Finite Group Databasebeta

← #25303780

Subgroups — #25303780

Order 11008.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142881C211yesmaximal, characteristic, complemented
2#19142878C211yesmaximal, characteristic
3#19141790C211yesmaximal, characteristic, complemented
4#19141723C211yesmaximal, characteristic, complemented
5#19141719C211yesmaximal, characteristic, complemented
6#19141717C211yesmaximal, characteristic, complemented
7#19141705C211yesmaximal, characteristic, complemented
8#19141429C211yesmaximal, characteristic, complemented
9#19141429C211yesmaximal, characteristic, complemented
10#19141224C211yesmaximal, characteristic, complemented
11#19141220C211yesmaximal, characteristic, complemented
12#19141093C211yesmaximal, characteristic, complemented
13#19141089C211yesmaximal, characteristic, complemented
14#19141083C211yesmaximal, characteristic, complemented
15#19141079C211yesmaximal, characteristic, complemented
16#19140849C211yesmaximal, characteristic, complemented
17#19140847C211yesmaximal, characteristic, complemented
18#19140710C211yesmaximal, characteristic, complemented
19#19140527C211yesmaximal, characteristic, complemented
20#19138860C211yesmaximal, characteristic, complemented
21#19138859C211yesmaximal, characteristic, complemented
22#19138719C211yesmaximal, characteristic, complemented
23#19138714C211yesmaximal, characteristic, complemented
24#19138409C211yesmaximal, characteristic, complemented
25#19138399C211yesmaximal, characteristic, complemented
26#19138062C211yesmaximal, characteristic, complemented
27#19138058C211yesmaximal, characteristic, complemented
28#19137322C211yesmaximal, characteristic, complemented
29#19137294C211yesmaximal, characteristic, complemented
30#380×D43C211yesmaximal, characteristic, complemented
31C43×#2747C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic, complemented
34C2×#13063319C2211yescharacteristic, complemented
35C2×#13063311C2211yescharacteristic
36C2×#13063311C2211yescharacteristic
37C2×#13063307C2211yescharacteristic
38C2×#13063307C2211yescharacteristic
39C2×#13063305C2211yescharacteristic
40C2×#13063305C2211yescharacteristic, complemented
41C2×#13063303C2211yescharacteristic
42C2×#13063303C2211yescharacteristic
43C2×#13063303C2211yescharacteristic
44C2×#13063303C2211yescharacteristic, complemented
45C2×#13063302C2211yescharacteristic
46C2×#13063300C2211yescharacteristic
47C2×#13063300C2211yescharacteristic
48C2×#13063299C2211yescharacteristic
49C2×#13063295C2211yescharacteristic
50C2×#13063295C2211yescharacteristic
51C2×C4×D172C2211yescharacteristic
52C2×#13063287C2211yescharacteristic
53C2×C4⋊C4×D43C2211yescharacteristic
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C22⋊C4×D43C2211yescharacteristic
56C2×C22⋊C4×D43C2211yescharacteristic
57#14582841C2211yescharacteristic, complemented
58#14582841C2211yescharacteristic, complemented
59#14582840C2211yescharacteristic, complemented
60#14582837C2211yescharacteristic, complemented
61#14582836C2211yescharacteristic
62#14582836C2211yescharacteristic, complemented
63#14582834C2211yescharacteristic
64#14582834C2211yescharacteristic, complemented
65#14582832C2211yescharacteristic, complemented
66#14582832C2211yescharacteristic, complemented
67#14582831C2211yescharacteristic, complemented
68#14582830C2211yescharacteristic, complemented
