Finite Group Databasebeta

← #25269967

Subgroups — #25269967

Order 11008.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142987C211yesmaximal, characteristic, complemented
2#19142984C211yesmaximal, characteristic, complemented
3#19142917C211yesmaximal, characteristic, complemented
4#19142910C211yesmaximal, characteristic, complemented
5#19140682C211yesmaximal, characteristic, complemented
6#19140637C211yesmaximal, characteristic, complemented
7#19140622C211yesmaximal, characteristic, complemented
8#19140577C211yesmaximal, characteristic, complemented
9#19140070C211yesmaximal, characteristic, complemented
10#19139938C211yesmaximal, characteristic, complemented
11#19139923C211yesmaximal, characteristic, complemented
12#19139908C211yesmaximal, characteristic, complemented
13#19139893C211yesmaximal, characteristic, complemented
14#19139878C211yesmaximal, characteristic, complemented
15#19139814C211yesmaximal, characteristic, complemented
16#19139551C211yesmaximal, characteristic
17#19139337C211yesmaximal, characteristic, complemented
18#19139214C211yesmaximal, characteristic, complemented
19#19139149C211yesmaximal, characteristic, complemented
20#19138856C211yesmaximal, characteristic, complemented
21#19138661C211yesmaximal, characteristic, complemented
22#19138502C211yesmaximal, characteristic, complemented
23#19138339C211yesmaximal, characteristic, complemented
24#19138324C211yesmaximal, characteristic, complemented
25#19137293C211yesmaximal, characteristic, complemented
26#19137293C211yesmaximal, characteristic, complemented
27#19137222C211yesmaximal, characteristic, complemented
28#19137222C211yesmaximal, characteristic, complemented
29C4×#13063299C211yesmaximal, characteristic, complemented
30C2×#14582783C211yesmaximal, characteristic, complemented
31C42×D4×C43C211yesmaximal, characteristic, complemented
32C2×#13063319C2211yescharacteristic
33C2×#13063308C2211yescharacteristic
34C2×#13063299C2211yescharacteristic
35C2×#13063297C2211yescharacteristic
36C2×#13063297C2211yescharacteristic
37C2×C4×D172C2211yescharacteristic
38C2×C4×C22⋊D43C2211yescharacteristic
39C2×C4×C22⋊D43C2211yescharacteristic
40C22×Dic43⋊C4C2211yescharacteristic
41C22×Dic43⋊C4C2211yescharacteristic
42C43⋊#401C2211yescharacteristic
43#14582841C2211yescharacteristic
44#14582841C2211yescharacteristic
45#14582840C2211yescharacteristic
46#14582840C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582839C2211yescharacteristic
49#14582839C2211yescharacteristic
50#14582837C2211yescharacteristic
51#14582834C2211yescharacteristic
52#14582833C2211yescharacteristic
53#14582833C2211yescharacteristic
54#14582832C2211yescharacteristic
55#14582832C2211yescharacteristic
56#14582830C2211yescharacteristic
57#14582829C2211yescharacteristic
58#14582828C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582827C2211yescharacteristic
62#14582827C2211yescharacteristic
63#14582825C2211yescharacteristic
64#14582824C2211yescharacteristic
65#14582823C2211yescharacteristic
66#14582822C2211yescharacteristic
67#14582822C2211yescharacteristic
68#14582817C2211yescharacteristic
69#14582817C2211yescharacteristic
70#14582816C2211yescharacteristic
71#14582814C2211yescharacteristic
72#14582814C2211yescharacteristic
73#14582808C2211yescharacteristic
74#14582801C2211yescharacteristic
75#14582797C2211yescharacteristic
76#14582790C2211yescharacteristic
77#14582790C2211yescharacteristic
78#14582790C2211yescharacteristic
79#14582790C2211yescharacteristic
80#14582790C2211yescharacteristic
81#14582790C2211yescharacteristic
