Finite Group Databasebeta

← #25303775

Subgroups — #25303775

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#19141796C211yesmaximal, characteristic, complemented
4#19141788C211yesmaximal, characteristic, complemented
5#19141726C211yesmaximal, characteristic, complemented
6#19141722C211yesmaximal, characteristic, complemented
7#19141709C211yesmaximal, characteristic, complemented
8#19141705C211yesmaximal, characteristic, complemented
9#19141437C211yesmaximal, characteristic, complemented
10#19141434C211yesmaximal, characteristic, complemented
11#19141229C211yesmaximal, characteristic, complemented
12#19141221C211yesmaximal, characteristic, complemented
13#19141093C211yesmaximal, characteristic, complemented
14#19141085C211yesmaximal, characteristic, complemented
15#19141082C211yesmaximal, characteristic, complemented
16#19141074C211yesmaximal, characteristic, complemented
17#19140851C211yesmaximal, characteristic, complemented
18#19140842C211yesmaximal, characteristic, complemented
19#19140711C211yesmaximal, characteristic, complemented
20#19140525C211yesmaximal, characteristic, complemented
21#19138855C211yesmaximal, characteristic, complemented
22#19138853C211yesmaximal, characteristic, complemented
23#19138728C211yesmaximal, characteristic, complemented
24#19138726C211yesmaximal, characteristic, complemented
25#19138404C211yesmaximal, characteristic, complemented
26#19138059C211yesmaximal, characteristic, complemented
27#19138051C211yesmaximal, characteristic, complemented
28#19137326C211yesmaximal, characteristic, complemented
29#19137293C211yesmaximal, characteristic, complemented
30C2×#14582756C211yesmaximal, characteristic, complemented
31C43×#2449C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic, complemented
34C2×#13063318C2211yescharacteristic, complemented
35C2×#13063314C2211yescharacteristic
36C2×#13063311C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063308C2211yescharacteristic
39C2×#13063304C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063303C2211yescharacteristic
42C2×#13063303C2211yescharacteristic, complemented
43C2×#13063302C2211yescharacteristic
44C2×#13063298C2211yescharacteristic
45C2×#13063298C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063295C2211yescharacteristic
48C2×#13063293C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C22×C4⋊Dic43C2211yescharacteristic
51C22×(C2×D43)⋊C4C2211yescharacteristic
52C22×(C2×D43)⋊C4C2211yescharacteristic
53#14582841C2211yescharacteristic, complemented
54#14582841C2211yescharacteristic, complemented
55#14582841C2211yescharacteristic, complemented
56#14582840C2211yescharacteristic, complemented
57#14582839C2211yescharacteristic, complemented
58#14582838C2211yescharacteristic, complemented
59#14582834C2211yescharacteristic
60#14582834C2211yescharacteristic
61#14582834C2211yescharacteristic, complemented
62#14582830C2211yescharacteristic, complemented
63#14582830C2211yescharacteristic, complemented
64#14582830C2211yescharacteristic, complemented
65#14582829C2211yescharacteristic, complemented
66#14582829C2211yescharacteristic, complemented
67#14582828C2211yescharacteristic
68#14582828C2211yescharacteristic
69#14582828C2211yescharacteristic, complemented
70#14582827C2211yescharacteristic, complemented
71#14582826C2211yescharacteristic, complemented
72#14582825C2211yescharacteristic
73#14582825C2211yescharacteristic
74#14582824C2211yescharacteristic, complemented
75#14582822C2211yescharacteristic, complemented
76#14582821C2211yescharacteristic, complemented
77#14582821C2211yescharacteristic, complemented
78#14582819C2211yescharacteristic, complemented
79#14582819C2211yescharacteristic, complemented
80#14582819C2211yescharacteristic, complemented
81#14582818C2211yescharacteristic, complemented
82#14582818C2211yescharacteristic, complemented
83#14582817C2211yescharacteristic
84#14582816C2211yescharacteristic
85#14582816C2211yescharacteristic
86#14582816C2211yescharacteristic
87#14582815C2211yescharacteristic
88#14582815C2211yescharacteristic, complemented
89#14582814C2211yescharacteristic
90#14582814C2211yescharacteristic
91#14582814C2211yescharacteristic
92#14582814C2211yescharacteristic, complemented
93#14582812C2211yescharacteristic
94#14582812C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582810C2211yescharacteristic
97#14582804C2211yescharacteristic, complemented
98#14582803C2211yescharacteristic, complemented
99#14582800C2211yescharacteristic
