Finite Group Databasebeta

← #25305039

Subgroups — #25305039

Order 11008.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142908C211yesmaximal, characteristic, complemented
2#19142898C211yesmaximal, characteristic, complemented
3#19142256C211yesmaximal, characteristic, complemented
4#19142254C211yesmaximal, characteristic, complemented
5#19142212C211yesmaximal, characteristic, complemented
6#19142035C211yesmaximal, characteristic, complemented
7#19142015C211yesmaximal, characteristic, complemented
8#19141985C211yesmaximal, characteristic, complemented
9#19141921C211yesmaximal, characteristic, complemented
10#19141825C211yesmaximal, characteristic, complemented
11#19141739C211yesmaximal, characteristic, complemented
12#19141717C211yesmaximal, characteristic, complemented
13#19141635C211yesmaximal, characteristic, complemented
14#19141634C211yesmaximal, characteristic, complemented
15#19141590C211yesmaximal, characteristic, complemented
16#19141230C211yesmaximal, characteristic, complemented
17#19140984C211yesmaximal, characteristic, complemented
18#19140978C211yesmaximal, characteristic, complemented
19#19140378C211yesmaximal, characteristic, complemented
20#19140341C211yesmaximal, characteristic, complemented
21#19139149C211yesmaximal, characteristic, complemented
22#19138347C211yesmaximal, characteristic, complemented
23#19138258C211yesmaximal, characteristic, complemented
24#19138146C211yesmaximal, characteristic, complemented
25#19137993C211yesmaximal, characteristic, complemented
26#19137968C211yesmaximal, characteristic
27#19137919C211yesmaximal, characteristic, complemented
28#19137255C211yesmaximal, characteristic, complemented
29#19137169C211yesmaximal, characteristic, complemented
30C2×#14582791C211yesmaximal, characteristic, complemented
31C43×#2488C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C2×#13063318C2211yescharacteristic, complemented
34C2×#13063314C2211yescharacteristic, complemented
35C2×#13063308C2211yescharacteristic
36C2×#13063308C2211yescharacteristic, complemented
37C2×#13063301C2211yescharacteristic, complemented
38C2×#13063299C2211yescharacteristic
39C2×#13063297C2211yescharacteristic
40C2×#13063295C2211yescharacteristic
41C2×#13063295C2211yescharacteristic
42C2×C4×C22⋊D43C2211yescharacteristic, complemented
43C22×C4⋊Dic43C2211yescharacteristic, complemented
44C22×(C2×D43)⋊C4C2211yescharacteristic
45C22×(C2×D43)⋊C4C2211yescharacteristic
46C22×(C2×D43)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D43C2211yescharacteristic
48C22×C4×Dic43C2211yescharacteristic, complemented
49C43⋊#401C2211yescharacteristic, complemented
50#14582840C2211yescharacteristic, complemented
51#14582840C2211yescharacteristic, complemented
52#14582839C2211yescharacteristic, complemented
53#14582839C2211yescharacteristic, complemented
54#14582836C2211yescharacteristic, complemented
55#14582836C2211yescharacteristic, complemented
56#14582834C2211yescharacteristic
57#14582833C2211yescharacteristic, complemented
58#14582832C2211yescharacteristic, complemented
59#14582832C2211yescharacteristic, complemented
60#14582831C2211yescharacteristic, complemented
61#14582831C2211yescharacteristic, complemented
62#14582828C2211yescharacteristic
63#14582828C2211yescharacteristic
64#14582828C2211yescharacteristic, complemented
65#14582828C2211yescharacteristic, complemented
66#14582828C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582826C2211yescharacteristic, complemented
69#14582826C2211yescharacteristic, complemented
70#14582826C2211yescharacteristic, complemented
71#14582823C2211yescharacteristic, complemented
72#14582822C2211yescharacteristic, complemented
73#14582822C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic
75#14582821C2211yescharacteristic
