Finite Group Databasebeta

← #25303769

Subgroups — #25303769

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#19142876C211yesmaximal, characteristic
3#19141800C211yesmaximal, characteristic, complemented
4#19141792C211yesmaximal, characteristic, complemented
5#19141723C211yesmaximal, characteristic, complemented
6#19141719C211yesmaximal, characteristic, complemented
7#19141717C211yesmaximal, characteristic, complemented
8#19141713C211yesmaximal, characteristic, complemented
9#19141436C211yesmaximal, characteristic, complemented
10#19141435C211yesmaximal, characteristic, complemented
11#19141225C211yesmaximal, characteristic, complemented
12#19141217C211yesmaximal, characteristic, complemented
13#19141097C211yesmaximal, characteristic, complemented
14#19141089C211yesmaximal, characteristic, complemented
15#19141078C211yesmaximal, characteristic, complemented
16#19141070C211yesmaximal, characteristic, complemented
17#19140853C211yesmaximal, characteristic, complemented
18#19140844C211yesmaximal, characteristic, complemented
19#19140712C211yesmaximal, characteristic, complemented
20#19140525C211yesmaximal, characteristic, complemented
21#19138850C211yesmaximal, characteristic, complemented
22#19138723C211yesmaximal, characteristic, complemented
23#19138721C211yesmaximal, characteristic, complemented
24#19138410C211yesmaximal, characteristic, complemented
25#19138402C211yesmaximal, characteristic, complemented
26#19138063C211yesmaximal, characteristic, complemented
27#19138055C211yesmaximal, characteristic, complemented
28#19137323C211yesmaximal, characteristic, complemented
29#19137296C211yesmaximal, characteristic, complemented
30C2×#14582756C211yesmaximal, characteristic, complemented
31C43×#2481C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic, complemented
34C2×#13063313C2211yescharacteristic
35C2×#13063311C2211yescharacteristic
36C2×#13063310C2211yescharacteristic
37C2×#13063309C2211yescharacteristic
38C2×#13063305C2211yescharacteristic, complemented
39C2×#13063303C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063302C2211yescharacteristic
42C2×#13063302C2211yescharacteristic
43C2×#13063302C2211yescharacteristic
44C2×#13063302C2211yescharacteristic, complemented
45C2×#13063298C2211yescharacteristic
46C2×#13063298C2211yescharacteristic
47C2×#13063297C2211yescharacteristic
48C2×#13063295C2211yescharacteristic
49C2×#13063293C2211yescharacteristic
50C2×D4×Dic43C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C22×C4⋊Dic43C2211yescharacteristic
53C22×(C2×D43)⋊C4C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55#14582841C2211yescharacteristic, complemented
56#14582840C2211yescharacteristic, complemented
57#14582838C2211yescharacteristic, complemented
58#14582837C2211yescharacteristic, complemented
59#14582836C2211yescharacteristic
60#14582836C2211yescharacteristic, complemented
61#14582835C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic
63#14582833C2211yescharacteristic, complemented
64#14582833C2211yescharacteristic, complemented
65#14582832C2211yescharacteristic, complemented
66#14582832C2211yescharacteristic, complemented
67#14582831C2211yescharacteristic, complemented
68#14582829C2211yescharacteristic, complemented
69#14582828C2211yescharacteristic
70#14582828C2211yescharacteristic
71#14582828C2211yescharacteristic, complemented
72#14582827C2211yescharacteristic, complemented
73#14582826C2211yescharacteristic
74#14582826C2211yescharacteristic
75#14582825C2211yescharacteristic, complemented
76#14582822C2211yescharacteristic, 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
88#14582816C2211yescharacteristic
89#14582815C2211yescharacteristic
90#14582815C2211yescharacteristic
91#14582815C2211yescharacteristic
92#14582815C2211yescharacteristic, complemented
93#14582814C2211yescharacteristic
94#14582814C2211yescharacteristic, complemented
95#14582812C2211yescharacteristic
96#14582812C2211yescharacteristic
97#14582812C2211yescharacteristic, complemented
98#14582811C2211yescharacteristic, complemented
99#14582805C2211yescharacteristic, complemented