100#14582799C2211yescharacteristic
101#14582795C2211yescharacteristic, complemented
102#14582794C2211yescharacteristic, complemented
103#14582794C2211yescharacteristic, complemented
104#14582792C2211yescharacteristic, complemented
105#14582791C2211yescharacteristic
106#14582791C2211yescharacteristic, complemented
107#14582790C2211yescharacteristic
108#14582790C2211yescharacteristic
109#14582790C2211yescharacteristic, complemented
110#14582789C2211yescharacteristic
111#14582789C2211yescharacteristic
112#14582789C2211yescharacteristic
113#14582788C2211yescharacteristic
114#14582788C2211yescharacteristic
115#14582787C2211yescharacteristic, complemented
116#14582786C2211yescharacteristic, complemented
117#14582785C2211yescharacteristic, complemented
118#14582785C2211yescharacteristic, complemented
119#14582784C2211yescharacteristic, complemented
120#14582784C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582782C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582781C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582778C2211yescharacteristic
132#14582778C2211yescharacteristic, complemented
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic, complemented
141#14582773C2211yescharacteristic
142#14582773C2211yescharacteristic
143#14582772C2211yescharacteristic
144#14582772C2211yescharacteristic
145#14582772C2211yescharacteristic, complemented
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic, complemented
149#14582770C2211yescharacteristic, complemented
150#14582758C2211yescharacteristic
151#14582758C2211yescharacteristic
152#14582758C2211yescharacteristic
153#14582758C2211yescharacteristic
154#14582757C2211yescharacteristic
155#14582757C2211yescharacteristic
156#14582757C2211yescharacteristic
157#14582757C2211yescharacteristic
158#14582756C2211yescharacteristic
159#14582756C2211yescharacteristic
160#14582756C2211yescharacteristic
161#14582756C2211yescharacteristic
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C43C2211yescharacteristic
173C2×C22⋊Q8×C43C2211yescharacteristic, complemented
174C2×C4×D4×C43C2211yescharacteristic
175C22×C4⋊C4×C43C2211yescharacteristic
176C43×#399C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#395C2211yescharacteristic, complemented
180C43×#389C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#385C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
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
207#13063320—42no—
208#13063318—42no—
209#13063314—42no—
210#13063311—42no—
211#13063310—42no—
212#13063308—42no—
213#13063304—42no—
214#13063303—42no—
215#13063303—42no—
216#13063303—42no—
217#13063302—24no—
218#13063298—42no—
219#13063298—42no—
220#13063297—24no—
221#13063295—42no—
222#13063293—42no—
223C4×C22⋊D43—42no—
224C2×C4⋊Dic43—42no—
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
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×(C2×D43)⋊C4—42no—
258C2×(C2×D43)⋊C4—42no—
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C22×Q8×C43C2311yescharacteristic
331C22×D4×C43C2311yescharacteristic
332C23×C4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C22⋊Q8×C43—42no—
337C22⋊Q8×C43—42no—
338C4×D4×C43—42no—
339C2×C4⋊C4×C43—42no—
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×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊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×C22⋊C4×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×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×Q8×C43—41no—
382C2×Q8×C43—41no—
383C2×Q8×C43—41no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—22no—
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×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C2×C22⋊D43—22no—
413C2×C22⋊D43—22no—
414C2×C22⋊D43—22no—
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C22×Dic43—22no—
425C22×Dic43—22no—
426C22×Dic43—41no—
427C22×Dic43—41no—
428C22×Dic43—41no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43#4114yes—
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C2×D172—22no—
447C2×D172—22no—
448C2×D172—41no—
449C2×D172—41no—
450C2×D172—41no—
451C2×D172—41no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—41no—
461C2×C4×D43—41no—
462C2×C4×D43—41no—
463C2×C4×D43—41no—
464C2×C4×D43—41no—
465C2×C4×D43—41no—
466C2×C4×D43—41no—
467C2×C4×D43—416no—
468C2×Dic86—22no—
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—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C42×C43—41no—
495C22⋊Dic43—22no—
496C22⋊Dic43—22no—
497C22⋊Dic43—22no—