76#14582821C2211yescharacteristic, complemented
77#14582821C2211yescharacteristic, complemented
78#14582817C2211yescharacteristic
79#14582817C2211yescharacteristic
80#14582817C2211yescharacteristic
81#14582817C2211yescharacteristic, complemented
82#14582816C2211yescharacteristic
83#14582816C2211yescharacteristic
84#14582815C2211yescharacteristic
85#14582815C2211yescharacteristic, complemented
86#14582815C2211yescharacteristic, complemented
87#14582815C2211yescharacteristic, complemented
88#14582814C2211yescharacteristic
89#14582814C2211yescharacteristic
90#14582810C2211yescharacteristic
91#14582809C2211yescharacteristic
92#14582808C2211yescharacteristic
93#14582806C2211yescharacteristic, complemented
94#14582801C2211yescharacteristic
95#14582801C2211yescharacteristic, complemented
96#14582800C2211yescharacteristic, complemented
97#14582796C2211yescharacteristic, complemented
98#14582793C2211yescharacteristic, complemented
99#14582792C2211yescharacteristic, complemented
100#14582792C2211yescharacteristic, complemented
101#14582791C2211yescharacteristic
102#14582791C2211yescharacteristic
103#14582791C2211yescharacteristic
104#14582791C2211yescharacteristic
105#14582791C2211yescharacteristic
106#14582791C2211yescharacteristic, complemented
107#14582791C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic, complemented
109#14582791C2211yescharacteristic, complemented
110#14582791C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic
112#14582790C2211yescharacteristic, complemented
113#14582790C2211yescharacteristic, complemented
114#14582790C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582789C2211yescharacteristic, complemented
117#14582789C2211yescharacteristic, complemented
118#14582789C2211yescharacteristic, complemented
119#14582788C2211yescharacteristic, complemented
120#14582787C2211yescharacteristic, complemented
121#14582786C2211yescharacteristic, complemented
122#14582784C2211yescharacteristic, complemented
123#14582783C2211yescharacteristic, complemented
124#14582782C2211yescharacteristic, complemented
125#14582781C2211yescharacteristic, complemented
126#14582779C2211yescharacteristic
127#14582779C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582777C2211yescharacteristic, complemented
137#14582776C2211yescharacteristic
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic, complemented
141#14582776C2211yescharacteristic, complemented
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic, complemented
145#14582774C2211yescharacteristic, complemented
146#14582774C2211yescharacteristic, complemented
147#14582773C2211yescharacteristic
148#14582772C2211yescharacteristic, complemented
149#14582771C2211yescharacteristic, complemented
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic, complemented
153#14582770C2211yescharacteristic, complemented
154#14582767C2211yescharacteristic, complemented
155#14582766C2211yescharacteristic, complemented
156#14582764C2211yescharacteristic, complemented
157#14582761C2211yescharacteristic
158#14582761C2211yescharacteristic
159#14582761C2211yescharacteristic, complemented
160#14582758C2211yescharacteristic, complemented
161#14582758C2211yescharacteristic, complemented
162#14582758C2211yescharacteristic, complemented
163#14582757C2211yescharacteristic, complemented
164#14582756C2211yescharacteristic, complemented
165#14582754C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic, complemented
172C2×#123×C43C2211yescharacteristic
173C2×C22⋊Q8×C43C2211yescharacteristic, complemented
174C43×#400C2211yescharacteristic, complemented
175C43×#400C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic, complemented
177C43×#393C2211yescharacteristic, complemented
178C43×#391C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#386C2211yescharacteristic
