Finite Group Databasebeta

← #25304167

Subgroups — #25304167

Order 11008.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583499C211yesmaximal, characteristic, complemented
2C2×#14583490C211yesmaximal, characteristic, complemented
3#19142923C211yesmaximal, characteristic, complemented
4#19142892C211yesmaximal, characteristic, complemented
5#19141464C211yesmaximal, characteristic, complemented
6#19141352C211yesmaximal, characteristic, complemented
7#19141323C211yesmaximal, characteristic, complemented
8#19141306C211yesmaximal, characteristic, complemented
9#19141283C211yesmaximal, characteristic, complemented
10#19141240C211yesmaximal, characteristic, complemented
11#19141124C211yesmaximal, characteristic, complemented
12#19141102C211yesmaximal, characteristic, complemented
13#19141067C211yesmaximal, characteristic, complemented
14#19141028C211yesmaximal, characteristic, complemented
15#19141019C211yesmaximal, characteristic, complemented
16#19140898C211yesmaximal, characteristic, complemented
17#19140854C211yesmaximal, characteristic, complemented
18#19140853C211yesmaximal, characteristic, complemented
19#19140826C211yesmaximal, characteristic, complemented
20#19140742C211yesmaximal, characteristic, complemented
21#19140722C211yesmaximal, characteristic, complemented
22#19140294C211yesmaximal, characteristic, complemented
23#19140221C211yesmaximal, characteristic, complemented
24#19140205C211yesmaximal, characteristic, complemented
25#19140193C211yesmaximal, characteristic, complemented
26#19140069C211yesmaximal, characteristic, complemented
27#19139758C211yesmaximal, characteristic, complemented
28#19138016C211yesmaximal, characteristic, complemented
29#19137995C211yesmaximal, characteristic, complemented
30#19137031C211yesmaximal, characteristic, complemented
31C43×#2691C211yesmaximal, characteristic, complemented
32#14583499—28no—
33#14583490—28no—
34C2×#13063321C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063317C2211yescharacteristic
37C2×#13063316C2211yescharacteristic
38C2×#13063315C2211yescharacteristic
39C2×#13063311C2211yescharacteristic
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063309C2211yescharacteristic
44C2×#13063308C2211yescharacteristic
45C2×#13063307C2211yescharacteristic
46C2×#13063307C2211yescharacteristic
47C2×#13063307C2211yescharacteristic
48C2×#13063306C2211yescharacteristic
49C2×#13063305C2211yescharacteristic
50C2×#13063303C2211yescharacteristic
51C2×#13063302C2211yescharacteristic
52C2×#13063298C2211yescharacteristic
53C2×#13063298C2211yescharacteristic
54C2×#13063297C2211yescharacteristic
55C2×#13063297C2211yescharacteristic
56C2×#13063297C2211yescharacteristic
57C2×#13063297C2211yescharacteristic
58C2×#13063296C2211yescharacteristic
59C2×#13063296C2211yescharacteristic
60C2×C4×D172C2211yescharacteristic
61C2×C4×C22⋊D43C2211yescharacteristic
62C2×(C22⋊D43)⋊C4C2211yescharacteristic
63C2×#13063283C2211yescharacteristic
64C2×#13063281C2211yescharacteristic
65C2×C4⋊C4×D43C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic
67#14582840C2211yescharacteristic
68#14582840C2211yescharacteristic
69#14582840C2211yescharacteristic
70#14582839C2211yescharacteristic
71#14582839C2211yescharacteristic
72#14582838C2211yescharacteristic
73#14582835C2211yescharacteristic
74#14582835C2211yescharacteristic
75#14582832C2211yescharacteristic
76#14582832C2211yescharacteristic
77#14582832C2211yescharacteristic
78#14582832C2211yescharacteristic
79#14582830C2211yescharacteristic
80#14582828C2211yescharacteristic
81#14582828C2211yescharacteristic
82#14582827C2211yescharacteristic
83#14582825C2211yescharacteristic
84#14582824C2211yescharacteristic
85#14582821C2211yescharacteristic
86#14582821C2211yescharacteristic
87#14582821C2211yescharacteristic
88#14582819C2211yescharacteristic
89#14582817C2211yescharacteristic
90#14582817C2211yescharacteristic
91#14582815C2211yescharacteristic
92#14582815C2211yescharacteristic
93#14582815C2211yescharacteristic
94#14582814C2211yescharacteristic
95#14582814C2211yescharacteristic
96#14582814C2211yescharacteristic
97#14582814C2211yescharacteristic
98#14582814C2211yescharacteristic
99#14582813C2211yescharacteristic
100#14582813C2211yescharacteristic
101#14582811C2211yescharacteristic
102#14582809C2211yescharacteristic
103#14582808C2211yescharacteristic
104#14582808C2211yescharacteristic
105#14582808C2211yescharacteristic
106#14582808C2211yescharacteristic
107#14582808C2211yescharacteristic
108#14582807C2211yescharacteristic
109#14582803C2211yescharacteristic
110#14582800C2211yescharacteristic
111#14582799C2211yescharacteristic
112#14582799C2211yescharacteristic
113#14582799C2211yescharacteristic
114#14582799C2211yescharacteristic
115#14582797C2211yescharacteristic
116#14582796C2211yescharacteristic
117#14582796C2211yescharacteristic
118#14582796C2211yescharacteristic
119#14582795C2211yescharacteristic
120#14582792C2211yescharacteristic
121#14582792C2211yescharacteristic
122#14582792C2211yescharacteristic
123#14582792C2211yescharacteristic
124#14582792C2211yescharacteristic
