Finite Group Databasebeta

← #25269879

Subgroups — #25269879

Order 11008.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142964C211yesmaximal, characteristic, complemented
2#19142960C211yesmaximal, characteristic, complemented
3#19142922C211yesmaximal, characteristic, complemented
4#19142893C211yesmaximal, characteristic, complemented
5#19140635C211yesmaximal, characteristic, complemented
6#19140633C211yesmaximal, characteristic, complemented
7#19140590C211yesmaximal, characteristic, complemented
8#19140588C211yesmaximal, characteristic, complemented
9#19140090C211yesmaximal, characteristic, complemented
10#19140089C211yesmaximal, characteristic, complemented
11#19139661C211yesmaximal, characteristic, complemented
12#19139653C211yesmaximal, characteristic, complemented
13#19139185C211yesmaximal, characteristic, complemented
14#19138942C211yesmaximal, characteristic, complemented
15#19138841C211yesmaximal, characteristic, complemented
16#19138386C211yesmaximal, characteristic, complemented
17#19138318C211yesmaximal, characteristic, complemented
18#19138244C211yesmaximal, characteristic, complemented
19#19138156C211yesmaximal, characteristic, complemented
20#19138059C211yesmaximal, characteristic, complemented
21#19138057C211yesmaximal, characteristic, complemented
22#19138045C211yesmaximal, characteristic, complemented
23#19137950C211yesmaximal, characteristic
24#19137252C211yesmaximal, characteristic, complemented
25#19137250C211yesmaximal, characteristic, complemented
26#19137192C211yesmaximal, characteristic, complemented
27#19137191C211yesmaximal, characteristic, complemented
28#19137127C211yesmaximal, characteristic, complemented
29C2×#14582799C211yesmaximal, characteristic, complemented
30C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
31C43×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C2×#13063319C2211yescharacteristic, complemented
34C2×#13063315C2211yescharacteristic, complemented
35C2×#13063311C2211yescharacteristic
36C2×#13063311C2211yescharacteristic
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063307C2211yescharacteristic, complemented
39C2×#13063303C2211yescharacteristic, complemented
40C2×#13063302C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063294C2211yescharacteristic
45C2×#13063290C2211yescharacteristic, complemented
46C2×C4×C22⋊D43C2211yescharacteristic
47C2×(C22⋊D43)⋊C4C2211yescharacteristic
48C2×(C22⋊D43)⋊C4C2211yescharacteristic
49C22×Dic43⋊C4C2211yescharacteristic
50C22×C22⋊Dic43C2211yescharacteristic
51C22×(C2×D43)⋊C4C2211yescharacteristic
52C22×(C2×D43)⋊C4C2211yescharacteristic
53C22×C4×Dic43C2211yescharacteristic
54C2×C42×D43C2211yescharacteristic, complemented
55#14582840C2211yescharacteristic, complemented
56#14582839C2211yescharacteristic, complemented
57#14582835C2211yescharacteristic, complemented
58#14582834C2211yescharacteristic, complemented
59#14582833C2211yescharacteristic, complemented
60#14582832C2211yescharacteristic, complemented
61#14582830C2211yescharacteristic, complemented
62#14582830C2211yescharacteristic, complemented
63#14582828C2211yescharacteristic, complemented
64#14582828C2211yescharacteristic, complemented
65#14582828C2211yescharacteristic, complemented
66#14582828C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582823C2211yescharacteristic, complemented
69#14582823C2211yescharacteristic, complemented
70#14582821C2211yescharacteristic, complemented
71#14582817C2211yescharacteristic, complemented