182C43×#386C2211yescharacteristic
183C43×#382C2211yescharacteristic, complemented
184C43×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C2×#95×C43C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C2×D4×D43—24no—
198C2×D4×D43—42no—
199C2×D4×D43—42no—
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063318—42no—
208#13063314—42no—
209#13063308—42no—
210#13063308—42no—
211#13063301—42no—
212#13063299—42no—
213#13063297—42no—
214#13063295—24no—
215#13063295—42no—
216C4×C22⋊D43—42no—
217C2×C4⋊Dic43—42no—
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×(C2×D43)⋊C4—24no—
247C2×(C2×D43)⋊C4—42no—
248C2×(C2×D43)⋊C4—42no—
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C22⋊C4×D43—42no—
290C2×C4×Dic43—42no—
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
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
326C22×Q8×C43C2311yescharacteristic
327C22×D4×C43C2311yescharacteristic
328C23×C4×C43C2311yescharacteristic
329C23×C4×C43C2311yescharacteristic
330C23×C4×C43C2311yescharacteristic
331#123×C43—42no—
332C22⋊Q8×C43—42no—
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C42×C43C2311yescharacteristic
348C2×C42×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C23×D43—22no—
366C23×D43—22no—
367C23×D43—22no—
368C23×D43—41no—
369C23×D43—41no—
370C23×D43—41no—
371C23×D43—41no—
372C23×D43—41no—
373C23×D43—41no—
374C23×D43—41no—
375C23×D43—41no—
376C23×D43—41no—
377C23×D43—41no—
378C23×D43#4114yes—
379C23×D43C2411yescharacteristic
380C23×D43C2411yescharacteristic
381C23×D43C2411yescharacteristic
382C23×D43C2411yescharacteristic
383C2×Q8×C43—22no—
384C2×Q8×C43—41no—
385C2×Q8×C43—41no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×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—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
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
411C2×C22⋊D43—22no—
412C2×C22⋊D43—22no—
413C2×C22⋊D43—22no—
414C2×C22⋊D43—22no—
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C22×Dic43—22no—
424C22×Dic43—22no—
425C22×Dic43—22no—
426C22×Dic43—41no—
427C22×Dic43—41no—
428C22×Dic43—41no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444D4×D43—416no—
445C2×D172—22no—
446C2×D172—22no—
447C2×D172—22no—
448C2×D172—22no—
449C2×D172—41no—
450C2×D172—41no—
451C2×D172—41no—
452C2×D172—41no—
453C2×D172—41no—
454C2×D172—41no—
455C2×D172—41no—
456C2×D172—41no—
457C2×C4×D43—22no—
458C2×C4×D43—41no—
459C2×C4×D43—41no—
460C2×C4×D43—41no—
461C2×C4×D43—41no—
462C2×C4×D43—41no—
463C2×C4×D43—41no—
464C2×C4×D43—41no—
465C2×C4×D43—41no—
466C2×C4×D43—41no—
467C2×C4×D43—41no—
468C2×C4×D43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—41no—
479C22⋊C4×C43—41no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C42×C43—41no—
484C42×C43—41no—
485C22⋊Dic43—22no—
486C22⋊Dic43—22no—
487C22⋊Dic43—41no—
488C22⋊Dic43—41no—
489C22⋊Dic43—41no—
490C22⋊Dic43—41no—
491C22⋊Dic43—41no—
492(C2×D43)⋊C4—22no—
493(C2×D43)⋊C4—22no—
494(C2×D43)⋊C4—22no—
495(C2×D43)⋊C4—22no—
496(C2×D43)⋊C4—22no—
497(C2×D43)⋊C4—22no—
498(C2×D43)⋊C4—22no—
499(C2×D43)⋊C4—22no—
500(C2×D43)⋊C4—41no—
501(C2×D43)⋊C4—41no—
502(C2×D43)⋊C4—41no—
503(C2×D43)⋊C4—41no—
504(C2×D43)⋊C4—41no—
505(C2×D43)⋊C4—41no—
506(C2×D43)⋊C4—41no—
507(C2×D43)⋊C4—41no—
508(C2×D43)⋊C4—41no—
509(C2×D43)⋊C4—41no—
510(C2×D43)⋊C4—41no—
511(C2×D43)⋊C4—41no—
512(C2×D43)⋊C4—41no—
513(C2×D43)⋊C4—41no—
514(C2×D43)⋊C4—41no—
515(C2×D43)⋊C4—41no—
516(C2×D43)⋊C4—41no—
517(C2×D43)⋊C4—41no—
518(C2×D43)⋊C4—41no—
519(C2×D43)⋊C4—41no—
520(C2×D43)⋊C4—41no—
521(C2×D43)⋊C4—41no—
522(C2×D43)⋊C4—41no—
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—
532C4⋊Dic43—41no—
533C4⋊Dic43—41no—
534C4⋊Dic43—41no—
535C4⋊Dic43—41no—
536C4⋊Dic43—41no—
537C4⋊Dic43—41no—
538C4⋊Dic43—41no—
539C4⋊Dic43—41no—
540C4⋊Dic43—41no—
541Dic43⋊C4—22no—
