Finite Group Databasebeta

← #25303448

Subgroups — #25303448

Order 11008.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583529C211yesmaximal, characteristic, complemented
2C2×#123×D43C211yesmaximal, characteristic
3#19142883C211yesmaximal, characteristic, complemented
4#19142881C211yesmaximal, characteristic, complemented
5#19141122C211yesmaximal, characteristic, complemented
6#19141120C211yesmaximal, characteristic, complemented
7#19141117C211yesmaximal, characteristic, complemented
8#19141115C211yesmaximal, characteristic, complemented
9#19141110C211yesmaximal, characteristic, complemented
10#19141109C211yesmaximal, characteristic, complemented
11#19141108C211yesmaximal, characteristic, complemented
12#19140883C211yesmaximal, characteristic, complemented
13#19140880C211yesmaximal, characteristic, complemented
14#19140879C211yesmaximal, characteristic, complemented
15#19140878C211yesmaximal, characteristic, complemented
16#19140877C211yesmaximal, characteristic, complemented
17#19140876C211yesmaximal, characteristic, complemented
18#19140874C211yesmaximal, characteristic, complemented
19#19140873C211yesmaximal, characteristic, complemented
20#19140405C211yesmaximal, characteristic, complemented
21#19140401C211yesmaximal, characteristic, complemented
22#19139973C211yesmaximal, characteristic, complemented
23#19139969C211yesmaximal, characteristic, complemented
24#19138870C211yesmaximal, characteristic, complemented
25#19138867C211yesmaximal, characteristic, complemented
26#19138867C211yesmaximal, characteristic, complemented
27#19138864C211yesmaximal, characteristic, complemented
28#19138245C211yesmaximal, characteristic
29#19138241C211yesmaximal, characteristic
30#19137194C211yesmaximal, characteristic, complemented
31C43×#2694C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583529—28no—
35C2×#13063325C2211yescharacteristic, complemented
36C2×#13063324C2211yescharacteristic, complemented
37C2×#13063324C2211yescharacteristic, complemented
38C2×#13063324C2211yescharacteristic, complemented
39C2×#13063316C2211yescharacteristic, complemented
40C2×#13063315C2211yescharacteristic, complemented
41C2×#13063315C2211yescharacteristic, complemented
42C2×#13063313C2211yescharacteristic
43C2×#13063312C2211yescharacteristic
44C2×#13063311C2211yescharacteristic
45C2×#13063311C2211yescharacteristic
46C2×#13063310C2211yescharacteristic
47C2×#13063310C2211yescharacteristic
48C2×#13063309C2211yescharacteristic
49C2×#13063308C2211yescharacteristic
50C2×#13063307C2211yescharacteristic
51C2×#13063307C2211yescharacteristic
52C2×#13063306C2211yescharacteristic
53#123×D43—28no—
54C2×#13063305C2211yescharacteristic
55C2×#13063305C2211yescharacteristic
56C2×#13063305C2211yescharacteristic, complemented
57C2×#13063304C2211yescharacteristic, complemented
58C2×#13063303C2211yescharacteristic
59C2×#13063303C2211yescharacteristic
60C2×#13063303C2211yescharacteristic, complemented
61C2×#13063302C2211yescharacteristic, complemented
62C2×#13063283C2211yescharacteristic
63C2×#13063282C2211yescharacteristic
64C2×C4⋊C4×D43C2211yescharacteristic
65C2×C4⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69#14582836C2211yescharacteristic, complemented
70#14582835C2211yescharacteristic, complemented
71#14582835C2211yescharacteristic, complemented
72#14582835C2211yescharacteristic, complemented
73#14582835C2211yescharacteristic, complemented
74#14582834C2211yescharacteristic, complemented
75#14582834C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic, complemented
77#14582834C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582830C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582826C2211yescharacteristic, complemented
87#14582825C2211yescharacteristic, complemented
88#14582824C2211yescharacteristic, complemented