82#14582790C2211yescharacteristic
83#14582790C2211yescharacteristic
84#14582790C2211yescharacteristic
85#14582790C2211yescharacteristic
86#14582790C2211yescharacteristic
87#14582790C2211yescharacteristic
88#14582790C2211yescharacteristic
89#14582790C2211yescharacteristic
90#14582790C2211yescharacteristic
91#14582790C2211yescharacteristic
92#14582790C2211yescharacteristic
93#14582790C2211yescharacteristic
94#14582790C2211yescharacteristic
95#14582787C2211yescharacteristic
96#14582787C2211yescharacteristic
97#14582783C2211yescharacteristic
98#14582783C2211yescharacteristic
99#14582783C2211yescharacteristic
100#14582783C2211yescharacteristic
101#14582783C2211yescharacteristic
102#14582783C2211yescharacteristic
103#14582783C2211yescharacteristic
104#14582783C2211yescharacteristic
105#14582783C2211yescharacteristic
106#14582783C2211yescharacteristic
107#14582783C2211yescharacteristic
108#14582783C2211yescharacteristic
109#14582783C2211yescharacteristic
110#14582783C2211yescharacteristic
111#14582783C2211yescharacteristic
112#14582783C2211yescharacteristic
113#14582783C2211yescharacteristic
114#14582783C2211yescharacteristic
115#14582783C2211yescharacteristic
116#14582783C2211yescharacteristic
117#14582783C2211yescharacteristic
118#14582783C2211yescharacteristic
119#14582783C2211yescharacteristic
120#14582783C2211yescharacteristic
121#14582783C2211yescharacteristic
122#14582780C2211yescharacteristic
123#14582780C2211yescharacteristic
124#14582779C2211yescharacteristic
125#14582779C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582778C2211yescharacteristic
132#14582778C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582776C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582776C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582772C2211yescharacteristic
142#14582772C2211yescharacteristic
143#14582772C2211yescharacteristic
144#14582772C2211yescharacteristic
145#14582772C2211yescharacteristic
146#14582771C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582771C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582767C2211yescharacteristic
153#14582766C2211yescharacteristic
154#14582766C2211yescharacteristic
155#14582763C2211yescharacteristic
156#14582763C2211yescharacteristic
157#14582762C2211yescharacteristic
158#14582761C2211yescharacteristic
159#14582761C2211yescharacteristic
160#14582759C2211yescharacteristic
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582757C2211yescharacteristic
164#14582757C2211yescharacteristic
165C4×C4⋊Dic43C2211yescharacteristic
166C4×(C2×D43)⋊C4C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic
168C2×C43⋊#95C2211yescharacteristic
169C2×C43⋊#95C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×C4×D4×C43C2211yescharacteristic
173C2×C4×D4×C43C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C22×C42×C43C2211yescharacteristic
176C22×C42×C43C2211yescharacteristic
177C4×C4⋊C4×C43C2211yescharacteristic
178C4×C4⋊C4×C43C2211yescharacteristic
179C4×C4⋊C4×C43C2211yescharacteristic
180C4×C22⋊C4×C43C2211yescharacteristic
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C43×C43C2211yescharacteristic
187C22×D172C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198#13063319—42no—
199#13063308—42no—
200#13063299—24no—
201#13063297—24no—
202#13063297—24no—
203C4×D172—42no—
204C4×C22⋊D43—24no—
205C4×C22⋊D43—24no—
206C2×C4⋊Dic43C2311yescharacteristic
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×Dic43⋊C4—24no—
210C2×Dic43⋊C4—42no—
211C2×Dic43⋊C4C2311yescharacteristic
212C2×Dic43⋊C4C2311yescharacteristic
