Finite Group Databasebeta

← #33978910

Subgroups — #33978910

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic, complemented
2D4×#11924027C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622946C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22621922C211yesmaximal, characteristic, complemented
8#22621917C211yesmaximal, characteristic, complemented
9#22621894C211yesmaximal, characteristic, complemented
10#22621885C211yesmaximal, characteristic, complemented
11#22621789C211yesmaximal, characteristic, complemented
12#22621739C211yesmaximal, characteristic, complemented
13SD16×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621601C211yesmaximal, characteristic, complemented
15#22621424C211yesmaximal, characteristic, complemented
16#22621407C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22621288C211yesmaximal, characteristic, complemented
19#22621255C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22620917C211yesmaximal, characteristic, complemented
22#22620913C211yesmaximal, characteristic, complemented
23#22620862C211yesmaximal, characteristic, complemented
24#22620073C211yesmaximal, characteristic, complemented
25#22620064C211yesmaximal, characteristic, complemented
26#22619979C211yesmaximal, characteristic, complemented
27#22619392C211yesmaximal, characteristic, complemented
28C2×#17988804C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C22×#11924027—21no—
33C2×#14556617C2211yescharacteristic, complemented
34C2×SD16×D73C2211yescharacteristic, complemented
35C22×#11924013C2211yescharacteristic
36C2×D8×D73C2211yescharacteristic
37#17989319C2211yescharacteristic, complemented
38#17989309C2211yescharacteristic, complemented
39#17989299—21no—
40#17989266—21no—
41#17989264—21no—
42#17989257C2211yescharacteristic, complemented
43D4×Dic146C2211yescharacteristic, complemented
44Q8×C22⋊D73C2211yescharacteristic, complemented
45#17989247C2211yescharacteristic, complemented
46#17989243—21no—
47#17989241C2211yescharacteristic, complemented
48#17989237C2211yescharacteristic
49#17989237C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic, complemented
51#17989231—21no—
52#17989226—21no—
53#17989225C2211yescharacteristic, complemented
54#17989224—21no—
55#17989224—21no—
56#17989221C2211yescharacteristic, complemented
57D4×C22⋊D73C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic, complemented
59#17989207—21no—
60#17989174—21no—
61#17989171—21no—
62#17989135C2211yescharacteristic, complemented
63#17989133C2211yescharacteristic, complemented
64#17989132C2211yescharacteristic, complemented
65#17989132C2211yescharacteristic, complemented
66#17989124C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic, complemented
68#17989118C2211yescharacteristic, complemented
69C2×#14556580C2211yescharacteristic, complemented
70#124×D73C2211yescharacteristic, complemented
71#17989097—21no—
72#17989093—21no—
73#17989093—21no—
74#17989059—21no—
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988974C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988906C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988898C2211yescharacteristic, complemented
96#17988890C2211yescharacteristic, complemented
97#17988889C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988882C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988814C2211yescharacteristic, complemented
114#17988813C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic
119#17988804C2211yescharacteristic
120#17988804C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic, complemented
128#17988803C2211yescharacteristic, complemented
129#17988802C2211yescharacteristic
130#17988801C2211yescharacteristic, complemented
131#17988800C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988800C2211yescharacteristic, complemented
