Finite Group Databasebeta

← #25269341

Subgroups — #25269341

Order 11008.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142909C211yesmaximal, characteristic, complemented
2#19142909C211yesmaximal, characteristic, complemented
3#19142909C211yesmaximal, characteristic, complemented
4#19142907C211yesmaximal, characteristic, complemented
5#19140552C211yesmaximal, characteristic, complemented
6#19140547C211yesmaximal, characteristic, complemented
7#19140547C211yesmaximal, characteristic, complemented
8#19140547C211yesmaximal, characteristic, complemented
9#19139160C211yesmaximal, characteristic, complemented
10#19139158C211yesmaximal, characteristic, complemented
11#19139154C211yesmaximal, characteristic, complemented
12#19139148C211yesmaximal, characteristic, complemented
13#19138986C211yesmaximal, characteristic, complemented
14#19138982C211yesmaximal, characteristic, complemented
15#19138978C211yesmaximal, characteristic, complemented
16#19138974C211yesmaximal, characteristic, complemented
17#19138862C211yesmaximal, characteristic, complemented
18#19138857C211yesmaximal, characteristic, complemented
19#19138852C211yesmaximal, characteristic, complemented
20#19138851C211yesmaximal, characteristic, complemented
21#19138840C211yesmaximal, characteristic, complemented
22#19138838C211yesmaximal, characteristic, complemented
23#19138835C211yesmaximal, characteristic, complemented
24#19137208C211yesmaximal, characteristic, complemented
25#19137206C211yesmaximal, characteristic, complemented
26#19137171C211yesmaximal, characteristic
27#19137171C211yesmaximal, characteristic
28C2×#14582775C211yesmaximal, characteristic
29#385×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063318C2211yescharacteristic, complemented
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063318C2211yescharacteristic, complemented
37C2×C4⋊C4×D43C2211yescharacteristic, complemented
38C2×C4⋊C4×D43C2211yescharacteristic, complemented
39C22×C22⋊Dic43C2211yescharacteristic
40C22×(C2×D43)⋊C4C2211yescharacteristic
41C2×C22⋊C4×D43C2211yescharacteristic
42C2×C22⋊C4×D43C2211yescharacteristic
43C2×C22⋊C4×D43C2211yescharacteristic
44C2×C22⋊C4×D43C2211yescharacteristic
45C2×C42×D43C2211yescharacteristic, complemented
46C2×C42×D43C2211yescharacteristic, complemented
47C43⋊#401C2211yescharacteristic, complemented
48C43⋊#401C2211yescharacteristic, complemented
49C43⋊#401C2211yescharacteristic, complemented
50C43⋊#401C2211yescharacteristic, complemented
51#14582841C2211yescharacteristic, complemented
52#14582841C2211yescharacteristic, complemented
53#14582841C2211yescharacteristic, complemented
54#14582840C2211yescharacteristic, complemented
55#14582840C2211yescharacteristic, complemented
56#14582840C2211yescharacteristic, complemented
57#14582838C2211yescharacteristic, complemented
58#14582838C2211yescharacteristic, complemented
59#14582838C2211yescharacteristic, complemented
60#14582837C2211yescharacteristic, complemented
61#14582837C2211yescharacteristic, complemented
62#14582837C2211yescharacteristic, complemented
63#14582827C2211yescharacteristic, complemented
64#14582827C2211yescharacteristic, complemented
65#14582827C2211yescharacteristic, complemented
66#14582827C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic, complemented
69#14582824C2211yescharacteristic, complemented
70#14582824C2211yescharacteristic, complemented
71#14582824C2211yescharacteristic, complemented
72#14582822C2211yescharacteristic, complemented
73#14582822C2211yescharacteristic, complemented
74#14582822C2211yescharacteristic, complemented
75#14582793C2211yescharacteristic, complemented
76#14582793C2211yescharacteristic, complemented
77#14582793C2211yescharacteristic, complemented
78#14582792C2211yescharacteristic, complemented
79#14582792C2211yescharacteristic, complemented
80#14582792C2211yescharacteristic, complemented