69#14582828C2211yescharacteristic, complemented
70#14582828C2211yescharacteristic, complemented
71#14582828C2211yescharacteristic, complemented
72#14582828C2211yescharacteristic, complemented
73#14582824C2211yescharacteristic
74#14582824C2211yescharacteristic
75#14582823C2211yescharacteristic, complemented
76#14582821C2211yescharacteristic, complemented
77#14582821C2211yescharacteristic, complemented
78#14582821C2211yescharacteristic, complemented
79#14582820C2211yescharacteristic, complemented
80#14582820C2211yescharacteristic, complemented
81#14582820C2211yescharacteristic, complemented
82#14582820C2211yescharacteristic, complemented
83#14582819C2211yescharacteristic, complemented
84#14582819C2211yescharacteristic, complemented
85#14582817C2211yescharacteristic
86#14582817C2211yescharacteristic
87#14582817C2211yescharacteristic, complemented
88#14582816C2211yescharacteristic
89#14582816C2211yescharacteristic
90#14582816C2211yescharacteristic, complemented
91#14582815C2211yescharacteristic
92#14582815C2211yescharacteristic
93#14582814C2211yescharacteristic
94#14582814C2211yescharacteristic
95#14582812C2211yescharacteristic
96#14582812C2211yescharacteristic
97#14582812C2211yescharacteristic, complemented
98#14582812C2211yescharacteristic, complemented
99#14582805C2211yescharacteristic, complemented
100#14582803C2211yescharacteristic, complemented
101#14582801C2211yescharacteristic
102#14582800C2211yescharacteristic
103#14582798C2211yescharacteristic, complemented
104#14582797C2211yescharacteristic, complemented
105#14582796C2211yescharacteristic, complemented
106#14582796C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic
108#14582791C2211yescharacteristic
109#14582791C2211yescharacteristic
110#14582791C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic
112#14582790C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic, complemented
114#14582788C2211yescharacteristic
115#14582788C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic
117#14582786C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582786C2211yescharacteristic, complemented
120#14582785C2211yescharacteristic, complemented
121#14582782C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582780C2211yescharacteristic, complemented
125#14582777C2211yescharacteristic
126#14582777C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582777C2211yescharacteristic, complemented
138#14582777C2211yescharacteristic, complemented
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic
141#14582773C2211yescharacteristic
142#14582773C2211yescharacteristic
143#14582773C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic, complemented
146#14582773C2211yescharacteristic, complemented
147#14582772C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic, complemented
151#14582770C2211yescharacteristic, complemented
152#14582759C2211yescharacteristic
153#14582758C2211yescharacteristic
154#14582758C2211yescharacteristic
155#14582758C2211yescharacteristic
156#14582758C2211yescharacteristic
157#14582758C2211yescharacteristic
158#14582757C2211yescharacteristic
159#14582757C2211yescharacteristic
160#14582757C2211yescharacteristic
161#14582756C2211yescharacteristic
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic
169#14582746C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#400C2211yescharacteristic, complemented