134#17988799C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988785C2211yescharacteristic, complemented
139#17988781C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988738C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988730C2211yescharacteristic, complemented
149#17988726C2211yescharacteristic, complemented
150#17988724C2211yescharacteristic, complemented
151#17988724C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic
154#17988721C2211yescharacteristic
155#17988720C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988699C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184C2×#14556515C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—48no—
212C2×#11924027D411yescharacteristic
213C22×Dic146—21no—
214C2×Q8×D73C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C23×Dic73—21no—
222C23×Dic73—21no—
223C22×C4×D73—21no—
224#14556617—42no—
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013—42no—
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242D8×D73—42no—
243C2×#11924012C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556589—21no—
251#14556589C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556587C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556585—21no—
259#14556584—21no—
260#14556582C2311yescharacteristic
261#14556580—21no—
262#14556580—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556579C2311yescharacteristic
268#14556578—21no—
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556576—21no—
278#14556575—21no—
279#14556575—21no—
280#14556575—21no—
281#14556575—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556571—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556562—21no—
318#14556562—21no—
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556560—21no—
323#14556560—21no—
324#14556559—21no—
325#14556559—21no—
326#14556559—21no—
327#14556559—21no—
328#14556559—21no—
329Q8×Dic73C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556D411yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73—21no—
342D4×Dic73D411yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351#14556553—21no—
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551D411yescharacteristic
366#14556551D411yescharacteristic
367#14556549—21no—
368#14556549D411yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C2×C4⋊Dic73C2311yescharacteristic
375C2×C4⋊Dic73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73C2311yescharacteristic
387C2×C4×Dic73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73—21no—
443C22×D4×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445AGL(1,ℤ/8)×C73—42no—
446C2×SD16×C73—42no—
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×M16×C73C2311yescharacteristic
457C22×C8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#124×C73—21no—
460#124×C73C2311yescharacteristic
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#120×C73—21no—
469#120×C73—21no—
470C4×Q8×C73C2311yescharacteristic
471C4×D4×C73—21no—
472C4×D4×C73C2311yescharacteristic
473C4×D4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924028—41no—
489#11924028—41no—
490#11924027—24no—
491#11924027—44no—
492#11924027—44no—
493#11924027—44no—
494#11924027—44no—
495#11924027—44no—
496#11924027—44no—
497#11924027—44no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—44no—
503C2×Dic146C2×D411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—41no—
506Q8×D73—41no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—44no—
529C2×C22⋊D73—44no—
530C2×C22⋊D73C2×D411yescharacteristic
531C2×C22⋊D73C2×D411yescharacteristic
532D4×D73—22no—
533D4×D73—41no—
534D4×D73—41no—
535D4×D73—41no—
536D4×D73—44no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—44no—
548C22×Dic73—44no—
549C22×Dic73C2×D411yescharacteristic
550C22×Dic73C2×D411yescharacteristic
551C22×Dic73C2×D411yescharacteristic
552C22×Dic73C2×D411yescharacteristic