89#14582822C2211yescharacteristic, complemented
90#14582822C2211yescharacteristic, complemented
91#14582822C2211yescharacteristic, complemented
92#14582821C2211yescharacteristic, complemented
93#14582821C2211yescharacteristic, complemented
94#14582821C2211yescharacteristic, complemented
95#14582821C2211yescharacteristic, complemented
96#14582820C2211yescharacteristic, complemented
97#14582820C2211yescharacteristic, complemented
98#14582819C2211yescharacteristic, complemented
99#14582819C2211yescharacteristic, complemented
100#14582817C2211yescharacteristic
101#14582816C2211yescharacteristic
102#14582815C2211yescharacteristic
103#14582815C2211yescharacteristic
104#14582815C2211yescharacteristic
105#14582815C2211yescharacteristic
106#14582813C2211yescharacteristic
107#14582812C2211yescharacteristic, complemented
108#14582812C2211yescharacteristic, complemented
109#14582811C2211yescharacteristic, complemented
110#14582811C2211yescharacteristic, complemented
111#14582800C2211yescharacteristic
112#14582799C2211yescharacteristic
113#14582799C2211yescharacteristic
114#14582798C2211yescharacteristic, complemented
115#14582798C2211yescharacteristic, complemented
116#14582797C2211yescharacteristic, complemented
117#14582796C2211yescharacteristic, complemented
118#14582796C2211yescharacteristic, complemented
119#14582794C2211yescharacteristic, complemented
120#14582794C2211yescharacteristic, complemented
121#14582793C2211yescharacteristic, complemented
122#14582793C2211yescharacteristic, complemented
123#14582792C2211yescharacteristic, complemented
124#14582792C2211yescharacteristic, complemented
125#14582791C2211yescharacteristic, complemented
126#14582791C2211yescharacteristic, complemented
127#14582790C2211yescharacteristic, complemented
128#14582790C2211yescharacteristic, complemented
129#14582789C2211yescharacteristic, complemented
130#14582789C2211yescharacteristic, complemented
131#14582788C2211yescharacteristic, complemented
132#14582788C2211yescharacteristic, complemented
133#14582787C2211yescharacteristic, complemented
134#14582787C2211yescharacteristic, complemented
135#14582786C2211yescharacteristic, complemented
136#14582785C2211yescharacteristic, complemented
137#14582784C2211yescharacteristic, complemented
138#14582783C2211yescharacteristic, complemented
139#14582782C2211yescharacteristic, complemented
140#14582781C2211yescharacteristic, complemented
141#14582780C2211yescharacteristic, complemented
142#14582774C2211yescharacteristic, complemented
143#14582774C2211yescharacteristic, complemented
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582773C2211yescharacteristic
148#14582773C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582772C2211yescharacteristic, complemented
152#14582770C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic, complemented
157#14582761C2211yescharacteristic
158#14582761C2211yescharacteristic
159#14582758C2211yescharacteristic
160#14582758C2211yescharacteristic, complemented
161#14582757C2211yescharacteristic, complemented
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic, complemented
164#14582754C2211yescharacteristic
165#14582754C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4×(C2×D43)⋊C4C2211yescharacteristic
173#14582746C2211yescharacteristic
174C2×#125×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic
176C43×#399C2211yescharacteristic, complemented
177C43×#399C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic, complemented
180C43×#396C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic
182C43×#390C2211yescharacteristic
183C43×#389C2211yescharacteristic, complemented
184C43×#388C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#387C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C2×D4×D43—24no—
199C2×D4×D43—42no—
200C2×D4×D43—42no—
201C23×Dic43C2311yescharacteristic