100#14582803C2211yescharacteristic, complemented
101#14582801C2211yescharacteristic
102#14582799C2211yescharacteristic
103#14582798C2211yescharacteristic, complemented
104#14582797C2211yescharacteristic, complemented
105#14582796C2211yescharacteristic, complemented
106#14582796C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic
109#14582791C2211yescharacteristic
110#14582791C2211yescharacteristic
111#14582790C2211yescharacteristic
112#14582790C2211yescharacteristic
113#14582789C2211yescharacteristic
114#14582789C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic
116#14582788C2211yescharacteristic
117#14582788C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582786C2211yescharacteristic, complemented
120#14582785C2211yescharacteristic, complemented
121#14582784C2211yescharacteristic, complemented
122#14582783C2211yescharacteristic, complemented
123#14582783C2211yescharacteristic, complemented
124#14582782C2211yescharacteristic, complemented
125#14582782C2211yescharacteristic, complemented
126#14582781C2211yescharacteristic, complemented
127#14582780C2211yescharacteristic, complemented
128#14582779C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582778C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic, complemented
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic, complemented
141#14582774C2211yescharacteristic
142#14582774C2211yescharacteristic, complemented
143#14582773C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic, complemented
146#14582773C2211yescharacteristic, complemented
147#14582772C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582771C2211yescharacteristic, complemented
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582759C2211yescharacteristic
153#14582758C2211yescharacteristic
154#14582758C2211yescharacteristic
155#14582758C2211yescharacteristic
156#14582758C2211yescharacteristic
157#14582757C2211yescharacteristic
158#14582757C2211yescharacteristic
159#14582756C2211yescharacteristic
160#14582756C2211yescharacteristic
161#14582756C2211yescharacteristic
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#126×C43C2211yescharacteristic, complemented
173C22×C4⋊C4×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic, complemented
175C43×#400C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#386C2211yescharacteristic
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C22×C4×D43—24no—
202C22×C4×D43—42no—
203C22×C4×D43—42no—
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209#13063320—42no—
210#13063313—42no—
211#13063311—42no—
212#13063310—42no—
213#13063309—42no—
214#13063305—42no—
215#13063303—42no—
216#13063303—42no—
217#13063302—24no—
218#13063302—42no—
219#13063302—42no—
220#13063302—42no—
221#13063298—42no—
222#13063298—42no—
223#13063297—24no—
224#13063295—42no—
225#13063293—42no—
226D4×Dic43—42no—
227(C22⋊D43)⋊C4—42no—
228C2×C4⋊Dic43—42no—
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×(C2×D43)⋊C4—42no—
265C2×(C2×D43)⋊C4—42no—
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×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
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
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C22×D4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336#126×C43—42no—
337C2×C4⋊C4×C43—42no—
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×C4⋊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×C42×C43C2311yescharacteristic
356C2×C42×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
370C24×C43C2411yescharacteristic
371C23×D43—22no—
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—22no—
376C23×D43—41no—
377C23×D43—41no—
378C23×D43C2411yescharacteristic
379C23×D43C2411yescharacteristic
380C23×D43C2411yescharacteristic
381C2×D4×C43—22no—
382C2×D4×C43—22no—
383C2×D4×C43—22no—
384C22×C4×C43—22no—
385C22×C4×C43—22no—
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—22no—
389C22×C4×C43—41no—
390C22×C4×C43—41no—
391C22×C4×C43—41no—
392C22×C4×C43—41no—
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