81#14582787C2211yescharacteristic, complemented
82#14582787C2211yescharacteristic, complemented
83#14582787C2211yescharacteristic, complemented
84#14582785C2211yescharacteristic, complemented
85#14582785C2211yescharacteristic, complemented
86#14582785C2211yescharacteristic, complemented
87#14582783C2211yescharacteristic, complemented
88#14582783C2211yescharacteristic, complemented
89#14582783C2211yescharacteristic, complemented
90#14582782C2211yescharacteristic, complemented
91#14582782C2211yescharacteristic, complemented
92#14582782C2211yescharacteristic, complemented
93#14582780C2211yescharacteristic, complemented
94#14582780C2211yescharacteristic, complemented
95#14582780C2211yescharacteristic, complemented
96#14582775C2211yescharacteristic
97#14582775C2211yescharacteristic
98#14582775C2211yescharacteristic
99#14582775C2211yescharacteristic
100#14582775C2211yescharacteristic
101#14582775C2211yescharacteristic
102#14582775C2211yescharacteristic
103#14582775C2211yescharacteristic
104#14582775C2211yescharacteristic
105#14582775C2211yescharacteristic
106#14582775C2211yescharacteristic
107#14582775C2211yescharacteristic
108#14582775C2211yescharacteristic
109#14582775C2211yescharacteristic
110#14582775C2211yescharacteristic
111#14582775C2211yescharacteristic
112#14582775C2211yescharacteristic
113#14582775C2211yescharacteristic
114#14582775C2211yescharacteristic
115#14582775C2211yescharacteristic
116#14582775C2211yescharacteristic
117#14582775C2211yescharacteristic
118#14582775C2211yescharacteristic
119#14582775C2211yescharacteristic
120#14582774C2211yescharacteristic
121#14582774C2211yescharacteristic
122#14582773C2211yescharacteristic, complemented
123#14582773C2211yescharacteristic, complemented
124#14582773C2211yescharacteristic, complemented
125#14582773C2211yescharacteristic, complemented
126#14582773C2211yescharacteristic, complemented
127#14582773C2211yescharacteristic, complemented
128#14582773C2211yescharacteristic, complemented
129#14582773C2211yescharacteristic, complemented
130#14582772C2211yescharacteristic
131#14582772C2211yescharacteristic
132#14582771C2211yescharacteristic
133#14582771C2211yescharacteristic
134#14582770C2211yescharacteristic, complemented
135#14582770C2211yescharacteristic, complemented
136#14582770C2211yescharacteristic, complemented
137#14582770C2211yescharacteristic, complemented
138#14582770C2211yescharacteristic, complemented
139#14582770C2211yescharacteristic, complemented
140#14582770C2211yescharacteristic, complemented
141#14582770C2211yescharacteristic, complemented
142#14582767C2211yescharacteristic, complemented
143#14582766C2211yescharacteristic, complemented
144#14582766C2211yescharacteristic, complemented
145#14582766C2211yescharacteristic, complemented
146#14582760C2211yescharacteristic
147#14582760C2211yescharacteristic
148#14582760C2211yescharacteristic
149#14582760C2211yescharacteristic
150#14582759C2211yescharacteristic
151#14582758C2211yescharacteristic, complemented
152#14582758C2211yescharacteristic, complemented
153#14582757C2211yescharacteristic
154#14582757C2211yescharacteristic
155#14582756C2211yescharacteristic, complemented
156#14582756C2211yescharacteristic, complemented
157#14582755C2211yescharacteristic
158#14582755C2211yescharacteristic
159C22⋊C4×Dic43C2211yescharacteristic
160C22⋊C4×Dic43C2211yescharacteristic
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic43C2211yescharacteristic
164#14582746C2211yescharacteristic, complemented
165#14582746C2211yescharacteristic, complemented
166C2×C43⋊#95C2211yescharacteristic
167C2×C43⋊#95C2211yescharacteristic
168#95×D43C2211yescharacteristic, complemented
169#95×D43C2211yescharacteristic, complemented
170#95×D43C2211yescharacteristic, complemented
171#95×D43C2211yescharacteristic, complemented
172C2×#126×C43C2211yescharacteristic, complemented
173C22×C22⋊C4×C43C2211yescharacteristic