202C22×C4×D43—24no—
203C22×C4×D43—42no—
204C22×C4×D43—42no—
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212#13063325—24no—
213#13063324—24no—
214#13063324—24no—
215#13063324—24no—
216#13063316—24no—
217#13063315—24no—
218#13063315—24no—
219#13063313—42no—
220#13063312—42no—
221#13063311—42no—
222#13063311—42no—
223#13063310—24no—
224#13063310—24no—
225#13063309—24no—
226#13063308—24no—
227#13063307—24no—
228#13063307—24no—
229#13063306—24no—
230#13063305—24no—
231#13063305—24no—
232#13063305—42no—
233#13063304—42no—
234#13063303—24no—
235#13063303—24no—
236#13063303—42no—
237#13063302—42no—
238#13063283—24no—
239#13063282—24no—
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C4⋊C4×D43—24no—
273C4⋊C4×D43D418yes—
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
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
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C22⋊C4×D43—24no—
316C22⋊C4×D43—24no—
317C22⋊C4×D43—24no—
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350#125×C43—24no—
351#123×C43—24no—
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C42×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—41no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—41no—
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C22×Dic43—22no—
430C22×Dic43—22no—
431C22×Dic43—41no—
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445D4×D43—416no—
446C2×D172—22no—
447C2×D172—22no—
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—41no—
465C2×C4×D43—41no—
466C2×C4×D43—41no—
467C2×C4×D43—416no—
468C2×C4×D43C2×D414yes—
469C2×C4×D43C2×D414yes—
470C2×C4×D43C2×D414yes—
471C2×Dic86—22no—
472C2×Dic86—22no—
473C2×Dic86—22no—
474C2×Dic86—22no—
475C2×Dic86—41no—
476C2×Dic86—41no—
477C2×Dic86—41no—
478C2×Dic86—41no—
479C2×Dic86—41no—
480C2×Dic86—41no—
481C2×Dic86—41no—
482C2×Dic86—41no—
483C4⋊C4×C43—22no—
484C4⋊C4×C43—22no—
485C4⋊C4×C43—22no—
486C4⋊C4×C43—22no—
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43C2×D414yes—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C42×C43—22no—
507C42×C43—41no—
508C22⋊Dic43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—41no—
515C22⋊Dic43—41no—
516C22⋊Dic43—41no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549C4⋊Dic43—22no—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—22no—
553C4⋊Dic43—22no—
554C4⋊Dic43—22no—
555C4⋊Dic43—41no—
556C4⋊Dic43—41no—
557C4⋊Dic43—41no—
558C4⋊Dic43—41no—
559C4⋊Dic43—41no—
560C4⋊Dic43C2×D414yes—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574Dic43⋊C4—41no—
575Dic43⋊C4—41no—
576Dic43⋊C4—41no—
577Dic43⋊C4—41no—
578Dic43⋊C4—41no—
579Dic43⋊C4C2×D414yes—
580Dic43⋊C4C2×D414yes—
581C4×Dic43—22no—
582C4×Dic43—22no—
583C4×Dic43—22no—
584C4×Dic43—41no—
585C4×Dic43—41no—
586C4×Dic43—41no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43H(5,𝔽2)12yes—
601C23×C43C2511yescharacteristic
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—28no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—44no—
621C22×D43—44no—
622C22×D43—44no—
623C22×D43—44no—
624C22×D43—44no—
625C22×D43—44no—
626C22×D43—44no—
627C22×D43—44no—
628C22×D43—44no—
629C22×D43—82no—
630C22×D43—82no—
631C22×D43—82no—
632C22×D43—82no—
633C22×D43C22×D412yes—
634C22×D43H(5,𝔽2)12yes—
635C22×D432−1+412yes—
636C22×D432−1+412yes—
637D4×C43—44no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—44no—
675C2×C4×C43C22×D412yes—
676C2×C4×C43C22×D412yes—
677C2×C4×C43C22×D412yes—
678C22⋊D43—44no—
679C22⋊D43—44no—
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—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—44no—
717C2×Dic43C22×D412yes—
718C2×Dic43C22×D412yes—
719C2×Dic43C22×D412yes—
720D172—44no—
721C4×D43—28no—
722C4×D43—44no—
723C4×D43—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728Dic86—82no—
729Dic86—82no—
730Dic86—82no—