173C43×#400C2211yescharacteristic, complemented
174C43×#398C2211yescharacteristic, complemented
175C43×#398C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic
177C43×#397C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#388C2211yescharacteristic
180C43×#387C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#387C2211yescharacteristic, complemented
184C43×#385C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43—24no—
200C22×C4×D43—42no—
201C22×C4×D43—42no—
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
212#13063320—42no—
213#13063319—42no—
214#13063311—42no—
215#13063311—42no—
216#13063307—42no—
217#13063307—42no—
218#13063305—42no—
219#13063305—42no—
220#13063303—24no—
221#13063303—42no—
222#13063303—42no—
223#13063303—42no—
224#13063302—42no—
225#13063300—24no—
226#13063300—42no—
227#13063299—42no—
228#13063295—42no—
229#13063295—42no—
230C4×D172—42no—
231#13063287—42no—
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C4⋊C4×D43—42no—
259C4⋊C4×D43—42no—
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C22⋊C4×D43—42no—
301C22⋊C4×D43—42no—
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
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×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊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×C42×C43C2311yescharacteristic
352C2×C42×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
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43C2411yescharacteristic
370C23×D43—22no—
371C23×D43—22no—
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—41no—
376C23×D43—41no—
377C23×D43C2411yescharacteristic
378C23×D43C2411yescharacteristic
379C23×D43C2411yescharacteristic
380C23×D43C2411yescharacteristic
381C22×C4×C43—22no—
382C22×C4×C43—22no—
383C22×C4×C43—41no—
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
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
398C2×C22⋊D43—22no—
399C2×C22⋊D43—22no—
400C2×C22⋊D43—41no—
401C2×C22⋊D43—41no—
402C2×C22⋊D43—41no—
403C2×C22⋊D43—41no—
404C22×Dic43—22no—
405C22×Dic43—22no—
406C22×Dic43—41no—
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C2×D172—22no—
420C2×D172—22no—
421C2×D172—22no—
422C2×D172—22no—
423C2×D172—22no—
424C2×D172—22no—
425C2×D172—22no—
426C2×D172—22no—
427C2×D172—22no—
428C2×D172—41no—
429C2×D172—41no—
430C2×D172—41no—
431C2×D172—41no—
432C2×D172—41no—
433C2×D172—41no—
434C2×C4×D43—22no—
435C2×C4×D43—22no—
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—41no—
446C2×C4×D43—41no—
447C2×C4×D43—41no—
448C2×C4×D43—41no—
449C2×C4×D43—41no—
450C2×C4×D43—41no—
451C2×C4×D43—41no—
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—416no—
464C2×C4×D43#4114yes—
465C2×Dic86—22no—
466C2×Dic86—41no—
467C2×Dic86—41no—
468C2×Dic86—41no—
469C2×Dic86—41no—
470C2×Dic86—41no—
471C2×Dic86—41no—
472C2×Dic86—41no—
473C2×Dic86—41no—
474C4⋊C4×C43—22no—
475C4⋊C4×C43—22no—
476C4⋊C4×C43—22no—
477C4⋊C4×C43—22no—
478C4⋊C4×C43—41no—
479C4⋊C4×C43—41no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C22⋊C4×C43—22no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C42×C43—41no—
491C42×C43—41no—
492C22⋊Dic43—22no—
493C22⋊Dic43—22no—
494C22⋊Dic43—22no—
495C22⋊Dic43—41no—
496(C2×D43)⋊C4—22no—
497(C2×D43)⋊C4—22no—
498(C2×D43)⋊C4—22no—
499(C2×D43)⋊C4—22no—
500(C2×D43)⋊C4—22no—
501(C2×D43)⋊C4—22no—
502(C2×D43)⋊C4—22no—
503(C2×D43)⋊C4—22no—
