristic
1424Q8—1724no—
1425D4—868no—
1426D4—868no—
1427D4—1724no—
1428D4—1724no—
1429D4—1724no—
1430D4—1724no—
1431D4—1724no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
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—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—432no—
1473C2×C4—432no—
1474C2×C4—432no—
1475C2×C4—432no—
1476C2×C4—432no—
1477C2×C4—432no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
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—3442no—
1515C2×C4—3442no—
1516C2×C4—3442no—
1517C2×C4—3442no—
1518C2×C4—1724no—
1519C2×C4—1724no—
1520C2×C4C22×C4×D4312yes—
1521C2×C4C22×C4×D4312yes—
1522C2×C4C22×C4×D4312yes—
1523C2×C4C22×C4×D4312yes—
1524C2×C4#1306337012yes—
1525C2×C4#1306337012yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—862no—
1548C22—862no—
1549C22—862no—
1550C22—862no—
1551C22—862no—
1552C22—862no—
1553C22—1721no—
1554C22—1721no—
1555C22—1721no—
1556C22—1721no—
1557C22—1721no—
1558C22—1721no—
1559C22—1721no—
1560C22—1721no—
1561C22#1458338014yes—
1562C22C23×C4×D4311yescharacteristic
1563C22C2×#1306337011yescharacteristic
1564C22C2×#1306337011yescharacteristic
1565C22C2×#1306337011yescharacteristic
1566C22C2×#1306337311yescharacteristic
1567C22#1458373511yescharacteristic
1568C22#1458373511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—862no—
1582C4—862no—
1583C4—862no—
1584C4—862no—
1585C4—862no—
1586C4—862no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C4—1721no—
1593C4—1721no—
1594C4—1721no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—1722no—
1599C2—1722no—
1600C2C2×#1458338011yescharacteristic
1601C2C4×#1306337011yescharacteristic
1602C2C4×#1306337011yescharacteristic
1603C2#1914875011yescharacteristic
1604C2#1914876611yescharacteristic
1605C2#1914889211yescharacteristic
1606C2#1914889211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC2×C43×#385C2
socle, cosocleC23×C43C25
prime radicalC2×#14583487C2
hypercenterC2×#385D43
hypocenterC43#34416
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #19137783C2semidirect
3. #19137768C2semidirect
4. #19137751C2semidirect
5. #19137744C2semidirect
6. #19137710C2semidirect
7. #19137675C2semidirect
8. #19137663C2semidirect
9. #19137642C2semidirect
10. #19137614C2semidirect
11. #19137611C2semidirect
12. #19137600C2semidirect
13. #19137590C2semidirect
14. #19137531C2semidirect
15. #19137520C2semidirect
16. #19137502C2semidirect
17. C4⋊C4×C22⋊D43C2semidirect
18. #19137409C2semidirect
19. #19137380C2semidirect
20. #19137371C2semidirect
21. #19137365C2semidirect
22. #19137301C2semidirect
23. #19137292C2semidirect
24. #19137287C2semidirect
25. #19137262C2semidirect
26. #19137253C2semidirect
27. #19137253C2semidirect
28. #19137193C2semidirect
29. C4×#13063294C2semidirect
30. C4×#13063294C2semidirect
31. C2×C43×#385C2semidirect
32. #14583487C4semidirect
45. C2×#13063290C22semidirect
46. C2×#13063287C22semidirect
57. C2×#13063283C22semidirect
58. C2×C4⋊C4×D43C22semidirect
59. #14582804C22semidirect
60. #14582803C22semidirect
61. #14582803C22semidirect
62. #14582800C22semidirect
67. #14582796C22semidirect
68. #14582796C22semidirect
69. #14582795C22semidirect
70. #14582795C22semidirect
71. #14582794C22semidirect
72. #14582794C22semidirect
73. #14582794C22semidirect
74. #14582794C22semidirect
87. #14582791C22semidirect
88. #14582791C22semidirect
89. #14582789C22semidirect
90. #14582789C22semidirect
91. #14582789C22semidirect
92. #14582789C22semidirect
93. #14582788C22semidirect
94. #14582788C22semidirect
99. #14582786C22semidirect
100. #14582786C22semidirect
101. #14582784C22semidirect
102. #14582784C22semidirect
103. #14582782C22semidirect
104. #14582782C22semidirect
105. #14582781C22semidirect
106. #14582781C22semidirect
107. #14582780C22semidirect
108. #14582780C22semidirect
109. #14582780C22semidirect
110. #14582780C22semidirect
119. #14582777C22semidirect
120. #14582777C22semidirect
125. #14582773C22semidirect
126. #14582773C22semidirect
135. #14582770C22semidirect
136. #14582770C22semidirect
137. #14582770C22semidirect
138. #14582770C22semidirect
139. #14582768C22semidirect
140. #14582766C22semidirect
141. #14582764C22semidirect
142. #14582763C22semidirect
143. #14582761C22semidirect
146. #14582758C22semidirect
147. #14582756C22semidirect
148. #14582756C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4⋊C4×Dic43C22semidirect
155. #14582750C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582744C22semidirect
172. #95×D43C22semidirect
202. #13063318C2×C4semidirect
203. #13063318C2×C4semidirect
204. #13063311C2×C4semidirect
205. #13063311C2×C4semidirect
206. #13063307C2×C4semidirect
207. #13063307C2×C4semidirect
208. #13063304C2×C4semidirect
209. #13063299C2×C4semidirect
210. #13063298C2×C4semidirect
211. #13063298C2×C4semidirect
212. #13063294C2×C4semidirect
213. #13063294C2×C4semidirect
224. C4×C22⋊D43C2×C4semidirect
225. C4×C22⋊D43C2×C4semidirect
359. C2×C22⋊C4×C43C2×C4semidirect
465. C2×D172C22×C4semidirect
482. C2×C4×D43C22×C4semidirect
483. C2×C4×D43C22×C4semidirect
486. C2×Dic86C22×C4semidirect
533. (C2×D43)⋊C4C22×C4semidirect
534. (C2×D43)⋊C4C22×C4semidirect
535. (C2×D43)⋊C4C22×C4semidirect
536. (C2×D43)⋊C4C22×C4semidirect
541. C4⋊Dic43C22×C4semidirect
542. C4⋊Dic43C22×C4semidirect
555. Dic43⋊C4C22×C4semidirect
556. Dic43⋊C4C22×C4semidirect
557. Dic43⋊C4C22×C4semidirect
558. Dic43⋊C4C22×C4semidirect
575. C4×Dic43C22×C4semidirect
576. C4×Dic43C22×C4semidirect
822. C2×#385D43semidirect
991. C43#34416semidirect
1113. C2×C22⋊C4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834872
#191377832
#191377682
#191377512
#191377442
#191377102
#191376752
#191376632
#191376422
#191376142
#191376112
#191376002
#191375902
#191375312
#191375202
#191375022
C4⋊C4×C22⋊D432
#191374092
#191373802
#191373712
#191373652
#191373012
#191372922
#191372872
#191372622
#191372532
#191371932
C4×#130632942
C2×C43×#3852
#3441643