498C22⋊Dic43—22no—
499C22⋊Dic43—41no—
500C22⋊Dic43—41no—
501C22⋊Dic43—41no—
502C22⋊Dic43—41no—
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—22no—
512(C2×D43)⋊C4—22no—
513(C2×D43)⋊C4—22no—
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—
532(C2×D43)⋊C4—41no—
533C4⋊Dic43—22no—
534C4⋊Dic43—22no—
535C4⋊Dic43—22no—
536C4⋊Dic43—41no—
537C4⋊Dic43—41no—
538C4⋊Dic43—41no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—22no—
542Dic43⋊C4—22no—
543Dic43⋊C4—22no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551Dic43⋊C4—41no—
552Dic43⋊C4—41no—
553Dic43⋊C4—41no—
554Dic43⋊C4—41no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557C4×Dic43—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—
605Q8×C43—82no—
606D4×C43—44no—
607C2×C4×C43—28no—
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—82no—
646C2×C4×C43—82no—
647C2×C4×C43—82no—
648C2×C4×C43H(5,𝔽2)12yes—
649C2×C4×C43H(5,𝔽2)12yes—
650C22⋊D43—44no—
651C22⋊D43—82no—
652C22⋊D43—82no—
653C22⋊D43—82no—
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—21no—
690C2×Dic43—21no—
691C2×Dic43—44no—
692C2×Dic43—82no—
693C2×Dic43—82no—
694C2×Dic43C2×#4112yes—
695C2×Dic43C2×#4112yes—
696D172—82no—
697D172—82no—
698C4×D43—44no—
699C4×D43—44no—
700C4×D43—44no—
701C4×D43—44no—
702C4×D43—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#2481—431no—
797#2472—431no—
798#2472—431no—
799#2449—431no—
800#2449D4311yescharacteristic, complemented
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×#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⋊Q8C2×D4311yescharacteristic
831C2×C22⋊Q8C2×D4311yescharacteristic, complemented
832C2×#121—431no—
833C2×#121—431no—
834C2×#121—431no—
835C2×#120—431no—
836C2×#120—431no—
837C2×C4×D4—431no—
838C2×C4×D4C2×D4311yescharacteristic
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#400—431no—
848#400—431no—
849#399—431no—
850#399—431no—
851#399—431no—
852#399C2×D4311yescharacteristic, complemented
853#398—431no—
854#398—431no—
855#398—431no—
856#398—431no—
857#398—431no—
858#398C2×D4311yescharacteristic, complemented
859#397—431no—
860#397—431no—
861#397—431no—
862#397—431no—
863#397—431no—
864#397—431no—
865#397—431no—
866#397—431no—
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#395C2×D4311yescharacteristic, complemented
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#389C2×D4311yescharacteristic, complemented
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#388—431no—
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#387—431no—
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#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#385C2×D4311yescharacteristic
949#385C2×D4311yescharacteristic
950#385C2×D4311yescharacteristic, complemented
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#380—431no—
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×Q8C22×D4311yescharacteristic
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—864no—
994C23×C4—1722no—
995C23×C4—1722no—
996C23×C4C22×D4311yescharacteristic
997C23×C4C22×D4311yescharacteristic
998C23×C4C22×D4311yescharacteristic
999C23×C4C22×D4311yescharacteristic
1000#126—1722no—
1001#126—1722no—
1002#124—1722no—
1003#124—1722no—
1004#123—1722no—
1005#123—1722no—
1006C22⋊Q8—42no—
1007C22⋊Q8—42no—
1008C22⋊Q8—864no—
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—42no—
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—1722no—
1046C2×C4⋊C4C22×D4311yescharacteristic
1047C2×C4⋊C4C22×D4311yescharacteristic
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—1722no—
1097C2×C22⋊C4—1722no—
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×C42—431no—
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#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
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—41no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—862no—
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—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—431no—
1211C22×C4—431no—
1212C22×C4—434no—
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—431no—
1222C22×C4—431no—
1223C22×C4—431no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—862no—
1233C22×C4—862no—
1234C22×C4—1721no—
1235C22×C4—1721no—
1236C22×C4—1721no—
1237C22×C4—1721no—
1238C22×C4—1721no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—17216no—
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—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—862no—