542Dic43⋊C4—41no—
543Dic43⋊C4—41no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551Dic43⋊C4—41no—
552Dic43⋊C4—41no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—41no—
556C4×Dic43—41no—
557C4×Dic43—41no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43C2×#4112yes—
570C23×C43H(5,𝔽2)12yes—
571C23×C43H(5,𝔽2)12yes—
572C23×C43C2511yescharacteristic
573C22×D43—21no—
574C22×D43—21no—
575C22×D43—21no—
576C22×D43—21no—
577C22×D43—21no—
578C22×D43—21no—
579C22×D43—21no—
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—28no—
586C22×D43—21no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—21no—
593C22×D43—21no—
594C22×D43—21no—
595C22×D43—21no—
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—21no—
599C22×D43—21no—
600C22×D43—44no—
601C22×D43—44no—
602C22×D43—44no—
603C22×D43—82no—
604C22×D43—82no—
605C22×D43—82no—
606C22×D43—82no—
607C22×D43—82no—
608C22×D43—82no—
609C22×D43—82no—
610C22×D43—82no—
611C22×D43—82no—
612C22×D43—82no—
613C22×D43C2×#4112yes—
614C22×D43C2×#4112yes—
615Q8×C43—82no—
616D4×C43—44no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
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—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—44no—
656C2×C4×C43—44no—
657C2×C4×C43—82no—
658C2×C4×C43H(5,𝔽2)12yes—
659C22⋊D43—44no—
660C22⋊D43—44no—
661C22⋊D43—44no—
662C22⋊D43—82no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
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—44no—
700C2×Dic43—44no—
701C2×Dic43—82no—
702D172—44no—
703D172—82no—
704D172—82no—
705D172—82no—
706C4×D43—44no—
707C4×D43—82no—
708C4×D43—82no—
709C4×D43—82no—
710#36779—431nomaximal, Sylow
711C22×C43—22no—
712C22×C43—22no—
713C22×C43—22no—
714C22×C43—22no—
715C22×C43—22no—
716C22×C43—22no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43#53814yes—
725C22×C43C22×#4111yescharacteristic
726C22×C43C2×H(5,𝔽2)11yescharacteristic
727C22×C43C2×H(5,𝔽2)11yescharacteristic
728C22×C43C2×H(5,𝔽2)11yescharacteristic
729C22×C43#58511yescharacteristic
730C22×C43#58511yescharacteristic
731C22×C43#58511yescharacteristic
732C2×D43—22no—
733C2×D43—22no—
734C2×D43—22no—
735C2×D43—22no—
736C2×D43—22no—
737C2×D43—22no—
738C2×D43—41no—
739C2×D43—41no—
740C2×D43—41no—
741C2×D43—41no—
742C2×D43—41no—
743C2×D43—41no—
744C2×D43—41no—
745C2×D43—41no—
746C2×D43—41no—
747C2×D43—41no—
748C2×D43—41no—
749C2×D43—41no—
750C2×D43—41no—
751C2×D43—41no—
752C2×D43—41no—
753C2×D43—41no—
754C2×D43—41no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—88no—
761C2×D43—88no—
762C4×C43—22no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785Dic43—41no—
786Dic43—41no—
787#2852—431no—
788#2850—431no—
789#2781—431no—
790#2781—431no—
791#2778—431no—
792#2765—431no—
793#2764—431no—
794#2761—431no—
795#2756—431no—
796#2749—431no—
797#2743—431no—
798#2741—431no—
799#2735—431no—
800#2735—431no—
801#2730—431no—
802#2702—431no—
803#2685—431no—
804#2684—431no—
805#2623—431no—
806#2618—431no—
807#2510—431no—
808#2488D4311yescharacteristic, complemented
809#2444—431no—
810#2437—431no—
811#2425—431no—
812#2412—431no—
813#2410—431no—
814#2405—431no—
815#2321—431no—
816#2308—431no—
817C2×#388—431no—
818C2×C43—24no—
819C2×C43—81no—
820C2×C43C2×#53811yescharacteristic
821C2×C43#349111yescharacteristic
822C2×C43#350511yescharacteristic
823C2×C43#353411yescharacteristic
824C2×C43#354211yescharacteristic
825C2×C43#354511yescharacteristic
826C2×C43#356011yescharacteristic
827D43—42no—
828D43—42no—
829D43—81no—
830D43—81no—
831C23×D4—431no—
832C2×#126—431no—
833C2×#124—431no—
834C2×#123—431no—
835C2×#123—431no—
836C2×#123C2×D4311yescharacteristic
837C2×C22⋊Q8—431no—
838C2×C22⋊Q8C2×D4311yescharacteristic, complemented
839C2×#121—431no—
840C2×#121—431no—
841C2×#120—431no—
842C2×#120—431no—
843C2×C4×D4—431no—