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—44no—
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2411yescharacteristic
564#11924017—41no—
565#11924016—22no—
566#11924016—41no—
567#11924016—41no—
568#11924015—41no—
569#11924015—41no—
570D584—41no—
571D584—41no—
572#11924013—22no—
573#11924013—22no—
574#11924013—41no—
575#11924013—41no—
576#11924013—41no—
577#11924013—41no—
578#11924013—41no—
579#11924012—41no—
580C2×#10596831—41no—
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C8×D73—41no—
586C8×D73—41no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73C2×D411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C24×C73—21no—
658C24×C73—21no—
659#41×C73—41no—
660#41×C73—41no—
661C2×Q8×C73—21no—
662C2×Q8×C73—41no—
663C2×Q8×C73—41no—
664C2×Q8×C73C2411yescharacteristic
665C2×Q8×C73C2411yescharacteristic
666C2×D4×C73—22no—
667C2×D4×C73—22no—
668C2×D4×C73—21no—
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—41no—
677C2×D4×C73—41no—
678C2×D4×C73—44no—
679C2×D4×C73C2×D411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C2×D4×C73C2411yescharacteristic
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689SD16×C73—22no—
690SD16×C73—22no—
691SD16×C73—41no—
692SD16×C73—41no—
693SD16×C73—41no—
694SD16×C73—41no—
695D8×C73—22no—
696D8×C73—41no—
697D8×C73—41no—
698M16×C73—41no—
699C2×C8×C73—41no—
700C2×C8×C73C2411yescharacteristic
701C2×C8×C73C2411yescharacteristic
702C2×C8×C73C2411yescharacteristic
703C2×C8×C73C2411yescharacteristic
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73C2×D411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73C2×D411yescharacteristic
717C22⋊C4×C73C2×D411yescharacteristic
718C42×C73—21no—
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—42no—
725C23×C73—42no—
726C23×C73—42no—
727C23×C73—42no—
728C23×C73—81no—
729C23×C73—81no—
730C23×C73C22×D411yescharacteristic
731C23×C73C22×D411yescharacteristic
732C22×D73—21no—
733C22×D73—21no—
734C22×D73—21no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—42no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73—81no—
744C22×D73C22×D411yescharacteristic
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—21no—
748Q8×C73—21no—
749Q8×C73—81no—
750D4×C73—22no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—21no—
754D4×C73—21no—
755D4×C73—21no—
756D4×C73—21no—
757D4×C73—21no—
758D4×C73—42no—
759D4×C73—42no—
760D4×C73—42no—
761D4×C73—42no—
762D4×C73—42no—
763D4×C73—42no—
764D4×C73—81no—
765D4×C73—81no—
766D4×C73H(5,𝔽2)12yes—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—42no—
776C2×C4×C73—81no—
777C2×C4×C73—81no—
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C2511yescharacteristic
783C22⋊D73—22no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—81no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73AGL(1,ℤ/8)14yescomplemented
799C2×Dic73—22no—
800C2×Dic73—22no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—41no—
807C2×Dic73—41no—
808C2×Dic73—42no—
809C2×Dic73—42no—
810C2×Dic73—42no—
811C2×Dic73—42no—
812C2×Dic73—42no—
813C2×Dic73—42no—
814C2×Dic73—42no—
815C2×Dic73—42no—
816C2×Dic73—42no—
817C2×Dic73—81no—
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—42no—
832D292—81no—
833C4×D73—22no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—41no—
837C4×D73—42no—
838C4×D73—42no—
839C4×D73—42no—
840C4×D73—42no—
841C4×D73—81no—
842C4×D73—81no—
843C4×D73—81no—
844Dic146—22no—
845Dic146—21no—
846Dic146—21no—
847Dic146—42no—
848Dic146—42no—
849Dic146—42no—
850Dic146—81no—
851C8×C73—21no—
852C8×C73—21no—
853C8×C73—21no—
854C8×C73—21no—
855#10596831—21no—
856#10596831—21no—
857#10596831—21no—
858#10596831—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—21no—
862C22×C73—22no—
863C22×C73—21no—
864C22×C73—21no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—41no—