72#14582816C2211yescharacteristic, complemented
73#14582815C2211yescharacteristic
74#14582815C2211yescharacteristic
75#14582815C2211yescharacteristic, complemented
76#14582814C2211yescharacteristic
77#14582814C2211yescharacteristic
78#14582814C2211yescharacteristic
79#14582814C2211yescharacteristic
80#14582814C2211yescharacteristic, complemented
81#14582808C2211yescharacteristic
82#14582808C2211yescharacteristic
83#14582803C2211yescharacteristic, complemented
84#14582803C2211yescharacteristic, complemented
85#14582800C2211yescharacteristic, complemented
86#14582800C2211yescharacteristic, complemented
87#14582799C2211yescharacteristic
88#14582799C2211yescharacteristic
89#14582799C2211yescharacteristic
90#14582799C2211yescharacteristic
91#14582799C2211yescharacteristic
92#14582799C2211yescharacteristic
93#14582799C2211yescharacteristic
94#14582799C2211yescharacteristic
95#14582799C2211yescharacteristic
96#14582799C2211yescharacteristic
97#14582799C2211yescharacteristic
98#14582799C2211yescharacteristic
99#14582799C2211yescharacteristic, complemented
100#14582799C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582794C2211yescharacteristic, complemented
103#14582794C2211yescharacteristic, complemented
104#14582794C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic, complemented
106#14582793C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic, complemented
108#14582793C2211yescharacteristic, complemented
109#14582793C2211yescharacteristic, complemented
110#14582793C2211yescharacteristic, complemented
111#14582793C2211yescharacteristic, complemented
112#14582792C2211yescharacteristic, complemented
113#14582791C2211yescharacteristic, complemented
114#14582791C2211yescharacteristic, complemented
115#14582791C2211yescharacteristic, complemented
116#14582791C2211yescharacteristic, complemented
117#14582790C2211yescharacteristic, complemented
118#14582790C2211yescharacteristic, complemented
119#14582790C2211yescharacteristic, complemented
120#14582789C2211yescharacteristic, complemented
121#14582789C2211yescharacteristic, complemented
122#14582789C2211yescharacteristic, complemented
123#14582789C2211yescharacteristic, complemented
124#14582789C2211yescharacteristic, complemented
125#14582789C2211yescharacteristic, complemented
126#14582789C2211yescharacteristic, complemented
127#14582788C2211yescharacteristic, complemented
128#14582788C2211yescharacteristic, complemented
129#14582788C2211yescharacteristic, complemented
130#14582787C2211yescharacteristic, complemented
131#14582787C2211yescharacteristic, complemented
132#14582787C2211yescharacteristic, complemented
133#14582787C2211yescharacteristic, complemented
134#14582787C2211yescharacteristic, complemented
135#14582787C2211yescharacteristic, complemented
136#14582784C2211yescharacteristic, complemented
137#14582780C2211yescharacteristic, complemented
138#14582778C2211yescharacteristic
139#14582777C2211yescharacteristic, complemented
140#14582777C2211yescharacteristic, complemented
141#14582777C2211yescharacteristic, complemented
142#14582776C2211yescharacteristic
143#14582775C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic, complemented
145#14582775C2211yescharacteristic, complemented
146#14582772C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582763C2211yescharacteristic, complemented
149#14582759C2211yescharacteristic
150#14582758C2211yescharacteristic, complemented
151#14582757C2211yescharacteristic