174C43×#397C2211yescharacteristic, complemented
175C43×#397C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#385C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#380C2211yescharacteristic
184C43×#379C2211yescharacteristic
185C43×#379C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×C22⋊D43—24no—
189C22×C22⋊D43—24no—
190C22×C22⋊D43—24no—
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C22×C4×D43—24no—
199C22×C4×D43—42no—
200C22×C4×D43—42no—
201C22×C4×D43C2311yescharacteristic
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
213#13063318—42no—
214#13063318—42no—
215#13063318—42no—
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C4⋊C4×D43—42no—
235C4⋊C4×D43—42no—
236C2×C22⋊Dic43—42no—
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×(C2×D43)⋊C4—24no—
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
266C22⋊C4×D43—24no—
267C22⋊C4×D43—24no—
268C22⋊C4×D43—24no—
269C22⋊C4×D43—24no—
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C42×D43—42no—
277C42×D43—42no—
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
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
326C25×C43C2311yescharacteristic
327C23×C4×C43C2311yescharacteristic
328C23×C4×C43C2311yescharacteristic
329#126×C43—42no—
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43—42no—
337C2×C22⋊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×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C42×C43C2311yescharacteristic
354C2×C42×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×C43—22no—
364C24×C43—22no—
365C24×C43—22no—
366C24×C43—41no—
367C24×C43—41no—
368C24×C43—41no—
369C24×C43—41no—
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C24×C43C2411yescharacteristic
373C23×D43—41no—
374C23×D43—41no—
375C23×D43—41no—
376C23×D43—41no—
377C23×D43#4114yes—
378C23×D43#4114yes—
379C23×D43#4114yes—
380C23×D43C2411yescharacteristic
381C23×D43C2411yescharacteristic
382C22×C4×C43—22no—
383C22×C4×C43—22no—
384C22×C4×C43—22no—
385C22×C4×C43—41no—
386C22×C4×C43—41no—
387C22×C4×C43—41no—
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C2×C22⋊D43—22no—
401C2×C22⋊D43—22no—
402C2×C22⋊D43—22no—
403C2×C22⋊D43—22no—
404C2×C22⋊D43—22no—
405C2×C22⋊D43—22no—
406C2×C22⋊D43—22no—
407C2×C22⋊D43—22no—
408C2×C22⋊D43—22no—
409C2×C22⋊D43—22no—
410C2×C22⋊D43—22no—
411C2×C22⋊D43—22no—
412C2×C22⋊D43—416no—
413C22×Dic43—22no—
414C22×Dic43—22no—
415C22×Dic43—22no—
416C22×Dic43—22no—
417C22×Dic43—22no—
418C22×Dic43—22no—
419C22×Dic43—41no—
420C22×Dic43—41no—
421C22×Dic43—41no—
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—22no—
439C2×C4×D43—22no—
440C2×C4×D43—22no—
441C2×C4×D43—22no—
442C2×C4×D43—22no—
443C2×C4×D43—22no—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—22no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—41no—
453C2×C4×D43—41no—
454C2×C4×D43—41no—
455C2×C4×D43—41no—
456C2×C4×D43—41no—
457C2×C4×D43—41no—
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—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—416no—
473C4⋊C4×C43—22no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C4⋊C4×C43—41no—
477C4⋊C4×C43—41no—
478C4⋊C4×C43—41no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—22no—
481C22⋊C4×C43—22no—
482C22⋊C4×C43—22no—
483C22⋊C4×C43—22no—
484C22⋊C4×C43—22no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C42×C43—22no—
496C42×C43—41no—
497C22⋊Dic43—22no—
498C22⋊Dic43—22no—
499C22⋊Dic43—22no—
500C22⋊Dic43—22no—
501C22⋊Dic43—22no—
502C22⋊Dic43—22no—
503C22⋊Dic43—41no—
504C22⋊Dic43—41no—
505C22⋊Dic43—41no—
506C22⋊Dic43—41no—
507C22⋊Dic43—41no—
508C22⋊Dic43—41no—
509C22⋊Dic43—41no—
510C22⋊Dic43—41no—
511C22⋊Dic43—41no—
512C22⋊Dic43—41no—
513(C2×D43)⋊C4—22no—
514(C2×D43)⋊C4—22no—
515(C2×D43)⋊C4—22no—
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—
525C4⋊Dic43—22no—
526C4⋊Dic43—41no—
527C4⋊Dic43—41no—
528C4⋊Dic43—41no—
529C4⋊Dic43—41no—
530C4⋊Dic43—41no—