731Dic86—82no—
732#36711—431nomaximal, Sylow
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43C23×D411yescharacteristic
748C22×C43C2×H(5,𝔽2)11yescharacteristic
749C22×C43C2×H(5,𝔽2)11yescharacteristic
750C22×C43C2×2−1+411yescharacteristic
751C22×C43C2×2−1+411yescharacteristic
752C22×C43#58511yescharacteristic
753C22×C43#58511yescharacteristic
754C2×D43—22no—
755C2×D43—22no—
756C2×D43—22no—
757C2×D43—22no—
758C2×D43—22no—
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—22no—
763C2×D43—416no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—88no—
776C2×D43#53614yes—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790Dic43—22no—
791Dic43—22no—
792Dic43—22no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803C2×#544—431no—
804C22×#123—431no—
805#2848—431no—
806#2848—431no—
807#2694—431no—
808#2694—431no—
809#2694—431no—
810#2694—431no—
811#2694—431no—
812#2694—431no—
813#2694—431no—
814#2694D4311yescharacteristic, complemented
815#2674—431no—
816#2674—431no—
817#2674—431no—
818#2674—431no—
819#2674—431no—
820#2674—431no—
821#2674—431no—
822#2674—431no—
823#2626—431no—
824#2626—431no—
825#2583—431no—
826#2583—431no—
827#2482—431no—
828#2482—431no—
829#2482—431no—
830#2482—431no—
831#2435—431no—
832#2435—431no—
833#2313—431no—
834C2×C43—42no—
835C2×C43—81no—
836C2×C43C2×#53611yescharacteristic
837C2×C43#348411yescharacteristic
838C2×C43#348711yescharacteristic
839C2×C43#353511yescharacteristic
840C2×C43#353511yescharacteristic
841C2×C43#353511yescharacteristic
842C2×C43#353511yescharacteristic
843D43—24no—
844D43—42no—
845D43—81no—
846C23×D4—431no—
847C24×C4—431no—
848#544—868no—
849C2×C4⋊Q8—431no—
850C2×C4⋊Q8—431no—
851C2×C4⋊Q8—431no—
852C2×C4⋊Q8—431no—
853C2×#125—431no—
854C2×#125—431no—
855C2×#125—431no—
856C2×#125C2×D4311yescharacteristic, complemented
857C2×#124—431no—
858C2×#124—431no—
859C2×#124—431no—
860C2×#124—431no—
861C2×#123—431no—
862C2×#123—431no—
863C2×#123—431no—
864C2×#123—431no—
865C2×#123—431no—
866C2×#123—431no—
867C2×#123—431no—
868C2×#123—868no—
869C2×#123C2×D4311yescharacteristic
870C2×C22⋊Q8—431no—
871C2×C22⋊Q8—431no—
872C2×C22⋊Q8—431no—
873C2×C22⋊Q8—431no—
874C2×C22⋊Q8—431no—
875C2×C22⋊Q8—431no—
876C2×C22⋊Q8—431no—
877C2×C22⋊Q8—431no—
878C2×#117—431no—
879C2×#117—431no—
880C22×C4⋊C4—431no—
881C22×C4⋊C4—431no—
882C22×C22⋊C4—431no—
883C22×C22⋊C4—431no—
884C22×C22⋊C4—431no—
885#399—431no—
886#399—431no—
887#399—431no—
888#399—431no—
889#399—431no—
890#399—431no—
891#399—431no—
892#399—431no—
893#399—431no—
894#399—431no—
895#399C2×D4311yescharacteristic, complemented
896#399C2×D4311yescharacteristic, complemented
897#398—431no—
898#398—431no—
899#398—431no—
900#398C2×D4311yescharacteristic, complemented
901#397—431no—
902#397—431no—
903#397—431no—
904#397—431no—
905#397—431no—
906#397—431no—
907#397—431no—
908#397C2×D4311yescharacteristic, complemented
909#396—431no—
910#396—431no—
911#396—431no—
912#396—431no—
913#396—431no—
914#396—431no—
915#396—431no—
916#396C2×D4311yescharacteristic, complemented
917#395—431no—
918#395—431no—
919#395—431no—
920#395—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394—431no—
926#394—431no—
927#394—431no—
928#394C2×D4311yescharacteristic
929#393—431no—
930#393—431no—
931#393—431no—
932#393—431no—
933#390—431no—
934#390—431no—
935#390—431no—
936#390C2×D4311yescharacteristic
937#389—431no—
938#389—431no—
939#389—431no—
940#389—431no—
941#389—431no—
942#389—431no—
943#389—431no—
944#389C2×D4311yescharacteristic, complemented
945#388—431no—
946#388—431no—
947#388—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#388—431no—
958#388—431no—
959#388C2×D4311yescharacteristic, complemented
960#388C2×D4311yescharacteristic, complemented
961#387—431no—
962#387—431no—
963#387—431no—
964#387—431no—
965#387—431no—
966#387—431no—
967#387—431no—