874C22×C73—41no—
875C22×C73—41no—
876C22×C73—84no—
877C22×C73—84no—
878C22×C73C2×AGL(1,ℤ/8)12yes—
879C22×C73C23×D411yescharacteristic
880C2×D73—21no—
881C2×D73—21no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—84no—
892C2×D73—162no—
893C2×D73—162no—
894C2×D73C2×AGL(1,ℤ/8)12yes—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—21no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73C2×H(5,𝔽2)11yescharacteristic
904C4×C73#58511yescharacteristic
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—41no—
912Dic73—41no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73C2×AGL(1,ℤ/8)12yes—
917#61989—731nomaximal, Sylow
918C2×C73—22no—
919C2×C73—42no—
920C2×C73—41no—
921C2×C73—81no—
922C2×C73—81no—
923C2×C73—81no—
924C2×C73#348811yescharacteristic
925C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
926C2×C73#358411yescharacteristic
927D73—22no—
928D73—81no—
929D73—81no—
930D73—81no—
931#3514—731no—
932D4×#41—731no—
933#3399—731no—
934#3397—731no—
935#3373—731no—
936#3367—731no—
937#3308—731no—
938#3308—731no—
939#3306—731no—
940#3306—731no—
941#3298—731no—
942#3294—731no—
943D4×SD16—731no—
944D4×D8—731no—
945#3265—731no—
946#3265D7311yescharacteristic, complemented
947#3264—731no—
948#3264—731no—
949#3251—731no—
950#3247—731no—
951#3247—731no—
952#3213—731no—
953#3213—731no—
954#3207—731no—
955#3114—731no—
956#3114—731no—
957#3105—731no—
958#3036—731no—
959C2×#463—731no—
960C2×#463—731no—
961#2990—731no—
962C73#6198911yescharacteristic, complemented, Sylow
963C22×#41—1461no—
964C2×AGL(1,ℤ/8)—731no—
965C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
966C22×SD16—731no—
967C22×SD16C2×D7311yescharacteristic, complemented
968C22×D8—731no—
969C22×D8—731no—
970#559—731no—
971#556—731no—
972#555—1461no—
973#551—1461no—
974#551—1461no—
975#550—731no—
976D4×Q8—731no—
977D4×Q8—731no—
978#548—731no—
979#548—1461no—
980#548C2×D7311yescharacteristic, complemented
981#547—731no—
982#547—731no—
983#547—731no—
984#546—731no—
985#546—731no—
986#546—1461no—
987#546—1461no—
988#546—1461no—
989#546—1461no—
990D42—731no—
991D42—731no—
992D42—731no—
993D42C2×D7311yescharacteristic, complemented
994#542—1461no—
995#538—1461no—
996#538—1461no—
997#532—731no—
998#532—731no—
999#532—731no—
1000#532—731no—
1001#529—731no—
1002#529—731no—
1003#529—731no—
1004C2×#124—731no—
1005C2×#124—731no—
1006#525—1461no—
1007#525—1461no—
1008#525—1461no—
1009#518—1461no—
1010C4×#41—731no—
1011C2×C4×D4—731no—
1012C2×C4×D4—731no—
1013C2×C4×D4—731no—
1014#496—731no—
1015#496—731no—
1016#496—731no—
1017#496C2×D7311yescharacteristic, complemented
1018#493—731no—
1019#492—731no—
1020#489—731no—
1021#489—731no—
1022#489—731no—
1023#489—731no—
1024#487—731no—
1025#486—731no—
1026#484—731no—
1027#483—731no—
1028#483—731no—
1029#481—731no—
1030#480—731no—
1031#480—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#477—731no—
1037#477—731no—
1038#476—731no—
1039#476—731no—
1040#475—731no—
1041#474—731no—
1042#469—731no—
1043#469—731no—
1044#468—731no—
1045#468C2×D7311yescharacteristic, complemented
1046#466—731no—
1047#466—731no—
1048#466—731no—
1049#466C2×D7311yescharacteristic, complemented
1050#465—731no—
1051#465—731no—
1052#465—731no—
1053#465—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#463—731no—
1067#463—731no—
1068#463—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463C2×D7311yescharacteristic, complemented
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#460C2×D7311yescharacteristic, complemented
1079#459—731no—
1080#459—731no—
1081#459—731no—
1082#459—731no—
1083#459—731no—
1084#450—731no—
1085#450—731no—
1086#450C2×D7311yescharacteristic, complemented
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449C2×D7311yescharacteristic, complemented
1091#448—731no—
1092#448—731no—
1093#448—731no—
1094#448C2×D7311yescharacteristic, complemented