152#14582757C2211yescharacteristic
153#14582757C2211yescharacteristic
154#14582755C2211yescharacteristic
155#14582754C2211yescharacteristic
156#14582754C2211yescharacteristic
157#14582754C2211yescharacteristic
158C4⋊C4×Dic43C2211yescharacteristic, complemented
159C4×Dic43⋊C4C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161#14582750C2211yescharacteristic, complemented
162#14582750C2211yescharacteristic, complemented
163#14582750C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171C42×Dic43C2211yescharacteristic, 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×Dic86C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×C22⋊D43—24no—
192C22×C22⋊D43—42no—
193C22×C22⋊D43—42no—
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063319—42no—
208#13063315—42no—
209#13063311—42no—
210#13063311—42no—
211#13063310—42no—
212#13063307—42no—
213#13063303—42no—
214#13063302—24no—
215#13063298—42no—
216#13063298—42no—
217#13063295—24no—
218#13063294—24no—
219#13063290—42no—
220C4×C22⋊D43—24no—
221(C22⋊D43)⋊C4—24no—
222(C22⋊D43)⋊C4—24no—
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×Dic43⋊C4—42no—
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×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×C22⋊Dic43—24no—
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4—24no—
261C2×(C2×D43)⋊C4—42no—
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
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×C4×Dic43—42no—
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
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C42×D43—42no—
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
332C25×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335#126×C43—42no—
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43—42no—
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×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C42×C43C2311yescharacteristic
360C2×C42×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43—22no—
370C24×C43—22no—
371C24×C43—22no—
372C24×C43—41no—
373C24×C43—41no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—41no—
383C23×D43—41no—
384C23×D43—41no—
385C23×D43—41no—
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C22×C4×C43—22no—
390C22×C4×C43—22no—
391C22×C4×C43—22no—
392C22×C4×C43—41no—
393C22×C4×C43—41no—
394C22×C4×C43—41no—
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
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
407C2×C22⋊D43—22no—
408C2×C22⋊D43—22no—
409C2×C22⋊D43—22no—
410C2×C22⋊D43—22no—
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—22no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—416no—
428C2×C22⋊D43#4114yes—
429C22×Dic43—22no—
430C22×Dic43—22no—
431C22×Dic43—22no—
432C22×Dic43—41no—
433C22×Dic43—41no—
434C22×Dic43—41no—
435C22×Dic43—41no—
436C22×Dic43#4114yes—
437C22×Dic43#4114yes—
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C2×D172—22no—
452C2×D172—22no—
453C2×D172—41no—
454C2×D172—41no—
455C2×D172—41no—
456C2×D172—41no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—41no—
464C2×C4×D43—41no—
465C2×C4×D43—41no—
466C2×Dic86—22no—
467C2×Dic86—22no—
468C2×Dic86—22no—
469C4⋊C4×C43—22no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—22no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C42×C43—22no—
492C42×C43—41no—
493C22⋊Dic43—22no—
494C22⋊Dic43—22no—
495C22⋊Dic43—22no—
496C22⋊Dic43—22no—
497C22⋊Dic43—22no—
498C22⋊Dic43—22no—
499C22⋊Dic43—22no—