531Dic43⋊C4—22no—
532Dic43⋊C4—22no—
533Dic43⋊C4—41no—
534Dic43⋊C4—41no—
535Dic43⋊C4—41no—
536Dic43⋊C4—41no—
537Dic43⋊C4—41no—
538Dic43⋊C4—41no—
539Dic43⋊C4—41no—
540Dic43⋊C4—41no—
541Dic43⋊C4—41no—
542Dic43⋊C4—41no—
543C4×Dic43—22no—
544C4×Dic43—22no—
545C4×Dic43—22no—
546C4×Dic43—41no—
547C4×Dic43—41no—
548C4×Dic43—41no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
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—44no—
568C23×C43—44no—
569C23×C43—44no—
570C23×C43—82no—
571C23×C43—82no—
572C23×C43—82no—
573C23×C43—82no—
574C23×C43C2×#4112yes—
575C23×C43C2×#4112yes—
576C23×C43C2×#4112yes—
577C23×C43C2511yescharacteristic
578C22×D43—21no—
579C22×D43—21no—
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—21no—
586C22×D43—44no—
587C22×D43—44no—
588C22×D43—44no—
589C22×D43—44no—
590C22×D43—44no—
591C22×D43—44no—
592C22×D43#126116yescomplemented
593C22×D43C2×#4112yes—
594C22×D43C2×#4112yes—
595C22×D43C2×#4112yes—
596C22×D43C2×#4112yes—
597C22×D43C2×#4112yes—
598C22×D43C2×#4112yes—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
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—44no—
635C2×C4×C43—82no—
636C2×C4×C43H(5,𝔽2)12yes—
637C22⋊D43—44no—
638C22⋊D43—44no—
639C22⋊D43—44no—
640C22⋊D43—44no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
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—44no—
683C2×Dic43—44no—
684C2×Dic43—82no—
685C2×Dic43H(5,𝔽2)12yes—
686C4×D43—28no—
687C4×D43—44no—
688C4×D43—44no—
689C4×D43—44no—
690C4×D43—44no—
691C4×D43—44no—
692C4×D43—44no—
693C4×D43—44no—
694C4×D43—44no—
695C4×D43—44no—
696C4×D43—82no—
697C4×D43—82no—
698#34995—431nomaximal, Sylow
699C22×C43—22no—
700C22×C43—22no—
701C22×C43—22no—
702C22×C43—22no—
703C22×C43—22no—
704C22×C43—22no—
705C22×C43—41no—
706C22×C43—41no—
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—88no—
720C22×C43C2×#12614yes—
721C22×C43C22×#4111yescharacteristic
722C22×C43C22×#4111yescharacteristic
723C22×C43C22×#4111yescharacteristic
724C22×C43C2×H(5,𝔽2)11yescharacteristic
725C22×C43C2×H(5,𝔽2)11yescharacteristic
726C22×C43#58511yescharacteristic
727C22×C43#58511yescharacteristic
728C2×D43—22no—
729C2×D43—22no—
730C2×D43—22no—
731C2×D43—22no—
732C2×D43—22no—
733C2×D43—22no—
734C2×D43—22no—
735C2×D43—22no—
736C2×D43—22no—
737C2×D43—22no—
738C2×D43—22no—
739C2×D43—22no—
740C2×D43—416no—
741C2×D43C2×#12614yes—
742C2×D43C2×#12614yes—
743C4×C43—22no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43—41no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755Dic43—22no—
756Dic43—41no—
757Dic43—41no—
758Dic43—41no—
759Dic43—41no—
760Dic43—41no—
761Dic43—41no—
762Dic43—41no—
763Dic43—41no—
764Dic43—41no—
765Dic43—41no—
766Dic43—41no—
767Dic43—41no—
768Dic43—41no—
769#2852—431no—
770#2852—431no—
771#2852—431no—
772#2852—431no—
773#2643—431no—
774#2643—431no—
775#2643—431no—
776#2643—431no—
777#2510—431no—
778#2510—431no—
779#2510—431no—
780#2510—431no—
781#2493—431no—
782#2493—431no—
783#2493—431no—
784#2493—431no—
785#2481—431no—
786#2481—431no—
787#2481—431no—
788#2481—431no—
789#2480—431no—
790#2480—431no—
791#2480—431no—
792#2480D4311yescharacteristic, complemented
793#2315—431no—
794#2315—431no—
795#2308—431no—
796#2308—431no—
797C2×#386—431no—
798C2×#385—431no—
799C2×C4×C22⋊C4—431no—
800C2×C43—24no—
801C2×C43—81no—
802C2×C43—81no—
803C2×C43C22×#12611yescharacteristic
804C2×C43#345911yescharacteristic
805C2×C43#345911yescharacteristic
806C2×C43#349011yescharacteristic
807C2×C43#349111yescharacteristic
808C2×C43#350511yescharacteristic
809C2×C43#350511yescharacteristic
810D43—24no—
811D43—24no—
812C23×D4—431no—
813C24×C4—431no—
814C2×#126—431no—
815C2×#126—431no—
816C2×#126—431no—
817C2×#126C2×D4311yescharacteristic, complemented
818C22×C4⋊C4—431no—
819C22×C4⋊C4—431no—
820C22×C22⋊C4—431no—
821C22×C22⋊C4—431no—
822C22×C22⋊C4—431no—
823C22×C22⋊C4—431no—
824C22×C22⋊C4—431no—
825C22×C22⋊C4—431no—