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447C2×D7311yescharacteristic
1102#446—731no—
1103#446—731no—
1104#442—731no—
1105#442—731no—
1106#442—731no—
1107#442—731no—
1108#440—731no—
1109#440—731no—
1110#440—731no—
1111#440C2×D7311yescharacteristic, complemented
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×D8—731no—
1115C4×D8—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#435C2×D7311yescharacteristic, complemented
1120C8×D4—731no—
1121C8×D4—731no—
1122#432—731no—
1123#432—731no—
1124#431—731no—
1125#423—731no—
1126C2×C4⋊C8—731no—
1127C2×C4⋊C8—731no—
1128#417—731no—
1129#417—731no—
1130C2×#103—731no—
1131C2×#103—731no—
1132C2×#102—731no—
1133C2×#102—731no—
1134C2×#41—2928no—
1135C2×#41—731no—
1136C2×#41—731no—
1137C2×#41—1461no—
1138C2×#41—1461no—
1139C2×#41—1461no—
1140C2×#41—1461no—
1141C2×#41—1461no—
1142C2×#41—1461no—
1143C2×#41—1461no—
1144C2×#41C22×D7311yescharacteristic
1145C22×Q8—731no—
1146C22×Q8—1461no—
1147C22×Q8C22×D7311yescharacteristic
1148C22×D4—21no—
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—1461no—
1153C22×D4—1461no—
1154C22×D4—1461no—
1155C22×D4C22×D7311yescharacteristic
1156C22×D4C22×D7311yescharacteristic
1157C23×C4—1461no—
1158C23×C4—1461no—
1159C23×C4—1461no—
1160AGL(1,ℤ/8)—42no—
1161AGL(1,ℤ/8)—2922no—
1162C2×SD16—42no—
1163C2×SD16—2922no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16C22×D7311yescharacteristic
1171C2×SD16C22×D7311yescharacteristic
1172C2×SD16C22×D7311yescharacteristic
1173C2×SD16C22×D7311yescharacteristic
1174C2×SD16C22×D7311yescharacteristic
1175C2×SD16C22×D7311yescharacteristic
1176C2×D8—2922no—
1177C2×D8—2922no—
1178C2×D8—731no—
1179C2×D8—731no—
1180C2×D8—731no—
1181C2×D8—731no—
1182C2×D8—731no—
1183C2×D8—731no—
1184C2×D8—731no—
1185C2×D8—731no—
1186C2×D8—731no—
1187C2×D8C22×D7311yescharacteristic
1188C2×D8C22×D7311yescharacteristic
1189C2×D8C22×D7311yescharacteristic
1190C2×M16—731no—
1191C2×M16C22×D7311yescharacteristic
1192C22×C8—731no—
1193C22×C8—731no—
1194C22×C8—731no—
1195C22×C8C22×D7311yescharacteristic
1196C4⋊Q8—731no—
1197C4⋊Q8—731no—
1198C4⋊Q8—731no—
1199C4⋊Q8—731no—
1200C4⋊Q8—1461no—
1201#127—731no—
1202#127—731no—
1203#127—731no—
1204#127C22×D7311yescharacteristic
1205#126—1461no—
1206#126—1461no—
1207#126—1461no—
1208#126—1461no—
1209#126—1461no—
1210#125—731no—
1211#124—21no—
1212#124—731no—
1213#124—731no—
1214#124—731no—
1215#124—731no—
1216#124—731no—
1217#124—731no—
1218#124—1461no—
1219#124—1461no—
1220#124—1461no—
1221#124—1461no—
1222#124—1461no—
1223#124—1461no—
1224#124—1461no—
1225#124—1461no—
1226#124—1461no—
1227#124C22×D7311yescharacteristic
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241C22⋊Q8—21no—
1242C22⋊Q8—731no—
1243C22⋊Q8—731no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249C22⋊Q8—1461no—
1250C22⋊Q8—1461no—
1251C22⋊Q8—1461no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8C22×D7311yescharacteristic
1255#121—21no—
1256#121—21no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—731no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121C22×D7311yescharacteristic
1278#121C22×D7311yescharacteristic
1279#121C22×D7311yescharacteristic
1280#120—21no—
1281#120—21no—
1282#120—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290C4×Q8—731no—
1291C4×Q8—731no—
1292C4×Q8—731no—
1293C4×Q8—731no—
1294C4×Q8C22×D7311yescharacteristic
1295C4×D4—21no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4C22×D7311yescharacteristic
1331C4×D4C22×D7311yescharacteristic
1332#117—731no—
1333#117—731no—
1334#117—731no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338#117—1461no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—731no—
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C22⋊C4—1461no—
1350C2×C22⋊C4—1461no—
1351C2×C42—731no—
1352C2×C42—731no—
1353C2×C42—731no—
1354#107—731no—