213C2×Dic43⋊C4C2311yescharacteristic
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×(C2×D43)⋊C4C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
266C2×C4×Dic43C2311yescharacteristic
267C43⋊#95C2311yescharacteristic
268C43⋊#95C2311yescharacteristic
269C43⋊#95C2311yescharacteristic
270C43⋊#95C2311yescharacteristic
271C43⋊#95C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
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
317C22×D4×C43C2311yescharacteristic
318C23×C4×C43C2311yescharacteristic
319C23×C4×C43C2311yescharacteristic
320C23×C4×C43C2311yescharacteristic
321C23×C4×C43C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323C23×C4×C43C2311yescharacteristic
324C4×D4×C43—24no—
325C4×D4×C43—24no—
326C4×D4×C43—24no—
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C22⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C22⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C42×C43—42no—
337C2×C42×C43—42no—
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341C2×C42×C43C2311yescharacteristic
342C2×C42×C43C2311yescharacteristic
343C2×C42×C43C2311yescharacteristic
344C2×C42×C43C2311yescharacteristic
345C2×C42×C43C2311yescharacteristic
346C2×C42×C43C2311yescharacteristic
347C2×C42×C43C2311yescharacteristic
348C2×C42×C43C2311yescharacteristic
349C2×C42×C43C2311yescharacteristic
350C2×C42×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×D4×C43—22no—
362C2×D4×C43—22no—
363C2×D4×C43#4114yes—
364C22×C4×C43—22no—
365C22×C4×C43—22no—
366C22×C4×C43—22no—
367C22×C4×C43—22no—
368C22×C4×C43—22no—
369C22×C4×C43—22no—
370C22×C4×C43—41no—
371C22×C4×C43—41no—
372C22×C4×C43—41no—
373C22×C4×C43—41no—
374C22×C4×C43—41no—
375C22×C4×C43—41no—
376C22×C4×C43—41no—
377C22×C4×C43—41no—
378C22×C4×C43—41no—
379C22×C4×C43—41no—
380C22×C4×C43#4114yes—
381C22×C4×C43#4114yes—
382C22×C4×C43C2411yescharacteristic
383C22×C4×C43C2411yescharacteristic
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C2×C22⋊D43—22no—
396C2×C22⋊D43—22no—
397C2×C22⋊D43—22no—
398C2×C22⋊D43—22no—
399C2×C22⋊D43—22no—
400C2×C22⋊D43—22no—
401C2×C22⋊D43—22no—
402C2×C22⋊D43—22no—
403C2×C22⋊D43—41no—
404C2×C22⋊D43—41no—
405C2×C22⋊D43—41no—
406C2×C22⋊D43—41no—
407C22×Dic43—22no—
408C22×Dic43—22no—
409C22×Dic43—22no—
410C22×Dic43—22no—
411C22×Dic43—41no—
412C22×Dic43—41no—
413C22×Dic43—41no—
414C22×Dic43—41no—
415C22×Dic43—41no—
416C22×Dic43—41no—
417C22×Dic43—41no—
418C22×Dic43—41no—
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C2×D172—22no—
434C2×D172—41no—
435C2×D172—41no—
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—41no—
439C2×C4×D43—41no—
440C2×C4×D43—41no—
441C2×C4×D43—41no—
442C4⋊C4×C43—22no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C22⋊C4×C43—22no—
446C22⋊C4×C43—22no—
447C22⋊C4×C43—22no—
448C22⋊C4×C43—22no—
449C22⋊C4×C43—22no—
450C22⋊C4×C43—22no—
451C42×C43—22no—
452C42×C43—22no—
453C42×C43—22no—
454C42×C43—22no—
455C42×C43—22no—
456C42×C43—22no—
457C42×C43—41no—
458C42×C43—41no—
459C42×C43—41no—
460C42×C43—41no—
461C42×C43—41no—
462C42×C43—41no—
463C42×C43—41no—
464C22⋊Dic43—22no—
465C22⋊Dic43—22no—
466C22⋊Dic43—22no—
467C22⋊Dic43—22no—
468C22⋊Dic43—41no—
469C22⋊Dic43—41no—
470C22⋊Dic43—41no—
471C22⋊Dic43—41no—
472(C2×D43)⋊C4—22no—
473(C2×D43)⋊C4—22no—
474(C2×D43)⋊C4—22no—
475(C2×D43)⋊C4—22no—
476(C2×D43)⋊C4—22no—
477(C2×D43)⋊C4—22no—
478(C2×D43)⋊C4—22no—
479(C2×D43)⋊C4—22no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482(C2×D43)⋊C4—41no—
483(C2×D43)⋊C4—41no—
484(C2×D43)⋊C4—41no—
485(C2×D43)⋊C4—41no—
486(C2×D43)⋊C4—41no—
487(C2×D43)⋊C4—41no—