968#387C2×D4311yescharacteristic, complemented
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385—431no—
974#385—431no—
975#385—431no—
976#385—431no—
977#385—431no—
978#385—431no—
979#385—431no—
980#385—431no—
981#385—431no—
982#385—431no—
983#385—431no—
984#385C2×D4311yescharacteristic, complemented
985#381—431no—
986#381—431no—
987#380—431no—
988#380—431no—
989#380—431no—
990#380—431no—
991#380—431no—
992#380C2×D4311yescharacteristic, complemented
993#379—431no—
994#379—431no—
995#379—431no—
996#379—431no—
997#379—431no—
998#379—431no—
999#379—431no—
1000#379—431no—
1001C4×C22⋊C4—431no—
1002C4×C22⋊C4—431no—
1003C43#3671111yescharacteristic, complemented, Sylow
1004C25—431no—
1005C25—431no—
1006C22×Q8—431no—
1007C22×Q8—431no—
1008C22×Q8—431no—
1009C22×Q8—431no—
1010C22×D4—431no—
1011C22×D4—431no—
1012C22×D4—431no—
1013C22×D4—864no—
1014C22×D4—1722no—
1015C22×D4—1722no—
1016C22×D4C22×D4311yescharacteristic
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4—431no—
1024C23×C4—431no—
1025C23×C4—864no—
1026C23×C4—1722no—
1027C23×C4—1722no—
1028C23×C4C22×D4311yescharacteristic
1029C4⋊Q8—864no—
1030C4⋊Q8—864no—
1031C4⋊Q8—864no—
1032C4⋊Q8—864no—
1033#125—24no—
1034#125—864no—
1035#125—864no—
1036#125—864no—
1037#124—1722no—
1038#124—1722no—
1039#124—1722no—
1040#124—1722no—
1041#123—24no—
1042#123—864no—
1043#123—864no—
1044#123—864no—
1045#123—864no—
1046#123—864no—
1047#123—864no—
1048#123—864no—
1049C22⋊Q8—864no—
1050C22⋊Q8—864no—
1051C22⋊Q8—864no—
1052C22⋊Q8—864no—
1053C22⋊Q8—1722no—
1054C22⋊Q8—1722no—
1055C22⋊Q8—1722no—
1056C22⋊Q8—1722no—
1057#117—864no—
1058#117—864no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—438no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—864no—
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C4⋊C4C22×D4311yescharacteristic
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C4⋊C4C22×D4311yescharacteristic
1097C2×C4⋊C4C22×D4311yescharacteristic
1098C2×C4⋊C4C22×D4311yescharacteristic
1099C2×C4⋊C4C22×D4311yescharacteristic
1100C2×C4⋊C4C22×D4311yescharacteristic
1101C2×C4⋊C4C22×D4311yescharacteristic
1102C2×C4⋊C4C22×D4311yescharacteristic
1103C2×C4⋊C4C22×D4311yescharacteristic
1104C2×C4⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—864no—
1147C2×C22⋊C4—864no—
1148C2×C22⋊C4—864no—
1149C2×C22⋊C4C22×D4311yescharacteristic
1150C2×C22⋊C4C22×D4311yescharacteristic
1151C2×C22⋊C4C22×D4311yescharacteristic
1152C2×C22⋊C4C22×D4311yescharacteristic
1153C2×C22⋊C4C22×D4311yescharacteristic
1154C2×C22⋊C4C22×D4311yescharacteristic
1155C2×C22⋊C4C22×D4311yescharacteristic
1156C2×C22⋊C4C22×D4311yescharacteristic
1157C2×C22⋊C4C22×D4311yescharacteristic
1158C2×C22⋊C4C22×D4311yescharacteristic
1159C2×C22⋊C4C22×D4311yescharacteristic
1160C2×C42—431no—
1161C2×C42—431no—
1162C2×C42—431no—
1163C2×C42—431no—
1164C2×C42—431no—
1165C2×C42—431no—
1166C2×C42C22×D4311yescharacteristic
1167C2×C42C22×D4311yescharacteristic
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95C22×D4311yescharacteristic
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196#95C22×D4311yescharacteristic
1197#95C22×D4311yescharacteristic
1198#95C22×D4311yescharacteristic
1199#95C22×D4311yescharacteristic
1200C24—431no—
1201C24—431no—
1202C24—431no—
1203C24—862no—
1204C24—862no—
1205C24—862no—
1206C24—862no—
1207C24—862no—
1208C24—862no—
1209C24—862no—
1210C24—862no—
1211C24—1721no—
1212C24—1721no—
1213C24—1721no—
1214C24—1721no—
1215C24—1721no—
1216C24—1721no—
1217C24C23×D4311yescharacteristic
1218C24C23×D4311yescharacteristic
1219C2×Q8—862no—
1220C2×Q8—862no—
1221C2×Q8—862no—
1222C2×Q8—862no—
1223C2×Q8—1721no—
1224C2×Q8—1721no—
1225C2×Q8—1721no—
1226C2×Q8—1721no—
1227C2×Q8—1721no—
1228C2×Q8—1721no—
1229C2×Q8—1721no—
1230C2×Q8—1721no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—41no—
1234C2×D4—862no—
1235C2×D4—862no—