844C22×C4⋊C4—431no—
845C22×C22⋊C4—431no—
846C22×C22⋊C4—431no—
847C22×C22⋊C4—431no—
848C22×C22⋊C4—431no—
849C22×C42—431no—
850#401—431no—
851#400—431no—
852#400—431no—
853#400—431no—
854#400—431no—
855#400C2×D4311yescharacteristic, complemented
856#400C2×D4311yescharacteristic, complemented
857#399—431no—
858#399—431no—
859#399—431no—
860#398—431no—
861#398—431no—
862#398—431no—
863#398—431no—
864#398—431no—
865#397—431no—
866#397—431no—
867#397—431no—
868#397—431no—
869#397—431no—
870#397—431no—
871#397—431no—
872#397—431no—
873#397—431no—
874#397C2×D4311yescharacteristic, complemented
875#396—431no—
876#396—431no—
877#396—431no—
878#396—431no—
879#396—431no—
880#396—431no—
881#396—431no—
882#394—431no—
883#394—431no—
884#394—431no—
885#394—431no—
886#394—431no—
887#394—431no—
888#394—431no—
889#394—431no—
890#394—431no—
891#394—431no—
892#394—431no—
893#394—431no—
894#393—431no—
895#393C2×D4311yescharacteristic, complemented
896#392—431no—
897#392—431no—
898#391—431no—
899#391C2×D4311yescharacteristic, complemented
900#390—431no—
901#390—431no—
902#390—431no—
903#389—431no—
904#388—431no—
905#388—431no—
906#388—431no—
907#388—431no—
908#388—431no—
909#388—431no—
910#388—431no—
911#388—431no—
912#388—431no—
913#388—431no—
914#388—431no—
915#388—431no—
916#388—431no—
917#388—431no—
918#388—431no—
919#388—431no—
920#388—431no—
921#388—431no—
922#388—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388C2×D4311yescharacteristic, complemented
928#388C2×D4311yescharacteristic, complemented
929#387—431no—
930#387—431no—
931#387—431no—
932#387—431no—
933#387—431no—
934#386—431no—
935#386—431no—
936#386—431no—
937#386—431no—
938#386—431no—
939#386—431no—
940#386—431no—
941#386—431no—
942#386—431no—
943#386—431no—
944#386—431no—
945#386—431no—
946#386—431no—
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386C2×D4311yescharacteristic
954#386C2×D4311yescharacteristic
955#385—431no—
956#385—431no—
957#385—431no—
958#385—431no—
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#383—431no—
965#383—431no—
966#382—431no—
967#382C2×D4311yescharacteristic, complemented
968#381—431no—
969#381—431no—
970#381—431no—
971#381C2×D4311yescharacteristic, complemented
972#380—431no—
973#380—431no—
974#380—431no—
975#380—431no—
976#380—431no—
977#379—431no—
978#379—431no—
979#379—431no—
980#379—431no—
981#379—431no—
982#379—431no—
983C4×C22⋊C4C2×D4311yescharacteristic, complemented
984C2×#95—431no—
985C2×#95C2×D4311yescharacteristic, complemented
986C43#3677911yescharacteristic, complemented, Sylow
987C25—431no—
988C25—431no—
989C22×Q8C22×D4311yescharacteristic
990C22×D4—431no—
991C22×D4—431no—
992C22×D4—431no—
993C22×D4—431no—
994C22×D4—431no—
995C22×D4—431no—
996C22×D4—431no—
997C22×D4—431no—
998C22×D4—864no—
999C22×D4—1722no—
1000C22×D4—1722no—
1001C22×D4C22×D4311yescharacteristic
1002C23×C4—431no—
1003C23×C4—431no—
1004C23×C4—431no—
1005C23×C4—431no—
1006C23×C4—431no—
1007C23×C4—431no—
1008C23×C4—431no—
1009C23×C4C22×D4311yescharacteristic
1010C23×C4C22×D4311yescharacteristic
1011C23×C4C22×D4311yescharacteristic
1012#126—1722no—
1013#124—1722no—
1014#123—42no—
1015#123—1722no—
1016#123—1722no—
1017C22⋊Q8—42no—
1018C22⋊Q8—1722no—
1019#121—1722no—
1020#121—1722no—
1021#120—864no—
1022#120—1722no—
1023C4×D4—1722no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—431no—
1033C2×C4⋊C4—431no—
1034C2×C4⋊C4—431no—
1035C2×C4⋊C4—431no—
1036C2×C4⋊C4—431no—
1037C2×C4⋊C4—431no—
1038C2×C4⋊C4—431no—
1039C2×C4⋊C4—431no—
1040C2×C4⋊C4—431no—
1041C2×C4⋊C4—431no—
1042C2×C4⋊C4—431no—
1043C2×C4⋊C4—431no—
1044C2×C4⋊C4—431no—
1045C2×C4⋊C4—1722no—
1046C2×C4⋊C4C22×D4311yescharacteristic
1047C2×C4⋊C4C22×D4311yescharacteristic
1048C2×C4⋊C4C22×D4311yescharacteristic
1049C2×C4⋊C4C22×D4311yescharacteristic
1050C2×C4⋊C4C22×D4311yescharacteristic