125#14582791C2211yescharacteristic
126#14582791C2211yescharacteristic
127#14582791C2211yescharacteristic
128#14582790C2211yescharacteristic
129#14582789C2211yescharacteristic
130#14582789C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582788C2211yescharacteristic
133#14582788C2211yescharacteristic
134#14582787C2211yescharacteristic
135#14582787C2211yescharacteristic
136#14582786C2211yescharacteristic
137#14582786C2211yescharacteristic
138#14582781C2211yescharacteristic
139#14582781C2211yescharacteristic
140#14582780C2211yescharacteristic
141#14582779C2211yescharacteristic
142#14582778C2211yescharacteristic
143#14582778C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582778C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582776C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582776C2211yescharacteristic
152#14582775C2211yescharacteristic
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic
155#14582775C2211yescharacteristic
156#14582774C2211yescharacteristic
157#14582774C2211yescharacteristic
158#14582773C2211yescharacteristic
159#14582771C2211yescharacteristic
160#14582771C2211yescharacteristic
161#14582770C2211yescharacteristic
162#14582770C2211yescharacteristic
163#14582763C2211yescharacteristic
164#14582761C2211yescharacteristic
165#14582759C2211yescharacteristic
166#14582757C2211yescharacteristic
167#14582756C2211yescharacteristic
168#14582756C2211yescharacteristic
169#14582756C2211yescharacteristic
170C4⋊C4×Dic43C2211yescharacteristic
171C22⋊C4×Dic43C2211yescharacteristic
172#14582746C2211yescharacteristic
173#14582744C2211yescharacteristic
174C2×#126×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#397C2211yescharacteristic
178C43×#396C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#394C2211yescharacteristic
181C43×#394C2211yescharacteristic
182C43×#390C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#385C2211yescharacteristic
187C43×#385C2211yescharacteristic
188C43×#380C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063321—24no—
211#13063320—24no—
212#13063317—24no—
213#13063316—24no—
214#13063315—24no—
215#13063311—42no—
216#13063310—24no—
217#13063310—24no—
218#13063310—42no—
219#13063309—24no—
220#13063308—24no—
221#13063307—24no—
222#13063307—24no—
223#13063307—24no—
224#13063306—24no—
225#13063305—24no—
226#13063303—24no—
227#13063302—24no—
228#13063298—24no—
229#13063298—24no—
230#13063297—24no—
231#13063297—24no—
232#13063297—24no—
233#13063297—42no—
234#13063296—24no—
235#13063296—42no—
236C4×D172—24no—
237C4×C22⋊D43—24no—
238(C22⋊D43)⋊C4D418yescomplemented
239#13063283—42no—
240#13063281—24no—
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×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
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
267C4⋊C4×D43—24no—
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×C4×Dic43—42no—
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C23×C4×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347#126×C43—24no—
348#121×C43—24no—
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊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×C42×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382C23×D43C2411yescharacteristic
383C23×D43C2411yescharacteristic
384C23×D43C2411yescharacteristic
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C22×C4×C43—22no—
395C22×C4×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
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—22no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43C2×D414yes—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—41no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43C2×D414yes—
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—41no—
464C2×D172—41no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43C2×D414yes—
485C2×Dic86—22no—
486C2×Dic86—41no—
487C2×Dic86—41no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
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—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43C2×D414yes—
509C42×C43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—41no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
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—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
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)⋊C4C2×D414yes—
547C4⋊Dic43—22no—
548C4⋊Dic43—22no—
549C4⋊Dic43—22no—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—22no—
553C4⋊Dic43—22no—
554C4⋊Dic43—41no—
555C4⋊Dic43—41no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4C2×D414yes—
573C4×Dic43—22no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—41no—
577C4×Dic43—41no—
578C4×Dic43—41no—
579C4×Dic43—41no—
580C4×Dic43C2×D414yes—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
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×C43—21no—
601C23×C43C22×D412yes—
602C23×C43C2511yescharacteristic
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
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—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43C22×D412yes—