488(C2×D43)⋊C4—41no—
489(C2×D43)⋊C4—41no—
490(C2×D43)⋊C4—41no—
491(C2×D43)⋊C4—41no—
492(C2×D43)⋊C4—41no—
493(C2×D43)⋊C4—41no—
494C4⋊Dic43—22no—
495C4⋊Dic43—41no—
496C4⋊Dic43—41no—
497Dic43⋊C4—22no—
498Dic43⋊C4—22no—
499Dic43⋊C4—22no—
500Dic43⋊C4—22no—
501Dic43⋊C4—22no—
502Dic43⋊C4—22no—
503Dic43⋊C4—22no—
504Dic43⋊C4—22no—
505Dic43⋊C4—22no—
506Dic43⋊C4—22no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517Dic43⋊C4—41no—
518Dic43⋊C4—41no—
519Dic43⋊C4—41no—
520Dic43⋊C4—41no—
521C4×Dic43—22no—
522C4×Dic43—22no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43C2×#4112yes—
534C23×C43C2×#4112yes—
535C23×C43C2×#4112yes—
536C23×C43C2×#4112yes—
537C23×C43C2511yescharacteristic
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—21no—
543C22×D43—21no—
544C22×D43—21no—
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43—21no—
552D4×C43—28no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—44no—
587C2×C4×C43—44no—
588C2×C4×C43—44no—
589C2×C4×C43—44no—
590C2×C4×C43—44no—
591C2×C4×C43—44no—
592C2×C4×C43C2×#4112yes—
593C2×C4×C43C2×#4112yes—
594C2×C4×C43C2×#4112yes—
595C2×C4×C43C2×#4112yes—
596C2×C4×C43C2×#4112yes—
597C2×C4×C43H(5,𝔽2)12yes—
598C22⋊D43—44no—
599C22⋊D43—44no—
600C22⋊D43—82no—
601C22⋊D43—82no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—44no—
645C2×Dic43—44no—
646C2×Dic43—82no—
647C2×Dic43—82no—
648D172—44no—
649C4×D43—82no—
650C4×D43—82no—
651#35028—431nomaximal, Sylow
652C22×C43—22no—
653C22×C43—22no—
654C22×C43—22no—
655C22×C43—22no—
656C22×C43—22no—
657C22×C43—22no—
658C22×C43—22no—
659C22×C43—22no—
660C22×C43—22no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43#52914yes—
666C22×C43C22×#4111yescharacteristic
667C22×C43C22×#4111yescharacteristic
668C22×C43C22×#4111yescharacteristic
669C22×C43C2×H(5,𝔽2)11yescharacteristic
670C22×C43#58511yescharacteristic
671C22×C43#58511yescharacteristic
672C22×C43#58511yescharacteristic
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—41no—
677C2×D43—41no—
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C2×D43—41no—
684C2×D43—41no—
685C2×D43—41no—
686C2×D43—41no—
687C4×C43—22no—
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—22no—
691C4×C43—22no—
692C4×C43—22no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700Dic43—41no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712Dic43—41no—
713Dic43—41no—
714#2866—431no—
715#2865—431no—
716#2853—431no—
717#2852—431no—
718#2655—431no—
719#2652—431no—
720#2651—431no—
721#2648—431no—
722#2591—431no—
723#2579—431no—
724#2578—431no—
725#2577—431no—
726#2576—431no—
727#2575—431no—
728#2569—431no—
729#2543—431no—
730#2524—431no—
731#2515—431no—
732#2510—431no—
733#2481—431no—
734#2468—431no—
735#2457—431no—
736#2444—431no—
737#2443—431no—
738#2325—431no—
739#2325—431no—
740#2318—431no—
741#2318—431no—
742C4×#121—431no—
743C2×#387—431no—
744C42×D4D4311yescharacteristic, complemented
745C2×C43—24no—
746C2×C43—42no—
747C2×C43C2×#52911yescharacteristic
748C2×C43#345511yescharacteristic
749C2×C43#345911yescharacteristic
750C2×C43#350511yescharacteristic
751C2×C43#351211yescharacteristic
752C2×C43#351311yescharacteristic
753C2×C43#352111yescharacteristic
754D43—81no—
755D43—81no—
756C2×#126—431no—
757C2×#123—431no—
758C2×#121—431no—
759C2×#121—431no—
760C2×#121—431no—
761C2×C4×D4—431no—
762C2×C4×D4—431no—
763C2×C4×D4—431no—
764C2×C4×D4C2×D4311yescharacteristic
765C2×C4×D4C2×D4311yescharacteristic
766C2×C4×D4C2×D4311yescharacteristic
767C22×C4⋊C4—431no—
768C22×C4⋊C4—431no—
769C22×C42C2×D4311yescharacteristic
770C22×C42C2×D4311yescharacteristic