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
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—864no—
1099C2×C22⋊C4—1722no—
1100C2×C22⋊C4—1722no—
1101C2×C22⋊C4—1722no—
1102C2×C22⋊C4C22×D4311yescharacteristic
1103C2×C22⋊C4C22×D4311yescharacteristic
1104C2×C22⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4C22×D4311yescharacteristic
1106C2×C22⋊C4C22×D4311yescharacteristic
1107C2×C22⋊C4C22×D4311yescharacteristic
1108C2×C22⋊C4C22×D4311yescharacteristic
1109C2×C22⋊C4C22×D4311yescharacteristic
1110C2×C22⋊C4C22×D4311yescharacteristic
1111C2×C42—431no—
1112C2×C42—431no—
1113C2×C42—431no—
1114C2×C42—431no—
1115C2×C42—431no—
1116C2×C42—1722no—
1117C2×C42C22×D4311yescharacteristic
1118C2×C42C22×D4311yescharacteristic
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—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#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156#95C22×D4311yescharacteristic
1157#95C22×D4311yescharacteristic
1158#95C22×D4311yescharacteristic
1159#95C22×D4311yescharacteristic
1160#95C22×D4311yescharacteristic
1161#95C22×D4311yescharacteristic
1162#95C22×D4311yescharacteristic
1163C24—431no—
1164C24—431no—
1165C24—434no—
1166C24—431no—
1167C24—431no—
1168C24—862no—
1169C24—862no—
1170C24—862no—
1171C24—1721no—
1172C24—1721no—
1173C24—1721no—
1174C24—1721no—
1175C24—1721no—
1176C24—1721no—
1177C24—1721no—
1178C24—1721no—
1179C24—1721no—
1180C24—1721no—
1181C24C23×D4311yescharacteristic
1182C24C23×D4311yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—862no—
1190C2×D4—862no—
1191C2×D4—862no—
1192C2×D4—862no—
1193C2×D4—862no—
1194C2×D4—862no—
1195C2×D4—862no—
1196C2×D4—862no—
1197C2×D4—862no—
1198C2×D4—862no—
1199C2×D4—862no—
1200C2×D4—1721no—
1201C2×D4—1721no—
1202C2×D4—1721no—
1203C2×D4—1721no—
1204C2×D4—1721no—
1205C2×D4—1721no—
1206C2×D4—1721no—
1207C2×D4—1721no—
1208C2×D4—1721no—
1209C2×D4—1721no—
1210C2×D4—1721no—
1211C2×D4—1721no—
1212C2×D4—1721no—
1213C2×D4—17216no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—431no—
1224C22×C4—431no—
1225C22×C4—431no—
1226C22×C4—431no—
1227C22×C4—431no—
1228C22×C4—431no—
1229C22×C4—431no—
1230C22×C4—431no—
1231C22×C4—431no—
1232C22×C4—431no—
1233C22×C4—431no—
1234C22×C4—431no—
1235C22×C4—862no—
1236C22×C4—862no—
1237C22×C4—862no—
1238C22×C4—862no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—1721no—
1242C22×C4—1721no—
1243C22×C4—1721no—
1244C22×C4—1721no—
1245C22×C4—1721no—
1246C22×C4—1721no—
1247C22×C4—1721no—
1248C22×C4—1721no—
1249C22×C4—1721no—
1250C22×C4—1721no—
1251C22×C4—1721no—
1252C22×C4—1721no—
1253C22×C4—1721no—
1254C22×C4—1721no—
1255C22×C4—1721no—
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C22×C4C23×D4311yescharacteristic
1259C22×C4C23×D4311yescharacteristic
1260C22×C4C23×D4311yescharacteristic
1261C22×C4C23×D4311yescharacteristic
1262C22×C4C23×D4311yescharacteristic
1263C22×C4C23×D4311yescharacteristic
1264C22×C4C23×D4311yescharacteristic
1265C22×C4C23×D4311yescharacteristic
1266C22×C4C23×D4311yescharacteristic
1267C22×C4C23×D4311yescharacteristic
1268C22×C4C23×D4311yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—862no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C4⋊C4—1721no—
1284C4⋊C4—1721no—
1285C4⋊C4—1721no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C4⋊C4—1721no—
1291C4⋊C4—1721no—
1292C4⋊C4—1721no—
1293C4⋊C4—1721no—
1294C4⋊C4—1721no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—862no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—862no—
1308C22⋊C4—862no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—1721no—
1315C22⋊C4—1721no—
1316C22⋊C4—1721no—
1317C22⋊C4—1721no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C22⋊C4—1721no—
1323C22⋊C4—1721no—
1324C22⋊C4—1721no—
1325C22⋊C4—1721no—
1326C22⋊C4—1721no—