500C22⋊Dic43—22no—
501C22⋊Dic43—22no—
502C22⋊Dic43—41no—
503C22⋊Dic43—41no—
504C22⋊Dic43—41no—
505C22⋊Dic43—41no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4—22no—
513(C2×D43)⋊C4—22no—
514(C2×D43)⋊C4—22no—
515(C2×D43)⋊C4—22no—
516(C2×D43)⋊C4—22no—
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—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535C4⋊Dic43—22no—
536C4⋊Dic43—41no—
537C4⋊Dic43—41no—
538Dic43⋊C4—22no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—22no—
542Dic43⋊C4—22no—
543Dic43⋊C4—22no—
544Dic43⋊C4—22no—
545Dic43⋊C4—22no—
546Dic43⋊C4—22no—
547Dic43⋊C4—22no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551Dic43⋊C4—41no—
552Dic43⋊C4—41no—
553Dic43⋊C4—41no—
554Dic43⋊C4—41no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557C4×Dic43—22no—
558C4×Dic43—22no—
559C4×Dic43—22no—
560C4×Dic43—22no—
561C4×Dic43—22no—
562C4×Dic43—22no—
563C4×Dic43—22no—
564C4×Dic43—41no—
565C4×Dic43—41no—
566C4×Dic43—41no—
567C4×Dic43—41no—
568C4×Dic43—41no—
569C4×Dic43—41no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
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—44no—
591C23×C43—44no—
592C23×C43—44no—
593C23×C43—82no—
594C23×C43—82no—
595C23×C43—82no—
596C23×C43—82no—
597C23×C43C2×#4112yes—
598C23×C43C2×#4112yes—
599C23×C43C2×#4112yes—
600C23×C43C2511yescharacteristic
601C22×D43—21no—
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—44no—
622C22×D43—44no—
623C22×D43—44no—
624C22×D43—82no—
625C22×D43—82no—
626C22×D43—82no—
627C22×D43—82no—
628C22×D43C2×#4112yes—
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—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—44no—
665C2×C4×C43—82no—
666C2×C4×C43H(5,𝔽2)12yes—
667C22⋊D43—28no—
668C22⋊D43—44no—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C22⋊D43—82no—
673C22⋊D43—82no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—28no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—44no—
708C2×Dic43—82no—
709C2×Dic43C2×#4112yes—
710C2×Dic43C2×#4112yes—
711C2×Dic43C2×#4112yes—
712C2×Dic43C2×#4112yes—
713C2×Dic43C2×#4112yes—
714C2×Dic43H(5,𝔽2)12yes—
715C2×Dic43H(5,𝔽2)12yes—
716D172—82no—
717D172—82no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721Dic86—44no—
722#35025—431nomaximal, Sylow
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—41no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—88no—
744C22×C43#52914yes—
745C22×C43C22×#4111yescharacteristic
746C22×C43C22×#4111yescharacteristic
747C22×C43C22×#4111yescharacteristic
748C22×C43C2×H(5,𝔽2)11yescharacteristic
749C22×C43C2×H(5,𝔽2)11yescharacteristic
750C22×C43C2×H(5,𝔽2)11yescharacteristic
751C22×C43#58511yescharacteristic
752C2×D43—22no—
753C2×D43—22no—
754C2×D43—22no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—88no—
774C4×C43—22no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786Dic43—22no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#53814yes—
799#2861—431no—
800#2860—431no—
801#2854—431no—
802#2850—431no—
803#2651—431no—
804#2651—431no—
805#2648—431no—
806#2648—431no—
807#2593—431no—
808#2593—431no—
809#2554—431no—
810#2554—431no—
811#2513—431no—
812#2490—431no—
813#2480—431no—
814#2480D4311yescharacteristic, complemented
815#2448—431no—
816#2442—431no—
817#2435—431no—
818#2426—431no—
819#2418—431no—
820#2418—431no—
821#2417—431no—
822#2408—431no—
823#2321—431no—
824#2321—431no—
825#2312—431no—
826#2312—431no—
827C4×C22⋊Q8—431no—
828C2×#390—431no—
829C42×D4—431no—
830C2×C43—24no—