624D4×C43—82no—
625D4×C43—82no—
626D4×C43—82no—
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—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—44no—
662C2×C4×C43—82no—
663C2×C4×C43C22×D412yes—
664C2×C4×C43C22×D412yes—
665C22⋊D43—44no—
666C22⋊D43—44no—
667C22⋊D43—82no—
668C22⋊D43—82no—
669C22⋊D43—82no—
670C22⋊D43—82no—
671C22⋊D43—82no—
672C22⋊D43—82no—
673C22⋊D43—82no—
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—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—44no—
710C2×Dic43—44no—
711C2×Dic43—44no—
712C2×Dic43C22×D412yes—
713C2×Dic43C22×D412yes—
714C2×Dic43C22×D412yes—
715C2×Dic43H(5,𝔽2)12yes—
716D172—44no—
717D172—82no—
718D172—82no—
719C4×D43—44no—
720C4×D43—44no—
721C4×D43—82no—
722C4×D43—82no—
723C4×D43—82no—
724Dic86—82no—
725#36746—431nomaximal, Sylow
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—41no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
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×C43#58511yescharacteristic
750C22×C43#58511yescharacteristic
751C22×C43#58511yescharacteristic
752C22×C43#58511yescharacteristic
753C22×C43#58511yescharacteristic
754C2×D43—22no—
755C2×D43—22no—
756C2×D43—22no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
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—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—22no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800C2×#540—431no—
801C2×#539—431no—
802#2854—431no—
803#2850—431no—
804#2719—431no—
805#2711—431no—
806#2709—431no—
807#2708—431no—
808#2706—431no—
809#2703—431no—
810#2695—431no—
811#2693—431no—
812#2691D4311yescharacteristic, complemented
813#2690—431no—
814#2688—431no—
815#2687—431no—
816#2676—431no—
817#2673—431no—
818#2672—431no—
819#2671—431no—
820#2663—431no—
821#2661—431no—
822#2611—431no—
823#2603—431no—
824#2602—431no—
825#2601—431no—
826#2591—431no—
827#2562—431no—
828#2414—431no—
829#2413—431no—
830#2290—431no—
831C2×C43—42no—
832C2×C43—81no—
833C2×C43—81no—
834C2×C43#344911yescharacteristic
835C2×C43#349611yescharacteristic
836C2×C43#350011yescharacteristic
837C2×C43#353311yescharacteristic
838C2×C43#353911yescharacteristic
839C2×C43#356611yescharacteristic
840C2×C43#356711yescharacteristic
841D43—42no—
842D43—81no—
843D43—81no—
844#540—868no—
845#539—868no—
846C2×#127—431no—
847C2×#126—431no—
848C2×#126C2×D4311yescharacteristic
849C2×#125—431no—
850C2×#125—431no—
851C2×#125—431no—
852C2×#124—431no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123—431no—
857C2×#123—431no—
858C2×#123—431no—
859C2×#123—431no—
860C2×#123—431no—
861C2×#123—431no—
862C2×C22⋊Q8—431no—
863C2×C22⋊Q8—431no—
864C2×C22⋊Q8—431no—
865C2×#121—431no—
866C2×#121—431no—
867C2×#121—431no—
868C2×#121—431no—
869C2×#121—431no—
870C2×#121—431no—
871C2×#121—431no—
872C2×#121—431no—
873C2×#121C2×D4311yescharacteristic
874C2×C4×D4—431no—
875C2×C4×D4—431no—
876C2×C4×D4—431no—
877C2×#117—431no—
878C2×#117—431no—
879C22×C4⋊C4—431no—
880C22×C42—431no—
881#400—431no—
882#400—431no—
883#400—431no—
884#400—431no—
885#400—431no—
886#400—431no—
887#399—431no—
888#399—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398—431no—
894#398C2×D4311yescharacteristic
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397C2×D4311yescharacteristic
901#396—431no—
902#396—431no—
903#396—431no—
904#396C2×D4311yescharacteristic
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#394—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#394—431no—
918#394C2×D4311yescharacteristic
919#394C2×D4311yescharacteristic
920#394C2×D4311yescharacteristic
921#393—431no—
922#392—431no—
923#392—431no—
924#392—431no—
925#392—431no—
926#392—431no—
927#392—431no—
928#392—431no—
929#391—431no—
930#390—431no—
931#390—431no—
932#390—431no—
933#390—431no—
934#390—431no—
935#390C2×D4311yescharacteristic
936#389—431no—
937#389—431no—
938#389—431no—
939#389—431no—
940#389—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
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#387—431no—
958#387—431no—
959#387—431no—
960#387—431no—
961#387—431no—
962#387C2×D4311yescharacteristic
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#386—431no—
968#386—431no—
969#386—431no—
970#386—431no—
971#386—431no—
972#386—431no—
973#386—431no—
974#386—431no—
975#386—431no—
976#386—431no—
977#386—431no—
978#386C2×D4311yescharacteristic
979#386C2×D4311yescharacteristic
980#385—431no—
981#385—431no—
982#385—431no—
983#385—431no—
984#385—431no—
985#385—431no—
986#385—431no—
987#385C2×D4311yescharacteristic
988#385C2×D4311yescharacteristic
989#382—431no—
990#381—431no—
991#380—431no—
992#380—431no—
993#380—431no—
994#380—431no—
995#380—431no—
996#380C2×D4311yescharacteristic
997C4×C4⋊C4—431no—
998C4×C22⋊C4—431no—
999C4×C22⋊C4—431no—
1000#376—431no—
1001C43#3674611yescharacteristic, complemented, Sylow
1002C22×Q8—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4—431no—
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4C22×D4311yescharacteristic
1016C22×D4C22×D4311yescharacteristic
1017C22×D4C22×D4311yescharacteristic
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4—431no—