504(C2×D43)⋊C4—22no—
505(C2×D43)⋊C4—22no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
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—22no—
533C4⋊Dic43—22no—
534C4⋊Dic43—41no—
535C4⋊Dic43—41no—
536C4⋊Dic43—41no—
537C4⋊Dic43—41no—
538C4⋊Dic43—41no—
539C4⋊Dic43—41no—
540C4⋊Dic43—41no—
541C4⋊Dic43—41no—
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—
557Dic43⋊C4—41no—
558C4×Dic43—41no—
559C4×Dic43—41no—
560C4×Dic43—41no—
561C4×Dic43—41no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43H(5,𝔽2)12yes—
569C23×C43C2511yescharacteristic
570C22×D43—21no—
571C22×D43—21no—
572C22×D43—21no—
573C22×D43—21no—
574C22×D43—28no—
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—21no—
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—44no—
596C22×D43—44no—
597C22×D43—44no—
598C22×D43—44no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43C2×#4112yes—
602C22×D43H(5,𝔽2)12yes—
603C22×D432−1+412yes—
604C22×D432−1+412yes—
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—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—44no—
646C2×C4×C43C2×#4112yes—
647C2×C4×C43H(5,𝔽2)12yes—
648C22⋊D43—82no—
649C22⋊D43—82no—
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—21no—
683C2×Dic43—21no—
684C2×Dic43—44no—
685C2×Dic43C2×#4112yes—
686C2×Dic43H(5,𝔽2)12yes—
687D172—44no—
688D172—44no—
689D172—82no—
690D172—82no—
691D172—82no—
692C4×D43—28no—
693C4×D43—44no—
694C4×D43—44no—
695C4×D43—44no—
696C4×D43—82no—
697C4×D43—82no—
698C4×D43—82no—
699C4×D43—82no—
700C4×D43—82no—
701C4×D43—82no—
702Dic86—82no—
703Dic86—82no—
704Dic86—82no—
705#36729—431nomaximal, Sylow
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43C22×#4111yescharacteristic
714C22×C43C2×H(5,𝔽2)11yescharacteristic
715C22×C43C2×H(5,𝔽2)11yescharacteristic
716C22×C43C2×H(5,𝔽2)11yescharacteristic
717C22×C43C2×H(5,𝔽2)11yescharacteristic
718C22×C43C2×2−1+411yescharacteristic
719C22×C43C2×2−1+411yescharacteristic
720C2×D43—22no—
721C2×D43—22no—
722C2×D43—22no—
723C2×D43—22no—
724C2×D43—22no—
725C2×D43—22no—
726C2×D43—22no—
727C2×D43—22no—
728C2×D43—22no—
729C2×D43—416no—
730C2×D43—41no—
731C2×D43—41no—
732C2×D43—41no—
733C2×D43—41no—
734C2×D43—41no—
735C2×D43—41no—
736C2×D43—41no—
737C2×D43—41no—
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#54214yes—
749C4×C43—22no—
750C4×C43—22no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755C4×C43—41no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763Dic43—22no—
764Dic43—22no—
765Dic43—41no—
766Dic43—41no—
767Dic43—41no—
768Dic43—41no—
769Dic43—41no—
770Dic43—41no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775#2848—431no—
776#2847—431no—
777#2747—431no—
778#2747D4311yescharacteristic, complemented
779#2742—431no—
780#2742—431no—
781#2741—431no—
782#2741—431no—
783#2717—431no—
784#2717—431no—
785#2702—431no—
786#2702—431no—
787#2692—431no—
788#2692—431no—
789#2691—431no—
790#2691—431no—
791#2672—431no—
792#2672—431no—
793#2659—431no—
794#2639—431no—
795#2481—431no—
796#2481—431no—
797#2472—431no—
798#2472—431no—
799#2449—431no—
800#2449—431no—
801#2418—431no—
802#2418—431no—
803#2329—431no—
804#2325—431no—
805C2×#380—431no—
806C2×C43—42no—
807C2×C43C2×#54211yescharacteristic
808C2×C43#349011yescharacteristic
809C2×C43#349211yescharacteristic
810C2×C43#353611yescharacteristic
811C2×C43#353611yescharacteristic
812C2×C43#353711yescharacteristic