831C2×C43—81no—
832C2×C43—81no—
833C2×C43C2×#52911yescharacteristic
834C2×C43C2×#53811yescharacteristic
835C2×C43#346011yescharacteristic
836C2×C43#350511yescharacteristic
837C2×C43#350811yescharacteristic
838C2×C43#351411yescharacteristic
839C2×C43#351911yescharacteristic
840D43—42no—
841D43—81no—
842D43—81no—
843C23×D4—431no—
844C2×#126—431no—
845C2×#126C2×D4311yescharacteristic, complemented
846C2×#125—431no—
847C2×#124—431no—
848C2×#124—431no—
849C2×#123—431no—
850C2×#123—431no—
851C2×C22⋊Q8—431no—
852C2×C22⋊Q8—431no—
853C2×#121—431no—
854C2×#121—431no—
855C2×#120—431no—
856C2×#120—431no—
857C2×C4×Q8—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C22×C4⋊C4—431no—
862C22×C22⋊C4—431no—
863C22×C22⋊C4—431no—
864C22×C22⋊C4—431no—
865C22×C22⋊C4C2×D4311yescharacteristic
866C22×C42—431no—
867C22×C42—431no—
868#400—431no—
869#400—431no—
870#399—431no—
871#399—431no—
872#398—431no—
873#398—431no—
874#398—431no—
875#398—431no—
876#397—431no—
877#397—431no—
878#397—431no—
879#397—431no—
880#397—431no—
881#397C2×D4311yescharacteristic, complemented
882#397C2×D4311yescharacteristic, complemented
883#397C2×D4311yescharacteristic, complemented
884#396—431no—
885#396—431no—
886#396—431no—
887#396C2×D4311yescharacteristic, complemented
888#394—431no—
889#394—431no—
890#394—431no—
891#394—431no—
892#394—431no—
893#394—431no—
894#394—431no—
895#394—431no—
896#394—431no—
897#394—431no—
898#392—431no—
899#392—431no—
900#391—431no—
901#391—431no—
902#390—431no—
903#390—431no—
904#390—431no—
905#390—431no—
906#390—431no—
907#390—431no—
908#390—431no—
909#390—431no—
910#390—431no—
911#390—431no—
912#390—431no—
913#390—431no—
914#390—431no—
915#390—431no—
916#390—431no—
917#390—431no—
918#389—431no—
919#389—431no—
920#389—431no—
921#389—431no—
922#388—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388—431no—
939#388—431no—
940#388—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#388—431no—
946#388—431no—
947#388—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388C2×D4311yescharacteristic, complemented
954#388C2×D4311yescharacteristic, complemented
955#388C2×D4311yescharacteristic, complemented
956#387—431no—
957#387—431no—
958#386—431no—
959#386—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#385—431no—
967#385—431no—
968#385C2×D4311yescharacteristic
969#385C2×D4311yescharacteristic
970#382—431no—
971#380—431no—
972#380—431no—
973#380—431no—
974#380—431no—
975#380—431no—
976#380C2×D4311yescharacteristic
977#379—431no—
978#379—431no—
979#379—431no—
980#379—431no—
981#379C2×D4311yescharacteristic
982#379C2×D4311yescharacteristic
983C4×C4⋊C4—431no—
984C4×C4⋊C4—431no—
985C4×C4⋊C4—431no—
986C4×C4⋊C4—431no—
987C4×C4⋊C4—431no—
988C4×C4⋊C4—431no—
989C4×C22⋊C4—431no—
990C4×C22⋊C4—431no—
991C4×C22⋊C4—431no—
992C4×C22⋊C4—431no—
993C4×C22⋊C4—431no—
994C4×C22⋊C4—431no—
995C4×C22⋊C4—431no—
996C4×C22⋊C4C2×D4311yescharacteristic
997C43—431no—
998C43#3502511yescharacteristic, complemented, Sylow
999C25—431no—
1000C25C22×D4311yescharacteristic
1001C22×Q8—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4—864no—
1012C22×D4—1722no—
1013C22×D4—1722no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4C22×D4311yescharacteristic
1021C23×C4C22×D4311yescharacteristic
1022#126—42no—
1023#126—1722no—
1024#125—1722no—
1025#124—1722no—
1026#124—1722no—
1027#123—1722no—
1028#123—1722no—
1029C22⋊Q8—864no—
1030C22⋊Q8—1722no—
1031#121—1722no—
1032#121—1722no—
1033#120—864no—
1034#120—864no—