1024C23×C4—431no—
1025C23×C4—431no—
1026C23×C4C22×D4311yescharacteristic
1027C23×C4C22×D4311yescharacteristic
1028#127—864no—
1029#126—24no—
1030#126—864no—
1031#125—864no—
1032#125—864no—
1033#125—864no—
1034#124—1722no—
1035#123—864no—
1036#123—864no—
1037#123—864no—
1038#123—864no—
1039#123—864no—
1040#123—864no—
1041#123—864no—
1042#123—864no—
1043#123—1722no—
1044C22⋊Q8—864no—
1045C22⋊Q8—864no—
1046C22⋊Q8—864no—
1047#121—24no—
1048#121—864no—
1049#121—864no—
1050#121—864no—
1051#121—864no—
1052#121—864no—
1053#121—864no—
1054#121—1722no—
1055#121—1722no—
1056C4×D4—438no—
1057C4×D4—864no—
1058C4×D4—864no—
1059#117—864no—
1060#117—1722no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
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—864no—
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C4⋊C4C22×D4311yescharacteristic
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C22⋊C4C22×D4311yescharacteristic
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—1722no—
1155C2×C42C22×D4311yescharacteristic
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
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#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186#95C22×D4311yescharacteristic
1187#95C22×D4311yescharacteristic
1188#95C22×D4311yescharacteristic
1189#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
1191#95C22×D4311yescharacteristic
1192C24—431no—
1193C24—431no—
1194C24—431no—
1195C24C23×D4311yescharacteristic
1196C24C23×D4311yescharacteristic
1197C24C23×D4311yescharacteristic
1198C2×Q8—862no—
1199C2×Q8—1721no—
1200C2×Q8—1721no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—434no—
1211C2×D4—862no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—1721no—
1221C2×D4—1721no—
1222C2×D4—1721no—
1223C2×D4—1721no—
1224C2×D4—1721no—
1225C2×D4—1721no—
1226C2×D4—1721no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C2×D4—1721no—
1233C2×D4—1721no—
1234C2×D4—1721no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—1721no—
1244C2×D4—1721no—
1245C2×D4—1721no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—431no—
1256C22×C4—434no—
1257C22×C4—434no—
1258C22×C4—431no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—431no—
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—1721no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
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
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—434no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
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—862no—
1327C4⋊C4—862no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C4⋊C4—1721no—
1334C4⋊C4—1721no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—434no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
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—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4D4×D4314yes—
1385C42—22no—
1386C42—434no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C42—1721no—
1391C42—1721no—
1392C42—1721no—
1393C42—1721no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
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—432no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
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—
1435C23C2×D4×D4312yes—
1436C23C24×D4311yescharacteristic
1437Q8—3442no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—3442no—
1442D4—3442no—
1443D4—3442no—
1444D4—3442no—
1445D4—3442no—
1446D4—3442no—
1447D4—3442no—
1448D4—3442no—
1449D4—3442no—
1450D4—1724no—
1451D4—1724no—
1452D4—1724no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
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—44no—
1488C2×C4—82no—
1489C2×C4—432no—
1490C2×C4—432no—
1491C2×C4—432no—
1492C2×C4—432no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
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—3442no—
1529C2×C4—3442no—
1530C2×C4—3442no—
1531C2×C4—1724no—
1532C2×C4—1724no—
1533C2×C4—1724no—
1534C2×C4—1724no—
1535C2×C4—1724no—
1536C2×C4C2×D4×D4312yes—
1537C2×C4C2×D4×D4312yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—862no—
1560C22—862no—
1561C22—862no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22C22×D4×D4311yescharacteristic
1581C22H(5,𝔽2)×D4311yescharacteristic
1582C22#1458373411yescharacteristic
1583C22#1458373411yescharacteristic
1584C22#1458373511yescharacteristic
1585C22#1458373511yescharacteristic
1586C22#1458373611yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—862no—
1600C4—862no—
1601C4—862no—
1602C4—862no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C2—42no—
1613C2—81no—
1614C2—81no—
1615C2—3441no—
1616C2—3441no—
1617C2—1722no—
1618C2#1914792311yescharacteristic
1619C2#1914835511yescharacteristic
1620C2#1914838111yescharacteristic
1621C2#1914875811yescharacteristic
1622C2#1914884911yescharacteristic
1623C2#1914927211yescharacteristic
1624C2#1914928111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2691C2
hypercenter#2691D43
hypocenterC43#36746
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2691