813C2×C43#353811yescharacteristic
814D43—24no—
815D43—42no—
816D43—81no—
817D43—81no—
818C24×C4—431no—
819C2×#126—431no—
820C2×#126—431no—
821C2×#124—431no—
822C2×#124—431no—
823C2×#123—431no—
824C2×#123—431no—
825C2×C22⋊Q8—431no—
826C2×C22⋊Q8—431no—
827C2×C22⋊Q8—431no—
828C2×C22⋊Q8—431no—
829C2×C22⋊Q8—431no—
830C2×C22⋊Q8—431no—
831C2×C22⋊Q8—431no—
832C2×#121—431no—
833C2×#121—431no—
834C2×#121—431no—
835C2×#120—431no—
836C2×#120—431no—
837C2×C4×D4—431no—
838C2×C4×D4—431no—
839C22×C4⋊C4—431no—
840C22×C4⋊C4—431no—
841C22×C22⋊C4—431no—
842C22×C22⋊C4—431no—
843#400—431no—
844#400—431no—
845#400—431no—
846#400—431no—
847#400C2×D4311yescharacteristic, complemented
848#400C2×D4311yescharacteristic, complemented
849#399—431no—
850#399—431no—
851#399—431no—
852#399—431no—
853#398—431no—
854#398—431no—
855#398—431no—
856#398—431no—
857#398C2×D4311yescharacteristic, complemented
858#398C2×D4311yescharacteristic, complemented
859#397—431no—
860#397—431no—
861#397—431no—
862#397—431no—
863#397—431no—
864#397—431no—
865#397C2×D4311yescharacteristic
866#397C2×D4311yescharacteristic
867#396—431no—
868#396—431no—
869#396—431no—
870#396—431no—
871#395—431no—
872#395—431no—
873#395—431no—
874#395—431no—
875#395—431no—
876#395—431no—
877#394—431no—
878#394—431no—
879#394—431no—
880#394—431no—
881#394—431no—
882#394—431no—
883#394—431no—
884#394—431no—
885#394—431no—
886#394—431no—
887#393—431no—
888#393—431no—
889#393—431no—
890#393—431no—
891#391—431no—
892#391—431no—
893#390—431no—
894#390—431no—
895#389—431no—
896#389—431no—
897#389—431no—
898#389—431no—
899#388—431no—
900#388—431no—
901#388—431no—
902#388—431no—
903#388—431no—
904#388—431no—
905#388—431no—
906#388—431no—
907#388—431no—
908#388—431no—
909#388C2×D4311yescharacteristic
910#388C2×D4311yescharacteristic
911#387—431no—
912#387—431no—
913#387—431no—
914#387—431no—
915#387—431no—
916#387—431no—
917#387—431no—
918#387—431no—
919#387C2×D4311yescharacteristic, complemented
920#387C2×D4311yescharacteristic, complemented
921#387C2×D4311yescharacteristic, complemented
922#387C2×D4311yescharacteristic, complemented
923#386—431no—
924#386—431no—
925#386—431no—
926#386—431no—
927#386—431no—
928#386—431no—
929#386—431no—
930#386—431no—
931#386—431no—
932#386—431no—
933#386—431no—
934#386—431no—
935#386—431no—
936#386—431no—
937#386—431no—
938#386—431no—
939#385—431no—
940#385—431no—
941#385—431no—
942#385—431no—
943#385—431no—
944#385—431no—
945#385—431no—
946#385—431no—
947#385—431no—
948#385—431no—
949#385—431no—
950#385C2×D4311yescharacteristic
951#380—431no—
952#380—431no—
953#380—431no—
954#380—431no—
955#380—431no—
956#380—431no—
957#380—431no—
958#380—431no—
959#380—431no—
960#380—431no—
961#380—431no—
962#380—431no—
963#380—431no—
964#380—431no—
965#380C2×D4311yescharacteristic
966#380C2×D4311yescharacteristic
967#379—431no—
968#379—431no—
969C4×C22⋊C4—431no—
970C4×C22⋊C4—431no—
971C2×#95—431no—
972C2×#95—431no—
973C43#3672911yescharacteristic, complemented, Sylow
974C25—431no—
975C22×Q8—431no—
976C22×Q8—431no—
977C22×Q8—431no—
978C22×D4—431no—
979C22×D4—431no—
980C22×D4—431no—
981C22×D4—431no—
982C22×D4—431no—
983C22×D4—431no—
984C22×D4—431no—
985C23×C4—431no—
986C23×C4—431no—
987C23×C4—431no—
988C23×C4—431no—
989C23×C4—431no—
990C23×C4—431no—
991C23×C4—431no—
992C23×C4—431no—
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—431no—