826C22×C22⋊C4C2×D4311yescharacteristic
827C22×C42—431no—
828C22×C42—431no—
829#401—431no—
830#401—431no—
831#401—431no—
832#401—431no—
833#400—431no—
834#400—431no—
835#400—431no—
836#400—431no—
837#400—431no—
838#400—431no—
839#400—431no—
840#400—431no—
841#400—431no—
842#400—431no—
843#400—431no—
844#400—431no—
845#397—431no—
846#397—431no—
847#397—431no—
848#397—431no—
849#397—431no—
850#397—431no—
851#397—431no—
852#397—431no—
853#397—431no—
854#397C2×D4311yescharacteristic, complemented
855#397C2×D4311yescharacteristic, complemented
856#397C2×D4311yescharacteristic, complemented
857#396—431no—
858#396—431no—
859#396—431no—
860#396C2×D4311yescharacteristic, complemented
861#388—431no—
862#388—431no—
863#388—431no—
864#388—431no—
865#388—431no—
866#388—431no—
867#388—431no—
868#388—431no—
869#388—431no—
870#388C2×D4311yescharacteristic, complemented
871#388C2×D4311yescharacteristic, complemented
872#388C2×D4311yescharacteristic, complemented
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387—431no—
880#387—431no—
881#387—431no—
882#387—431no—
883#387—431no—
884#387—431no—
885#386—431no—
886#386—431no—
887#386—431no—
888#386—431no—
889#386—431no—
890#386—431no—
891#386—431no—
892#386—431no—
893#386—431no—
894#386—431no—
895#386—431no—
896#386—431no—
897#386—431no—
898#386—431no—
899#386—431no—
900#386—431no—
901#386—431no—
902#386—431no—
903#386—431no—
904#386—431no—
905#386—431no—
906#386—431no—
907#386—431no—
908#386—431no—
909#385—431no—
910#385—431no—
911#385—431no—
912#385—431no—
913#385—431no—
914#385—431no—
915#385—431no—
916#385—431no—
917#385—431no—
918#385—431no—
919#385—431no—
920#385—431no—
921#385—431no—
922#385—431no—
923#385—431no—
924#385—431no—
925#385—431no—
926#385—431no—
927#385—431no—
928#385—431no—
929#385—431no—
930#385—431no—
931#385C2×D4311yescharacteristic
932#385C2×D4311yescharacteristic
933#383—431no—
934#383—431no—
935#383—431no—
936#383—431no—
937#381—431no—
938#381—431no—
939#381—431no—
940#381—431no—
941#380—431no—
942#380—431no—
943#380—431no—
944#380—431no—
945#380—431no—
946#380—431no—
947#380—431no—
948#380C2×D4311yescharacteristic
949#379—431no—
950#379—431no—
951#379C2×D4311yescharacteristic
952#379C2×D4311yescharacteristic
953C4×C22⋊C4—431no—
954C4×C22⋊C4—431no—
955C4×C22⋊C4—431no—
956C4×C22⋊C4—431no—
957C4×C22⋊C4—431no—
958C4×C22⋊C4—431no—
959C4×C22⋊C4—431no—
960C4×C22⋊C4C2×D4311yescharacteristic
961C2×#95—431no—
962C2×#95—431no—
963C2×#95—431no—
964C2×#95—431no—
965C2×#95—431no—
966C2×#95—431no—
967C43#3499511yescharacteristic, complemented, Sylow
968C25—431no—
969C25C22×D4311yescharacteristic
970C22×D4—431no—
971C22×D4—431no—
972C22×D4—431no—
973C22×D4—431no—
974C22×D4—864no—
975C22×D4—864no—
976C22×D4—864no—
977C23×C4—431no—
978C23×C4—431no—
979C23×C4—431no—
980C23×C4—431no—
981C23×C4—431no—
982C23×C4—431no—
983C23×C4—431no—
984C23×C4—431no—
985C23×C4—431no—
986C23×C4—431no—
987C23×C4—431no—
988C23×C4—431no—
989C23×C4—431no—
990C23×C4—431no—
991C23×C4—431no—
992C23×C4—864no—
993C23×C4—1722no—
994C23×C4—1722no—
995C23×C4C22×D4311yescharacteristic
996C23×C4C22×D4311yescharacteristic
997#126—42no—
998#126—1722no—
999#126—1722no—
1000#126—1722no—
1001C2×C4⋊C4—431no—
1002C2×C4⋊C4—431no—
1003C2×C4⋊C4—431no—
1004C2×C4⋊C4—431no—
1005C2×C4⋊C4—431no—
1006C2×C4⋊C4—431no—
1007C2×C4⋊C4—431no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—431no—
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4—431no—
1013C2×C4⋊C4—431no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—1722no—
1020C2×C4⋊C4—1722no—
1021C2×C4⋊C4C22×D4311yescharacteristic
1022C2×C4⋊C4C22×D4311yescharacteristic
1023C2×C4⋊C4C22×D4311yescharacteristic
1024C2×C4⋊C4C22×D4311yescharacteristic
1025C2×C4⋊C4C22×D4311yescharacteristic
1026C2×C4⋊C4C22×D4311yescharacteristic
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4—431no—
1029C2×C22⋊C4—431no—
1030C2×C22⋊C4—431no—