1327C22⋊C4—1721no—
1328C22⋊C4—1721no—
1329C22⋊C4—1721no—
1330C22⋊C4—1721no—
1331C22⋊C4—1721no—
1332C22⋊C4—1721no—
1333C22⋊C4—1721no—
1334C22⋊C4—1721no—
1335C22⋊C4—1721no—
1336C22⋊C4—1721no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C22⋊C4—1721no—
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—
1351C42—41no—
1352C42—41no—
1353C42—862no—
1354C42—862no—
1355C42—1721no—
1356C42—1721no—
1357C42—1721no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—432no—
1370C23—432no—
1371C23—868no—
1372C23—861no—
1373C23—861no—
1374C23—861no—
1375C23—861no—
1376C23—861no—
1377C23—861no—
1378C23—861no—
1379C23—861no—
1380C23—861no—
1381C23—861no—
1382C23—861no—
1383C23—861no—
1384C23—861no—
1385C23—861no—
1386C23—861no—
1387C23—861no—
1388C23—861no—
1389C23—861no—
1390C23—861no—
1391C23—861no—
1392C23—861no—
1393C23—861no—
1394C23—861no—
1395C23—861no—
1396C23—861no—
1397C23—861no—
1398C23—3442no—
1399C23—3442no—
1400C23—3442no—
1401C23—3442no—
1402C23—3442no—
1403C23—3442no—
1404C23—3442no—
1405C23—3442no—
1406C23—3442no—
1407C23—3442no—
1408C23—1724no—
1409C23—1724no—
1410C23—1724no—
1411C23#41×D4312yes—
1412C23#1306337012yes—
1413C23#1306337112yes—
1414C23C24×D4311yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—3442no—
1418D4—3442no—
1419D4—3442no—
1420D4—3442no—
1421D4—1724no—
1422D4—1724no—
1423D4—1724no—
1424D4—1724no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
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—21no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—82no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
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—3442no—
1503C2×C4—3442no—
1504C2×C4—3442no—
1505C2×C4—3442no—
1506C2×C4—1724no—
1507C2×C4—1724no—
1508C2×C4—1724no—
1509C2×C4#1306337112yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—862no—
1524C22—862no—
1525C22—862no—
1526C22—862no—
1527C22—862no—
1528C22—862no—
1529C22—3448no—
1530C22—3448no—
1531C22—1721no—
1532C22—1721no—
1533C22—1721no—
1534C22—1721no—
1535C22—1721no—
1536C22—1721no—
1537C22—1721no—
1538C22—1721no—
1539C22—1721no—
1540C22—1721no—
1541C22—1721no—
1542C22—1721no—
1543C22—1721no—
1544C22—1721no—
1545C22—1721no—
1546C22—1721no—
1547C22—1721no—
1548C22—1721no—
1549C22—1721no—
1550C22—1721no—
1551C22—1721no—
1552C22—1721no—
1553C22#1458348314yes—
1554C22C2×#41×D4311yescharacteristic
1555C22C2×#1306337011yescharacteristic
1556C22C2×#1306337111yescharacteristic
1557C22C2×#1306337111yescharacteristic
1558C22#1458373411yescharacteristic
1559C22#1458373511yescharacteristic
1560C22#1458373611yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—1721no—
1575C4—1721no—
1576C4—1721no—
1577C4—1721no—
1578C4—1721no—
1579C4—1721no—
1580C4—1721no—
1581C4—1721no—
1582C4—1721no—
1583C4—1721no—
1584C4—1721no—
1585C4—1721no—
1586C2—24no—
1587C2—81no—
1588C2—3441no—
1589C2—3441no—
1590C2—1722no—
1591C2—1722no—
1592C2C2×#1458348311yescharacteristic
1593C2#1914828911yescharacteristic
1594C2#1914843011yescharacteristic
1595C2#1914878111yescharacteristic
1596C2#1914890511yescharacteristic
1597C2#1914895111yescharacteristic
1598C2#1914914311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2488C2
prime radical#19137968C2
hypercenter#2488D43
hypocenterC43#36779
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. #19142908C2semidirect
2. #19142898C2semidirect
3. #19142256C2semidirect
4. #19142254C2semidirect
5. #19142212C2semidirect
6. #19142035C2semidirect
7. #19142015C2semidirect
8. #19141985C2semidirect
9. #19141921C2semidirect
10. #19141825C2semidirect
11. #19141739C2semidirect
12. #19141717C2semidirect
13. #19141635C2semidirect
14. #19141634C2semidirect
15. #19141590C2semidirect
16. #19141230C2semidirect
17. #19140984C2semidirect
18. #19140978C2semidirect
19. #19140378C2semidirect