996C23×C4—864no—
997C23×C4—1722no—
998C23×C4—1722no—
999C23×C4C22×D4311yescharacteristic
1000#126—1722no—
1001#126—1722no—
1002#124—1722no—
1003#124—1722no—
1004#123—1722no—
1005#123—1722no—
1006C22⋊Q8—864no—
1007C22⋊Q8—1722no—
1008C22⋊Q8—1722no—
1009C22⋊Q8—1722no—
1010C22⋊Q8—1722no—
1011C22⋊Q8—1722no—
1012C22⋊Q8—1722no—
1013#121—864no—
1014#121—1722no—
1015#121—1722no—
1016#120—1722no—
1017#120—1722no—
1018C4×D4—1722no—
1019C4×D4—1722no—
1020C2×C4⋊C4—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
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—431no—
1046C2×C4⋊C4—1722no—
1047C2×C4⋊C4—1722no—
1048C2×C4⋊C4C22×D4311yescharacteristic
1049C2×C4⋊C4C22×D4311yescharacteristic
1050C2×C4⋊C4C22×D4311yescharacteristic
1051C2×C4⋊C4C22×D4311yescharacteristic
1052C2×C4⋊C4C22×D4311yescharacteristic
1053C2×C4⋊C4C22×D4311yescharacteristic
1054C2×C4⋊C4C22×D4311yescharacteristic
1055C2×C4⋊C4C22×D4311yescharacteristic
1056C2×C4⋊C4C22×D4311yescharacteristic
1057C2×C4⋊C4C22×D4311yescharacteristic
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—1722no—
1099C2×C22⋊C4—1722no—
1100C2×C22⋊C4C22×D4311yescharacteristic
1101C2×C22⋊C4C22×D4311yescharacteristic
1102C2×C22⋊C4C22×D4311yescharacteristic
1103C2×C22⋊C4C22×D4311yescharacteristic
1104C2×C22⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4C22×D4311yescharacteristic
1106C2×C42—431no—
1107C2×C42—431no—
1108C2×C42—431no—
1109C2×C42—431no—
1110C2×C42C22×D4311yescharacteristic
1111C2×C42C22×D4311yescharacteristic
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#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95C22×D4311yescharacteristic
1141#95C22×D4311yescharacteristic
1142#95C22×D4311yescharacteristic
1143#95C22×D4311yescharacteristic
1144#95C22×D4311yescharacteristic
1145#95C22×D4311yescharacteristic
1146#95C22×D4311yescharacteristic
1147#95C22×D4311yescharacteristic
1148#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156C24—431no—
1157C24—431no—
1158C24—431no—
1159C24—431no—
1160C24—862no—
1161C24—862no—
1162C24—862no—
1163C24—862no—
1164C24—862no—
1165C24—1721no—
1166C24—1721no—
1167C24C23×D4311yescharacteristic
1168C2×Q8—862no—
1169C2×Q8—1721no—
1170C2×Q8—1721no—
1171C2×Q8—1721no—
1172C2×Q8—1721no—
1173C2×Q8—1721no—
1174C2×Q8—1721no—
1175C2×Q8—1721no—
1176C2×Q8—1721no—
1177C2×D4—862no—
1178C2×D4—862no—
1179C2×D4—862no—
1180C2×D4—862no—
1181C2×D4—862no—
1182C2×D4—862no—
1183C2×D4—862no—
1184C2×D4—862no—
1185C2×D4—862no—
1186C2×D4—862no—
1187C2×D4—862no—
1188C2×D4—1721no—
1189C2×D4—1721no—
1190C2×D4—1721no—
1191C2×D4—1721no—
1192C2×D4—1721no—
1193C2×D4—1721no—
1194C2×D4—1721no—
1195C2×D4—1721no—
1196C2×D4—1721no—
1197C2×D4—1721no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—431no—
1202C22×C4—431no—
1203C22×C4—434no—
1204C22×C4—431no—
1205C22×C4—431no—
1206C22×C4—431no—
1207C22×C4—431no—
1208C22×C4—431no—
1209C22×C4—431no—
1210C22×C4—431no—
1211C22×C4—431no—
1212C22×C4—431no—
1213C22×C4—431no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
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—1721no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—1721no—
1242C22×C4—1721no—
1243C22×C4—1721no—
1244C22×C4—1721no—
1245C22×C4—17216no—
1246C22×C4—1721no—
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C22×C4C23×D4311yescharacteristic
1255C22×C4C23×D4311yescharacteristic