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
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—41no—
413C2×C22⋊D43—41no—
414C2×C22⋊D43—41no—
415C2×C22⋊D43—41no—
416C2×C22⋊D43—41no—
417C2×C22⋊D43—41no—
418C22×Dic43—22no—
419C22×Dic43—22no—
420C22×Dic43—41no—
421C22×Dic43—41no—
422C22×Dic43—41no—
423C22×Dic43—41no—
424C22×Dic43—41no—
425C22×Dic43—41no—
426C22×Dic43—41no—
427C22×Dic43—41no—
428C22×Dic43—41no—
429C22×Dic43#4114yes—
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C2×D172—22no—
444C2×D172—22no—
445C2×D172—41no—
446C2×D172—41no—
447C2×D172—41no—
448C2×D172—41no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
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—416no—
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—
482C22⋊C4×C43—22no—
483C22⋊C4×C43—22no—
484C22⋊C4×C43—22no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C42×C43—41no—
492C42×C43—41no—
493C22⋊Dic43—22no—
494C22⋊Dic43—22no—
495C22⋊Dic43—22no—
496C22⋊Dic43—22no—
497C22⋊Dic43—41no—
498C22⋊Dic43—41no—
499C22⋊Dic43—41no—
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—22no—
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—
530C4⋊Dic43—22no—
531C4⋊Dic43—22no—
532C4⋊Dic43—22no—
533C4⋊Dic43—41no—
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—41no—
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×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43C2×#4112yes—
574C23×C43H(5,𝔽2)12yes—
575C23×C432−1+412yes—
576C23×C43C2511yescharacteristic
577C22×D43—28no—
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—21no—
596C22×D43—21no—
597C22×D43—44no—
598C22×D43—44no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43—44no—
602C22×D43—44no—
603C22×D43H(5,𝔽2)12yes—
604C22×D432−1+412yes—
605D4×C43—44no—
606C2×C4×C43—28no—
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—82no—
645C2×C4×C43—82no—
646C2×C4×C43H(5,𝔽2)12yes—
647C2×C4×C43H(5,𝔽2)12yes—
648C22⋊D43—44no—
649C22⋊D43—82no—
650C22⋊D43—82no—
651C22⋊D43—82no—
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—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—44no—
690C2×Dic43—82no—
691C2×Dic43—82no—
692C2×Dic43—82no—
693C2×Dic43C2×#4112yes—
694C2×Dic43C2×#4112yes—
695D172—82no—
696D172—82no—
697C4×D43—44no—
698C4×D43—44no—
699C4×D43—44no—
700C4×D43—44no—
701C4×D43—82no—
702Dic86—82no—
703Dic86—82no—
704Dic86—82no—
705#36729—431nomaximal, Sylow
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—22no—
710C22×C43—22no—
711C22×C43—22no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43#54214yes—
720C22×C43C22×#4111yescharacteristic
721C22×C43C2×H(5,𝔽2)11yescharacteristic
722C22×C43C2×H(5,𝔽2)11yescharacteristic
723C22×C43C2×H(5,𝔽2)11yescharacteristic
724C22×C43C2×H(5,𝔽2)11yescharacteristic
725C22×C43C2×2−1+411yescharacteristic
726C22×C43C2×2−1+411yescharacteristic
727C2×D43—22no—
728C2×D43—22no—
729C2×D43—22no—
730C2×D43—22no—
731C2×D43—22no—
732C2×D43—22no—
733C2×D43—416no—
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—41no—
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—
762Dic43—22no—
763Dic43—22no—
764Dic43—41no—
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#2747—431no—
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#2481D4311yescharacteristic, complemented
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—24no—
807C2×C43—81no—
808C2×C43C2×#54211yescharacteristic
809C2×C43#349011yescharacteristic
810C2×C43#349211yescharacteristic
811C2×C43#353611yescharacteristic
812C2×C43#353611yescharacteristic
813C2×C43#353711yescharacteristic
814C2×C43#353811yescharacteristic
815D43—42no—
816D43—42no—
817D43—81no—
818C24×C4—431no—
819C2×#126—431no—
820C2×#126C2×D4311yescharacteristic, complemented
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⋊C4C2×D4311yescharacteristic
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#398—431no—
858#398—431no—
859#397—431no—
860#397—431no—
861#397—431no—
862#397—431no—
863#397—431no—
864#397—431no—
865#397—431no—
866#397C2×D4311yescharacteristic, complemented
867#396—431no—
868#396—431no—