1031C2×C22⋊C4—431no—
1032C2×C22⋊C4—431no—
1033C2×C22⋊C4—431no—
1034C2×C22⋊C4—431no—
1035C2×C22⋊C4—431no—
1036C2×C22⋊C4—431no—
1037C2×C22⋊C4—431no—
1038C2×C22⋊C4—431no—
1039C2×C22⋊C4—431no—
1040C2×C22⋊C4—431no—
1041C2×C22⋊C4—431no—
1042C2×C22⋊C4—431no—
1043C2×C22⋊C4—431no—
1044C2×C22⋊C4—431no—
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4—431no—
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—431no—
1050C2×C22⋊C4—431no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—864no—
1057C2×C22⋊C4—864no—
1058C2×C22⋊C4—864no—
1059C2×C22⋊C4—864no—
1060C2×C22⋊C4—864no—
1061C2×C22⋊C4—1722no—
1062C2×C22⋊C4C22×D4311yescharacteristic
1063C2×C22⋊C4C22×D4311yescharacteristic
1064C2×C22⋊C4C22×D4311yescharacteristic
1065C2×C22⋊C4C22×D4311yescharacteristic
1066C2×C22⋊C4C22×D4311yescharacteristic
1067C2×C22⋊C4C22×D4311yescharacteristic
1068C2×C22⋊C4C22×D4311yescharacteristic
1069C2×C22⋊C4C22×D4311yescharacteristic
1070C2×C22⋊C4C22×D4311yescharacteristic
1071C2×C22⋊C4C22×D4311yescharacteristic
1072C2×C22⋊C4C22×D4311yescharacteristic
1073C2×C22⋊C4C22×D4311yescharacteristic
1074C2×C22⋊C4C22×D4311yescharacteristic
1075C2×C22⋊C4C22×D4311yescharacteristic
1076C2×C22⋊C4C22×D4311yescharacteristic
1077C2×C22⋊C4C22×D4311yescharacteristic
1078C2×C42—431no—
1079C2×C42—431no—
1080C2×C42—431no—
1081C2×C42—431no—
1082C2×C42—431no—
1083C2×C42—431no—
1084C2×C42—1722no—
1085C2×C42—1722no—
1086C2×C42C22×D4311yescharacteristic
1087C2×C42C22×D4311yescharacteristic
1088#95—431no—
1089#95—431no—
1090#95—431no—
1091#95—431no—
1092#95—431no—
1093#95—431no—
1094#95—431no—
1095#95—431no—
1096#95—431no—
1097#95—431no—
1098#95—431no—
1099#95—431no—
1100#95—431no—
1101#95—431no—
1102#95—431no—
1103#95—431no—
1104#95—431no—
1105#95—431no—
1106#95—431no—
1107#95—431no—
1108#95—431no—
1109#95—431no—
1110#95—431no—
1111#95—431no—
1112#95—431no—
1113#95—431no—
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
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#95C22×D4311yescharacteristic
1137#95C22×D4311yescharacteristic
1138#95C22×D4311yescharacteristic
1139#95C22×D4311yescharacteristic
1140#95C22×D4311yescharacteristic
1141#95C22×D4311yescharacteristic
1142#95C22×D4311yescharacteristic
1143#95C22×D4311yescharacteristic
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—41no—
1151C24—431no—
1152C24—431no—
1153C24—434no—
1154C24—434no—
1155C24—434no—
1156C24—1721no—
1157C24—1721no—
1158C24—1721no—
1159C24—1721no—
1160C24C23×D4311yescharacteristic
1161C24C23×D4311yescharacteristic
1162C24C23×D4311yescharacteristic
1163C2×D4—862no—
1164C2×D4—862no—
1165C2×D4—862no—
1166C2×D4—862no—
1167C2×D4—862no—
1168C2×D4—862no—
1169C2×D4—862no—
1170C2×D4—862no—
1171C2×D4—862no—
1172C2×D4—862no—
1173C2×D4—862no—
1174C2×D4—862no—
1175C2×D4—17216no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—431no—
1183C22×C4—431no—
1184C22×C4—431no—
1185C22×C4—431no—
1186C22×C4—431no—
1187C22×C4—431no—
1188C22×C4—431no—
1189C22×C4—431no—
1190C22×C4—431no—
1191C22×C4—431no—
1192C22×C4—431no—
1193C22×C4—431no—
1194C22×C4—431no—
1195C22×C4—431no—
1196C22×C4—862no—
1197C22×C4—862no—
1198C22×C4—862no—
1199C22×C4—862no—
1200C22×C4—862no—
1201C22×C4—862no—
1202C22×C4—862no—
1203C22×C4—862no—
1204C22×C4—862no—
1205C22×C4—862no—
1206C22×C4—862no—
1207C22×C4—862no—
1208C22×C4—862no—
1209C22×C4—862no—
1210C22×C4—862no—
1211C22×C4—862no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—1721no—
1219C22×C4—1721no—
1220C22×C4—1721no—
1221C22×C4—1721no—
1222C22×C4—1721no—
1223C22×C4—1721no—
1224C22×C4—1721no—
1225C22×C4—1721no—
1226C22×C4—1721no—
1227C22×C4—1721no—
1228C22×C4—1721no—
1229C22×C4—1721no—
1230C22×C4—1721no—
1231C22×C4—1721no—
1232C22×C4—1721no—
1233C22×C4—1721no—
1234C22×C4—1721no—
1235C22×C4—1721no—
1236C22×C4—1721no—
1237C22×C4—1721no—
1238C22×C4—17216no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—1721no—
1242C22×C4C23×D4311yescharacteristic