771#401—431no—
772#400—431no—
773#400—431no—
774#400—431no—
775#400—431no—
776#400—431no—
777#400—431no—
778#400—431no—
779#400—431no—
780#399—431no—
781#398—431no—
782#398—431no—
783#398—431no—
784#398—431no—
785#398—431no—
786#398—431no—
787#397—431no—
788#397—431no—
789#397—431no—
790#397—431no—
791#397—431no—
792#397—431no—
793#397—431no—
794#396—431no—
795#396—431no—
796#396—431no—
797#394—431no—
798#394—431no—
799#394—431no—
800#394—431no—
801#394—431no—
802#392—431no—
803#390—431no—
804#389—431no—
805#388—431no—
806#388—431no—
807#388—431no—
808#388—431no—
809#388—431no—
810#388—431no—
811#388—431no—
812#388—431no—
813#388—431no—
814#388—431no—
815#388—431no—
816#388—431no—
817#388—431no—
818#388—431no—
819#388—431no—
820#388—431no—
821#388—431no—
822#388—431no—
823#388—431no—
824#388—431no—
825#388—431no—
826#387—431no—
827#387—431no—
828#387—431no—
829#387—431no—
830#387—431no—
831#387—431no—
832#387—431no—
833#387—431no—
834#387—431no—
835#387—431no—
836#387—431no—
837#387—431no—
838#387—431no—
839#387—431no—
840#387—431no—
841#387—431no—
842#387—431no—
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387—431no—
853#386—431no—
854#386—431no—
855#386—431no—
856#386—431no—
857#386—431no—
858#386—431no—
859#386—431no—
860#386—431no—
861#386—431no—
862#386—431no—
863#386—431no—
864#386—431no—
865#386—431no—
866#386—431no—
867#386—431no—
868#386—431no—
869#386—431no—
870#385—431no—
871#385—431no—
872#385—431no—
873#385—431no—
874#385—431no—
875#385—431no—
876#385—431no—
877#385—431no—
878#385—431no—
879#385—431no—
880#385—431no—
881#383—431no—
882#383—431no—
883#383—431no—
884#382—431no—
885#382—431no—
886#381—431no—
887#381—431no—
888#381—431no—
889#380—431no—
890#380—431no—
891#380—431no—
892#380—431no—
893#380—431no—
894C4×C4⋊C4—431no—
895C4×C4⋊C4C2×D4311yescharacteristic
896C4×C4⋊C4C2×D4311yescharacteristic
897C4×C4⋊C4C2×D4311yescharacteristic
898C4×C22⋊C4—431no—
899C4×C22⋊C4—431no—
900C4×C22⋊C4C2×D4311yescharacteristic
901C4×C22⋊C4C2×D4311yescharacteristic
902C4×C22⋊C4C2×D4311yescharacteristic
903C4×C22⋊C4C2×D4311yescharacteristic
904C4×C22⋊C4C2×D4311yescharacteristic
905C4×C22⋊C4C2×D4311yescharacteristic
906C2×#95—431no—
907C2×#95—431no—
908C2×#95—431no—
909C2×#95—431no—
910C43C2×D4311yescharacteristic
911C43#3502811yescharacteristic, complemented, Sylow
912C22×D4—431no—
913C22×D4—431no—
914C22×D4—431no—
915C22×D4—431no—
916C22×D4—431no—
917C22×D4C22×D4311yescharacteristic
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C23×C4C22×D4311yescharacteristic
925C23×C4C22×D4311yescharacteristic
926C23×C4C22×D4311yescharacteristic
927C23×C4C22×D4311yescharacteristic
928C23×C4C22×D4311yescharacteristic
929C23×C4C22×D4311yescharacteristic
930#126—1722no—
931#123—1722no—
932#121—864no—
933#121—864no—
934#121—864no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—864no—
939C4×D4—864no—
940C4×D4—1722no—
941C2×C4⋊C4—431no—
942C2×C4⋊C4—431no—
943C2×C4⋊C4—431no—
944C2×C4⋊C4—431no—
945C2×C4⋊C4—431no—
946C2×C4⋊C4—431no—
947C2×C4⋊C4—431no—
948C2×C4⋊C4—431no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—431no—
956C2×C4⋊C4—431no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4—431no—
965C2×C4⋊C4—431no—
966C2×C4⋊C4—431no—
967C2×C4⋊C4—431no—
968C2×C4⋊C4—864no—
969C2×C4⋊C4—1722no—
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C22⋊C4—431no—
974C2×C22⋊C4—431no—
975C2×C22⋊C4—431no—
976C2×C22⋊C4—431no—
977C2×C22⋊C4—431no—
978C2×C22⋊C4—431no—
979C2×C22⋊C4—431no—
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4C22×D4311yescharacteristic