1236C2×D4—862no—
1237C2×D4—862no—
1238C2×D4—862no—
1239C2×D4—862no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—17216no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—434no—
1251C22×C4—434no—
1252C22×C4—434no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—431no—
1256C22×C4—431no—
1257C22×C4—431no—
1258C22×C4—431no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—1721no—
1274C22×C4—1721no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4—1721no—
1278C22×C4—1721no—
1279C22×C4—1721no—
1280C22×C4—1721no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—17216no—
1284C22×C4—1721no—
1285C22×C4C23×D4311yescharacteristic
1286C22×C4C23×D4311yescharacteristic
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—434no—
1310C4⋊C4—434no—
1311C4⋊C4—434no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C4⋊C4—1721no—
1334C4⋊C4—1721no—
1335C4⋊C4—1721no—
1336C4⋊C4—1721no—
1337C4⋊C4—1721no—
1338C4⋊C4—1721no—
1339C4⋊C4—1721no—
1340C4⋊C4—1721no—
1341C4⋊C4D4×D4314yes—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—862no—
1374C22⋊C4—862no—
1375C22⋊C4—862no—
1376C22⋊C4—862no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4—1721no—
1394C42—22no—
1395C42—41no—
1396C42—862no—
1397C42—862no—
1398C42—862no—
1399C42—1721no—
1400C42—1721no—
1401C42—1721no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—432no—
1416C23—432no—
1417C23—432no—
1418C23—432no—
1419C23—868no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—3442no—
1438C23—3442no—
1439C23—3442no—
1440C23—3442no—
1441C23—1724no—
1442C23—1724no—
1443C23—1724no—
1444C23—1724no—
1445C23—1724no—
1446C23—1724no—
1447C23—1724no—
1448C23—1724no—
1449C23—1724no—
1450C23#1306337112yes—
1451C23C24×D4311yescharacteristic
1452Q8—3442no—
1453Q8—3442no—
1454Q8—3442no—
1455Q8—3442no—
1456D4—44no—
1457D4—1724no—
1458D4—1724no—
1459D4—1724no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—432no—
1498C2×C4—432no—
1499C2×C4—432no—
1500C2×C4—868no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—1724no—
1538C2×C4—1724no—
1539C2×C4—1724no—
1540C2×C4—1724no—
1541C2×C4—1724no—
1542C2×C4—1724no—
1543C2×C4—1724no—
1544C2×C4C2×D4×D4312yes—
1545C2×C4C2×D4×D4312yes—
1546C2×C4C2×D4×D4312yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—434no—
1562C22—862no—
1563C22—862no—
1564C22—862no—
1565C22—862no—
1566C22—862no—
1567C22—862no—
1568C22—862no—
1569C22—862no—
1570C22—862no—
1571C22—3448no—
1572C22—17216no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22—1721no—
1583C22—1721no—
1584C22C22×D4×D4311yescharacteristic
1585C22H(5,𝔽2)×D4311yescharacteristic
1586C22C2×#1306337111yescharacteristic
1587C222−1+4×D4311yescharacteristic
1588C222−1+4×D4311yescharacteristic
1589C22#1458373411yescharacteristic
1590C22#1458373511yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—862no—
1605C4—862no—
1606C4—862no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C4—1721no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C2—42no—
1618C2—81no—
1619C2—864no—
1620C2—3441no—
1621C2—1722no—
1622C2#536×D4311yescharacteristic
1623C2#1914822511yescharacteristic
1624C2#1914824811yescharacteristic
1625C2#1914879511yescharacteristic
1626C2#1914880211yescharacteristic
1627C2#1914880311yescharacteristic
1628C2#1914880711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2694C2
prime radicalC22×D4×D43C22
hypercenter#2694D43
hypocenterC43#36711
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#14583529C2semidirect
3. #19142883C2semidirect
4. #19142881C2semidirect
5. #19141122C2semidirect
6. #19141120C2semidirect
7. #19141117C2semidirect
8. #19141115C2semidirect
9. #19141110C2semidirect
10. #19141109C2semidirect
11. #19141108C2semidirect
12. #19140883C2semidirect
13. #19140880C2semidirect
14. #19140879C2semidirect
15. #19140878C2semidirect
16. #19140877C2semidirect