1243C22×C4C23×D4311yescharacteristic
1244C22×C4C23×D4311yescharacteristic
1245C22×C4C23×D4311yescharacteristic
1246C22×C4C23×D4311yescharacteristic
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—862no—
1261C4⋊C4—862no—
1262C4⋊C4—862no—
1263C4⋊C4—1721no—
1264C4⋊C4—1721no—
1265C4⋊C4—1721no—
1266C4⋊C4—1721no—
1267C4⋊C4—1721no—
1268C4⋊C4—1721no—
1269C4⋊C4—1721no—
1270C4⋊C4—1721no—
1271C4⋊C4—1721no—
1272C4⋊C4—1721no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—862no—
1295C22⋊C4—862no—
1296C22⋊C4—862no—
1297C22⋊C4—862no—
1298C22⋊C4—862no—
1299C22⋊C4—862no—
1300C22⋊C4—862no—
1301C22⋊C4—862no—
1302C22⋊C4—862no—
1303C22⋊C4—862no—
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—1721no—
1313C22⋊C4—1721no—
1314C22⋊C4—1721no—
1315C22⋊C4—1721no—
1316C22⋊C4—1721no—
1317C22⋊C4—1721no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C42—22no—
1323C42—41no—
1324C42—862no—
1325C42—862no—
1326C42—862no—
1327C42—1721no—
1328C42—1721no—
1329C42—1721no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23—432no—
1356C23—432no—
1357C23—432no—
1358C23—432no—
1359C23—432no—
1360C23—432no—
1361C23—4316no—
1362C23—861no—
1363C23—861no—
1364C23—861no—
1365C23—861no—
1366C23—861no—
1367C23—861no—
1368C23—861no—
1369C23—861no—
1370C23—1724no—
1371C23—1724no—
1372C23—1724no—
1373C23—1724no—
1374C23—1724no—
1375C23—1724no—
1376C23#41×D4312yes—
1377C23#41×D4312yes—
1378C23#41×D4312yes—
1379C23C24×D4311yescharacteristic
1380D4—1724no—
1381D4—1724no—
1382D4—1724no—
1383D4—1724no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—82no—
1421C2×C4—432no—
1422C2×C4—868no—
1423C2×C4—861no—
1424C2×C4—861no—
1425C2×C4—861no—
1426C2×C4—861no—
1427C2×C4—861no—
1428C2×C4—861no—
1429C2×C4—861no—
1430C2×C4—861no—
1431C2×C4—861no—
1432C2×C4—861no—
1433C2×C4—861no—
1434C2×C4—861no—
1435C2×C4—861no—
1436C2×C4—861no—
1437C2×C4—861no—
1438C2×C4—861no—
1439C2×C4—861no—
1440C2×C4—861no—
1441C2×C4—861no—
1442C2×C4—861no—
1443C2×C4—861no—
1444C2×C4—861no—
1445C2×C4—861no—
1446C2×C4—861no—
1447C2×C4—861no—
1448C2×C4—861no—
1449C2×C4—861no—
1450C2×C4—861no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—3442no—
1465C2×C4—3442no—
1466C2×C4—3442no—
1467C2×C4—1724no—
1468C2×C4—1724no—
1469C2×C4—1724no—
1470C2×C4—1724no—
1471C2×C4—1724no—
1472C2×C4—1724no—
1473C2×C4—1724no—
1474C2×C4—1724no—
1475C2×C4—1724no—
1476C2×C4—1724no—
1477C2×C4—1724no—
1478C2×C4#1306337012yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—434no—
1501C22—434no—
1502C22—862no—
1503C22—862no—
1504C22—862no—
1505C22—862no—
1506C22—862no—
1507C22—862no—
1508C22—862no—
1509C22—862no—
1510C22—862no—
1511C22—862no—
1512C22—862no—
1513C22—862no—
1514C22—17216no—
1515C22#126×D4314yes—
1516C22C2×#41×D4311yescharacteristic
1517C22C2×#41×D4311yescharacteristic
1518C22C2×#41×D4311yescharacteristic
1519C22H(5,𝔽2)×D4311yescharacteristic
1520C22C2×#1306337011yescharacteristic
1521C22#1458373411yescharacteristic
1522C22#1458373511yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—862no—
1536C4—1721no—
1537C4—1721no—
1538C4—1721no—
1539C4—1721no—
1540C4—1721no—
1541C4—1721no—
1542C4—1721no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C4—1721no—
1547C4—1721no—
1548C4—1721no—
1549C2—24no—
1550C2—81no—
1551C2—81no—
1552C2—864no—
1553C2—864no—
1554C2C2×#126×D4311yescharacteristic
1555C2#1914800211yescharacteristic
1556C2#1914800611yescharacteristic
1557C2#1914827711yescharacteristic
1558C2#1914828611yescharacteristic
1559C2#1914842211yescharacteristic
1560C2#1914842611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2480C2
prime radicalC23×C22⋊D43C22
hypercenter#2480D43
hypocenterC43#34995
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #19142909C2semidirect
2. #19142909C2semidirect
3. #19142909C2semidirect
4. #19142907C2semidirect
5. #19140552C2semidirect
6. #19140547C2semidirect
7. #19140547C2semidirect
8. #19140547C2semidirect