869#396—431no—
870#396C2×D4311yescharacteristic, complemented
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#388—431no—
910#388C2×D4311yescharacteristic, complemented
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#387—431no—
920#387—431no—
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#386C2×D4311yescharacteristic
937#386C2×D4311yescharacteristic
938#386C2×D4311yescharacteristic
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#380—431no—
966#380C2×D4311yescharacteristic
967#379—431no—
968#379—431no—
969C4×C22⋊C4—431no—
970C4×C22⋊C4C2×D4311yescharacteristic
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×D4C22×D4311yescharacteristic
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—864no—
995C23×C4—1722no—
996C23×C4—1722no—
997C23×C4C22×D4311yescharacteristic
998C23×C4C22×D4311yescharacteristic
999C23×C4C22×D4311yescharacteristic
1000#126—42no—
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—42no—
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—431no—
1047C2×C4⋊C4—431no—
1048C2×C4⋊C4—431no—
1049C2×C4⋊C4—1722no—
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—1722no—
1096C2×C22⋊C4—1722no—
1097C2×C22⋊C4C22×D4311yescharacteristic
1098C2×C22⋊C4C22×D4311yescharacteristic
1099C2×C22⋊C4C22×D4311yescharacteristic
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#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
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—862no—
1160C24—862no—
1161C24—862no—
1162C24—862no—
1163C24—862no—
1164C24—1721no—
1165C24—1721no—
1166C24C23×D4311yescharacteristic
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—22no—
1178C2×D4—22no—
1179C2×D4—22no—
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—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—431no—
1208C22×C4—431no—
1209C22×C4—434no—
1210C22×C4—431no—
1211C22×C4—431no—
1212C22×C4—431no—
1213C22×C4—431no—
1214C22×C4—431no—
1215C22×C4—431no—
1216C22×C4—431no—
1217C22×C4—431no—
1218C22×C4—431no—
1219C22×C4—431no—
1220C22×C4—431no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
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×C4—1721no—
1243C22×C4—1721no—
1244C22×C4—1721no—
1245C22×C4—1721no—
1246C22×C4—1721no—
1247C22×C4—1721no—
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—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—862no—
1274C4⋊C4—862no—
1275C4⋊C4—862no—
1276C4⋊C4—862no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C4⋊C4—1721no—
1284C4⋊C4—1721no—
1285C4⋊C4—1721no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C4⋊C4—1721no—
1291C4⋊C4—1721no—
1292C4⋊C4—1721no—
1293C4⋊C4—1721no—
1294C4⋊C4—1721no—
1295C4⋊C4—1721no—
1296C4⋊C4—1721no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
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—862no—
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—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—432no—
1361C23—432no—
1362C23—868no—
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—1724no—
1383C23—1724no—
1384C23—1724no—
1385C23—1724no—
1386C23—1724no—
1387C23—1724no—
1388C23#41×D4312yes—
1389C23#1306337112yes—
1390C23#1306337212yes—
1391C23C24×D4311yescharacteristic
1392Q8—3442no—
1393Q8—3442no—
1394Q8—3442no—
1395D4—44no—
1396D4—3442no—
1397D4—3442no—
1398D4—3442no—
1399D4—3442no—
1400D4—3442no—
1401D4—1724no—
1402C2×C4—28no—
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—82no—
1441C2×C4—82no—
1442C2×C4—432no—
1443C2×C4—432no—
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—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—861no—
1481C2×C4—3442no—
1482C2×C4—3442no—
1483C2×C4—3442no—
1484C2×C4—3442no—
1485C2×C4—1724no—
1486C2×C4—1724no—
1487C2×C4—1724no—
1488C2×C4—1724no—
1489C2×C4—1724no—
1490C2×C4#1306337012yes—
1491C2×C4#1306337112yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—862no—
1506C22—862no—
1507C22—862no—
1508C22—862no—
1509C22—862no—
1510C22—862no—
1511C22—17216no—
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#1458351514yes—
1528C22C2×#41×D4311yescharacteristic