Complements

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

NH ≅ G/Ntype
1. C2×#14583499C2semidirect
2. C2×#14583490C2semidirect
3. #19142923C2semidirect
4. #19142892C2semidirect
5. #19141464C2semidirect
6. #19141352C2semidirect
7. #19141323C2semidirect
8. #19141306C2semidirect
9. #19141283C2semidirect
10. #19141240C2semidirect
11. #19141124C2semidirect
12. #19141102C2semidirect
13. #19141067C2semidirect
14. #19141028C2semidirect
15. #19141019C2semidirect
16. #19140898C2semidirect
17. #19140854C2semidirect
18. #19140853C2semidirect
19. #19140826C2semidirect
20. #19140742C2semidirect
21. #19140722C2semidirect
22. #19140294C2semidirect
23. #19140221C2semidirect
24. #19140205C2semidirect
25. #19140193C2semidirect
26. #19140069C2semidirect
27. #19139758C2semidirect
28. #19138016C2semidirect
29. #19137995C2semidirect
30. #19137031C2semidirect
31. C43×#2691C2semidirect
238. (C22⋊D43)⋊C4D4semidirect
812. #2691D43semidirect
1001. C43#36746semidirect

Maximal subgroups

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

subgroupindex
C2×#145834992
C2×#145834902
#191429232
#191428922
#191414642
#191413522
#191413232
#191413062
#191412832
#191412402
#191411242
#191411022
#191410672
#191410282
#191410192
#191408982
#191408542
#191408532
#191408262
#191407422
#191407222
#191402942
#191402212
#191402052
#191401932
#191400692
#191397582
#191380162
#191379952
#191370312
C43×#26912
#3674643