9. #19139160C2semidirect
10. #19139158C2semidirect
11. #19139154C2semidirect
12. #19139148C2semidirect
13. #19138986C2semidirect
14. #19138982C2semidirect
15. #19138978C2semidirect
16. #19138974C2semidirect
17. #19138862C2semidirect
18. #19138857C2semidirect
19. #19138852C2semidirect
20. #19138851C2semidirect
21. #19138840C2semidirect
22. #19138838C2semidirect
23. #19138835C2semidirect
24. #19137208C2semidirect
25. #19137206C2semidirect
29. #385×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2480C2semidirect
34. C2×#13063318C22semidirect
35. C2×#13063318C22semidirect
36. C2×#13063318C22semidirect
37. C2×C4⋊C4×D43C22semidirect
38. C2×C4⋊C4×D43C22semidirect
45. C2×C42×D43C22semidirect
46. C2×C42×D43C22semidirect
47. C43⋊#401C22semidirect
48. C43⋊#401C22semidirect
49. C43⋊#401C22semidirect
50. C43⋊#401C22semidirect
51. #14582841C22semidirect
52. #14582841C22semidirect
53. #14582841C22semidirect
54. #14582840C22semidirect
55. #14582840C22semidirect
56. #14582840C22semidirect
57. #14582838C22semidirect
58. #14582838C22semidirect
59. #14582838C22semidirect
60. #14582837C22semidirect
61. #14582837C22semidirect
62. #14582837C22semidirect
63. #14582827C22semidirect
64. #14582827C22semidirect
65. #14582827C22semidirect
66. #14582827C22semidirect
67. #14582827C22semidirect
68. #14582827C22semidirect
69. #14582824C22semidirect
70. #14582824C22semidirect
71. #14582824C22semidirect
72. #14582822C22semidirect
73. #14582822C22semidirect
74. #14582822C22semidirect
75. #14582793C22semidirect
76. #14582793C22semidirect
77. #14582793C22semidirect
78. #14582792C22semidirect
79. #14582792C22semidirect
80. #14582792C22semidirect
81. #14582787C22semidirect
82. #14582787C22semidirect
83. #14582787C22semidirect
84. #14582785C22semidirect
85. #14582785C22semidirect
86. #14582785C22semidirect
87. #14582783C22semidirect
88. #14582783C22semidirect
89. #14582783C22semidirect
90. #14582782C22semidirect
91. #14582782C22semidirect
92. #14582782C22semidirect
93. #14582780C22semidirect
94. #14582780C22semidirect
95. #14582780C22semidirect
122. #14582773C22semidirect
123. #14582773C22semidirect
124. #14582773C22semidirect
125. #14582773C22semidirect
126. #14582773C22semidirect
127. #14582773C22semidirect
128. #14582773C22semidirect
129. #14582773C22semidirect
134. #14582770C22semidirect
135. #14582770C22semidirect
136. #14582770C22semidirect
137. #14582770C22semidirect
138. #14582770C22semidirect
139. #14582770C22semidirect
140. #14582770C22semidirect
141. #14582770C22semidirect
142. #14582767C22semidirect
143. #14582766C22semidirect
144. #14582766C22semidirect
145. #14582766C22semidirect
151. #14582758C22semidirect
152. #14582758C22semidirect
155. #14582756C22semidirect
156. #14582756C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
162. C4×(C2×D43)⋊C4C22semidirect
164. #14582746C22semidirect
165. #14582746C22semidirect
168. #95×D43C22semidirect
169. #95×D43C22semidirect
170. #95×D43C22semidirect
171. #95×D43C22semidirect
172. C2×#126×C43C22semidirect
174. C43×#397C22semidirect
175. C43×#397C22semidirect
176. C43×#397C22semidirect
177. C43×#396C22semidirect
178. C43×#388C22semidirect
179. C43×#388C22semidirect
180. C43×#388C22semidirect
592. C22×D43#126semidirect
792. #2480D43semidirect
817. C2×#126C2×D43semidirect
854. #397C2×D43semidirect
855. #397C2×D43semidirect
856. #397C2×D43semidirect
860. #396C2×D43semidirect
870. #388C2×D43semidirect
871. #388C2×D43semidirect
872. #388C2×D43semidirect
967. C43#34995semidirect

Maximal subgroups

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

subgroupindex
#191429092
#191429072
#191405522
#191405472
#191391602
#191391582
#191391542
#191391482
#191389862
#191389822
#191389782
#191389742
#191388622
#191388572
#191388522
#191388512
#191388402
#191388382
#191388352
#191372082
#191372062
#191371712
C2×#145827752
#385×D432
C4×C22⋊C4×D432
C43×#24802
#3499543