20. #19140341C2semidirect
21. #19139149C2semidirect
22. #19138347C2semidirect
23. #19138258C2semidirect
24. #19138146C2semidirect
25. #19137993C2semidirect
27. #19137919C2semidirect
28. #19137255C2semidirect
29. #19137169C2semidirect
30. C2×#14582791C2semidirect
31. C43×#2488C2semidirect
33. C2×#13063318C22semidirect
34. C2×#13063314C22semidirect
36. C2×#13063308C22semidirect
37. C2×#13063301C22semidirect
42. C2×C4×C22⋊D43C22semidirect
43. C22×C4⋊Dic43C22semidirect
48. C22×C4×Dic43C22semidirect
49. C43⋊#401C22semidirect
50. #14582840C22semidirect
51. #14582840C22semidirect
52. #14582839C22semidirect
53. #14582839C22semidirect
54. #14582836C22semidirect
55. #14582836C22semidirect
57. #14582833C22semidirect
58. #14582832C22semidirect
59. #14582832C22semidirect
60. #14582831C22semidirect
61. #14582831C22semidirect
64. #14582828C22semidirect
65. #14582828C22semidirect
66. #14582828C22semidirect
67. #14582827C22semidirect
68. #14582826C22semidirect
69. #14582826C22semidirect
70. #14582826C22semidirect
71. #14582823C22semidirect
72. #14582822C22semidirect
73. #14582822C22semidirect
76. #14582821C22semidirect
77. #14582821C22semidirect
81. #14582817C22semidirect
85. #14582815C22semidirect
86. #14582815C22semidirect
87. #14582815C22semidirect
93. #14582806C22semidirect
95. #14582801C22semidirect
96. #14582800C22semidirect
97. #14582796C22semidirect
98. #14582793C22semidirect
99. #14582792C22semidirect
100. #14582792C22semidirect
106. #14582791C22semidirect
107. #14582791C22semidirect
108. #14582791C22semidirect
109. #14582791C22semidirect
110. #14582791C22semidirect
112. #14582790C22semidirect
113. #14582790C22semidirect
114. #14582790C22semidirect
115. #14582789C22semidirect
116. #14582789C22semidirect
117. #14582789C22semidirect
118. #14582789C22semidirect
119. #14582788C22semidirect
120. #14582787C22semidirect
121. #14582786C22semidirect
122. #14582784C22semidirect
123. #14582783C22semidirect
124. #14582782C22semidirect
125. #14582781C22semidirect
133. #14582777C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
136. #14582777C22semidirect
140. #14582776C22semidirect
141. #14582776C22semidirect
144. #14582775C22semidirect
145. #14582774C22semidirect
146. #14582774C22semidirect
148. #14582772C22semidirect
149. #14582771C22semidirect
152. #14582770C22semidirect
153. #14582770C22semidirect
154. #14582767C22semidirect
155. #14582766C22semidirect
156. #14582764C22semidirect
159. #14582761C22semidirect
160. #14582758C22semidirect
161. #14582758C22semidirect
162. #14582758C22semidirect
163. #14582757C22semidirect
164. #14582756C22semidirect
171. C2×C43⋊#95C22semidirect
173. C2×C22⋊Q8×C43C22semidirect
174. C43×#400C22semidirect
175. C43×#400C22semidirect
176. C43×#397C22semidirect
177. C43×#393C22semidirect
178. C43×#391C22semidirect
179. C43×#388C22semidirect
180. C43×#388C22semidirect
183. C43×#382C22semidirect
184. C43×#381C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C2×#95×C43C22semidirect
808. #2488D43semidirect
838. C2×C22⋊Q8C2×D43semidirect
855. #400C2×D43semidirect
856. #400C2×D43semidirect
874. #397C2×D43semidirect
895. #393C2×D43semidirect
899. #391C2×D43semidirect
927. #388C2×D43semidirect
928. #388C2×D43semidirect
967. #382C2×D43semidirect
971. #381C2×D43semidirect
983. C4×C22⋊C4C2×D43semidirect
985. C2×#95C2×D43semidirect
986. C43#36779semidirect

Maximal subgroups

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

subgroupindex
#191429082
#191428982
#191422562
#191422542
#191422122
#191420352
#191420152
#191419852
#191419212
#191418252
#191417392
#191417172
#191416352
#191416342
#191415902
#191412302
#191409842
#191409782
#191403782
#191403412
#191391492
#191383472
#191382582
#191381462
#191379932
#191379682
#191379192
#191372552
#191371692
C2×#145827912
C43×#24882
#3677943