1035C4×Q8—1722no—
1036C4×D4—864no—
1037C4×D4—864no—
1038C4×D4—864no—
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—431no—
1046C2×C4⋊C4—431no—
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—1722no—
1062C2×C4⋊C4C22×D4311yescharacteristic
1063C2×C4⋊C4C22×D4311yescharacteristic
1064C2×C4⋊C4C22×D4311yescharacteristic
1065C2×C4⋊C4C22×D4311yescharacteristic
1066C2×C4⋊C4C22×D4311yescharacteristic
1067C2×C4⋊C4C22×D4311yescharacteristic
1068C2×C22⋊C4—42no—
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—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—864no—
1112C2×C22⋊C4—864no—
1113C2×C22⋊C4—1722no—
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×C22⋊C4C22×D4311yescharacteristic
1123C2×C22⋊C4C22×D4311yescharacteristic
1124C2×C22⋊C4C22×D4311yescharacteristic
1125C2×C22⋊C4C22×D4311yescharacteristic
1126C2×C22⋊C4C22×D4311yescharacteristic
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
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—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—1722no—
1146C2×C42—1722no—
1147C2×C42C22×D4311yescharacteristic
1148C2×C42C22×D4311yescharacteristic
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#95—431no—
1173#95C22×D4311yescharacteristic
1174#95C22×D4311yescharacteristic
1175#95C22×D4311yescharacteristic
1176#95C22×D4311yescharacteristic
1177#95C22×D4311yescharacteristic
1178#95C22×D4311yescharacteristic
1179#95C22×D4311yescharacteristic
1180#95C22×D4311yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—431no—
1189C24—431no—
1190C24—431no—
1191C24—862no—
1192C24—862no—
1193C24—862no—
1194C24—1721no—
1195C24—1721no—
1196C24—1721no—
1197C24—1721no—
1198C24C23×D4311yescharacteristic
1199C24C23×D4311yescharacteristic
1200C24C23×D4311yescharacteristic
1201C2×Q8—862no—
1202C2×Q8—862no—
1203C2×Q8—862no—
1204C2×D4—434no—
1205C2×D4—862no—
1206C2×D4—862no—
1207C2×D4—862no—
1208C2×D4—862no—
1209C2×D4—862no—
1210C2×D4—862no—
1211C2×D4—862no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—1721no—
1220C2×D4—1721no—
1221C2×D4—1721no—
1222C2×D4—1721no—
1223C2×D4—1721no—
1224C2×D4—1721no—
1225C2×D4—1721no—
1226C2×D4—1721no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—17216no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—431no—
1239C22×C4—434no—
1240C22×C4—431no—
1241C22×C4—431no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—434no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—1721no—
1263C22×C4—1721no—
1264C22×C4—1721no—
1265C22×C4—1721no—
1266C22×C4—1721no—
1267C22×C4—1721no—
1268C22×C4—1721no—
1269C22×C4C23×D4311yescharacteristic
1270C22×C4C23×D4311yescharacteristic
1271C22×C4C23×D4311yescharacteristic
1272C22×C4C23×D4311yescharacteristic
1273C22×C4C23×D4311yescharacteristic
1274C22×C4C23×D4311yescharacteristic
1275C22×C4C23×D4311yescharacteristic
1276C22×C4C23×D4311yescharacteristic
1277C22×C4C23×D4311yescharacteristic
1278C22×C4C23×D4311yescharacteristic
1279C22×C4C23×D4311yescharacteristic
1280C22×C4C23×D4311yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—862no—
1288C4⋊C4—862no—
1289C4⋊C4—862no—
1290C4⋊C4—862no—
1291C4⋊C4—862no—
1292C4⋊C4—862no—
1293C4⋊C4—862no—
1294C4⋊C4—862no—
1295C4⋊C4—862no—
1296C4⋊C4—862no—
1297C4⋊C4—862no—
1298C4⋊C4—1721no—
1299C4⋊C4—1721no—
1300C4⋊C4—1721no—
1301C4⋊C4—1721no—
1302C4⋊C4—1721no—
1303C4⋊C4—1721no—
1304C4⋊C4—1721no—
1305C4⋊C4—1721no—
1306C4⋊C4—1721no—
1307C4⋊C4—1721no—
1308C4⋊C4—1721no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—862no—