1355#107—731no—
1356#107—731no—
1357#107C22×D7311yescharacteristic
1358#106—731no—
1359#106—731no—
1360#106—731no—
1361#106—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8—731no—
1368C4⋊C8—731no—
1369C4⋊C8—731no—
1370C4⋊C8—731no—
1371C4⋊C8C22×D7311yescharacteristic
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103C22×D7311yescharacteristic
1383#103C22×D7311yescharacteristic
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102C22×D7311yescharacteristic
1401#102C22×D7311yescharacteristic
1402#102C22×D7311yescharacteristic
1403#102C22×D7311yescharacteristic
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406C22⋊C8—731no—
1407C22⋊C8—731no—
1408C22⋊C8C22×D7311yescharacteristic
1409C22⋊C8C22×D7311yescharacteristic
1410#97—731no—
1411#97—731no—
1412#97—731no—
1413#97C22×D7311yescharacteristic
1414C4×C8—731no—
1415C4×C8—731no—
1416C24—21no—
1417C24—21no—
1418C24—1461no—
1419C24—1461no—
1420C24—1461no—
1421#41—41no—
1422#41—41no—
1423#41—2921no—
1424#41—2921no—
1425#41—2924no—
1426#41—2924no—
1427#41—2924no—
1428#41—2924no—
1429#41—2924no—
1430#41—2924no—
1431#41—2924no—
1432#41—1464no—
1433C2×Q8—21no—
1434C2×Q8—41no—
1435C2×Q8—41no—
1436C2×Q8—2924no—
1437C2×Q8—2921no—
1438C2×Q8—2921no—
1439C2×Q8—731no—
1440C2×Q8—731no—
1441C2×Q8—1461no—
1442C2×Q8—1461no—
1443C2×Q8—1461no—
1444C2×Q8—1461no—
1445C2×Q8C23×D7311yescharacteristic
1446C2×Q8C23×D7311yescharacteristic
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—41no—
1458C2×D4—41no—
1459C2×D4—44no—
1460C2×D4—2921no—
1461C2×D4—2921no—
1462C2×D4—2924no—
1463C2×D4—2924no—
1464C2×D4—2924no—
1465C2×D4—2921no—
1466C2×D4—2921no—
1467C2×D4—2921no—
1468C2×D4—731no—
1469C2×D4—731no—
1470C2×D4—731no—
1471C2×D4—731no—
1472C2×D4—731no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1462no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4D4×D7311yescharacteristic
1491C2×D4C23×D7311yescharacteristic
1492C2×D4C23×D7311yescharacteristic
1493C2×D4C23×D7311yescharacteristic
1494C2×D4C23×D7311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—2924no—
1499C22×C4—2924no—
1500C22×C4—2924no—
1501C22×C4—731no—
1502C22×C4—731no—
1503C22×C4—731no—
1504C22×C4—731no—
1505C22×C4—731no—
1506C22×C4—731no—
1507C22×C4—731no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4—1461no—
1525C22×C4C23×D7311yescharacteristic
1526C22×C4C23×D7311yescharacteristic
1527SD16—22no—
1528SD16—22no—
1529SD16—41no—
1530SD16—41no—
1531SD16—41no—
1532SD16—41no—
1533SD16—2921no—
1534SD16—2921no—
1535SD16—2921no—
1536SD16—2921no—
1537SD16—2921no—
1538SD16—1462no—
1539D8—22no—
1540D8—41no—
1541D8—41no—
1542D8—2921no—
1543D8—2921no—
1544D8—2921no—
1545D8—2921no—
1546D8—2921no—
1547D8—2921no—
1548D8—2921no—
1549D8—1462no—
1550D8—1462no—
1551M16—41no—
1552M16—2921no—
1553C2×C8—41no—
1554C2×C8—2921no—
1555C2×C8—2921no—
1556C2×C8—2921no—
1557C2×C8—731no—
1558C2×C8—731no—
1559C2×C8—731no—
1560C2×C8—731no—
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C2×C8C23×D7311yescharacteristic
1564C2×C8C23×D7311yescharacteristic
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—731no—
1568C4⋊C4—731no—
1569C4⋊C4—731no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—731no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4—1461no—
1590C4⋊C4D4×D7311yescharacteristic
1591C4⋊C4C23×D7311yescharacteristic
1592C4⋊C4C23×D7311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—731no—
1603C22⋊C4—731no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4D4×D7311yescharacteristic
1637C22⋊C4D4×D7311yescharacteristic
1638C42—21no—
1639C42—731no—
1640C42—731no—
1641C42—731no—
1642C42—731no—
1643C42—731no—
1644C42—731no—
1645C42—731no—
1646C42—731no—
1647C42—731no—
1648C42—1461no—
1649C42—1461no—
1650C42C23×D7311yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—42no—
1656C23—42no—
1657C23—42no—
1658C23—42no—