17. #19140876C2semidirect
18. #19140874C2semidirect
19. #19140873C2semidirect
20. #19140405C2semidirect
21. #19140401C2semidirect
22. #19139973C2semidirect
23. #19139969C2semidirect
24. #19138870C2semidirect
25. #19138867C2semidirect
26. #19138867C2semidirect
27. #19138864C2semidirect
30. #19137194C2semidirect
31. C43×#2694C2semidirect
35. C2×#13063325C22semidirect
36. C2×#13063324C22semidirect
37. C2×#13063324C22semidirect
38. C2×#13063324C22semidirect
39. C2×#13063316C22semidirect
40. C2×#13063315C22semidirect
41. C2×#13063315C22semidirect
56. C2×#13063305C22semidirect
57. C2×#13063304C22semidirect
60. C2×#13063303C22semidirect
61. C2×#13063302C22semidirect
69. #14582836C22semidirect
70. #14582835C22semidirect
71. #14582835C22semidirect
72. #14582835C22semidirect
73. #14582835C22semidirect
74. #14582834C22semidirect
75. #14582834C22semidirect
76. #14582834C22semidirect
77. #14582834C22semidirect
78. #14582834C22semidirect
79. #14582833C22semidirect
80. #14582832C22semidirect
81. #14582830C22semidirect
82. #14582828C22semidirect
83. #14582828C22semidirect
84. #14582827C22semidirect
85. #14582827C22semidirect
86. #14582826C22semidirect
87. #14582825C22semidirect
88. #14582824C22semidirect
89. #14582822C22semidirect
90. #14582822C22semidirect
91. #14582822C22semidirect
92. #14582821C22semidirect
93. #14582821C22semidirect
94. #14582821C22semidirect
95. #14582821C22semidirect
96. #14582820C22semidirect
97. #14582820C22semidirect
98. #14582819C22semidirect
99. #14582819C22semidirect
107. #14582812C22semidirect
108. #14582812C22semidirect
109. #14582811C22semidirect
110. #14582811C22semidirect
114. #14582798C22semidirect
115. #14582798C22semidirect
116. #14582797C22semidirect
117. #14582796C22semidirect
118. #14582796C22semidirect
119. #14582794C22semidirect
120. #14582794C22semidirect
121. #14582793C22semidirect
122. #14582793C22semidirect
123. #14582792C22semidirect
124. #14582792C22semidirect
125. #14582791C22semidirect
126. #14582791C22semidirect
127. #14582790C22semidirect
128. #14582790C22semidirect
129. #14582789C22semidirect
130. #14582789C22semidirect
131. #14582788C22semidirect
132. #14582788C22semidirect
133. #14582787C22semidirect
134. #14582787C22semidirect
135. #14582786C22semidirect
136. #14582785C22semidirect
137. #14582784C22semidirect
138. #14582783C22semidirect
139. #14582782C22semidirect
140. #14582781C22semidirect
141. #14582780C22semidirect
142. #14582774C22semidirect
143. #14582774C22semidirect
148. #14582773C22semidirect
149. #14582773C22semidirect
150. #14582773C22semidirect
151. #14582772C22semidirect
156. #14582770C22semidirect
160. #14582758C22semidirect
161. #14582757C22semidirect
163. #14582756C22semidirect
174. C2×#125×C43C22semidirect
176. C43×#399C22semidirect
177. C43×#399C22semidirect
178. C43×#398C22semidirect
179. C43×#397C22semidirect
180. C43×#396C22semidirect
183. C43×#389C22semidirect
184. C43×#388C22semidirect
185. C43×#388C22semidirect
186. C43×#387C22semidirect
187. C43×#385C22semidirect
188. C43×#380C22semidirect
814. #2694D43semidirect
856. C2×#125C2×D43semidirect
895. #399C2×D43semidirect
896. #399C2×D43semidirect
900. #398C2×D43semidirect
908. #397C2×D43semidirect
916. #396C2×D43semidirect
944. #389C2×D43semidirect
959. #388C2×D43semidirect
960. #388C2×D43semidirect
968. #387C2×D43semidirect
984. #385C2×D43semidirect
992. #380C2×D43semidirect
1003. C43#36711semidirect

Maximal subgroups

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

subgroupindex
C2×#145835292
C2×#123×D432
#191428832
#191428812
#191411222
#191411202
#191411172
#191411152
#191411102
#191411092
#191411082
#191408832
#191408802
#191408792
#191408782
#191408772
#191408762
#191408742
#191408732
#191404052
#191404012
#191399732
#191399692
#191388702
#191388672
#191388642
#191382452
#191382412
#191371942
C43×#26942
#3671143