1274C4⋊C4—862no—
1275C4⋊C4—862no—
1276C4⋊C4—862no—
1277C4⋊C4—862no—
1278C4⋊C4—862no—
1279C4⋊C4—862no—
1280C4⋊C4—862no—
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—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—1721no—
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#1306337012yes—
1390C23#1306337312yes—
1391C23C24×D4311yescharacteristic
1392Q8—82no—
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—82no—
1443C2×C4—432no—
1444C2×C4—432no—
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—861no—
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#1458351914yes—
1528C22C2×#41×D4311yescharacteristic
1529C22H(5,𝔽2)×D4311yescharacteristic
1530C22C2×#1306337011yescharacteristic
1531C22C2×#1306337011yescharacteristic
1532C22C2×#1306337111yescharacteristic
1533C222−1+4×D4311yescharacteristic
1534C22C2×#1306337311yescharacteristic
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×#1458351911yescharacteristic
1567C2#1914827811yescharacteristic
1568C2#1914830011yescharacteristic
1569C2#1914881811yescharacteristic
1570C2#1914882311yescharacteristic
1571C2#1914882611yescharacteristic
1572C2#1914883611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2449C2
prime radical#19142876C2
hypercenter#2449D43
hypocenterC43#36729
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. #19142881C2semidirect
3. #19141796C2semidirect
4. #19141788C2semidirect
5. #19141726C2semidirect
6. #19141722C2semidirect
7. #19141709C2semidirect
8. #19141705C2semidirect
9. #19141437C2semidirect
10. #19141434C2semidirect
11. #19141229C2semidirect
12. #19141221C2semidirect
13. #19141093C2semidirect
14. #19141085C2semidirect
15. #19141082C2semidirect
16. #19141074C2semidirect
17. #19140851C2semidirect
18. #19140842C2semidirect
19. #19140711C2semidirect
20. #19140525C2semidirect
21. #19138855C2semidirect
22. #19138853C2semidirect
23. #19138728C2semidirect
24. #19138726C2semidirect
25. #19138404C2semidirect
26. #19138059C2semidirect
27. #19138051C2semidirect
28. #19137326C2semidirect
29. #19137293C2semidirect
30. C2×#14582756C2semidirect
31. C43×#2449C2semidirect
33. C2×#13063320C22semidirect
34. C2×#13063318C22semidirect
42. C2×#13063303C22semidirect
53. #14582841C22semidirect
54. #14582841C22semidirect
55. #14582841C22semidirect
56. #14582840C22semidirect
57. #14582839C22semidirect
58. #14582838C22semidirect
61. #14582834C22semidirect
62. #14582830C22semidirect
63. #14582830C22semidirect
64. #14582830C22semidirect
65. #14582829C22semidirect
66. #14582829C22semidirect
69. #14582828C22semidirect
70. #14582827C22semidirect
71. #14582826C22semidirect
74. #14582824C22semidirect
75. #14582822C22semidirect
76. #14582821C22semidirect
77. #14582821C22semidirect
78. #14582819C22semidirect
79. #14582819C22semidirect
80. #14582819C22semidirect
81. #14582818C22semidirect
82. #14582818C22semidirect
88. #14582815C22semidirect
92. #14582814C22semidirect
94. #14582812C22semidirect
95. #14582811C22semidirect
97. #14582804C22semidirect
98. #14582803C22semidirect
101. #14582795C22semidirect
102. #14582794C22semidirect
103. #14582794C22semidirect
104. #14582792C22semidirect
106. #14582791C22semidirect
109. #14582790C22semidirect
115. #14582787C22semidirect
116. #14582786C22semidirect
117. #14582785C22semidirect
118. #14582785C22semidirect
119. #14582784C22semidirect
120. #14582784C22semidirect
121. #14582783C22semidirect
122. #14582782C22semidirect
123. #14582781C22semidirect
124. #14582781C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
132. #14582778C22semidirect
140. #14582775C22semidirect
145. #14582772C22semidirect
148. #14582770C22semidirect
149. #14582770C22semidirect
173. C2×C22⋊Q8×C43C22semidirect
176. C43×#399C22semidirect
177. C43×#398C22semidirect
178. C43×#396C22semidirect
179. C43×#395C22semidirect
180. C43×#389C22semidirect
181. C43×#387C22semidirect
186. C43×#385C22semidirect
800. #2449D43semidirect
831. C2×C22⋊Q8C2×D43semidirect
852. #399C2×D43semidirect
858. #398C2×D43semidirect
870. #396C2×D43semidirect
876. #395C2×D43semidirect
898. #389C2×D43semidirect
922. #387C2×D43semidirect
950. #385C2×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
#191417962
#191417882
#191417262
#191417222
#191417092
#191417052
#191414372
#191414342
#191412292
#191412212
#191410932
#191410852
#191410822
#191410742
#191408512
#191408422
#191407112
#191405252
#191388552
#191388532
#191387282
#191387262
#191384042
#191380592
#191380512
#191373262
#191372932
C2×#145827562
C43×#24492
#3672943