1659C23—81no—
1660C23—81no—
1661C23—2922no—
1662C23—2922no—
1663C23—2922no—
1664C23—2922no—
1665C23—5841no—
1666C23—5841no—
1667C23—5841no—
1668C23—5841no—
1669C23—5841no—
1670C23—731no—
1671C23—1461no—
1672C23—1461no—
1673C23—1461no—
1674C23C2×D4×D7311yescharacteristic
1675C23C2×D4×D7311yescharacteristic
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—81no—
1681Q8—2922no—
1682Q8—2922no—
1683Q8—2922no—
1684Q8—5841no—
1685Q8—1462no—
1686Q8—1461no—
1687Q8—1461no—
1688D4—22no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—42no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—42no—
1701D4—42no—
1702D4—81no—
1703D4—81no—
1704D4—2922no—
1705D4—2922no—
1706D4—2922no—
1707D4—2922no—
1708D4—2922no—
1709D4—2922no—
1710D4—2922no—
1711D4—2922no—
1712D4—2922no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—5841no—
1718D4—5841no—
1719D4—5841no—
1720D4—734no—
1721D4—1462no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726D4—1461no—
1727D4—1461no—
1728D4#1455663612yes—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—42no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—2922no—
1741C2×C4—2921no—
1742C2×C4—2922no—
1743C2×C4—2922no—
1744C2×C4—2922no—
1745C2×C4—2922no—
1746C2×C4—2922no—
1747C2×C4—2922no—
1748C2×C4—2922no—
1749C2×C4—2922no—
1750C2×C4—2922no—
1751C2×C4—2922no—
1752C2×C4—2922no—
1753C2×C4—2922no—
1754C2×C4—2921no—
1755C2×C4—2921no—
1756C2×C4—5841no—
1757C2×C4—5841no—
1758C2×C4—5841no—
1759C2×C4—5841no—
1760C2×C4—731no—
1761C2×C4—731no—
1762C2×C4—731no—
1763C2×C4—731no—
1764C2×C4—731no—
1765C2×C4—731no—
1766C2×C4—731no—
1767C2×C4—1462no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4—1462no—
1774C2×C4—1462no—
1775C2×C4—1461no—
1776C2×C4—1461no—
1777C2×C4C2×D4×D7311yescharacteristic
1778C2×C4C2×D4×D7311yescharacteristic
1779C2×C4C2×D4×D7311yescharacteristic
1780C2×C4C2×D4×D7311yescharacteristic
1781C2×C4C24×D7311yescharacteristic
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—1461no—
1787C8—1461no—
1788C8—1461no—
1789C8—1461no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—22no—
1794C22—21no—
1795C22—21no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—84no—
1808C22—84no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—2921no—
1813C22—2921no—
1814C22—2921no—
1815C22—2921no—
1816C22—2921no—
1817C22—2921no—
1818C22—5844no—
1819C22—732no—
1820C22—11682no—
1821C22—11682no—
1822C22—1461no—
1823C22—1461no—
1824C22AGL(1,ℤ/8)×D7312yes—
1825C22C22×D4×D7311yescharacteristic
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—2921no—
1835C4—2921no—
1836C4—2921no—
1837C4—2921no—
1838C4—2921no—
1839C4—732no—
1840C4—1461no—
1841C4—1461no—
1842C4—1461no—
1843C4—1461no—
1844C4—1461no—
1845C4—1461no—
1846C4C2×#1455663611yescharacteristic
1847C4#1798942211yescharacteristic
1848C2—22no—
1849C2—41no—
1850C2—42no—
1851C2—81no—
1852C2—81no—
1853C2—81no—
1854C2—5841no—
1855C2—5841no—
1856C2—5841no—
1857C2—1462no—
1858C2#2262359111yescharacteristic
1859C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1860C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61989
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. D4×#11924027C2semidirect
3. #22622970C2semidirect
4. #22622946C2semidirect
5. #22622718C2semidirect
6. #22622650C2semidirect
7. #22621922C2semidirect
8. #22621917C2semidirect
9. #22621894C2semidirect
10. #22621885C2semidirect
11. #22621789C2semidirect
12. #22621739C2semidirect
13. SD16×C22⋊D73C2semidirect
14. #22621601C2semidirect
15. #22621424C2semidirect
16. #22621407C2semidirect
17. #22621405C2semidirect
18. #22621288C2semidirect
19. #22621255C2semidirect
20. #22621250C2semidirect
21. #22620917C2semidirect
22. #22620913C2semidirect
23. #22620862C2semidirect
24. #22620073C2semidirect
25. #22620064C2semidirect
26. #22619979C2semidirect
27. #22619392C2semidirect
28. C2×#17988804C2semidirect