1004C2×C22⋊C4C22×D4311yescharacteristic
1005C2×C22⋊C4C22×D4311yescharacteristic
1006C2×C22⋊C4C22×D4311yescharacteristic
1007C2×C22⋊C4C22×D4311yescharacteristic
1008C2×C22⋊C4C22×D4311yescharacteristic
1009C2×C42—42no—
1010C2×C42—42no—
1011C2×C42—431no—
1012C2×C42—431no—
1013C2×C42C22×D4311yescharacteristic
1014C2×C42C22×D4311yescharacteristic
1015C2×C42C22×D4311yescharacteristic
1016C2×C42C22×D4311yescharacteristic
1017C2×C42C22×D4311yescharacteristic
1018C2×C42C22×D4311yescharacteristic
1019C2×C42C22×D4311yescharacteristic
1020C2×C42C22×D4311yescharacteristic
1021C2×C42C22×D4311yescharacteristic
1022C2×C42C22×D4311yescharacteristic
1023C2×C42C22×D4311yescharacteristic
1024C2×C42C22×D4311yescharacteristic
1025C2×C42C22×D4311yescharacteristic
1026#95—431no—
1027#95—431no—
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95—431no—
1047#95—431no—
1048#95—431no—
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95—431no—
1065#95—431no—
1066#95—431no—
1067#95—431no—
1068#95—431no—
1069#95—431no—
1070#95—431no—
1071#95—431no—
1072#95—431no—
1073#95—431no—
1074#95—431no—
1075#95—431no—
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078#95C22×D4311yescharacteristic
1079#95C22×D4311yescharacteristic
1080#95C22×D4311yescharacteristic
1081#95C22×D4311yescharacteristic
1082C24—431no—
1083C24—431no—
1084C24C23×D4311yescharacteristic
1085C24C23×D4311yescharacteristic
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—862no—
1089C2×D4—862no—
1090C2×D4—862no—
1091C2×D4—862no—
1092C2×D4—862no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—862no—
1096C2×D4—862no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C2×D4—1721no—
1103C2×D4#1062189814yes—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—431no—
1125C22×C4—431no—
1126C22×C4—431no—
1127C22×C4—431no—
1128C22×C4—431no—
1129C22×C4—431no—
1130C22×C4—431no—
1131C22×C4—431no—
1132C22×C4—431no—
1133C22×C4—431no—
1134C22×C4—862no—
1135C22×C4—862no—
1136C22×C4—862no—
1137C22×C4—862no—
1138C22×C4—862no—
1139C22×C4—862no—
1140C22×C4—1721no—
1141C22×C4—1721no—
1142C22×C4—1721no—
1143C22×C4—1721no—
1144C22×C4—1721no—
1145C22×C4—1721no—
1146C22×C4—1721no—
1147C22×C4—1721no—
1148C22×C4—1721no—
1149C22×C4—1721no—
1150C22×C4—1721no—
1151C22×C4—1721no—
1152C22×C4#1062189814yes—
1153C22×C4#1062189814yes—
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C22×C4C23×D4311yescharacteristic
1157C22×C4C23×D4311yescharacteristic
1158C22×C4C23×D4311yescharacteristic
1159C22×C4C23×D4311yescharacteristic
1160C22×C4C23×D4311yescharacteristic
1161C22×C4C23×D4311yescharacteristic
1162C22×C4C23×D4311yescharacteristic
1163C22×C4C23×D4311yescharacteristic
1164C22×C4C23×D4311yescharacteristic
1165C22×C4C23×D4311yescharacteristic
1166C22×C4C23×D4311yescharacteristic
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—862no—
1171C4⋊C4—862no—
1172C4⋊C4—862no—
1173C4⋊C4—862no—
1174C4⋊C4—862no—
1175C4⋊C4—862no—
1176C4⋊C4—862no—
1177C4⋊C4—862no—
1178C4⋊C4—862no—
1179C4⋊C4—862no—
1180C4⋊C4—862no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C4⋊C4—1721no—
1190C4⋊C4—1721no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C4⋊C4—1721no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—862no—
1204C22⋊C4—862no—
1205C22⋊C4—862no—
1206C22⋊C4—862no—
1207C22⋊C4—862no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
1212C22⋊C4—862no—
1213C22⋊C4—862no—
1214C22⋊C4—862no—
1215C22⋊C4—1721no—
1216C22⋊C4—1721no—
1217C22⋊C4—1721no—
1218C22⋊C4—1721no—
1219C22⋊C4—1721no—
1220C22⋊C4—1721no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C22⋊C4—1721no—