1529C22H(5,𝔽2)×D4311yescharacteristic
1530C22C2×#1306337011yescharacteristic
1531C22C2×#1306337111yescharacteristic
1532C22C2×#1306337111yescharacteristic
1533C222−1+4×D4311yescharacteristic
1534C22C2×#1306337211yescharacteristic
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—862no—
1549C4—862no—
1550C4—1721no—
1551C4—1721no—
1552C4—1721no—
1553C4—1721no—
1554C4—1721no—
1555C4—1721no—
1556C4—1721no—
1557C4—1721no—
1558C4—1721no—
1559C4—1721no—
1560C4—1721no—
1561C2—24no—
1562C2—81no—
1563C2—3441no—
1564C2—1722no—
1565C2—1722no—
1566C2C2×#1458351511yescharacteristic
1567C2#1914827811yescharacteristic
1568C2#1914830011yescharacteristic
1569C2#1914881111yescharacteristic
1570C2#1914881511yescharacteristic
1571C2#1914883111yescharacteristic
1572C2#1914884111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2481C2
prime radical#19142876C2
hypercenter#2481D43
hypocenterC43#36729
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. #19142881C2semidirect
3. #19141800C2semidirect
4. #19141792C2semidirect
5. #19141723C2semidirect
6. #19141719C2semidirect
7. #19141717C2semidirect
8. #19141713C2semidirect
9. #19141436C2semidirect
10. #19141435C2semidirect
11. #19141225C2semidirect
12. #19141217C2semidirect
13. #19141097C2semidirect
14. #19141089C2semidirect
15. #19141078C2semidirect
16. #19141070C2semidirect
17. #19140853C2semidirect
18. #19140844C2semidirect
19. #19140712C2semidirect
20. #19140525C2semidirect
21. #19138850C2semidirect
22. #19138723C2semidirect
23. #19138721C2semidirect
24. #19138410C2semidirect
25. #19138402C2semidirect
26. #19138063C2semidirect
27. #19138055C2semidirect
28. #19137323C2semidirect
29. #19137296C2semidirect
30. C2×#14582756C2semidirect
31. C43×#2481C2semidirect
33. C2×#13063320C22semidirect
38. C2×#13063305C22semidirect
44. C2×#13063302C22semidirect
55. #14582841C22semidirect
56. #14582840C22semidirect
57. #14582838C22semidirect
58. #14582837C22semidirect
60. #14582836C22semidirect
61. #14582835C22semidirect
63. #14582833C22semidirect
64. #14582833C22semidirect
65. #14582832C22semidirect
66. #14582832C22semidirect
67. #14582831C22semidirect
68. #14582829C22semidirect
71. #14582828C22semidirect
72. #14582827C22semidirect
75. #14582825C22semidirect
76. #14582822C22semidirect
77. #14582821C22semidirect
78. #14582821C22semidirect
79. #14582820C22semidirect
80. #14582820C22semidirect
81. #14582820C22semidirect
82. #14582820C22semidirect
83. #14582819C22semidirect
84. #14582819C22semidirect
92. #14582815C22semidirect
94. #14582814C22semidirect
97. #14582812C22semidirect
98. #14582811C22semidirect
99. #14582805C22semidirect
100. #14582803C22semidirect
103. #14582798C22semidirect
104. #14582797C22semidirect
105. #14582796C22semidirect
106. #14582796C22semidirect
107. #14582793C22semidirect
114. #14582789C22semidirect
117. #14582788C22semidirect
118. #14582786C22semidirect
119. #14582786C22semidirect
120. #14582785C22semidirect
121. #14582784C22semidirect
122. #14582783C22semidirect
123. #14582783C22semidirect
124. #14582782C22semidirect
125. #14582782C22semidirect
126. #14582781C22semidirect
127. #14582780C22semidirect
137. #14582776C22semidirect
140. #14582775C22semidirect
142. #14582774C22semidirect
145. #14582773C22semidirect
146. #14582773C22semidirect
149. #14582771C22semidirect
172. C2×#126×C43C22semidirect
174. C43×#400C22semidirect
175. C43×#400C22semidirect
176. C43×#397C22semidirect
177. C43×#396C22semidirect
178. C43×#388C22semidirect
179. C43×#387C22semidirect
180. C43×#387C22semidirect
796. #2481D43semidirect
820. C2×#126C2×D43semidirect
847. #400C2×D43semidirect
848. #400C2×D43semidirect
866. #397C2×D43semidirect
870. #396C2×D43semidirect
910. #388C2×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
#191428762
#191418002
#191417922
#191417232
#191417192
#191417172
#191417132
#191414362
#191414352
#191412252
#191412172
#191410972
#191410892
#191410782
#191410702
#191408532
#191408442
#191407122
#191405252
#191388502
#191387232
#191387212
#191384102
#191384022
#191380632
#191380552
#191373232
#191372962
C2×#145827562
C43×#24812
#3672943