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C22×C4C23×D4311yescharacteristic
1259C22×C4C23×D4311yescharacteristic
1260C22×C4C23×D4311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—862no—
1274C4⋊C4—862no—
1275C4⋊C4—862no—
1276C4⋊C4—862no—
1277C4⋊C4—862no—
1278C4⋊C4—862no—
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—
1295C4⋊C4—1721no—
1296C4⋊C4—1721no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
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—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—862no—
1316C22⋊C4—862no—
1317C22⋊C4—862no—
1318C22⋊C4—862no—
1319C22⋊C4—862no—
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—
1343C42—41no—
1344C42—41no—
1345C42—1721no—
1346C42—1721no—
1347C42—1721no—
1348C42—1721no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—432no—
1356C23—432no—
1357C23—432no—
1358C23—432no—
1359C23—868no—
1360C23—861no—
1361C23—861no—
1362C23—861no—
1363C23—861no—
1364C23—861no—
1365C23—861no—
1366C23—861no—
1367C23—861no—
1368C23—861no—
1369C23—861no—
1370C23—861no—
1371C23—861no—
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—1724no—
1385C23—1724no—
1386C23—1724no—
1387C23—1724no—
1388C23—1724no—
1389C23—1724no—
1390C23#1306337112yes—
1391C23C24×D4311yescharacteristic
1392Q8—3442no—
1393Q8—3442no—
1394Q8—3442no—
1395D4—3442no—
1396D4—3442no—
1397D4—3442no—
1398D4—3442no—
1399D4—3442no—
1400D4—1724no—
1401D4—1724no—
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—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—44no—
1443C2×C4—432no—
1444C2×C4—432no—
1445C2×C4—868no—
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—861no—
1465C2×C4—861no—
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—3442no—
1481C2×C4—3442no—
1482C2×C4—3442no—
1483C2×C4—3442no—
1484C2×C4—3442no—
1485C2×C4—3442no—
1486C2×C4—1724no—
1487C2×C4—1724no—
1488C2×C4—1724no—
1489C2×C4—1724no—
1490C2×C4#41×D4312yes—
1491C2×C4#1306337112yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—434no—
1500C22—862no—
1501C22—862no—
1502C22—862no—
1503C22—862no—
1504C22—862no—
1505C22—862no—
1506C22—862no—
1507C22—862no—
1508C22—862no—
1509C22—17216no—
1510C22—1721no—
1511C22—1721no—
1512C22—1721no—
1513C22—1721no—
1514C22—1721no—
1515C22—1721no—
1516C22—1721no—
1517C22—1721no—
1518C22—1721no—
1519C22—1721no—
1520C22—1721no—
1521C22—1721no—
1522C22—1721no—
1523C22—1721no—
1524C22—1721no—
1525C22—1721no—
1526C22—1721no—
1527C22—1721no—
1528C22C2×#41×D4311yescharacteristic
1529C22H(5,𝔽2)×D4311yescharacteristic
1530C22H(5,𝔽2)×D4311yescharacteristic
1531C22C2×#1306337111yescharacteristic
1532C22C2×#1306337111yescharacteristic
1533C222−1+4×D4311yescharacteristic
1534C222−1+4×D4311yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—862no—
1550C4—862no—
1551C4—1721no—
1552C4—1721no—
1553C4—1721no—
1554C4—1721no—
1555C4—1721no—
1556C4—1721no—
1557C4—1721no—
1558C4—1721no—
1559C4—1721no—
1560C4—1721no—
1561C2—42no—
1562C2—864no—
1563C2—3441no—
1564C2—3441no—
1565C2—1722no—
1566C2#542×D4311yescharacteristic
1567C2#1914827911yescharacteristic
1568C2#1914829511yescharacteristic
1569C2#1914881411yescharacteristic
1570C2#1914881911yescharacteristic
1571C2#1914883111yescharacteristic
1572C2#1914884311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2747C2
prime radical#19142878C2
hypercenter#2747D43
hypocenterC43#36729