1232C22⋊C4—1721no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—22no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—862no—
1247C42—862no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—861no—
1259C23—861no—
1260C23—861no—
1261C23—861no—
1262C23—861no—
1263C23—861no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23—861no—
1272C23C2×#1062189812yes—
1273C23C2×#1062189812yes—
1274C23C2×#1062189812yes—
1275C23C2×#1062189812yes—
1276C23C24×D4311yescharacteristic
1277D4—28no—
1278D4—3442no—
1279D4—3442no—
1280D4—1724no—
1281D4—1724no—
1282D4—1724no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—861no—
1323C2×C4—861no—
1324C2×C4—861no—
1325C2×C4—861no—
1326C2×C4—861no—
1327C2×C4—861no—
1328C2×C4—861no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—861no—
1362C2×C4—861no—
1363C2×C4—861no—
1364C2×C4—3442no—
1365C2×C4—3442no—
1366C2×C4—3442no—
1367C2×C4—3442no—
1368C2×C4—1724no—
1369C2×C4—1724no—
1370C2×C4C2×#1062189812yes—
1371C2×C4C2×#1062189812yes—
1372C2×C4C2×#1062189812yes—
1373C2×C4C2×#1062189812yes—
1374C2×C4C2×#1062189812yes—
1375C2×C4#1306337012yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—1721no—
1390C22—1721no—
1391C22—1721no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22—1721no—
1397C22—1721no—
1398C22—1721no—
1399C22—1721no—
1400C22—1721no—
1401C22—1721no—
1402C22—1721no—
1403C22#1458343314yes—
1404C22C22×#1062189811yescharacteristic
1405C22C22×#1062189811yescharacteristic
1406C22C22×#1062189811yescharacteristic
1407C22C2×#1306337011yescharacteristic
1408C22#1458373511yescharacteristic
1409C22#1458373511yescharacteristic
1410C22#1458373511yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—22no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C4—1721no—
1435C4—1721no—
1436C4—1721no—
1437C4—1721no—
1438C2—24no—
1439C2—42no—
1440C2—3441no—
1441C2—3441no—
1442C2C2×#1458343311yescharacteristic
1443C2#1914798011yescharacteristic
1444C2#1914800411yescharacteristic
1445C2#1914843411yescharacteristic
1446C2#1914851711yescharacteristic
1447C2#1914853511yescharacteristic
1448C2#1914866311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC42×D4×C43C2
prime radical#19139551C2
hypercenterC42×D4D43
hypocenterC43#35028
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
1. #19142987C2semidirect
2. #19142984C2semidirect
3. #19142917C2semidirect
4. #19142910C2semidirect
5. #19140682C2semidirect
6. #19140637C2semidirect
7. #19140622C2semidirect
8. #19140577C2semidirect
9. #19140070C2semidirect
10. #19139938C2semidirect
11. #19139923C2semidirect
12. #19139908C2semidirect
13. #19139893C2semidirect
14. #19139878C2semidirect
15. #19139814C2semidirect
17. #19139337C2semidirect
18. #19139214C2semidirect
19. #19139149C2semidirect
20. #19138856C2semidirect
21. #19138661C2semidirect
22. #19138502C2semidirect
23. #19138339C2semidirect
24. #19138324C2semidirect
25. #19137293C2semidirect
26. #19137293C2semidirect
27. #19137222C2semidirect
28. #19137222C2semidirect
29. C4×#13063299C2semidirect
30. C2×#14582783C2semidirect
31. C42×D4×C43C2semidirect
744. C42×D4D43semidirect
911. C43#35028semidirect

Maximal subgroups

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

subgroupindex
#191429872
#191429842
#191429172
#191429102
#191406822
#191406372
#191406222
#191405772
#191400702
#191399382
#191399232
#191399082
#191398932
#191398782
#191398142
#191395512
#191393372
#191392142
#191391492
#191388562
#191386612
#191385022
#191383392
#191383242
#191372932
#191372222
C4×#130632992
C2×#145827832
C42×D4×C432
#3502843