1326C22⋊C4—862no—
1327C22⋊C4—862no—
1328C22⋊C4—862no—
1329C22⋊C4—862no—
1330C22⋊C4—862no—
1331C22⋊C4—862no—
1332C22⋊C4—862no—
1333C22⋊C4—862no—
1334C22⋊C4—862no—
1335C22⋊C4—862no—
1336C22⋊C4—862no—
1337C22⋊C4—862no—
1338C22⋊C4—862no—
1339C22⋊C4—862no—
1340C22⋊C4—862no—
1341C22⋊C4—862no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
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⋊C4—1721no—
1360C22⋊C4—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C42—22no—
1368C42—41no—
1369C42—862no—
1370C42—862no—
1371C42—862no—
1372C42—862no—
1373C42—862no—
1374C42—862no—
1375C42—862no—
1376C42—1721no—
1377C42—1721no—
1378C42—1721no—
1379C42—1721no—
1380C42—1721no—
1381C42—1721no—
1382C42—1721no—
1383C42—1721no—
1384C23—21no—
1385C23—21no—
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—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—44no—
1403C23—44no—
1404C23—44no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23—432no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—3442no—
1431C23—3442no—
1432C23—3442no—
1433C23—3442no—
1434C23—1724no—
1435C23—1724no—
1436C23—1724no—
1437C23#41×D4312yes—
1438C23#41×D4312yes—
1439C23#41×D4312yes—
1440C23C24×D4311yescharacteristic
1441Q8—1724no—
1442D4—868no—
1443D4—3442no—
1444D4—3442no—
1445D4—3442no—
1446D4—3442no—
1447D4—1724no—
1448D4—1724no—
1449D4—1724no—
1450D4—1724no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—82no—
1488C2×C4—432no—
1489C2×C4—432no—
1490C2×C4—432no—
1491C2×C4—432no—
1492C2×C4—432no—
1493C2×C4—432no—
1494C2×C4—432no—
1495C2×C4—868no—
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—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—3442no—
1529C2×C4—1724no—
1530C2×C4—1724no—
1531C2×C4—1724no—
1532C2×C4—1724no—
1533C2×C4#1306337012yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—88no—
1555C22—862no—
1556C22—862no—
1557C22—862no—
1558C22—3448no—
1559C22—1721no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22#1458343214yes—
1578C22C2×#41×D4311yescharacteristic
1579C22C2×#41×D4311yescharacteristic
1580C22C2×#41×D4311yescharacteristic
1581C22H(5,𝔽2)×D4311yescharacteristic
1582C22H(5,𝔽2)×D4311yescharacteristic
1583C22C2×#1306337011yescharacteristic
1584C22#1458373511yescharacteristic
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—434no—
1598C4—862no—
1599C4—862no—
1600C4—862no—
1601C4—862no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C2—24no—
1611C2—81no—
1612C2—81no—
1613C2—3441no—
1614C2—3441no—
1615C2—1722no—
1616C2C2×#1458343211yescharacteristic
1617C2#538×D4311yescharacteristic
1618C2#1914801311yescharacteristic
1619C2#1914842611yescharacteristic
1620C2#1914846311yescharacteristic
1621C2#1914854511yescharacteristic
1622C2#1914861611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2480C2
prime radical#19137950C2
hypercenter#2480D43
hypocenterC43#35025
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #19142964C2semidirect
2. #19142960C2semidirect
3. #19142922C2semidirect
4. #19142893C2semidirect
5. #19140635C2semidirect
6. #19140633C2semidirect
7. #19140590C2semidirect
8. #19140588C2semidirect
9. #19140090C2semidirect
10. #19140089C2semidirect
11. #19139661C2semidirect
12. #19139653C2semidirect
13. #19139185C2semidirect
14. #19138942C2semidirect
15. #19138841C2semidirect
16. #19138386C2semidirect
17. #19138318C2semidirect
18. #19138244C2semidirect
19. #19138156C2semidirect
20. #19138059C2semidirect
21. #19138057C2semidirect