29. #463×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3265C2semidirect
33. C2×#14556617C22semidirect
34. C2×SD16×D73C22semidirect
37. #17989319C22semidirect
38. #17989309C22semidirect
42. #17989257C22semidirect
43. D4×Dic146C22semidirect
44. Q8×C22⋊D73C22semidirect
45. #17989247C22semidirect
47. #17989241C22semidirect
49. #17989237C22semidirect
50. #17989233C22semidirect
53. #17989225C22semidirect
56. #17989221C22semidirect
58. D4×C22⋊D73C22semidirect
62. #17989135C22semidirect
63. #17989133C22semidirect
64. #17989132C22semidirect
65. #17989132C22semidirect
66. #17989124C22semidirect
67. #17989123C22semidirect
68. #17989118C22semidirect
69. C2×#14556580C22semidirect
70. #124×D73C22semidirect
76. C2×D4×Dic73C22semidirect
77. C2×D4×Dic73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988974C22semidirect
80. #17988973C22semidirect
81. #17988973C22semidirect
82. #17988962C22semidirect
83. #17988958C22semidirect
84. #17988948C22semidirect
85. #17988948C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988920C22semidirect
91. #17988918C22semidirect
92. #17988916C22semidirect
93. #17988906C22semidirect
94. #17988902C22semidirect
95. #17988898C22semidirect
96. #17988890C22semidirect
97. #17988889C22semidirect
98. #17988889C22semidirect
99. #17988889C22semidirect
100. #17988882C22semidirect
101. #17988881C22semidirect
102. #17988878C22semidirect
103. #17988875C22semidirect
104. #17988870C22semidirect
105. #17988866C22semidirect
106. #17988840C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988816C22semidirect
113. #17988814C22semidirect
114. #17988813C22semidirect
115. #17988813C22semidirect
116. #17988805C22semidirect
117. #17988805C22semidirect
120. #17988804C22semidirect
121. #17988804C22semidirect
122. #17988804C22semidirect
123. #17988804C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
127. #17988804C22semidirect
128. #17988803C22semidirect
130. #17988801C22semidirect
131. #17988800C22semidirect
132. #17988800C22semidirect
133. #17988800C22semidirect
134. #17988799C22semidirect
135. #17988790C22semidirect
136. #17988790C22semidirect
137. #17988786C22semidirect
138. #17988785C22semidirect
139. #17988781C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988738C22semidirect
145. #17988736C22semidirect
146. #17988734C22semidirect
147. #17988732C22semidirect
148. #17988730C22semidirect
149. #17988726C22semidirect
150. #17988724C22semidirect
151. #17988724C22semidirect
152. #17988723C22semidirect
155. #17988720C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988699C22semidirect
163. #17988697C22semidirect
164. #17988685C22semidirect
165. #17988684C22semidirect
166. #17988684C22semidirect
167. SD16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
170. #17988667C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. C2×#14556515C22semidirect
185. #103×D73C22semidirect
186. C2×#14556513C22semidirect
187. #102×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
798. C22⋊D73AGL(1,ℤ/8)semidirect
946. #3265D73semidirect
962. C73#61989semidirect
965. C2×AGL(1,ℤ/8)C2×D73semidirect
967. C22×SD16C2×D73semidirect
980. #548C2×D73semidirect
993. D42C2×D73semidirect
1017. #496C2×D73semidirect
1045. #468C2×D73semidirect
1049. #466C2×D73semidirect
1073. #463C2×D73semidirect
1078. #460C2×D73semidirect
1086. #450C2×D73semidirect
1090. #449C2×D73semidirect
1094. #448C2×D73semidirect
1111. #440C2×D73semidirect
1119. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
D4×#119240272
#226229702
#226229462
#226227182
#226226502
#226219222
#226219172
#226218942
#226218852
#226217892
#226217392
SD16×C22⋊D732
#226216012
#226214242
#226214072
#226214052
#226212882
#226212552
#226212502
#226209172
#226209132
#226208622
#226200732
#226200642
#226199792
#226193922
C2×#179888042
#463×D732
#226190512
C73×#32652
#6198973