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2747

Complements

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

NH ≅ G/Ntype
1. #19142881C2semidirect
3. #19141790C2semidirect
4. #19141723C2semidirect
5. #19141719C2semidirect
6. #19141717C2semidirect
7. #19141705C2semidirect
8. #19141429C2semidirect
9. #19141429C2semidirect
10. #19141224C2semidirect
11. #19141220C2semidirect
12. #19141093C2semidirect
13. #19141089C2semidirect
14. #19141083C2semidirect
15. #19141079C2semidirect
16. #19140849C2semidirect
17. #19140847C2semidirect
18. #19140710C2semidirect
19. #19140527C2semidirect
20. #19138860C2semidirect
21. #19138859C2semidirect
22. #19138719C2semidirect
23. #19138714C2semidirect
24. #19138409C2semidirect
25. #19138399C2semidirect
26. #19138062C2semidirect
27. #19138058C2semidirect
28. #19137322C2semidirect
29. #19137294C2semidirect
30. #380×D43C2semidirect
31. C43×#2747C2semidirect
33. C2×#13063320C22semidirect
34. C2×#13063319C22semidirect
40. C2×#13063305C22semidirect
44. C2×#13063303C22semidirect
57. #14582841C22semidirect
58. #14582841C22semidirect
59. #14582840C22semidirect
60. #14582837C22semidirect
62. #14582836C22semidirect
64. #14582834C22semidirect
65. #14582832C22semidirect
66. #14582832C22semidirect
67. #14582831C22semidirect
68. #14582830C22semidirect
69. #14582828C22semidirect
70. #14582828C22semidirect
71. #14582828C22semidirect
72. #14582828C22semidirect
75. #14582823C22semidirect
76. #14582821C22semidirect
77. #14582821C22semidirect
78. #14582821C22semidirect
79. #14582820C22semidirect
80. #14582820C22semidirect
81. #14582820C22semidirect
82. #14582820C22semidirect
83. #14582819C22semidirect
84. #14582819C22semidirect
87. #14582817C22semidirect
90. #14582816C22semidirect
97. #14582812C22semidirect
98. #14582812C22semidirect
99. #14582805C22semidirect
100. #14582803C22semidirect
103. #14582798C22semidirect
104. #14582797C22semidirect
105. #14582796C22semidirect
106. #14582796C22semidirect
110. #14582791C22semidirect
112. #14582790C22semidirect
113. #14582789C22semidirect
115. #14582788C22semidirect
117. #14582786C22semidirect
118. #14582786C22semidirect
119. #14582786C22semidirect
120. #14582785C22semidirect
121. #14582782C22semidirect
122. #14582781C22semidirect
123. #14582781C22semidirect
124. #14582780C22semidirect
137. #14582777C22semidirect
138. #14582777C22semidirect
145. #14582773C22semidirect
146. #14582773C22semidirect
150. #14582770C22semidirect
151. #14582770C22semidirect
172. C43×#400C22semidirect
173. C43×#400C22semidirect
174. C43×#398C22semidirect
175. C43×#398C22semidirect
180. C43×#387C22semidirect
181. C43×#387C22semidirect
182. C43×#387C22semidirect
183. C43×#387C22semidirect
778. #2747D43semidirect
847. #400C2×D43semidirect
848. #400C2×D43semidirect
857. #398C2×D43semidirect
858. #398C2×D43semidirect
919. #387C2×D43semidirect
920. #387C2×D43semidirect
921. #387C2×D43semidirect
922. #387C2×D43semidirect
973. C43#36729semidirect

Maximal subgroups

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

subgroupindex
#191428812
#191428782
#191417902
#191417232
#191417192
#191417172
#191417052
#191414292
#191412242
#191412202
#191410932
#191410892
#191410832
#191410792
#191408492
#191408472
#191407102
#191405272
#191388602
#191388592
#191387192
#191387142
#191384092
#191383992
#191380622
#191380582
#191373222
#191372942
#380×D432
C43×#27472
#3672943