22. #19138045C2semidirect
24. #19137252C2semidirect
25. #19137250C2semidirect
26. #19137192C2semidirect
27. #19137191C2semidirect
28. #19137127C2semidirect
29. C2×#14582799C2semidirect
30. C4×(C22⋊D43)⋊C4C2semidirect
31. C43×#2480C2semidirect
33. C2×#13063319C22semidirect
34. C2×#13063315C22semidirect
37. C2×#13063310C22semidirect
38. C2×#13063307C22semidirect
39. C2×#13063303C22semidirect
45. C2×#13063290C22semidirect
54. C2×C42×D43C22semidirect
55. #14582840C22semidirect
56. #14582839C22semidirect
57. #14582835C22semidirect
58. #14582834C22semidirect
59. #14582833C22semidirect
60. #14582832C22semidirect
61. #14582830C22semidirect
62. #14582830C22semidirect
63. #14582828C22semidirect
64. #14582828C22semidirect
65. #14582828C22semidirect
66. #14582828C22semidirect
67. #14582827C22semidirect
68. #14582823C22semidirect
69. #14582823C22semidirect
70. #14582821C22semidirect
71. #14582817C22semidirect
72. #14582816C22semidirect
75. #14582815C22semidirect
80. #14582814C22semidirect
83. #14582803C22semidirect
84. #14582803C22semidirect
85. #14582800C22semidirect
86. #14582800C22semidirect
99. #14582799C22semidirect
100. #14582799C22semidirect
101. #14582796C22semidirect
102. #14582794C22semidirect
103. #14582794C22semidirect
104. #14582794C22semidirect
105. #14582793C22semidirect
106. #14582793C22semidirect
107. #14582793C22semidirect
108. #14582793C22semidirect
109. #14582793C22semidirect
110. #14582793C22semidirect
111. #14582793C22semidirect
112. #14582792C22semidirect
113. #14582791C22semidirect
114. #14582791C22semidirect
115. #14582791C22semidirect
116. #14582791C22semidirect
117. #14582790C22semidirect
118. #14582790C22semidirect
119. #14582790C22semidirect
120. #14582789C22semidirect
121. #14582789C22semidirect
122. #14582789C22semidirect
123. #14582789C22semidirect
124. #14582789C22semidirect
125. #14582789C22semidirect
126. #14582789C22semidirect
127. #14582788C22semidirect
128. #14582788C22semidirect
129. #14582788C22semidirect
130. #14582787C22semidirect
131. #14582787C22semidirect
132. #14582787C22semidirect
133. #14582787C22semidirect
134. #14582787C22semidirect
135. #14582787C22semidirect
136. #14582784C22semidirect
137. #14582780C22semidirect
139. #14582777C22semidirect
140. #14582777C22semidirect
141. #14582777C22semidirect
143. #14582775C22semidirect
144. #14582775C22semidirect
145. #14582775C22semidirect
148. #14582763C22semidirect
150. #14582758C22semidirect
158. C4⋊C4×Dic43C22semidirect
159. C4×Dic43⋊C4C22semidirect
160. #14582750C22semidirect
161. #14582750C22semidirect
162. #14582750C22semidirect
163. #14582750C22semidirect
168. C4×(C2×D43)⋊C4C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. C42×Dic43C22semidirect
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
814. #2480D43semidirect
845. C2×#126C2×D43semidirect
881. #397C2×D43semidirect
882. #397C2×D43semidirect
883. #397C2×D43semidirect
887. #396C2×D43semidirect
953. #388C2×D43semidirect
954. #388C2×D43semidirect
955. #388C2×D43semidirect
998. C43#35025semidirect

Maximal subgroups

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

subgroupindex
#191429642
#191429602
#191429222
#191428932
#191406352
#191406332
#191405902
#191405882
#191400902
#191400892
#191396612
#191396532
#191391852
#191389422
#191388412
#191383862
#191383182
#191382442
#191381562
#191380592
#191380572
#191380452
#191379502
#191372522
#191372502
#191371922
#191371912
#191371272
C2×#145827992
C4×(C22⋊D43)⋊C42
C43×#24802
#3502543